Answer:
[tex]\frac{1}{2}[/tex] of the pie.
Step-by-step explanation:
We have been given that Christine baked a pumpkin pie. She ate 1/6 of the pie. Her brother ate 1/3 of it and gave leftovers to his friends.
Let us find out pie given to friends by subtracting amount of pie eaten by Christine and her brother from 1 pie, that will be 6/6.
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{1}{3})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{2*1}{2*3})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-(\frac{1}{6}+\frac{2}{6})[/tex]
[tex]\text{The pie given to friends}=\frac{6}{6}-\frac{3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{6-3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{3}{6}[/tex]
[tex]\text{The pie given to friends}=\frac{1}{2}[/tex]
Therefore, he gave [tex]\frac{1}{2}[/tex] of the pie to his friends.
CAN someone help with measure of angles
RSV
VSU
UST
Answer:
∠XVR = 125°∠RVS = 55°∠WVS = 125°Step-by-step explanation:
Any angles on opposite sides of the intersection point of crossing lines are "vertical" angles, and they have identical measure.
Any angles along the same side of the same line are "linear" angles, and they are supplementary (add to 180°).
The angles inside a triangle add to 180°.
Using these relationships, work from the given information to find the rest of the angles.
help me with these math questions.
graph A
no x-intercept
no y-intercept
H.A is y = 5
V. A. is x = 0
*****************************************
Answer: [tex]\frac{150}{31}[/tex]
Step by step explanation:
log₆(5x + 6) - log₆(x - 4) = 2
log₆[tex](\frac{5x+6}{x-4})[/tex] = 2
[tex](\frac{5x+6}{x-4})[/tex] = 6²
[tex](\frac{5x+6}{x-4})[/tex] = 36
5x + 6 = 36(x - 4)
5x + 6 = 36x - 144
6 = 31x - 144
150 = 31x
[tex]\frac{150}{31}[/tex] = x
**********************************************************
Answers:
a. (-1, -5)b. upc. x = -1d. [tex]\frac{-2+\sqrt{15}}{3} and\frac{-2-\sqrt{15}}{3}[/tex]e. -2f. see attachmentg. domain (-∞, ∞) range [-5, ∞)Explanation:
f(x) = 3x² + 6x - 2
a=3 b=6 c=-2
x = [tex]\frac{-b}{2a} =\frac{-6}{2(3)} = \frac{-6}{6} = -1[/tex]
Axis Of Symmetry: x = -1
f(-1) = 3(-1)² + 6(-1) - 2
= 3 - 6 - 2
= -5
Vertex: (-1, -5)
x = [tex]\frac{-b+/-\sqrt{b^{2}-4ac}}{2a}[/tex]
= [tex]\frac{-6+/-\sqrt{6^{2}-4(3)(-2)}}{2(3)}[/tex]
= [tex]\frac{-6+/-\sqrt{36+24}}{6}[/tex]
= [tex]\frac{-6+/-\sqrt{60}}{6}[/tex]
= [tex]\frac{-6+/-2\sqrt{15}}{6}[/tex]
= [tex]\frac{-2+/-\sqrt{15}}{3}[/tex]
x-intercepts: [tex]\frac{-2+/-\sqrt{15}}{3}[/tex]
Determine if (-1,9) and (-2,6) are solutions to the system of equations: x + y = 8 x2 + y = 10 A) Both are solutions B) Neither is a solution. C) It cannot be determined. D) Only (-1,9) is a solution.
Answer:
D) Only (-1,9) is a solution.
Step-by-step explanation:
x+y =8
x^2 + y = 10
Lets check the first point (-1,9)
Put in x =-1 y =9
x+y =8
-1+9 = 8
8 =8
This works
x^2 + y = 10
(-1)^2 +9 =10
1+9 = 10
10 = 10
This works
Lets check the second point (-2,6)
Put in x =-2 y =6
x+y =8
-2+6 = 8
4=8
This does not work
We can stop now. (-2,6) cannot be a solution
After substituting the given pairs into both equations, only the pair (-1,9) satisfies the system of equations, meaning Only (-1,9) is a solution (D).
To determine if the given pairs (-1,9) and (-2,6) are solutions to the system of equations x + y = 8 and x² + y = 10, we need to plug the x and y values from each pair into the equations and check for their validity.
Checking Pair (-1,9):
For the first equation:
x + y = 8For the second equation:
x² + y = 10Checking Pair (-2,6):
For the first equation:
x + y = 8For the second equation, the check is unnecessary as the pair already failed the first equation.
Therefore, the correct answer is D) Only (-1,9) is a solution.
plsplspls help i need 3 answers look at all three pics
Answers:
Angle A = 62.1 degrees
Angle X corresponds to angle A
The triangles are not similar
=========================================
Explanation:
To find angle A, subtract the given angles B and C from 180 to get 180 - B - C = 180 - 60.8 - 57.1 = 62.1 degrees
Notice how none of the angles of triangle ABC have a measure of 59.1, so this means that angle Y cannot be congruent to any of A, B or C. This is why the triangles are not similar. We would need 2 pairs of congruent angles to use the AA (angle angle) similarity theorem.
If the triangles were similar, then we can say triangle ABC is similar to triangle XYZ. The letters A and X are the first letters mentioned of the trio of letters, which means that they correspond to one another.
Orlando invested $16,000 in an eight-year CD bearing 6.5% simple annual interest, but needed to withdraw $3,500 after five years. If the CD’s penalty for early withdrawal was one year’s worth of interest on the amount withdrawn, when the CD reached maturity, how much less money did Orlando earn total than if he had not made his early withdrawal? a. $227.50 b. $682.50 c. $910.00 d. $455.00
Answer:
Therefore, the correct option is OPTION C.
Step-by-step explanation:
If Orlando had not made his early withdrawal, the amount of money he would have earned is:
F = 0.065($16,000)(8) = $8.320
Given that he withdraw $3500, he now earns:
F1 = (0.065)($16,000)(5) + ($12,500)(0.065)(3)
F1 = $5200 + $2437.5 = $7637.5
And now we have to take into acount the year of penalty, which is one year’s worth of interest on the amount withdrawn.
Penalty= $3500(0.065)(1) = $227.5
So the total money he earns now is: $7637.5 - $227.5 = $7410
Then, the amunt of money he could have earn but he didn't is:
Money = $8.320 - $7410 = $910
Therefore, the correct option is OPTION C.
Answer:
Its C
Step-by-step explanation:
A cell phone package charges $39 even if 0 minutes are used during the month. Each additional minute of talk time adds $0.07. What is the total cost if you talked on the phone for 10 hours during the month?
using the formal y = mx + b
Answer:
total cost = $ 81
Step-by-step explanation:
It is given that the fixed cost is $ 39
and the cost per minute is $0.07
Let us assume the number of minutes used be x
we have
total cost = cost per minute × number of minutes used + fixed cost
we plug the given values, so we have
[tex]total cost = 0.07 x+39[/tex]
we need to find the total cost for 10 hours used
x= 10 hours = 10(60) minutes = 600 minutes
so we have total cost for x= 600 minutes
[tex]total cost = 0.07(600)+39[/tex]
[tex]total cost =42+39 = 81[/tex]
hence the total cost = $ 81
Please help im so dumb...uwu
Answer:
127
Step-by-step explanation:
We can use the Exterior Angle of a Triangle theorem to find x. It states that the exterior angle of a triangle is equal to the sum of the two opposite interior angles.
We will start with x+5. It is equal to 79 +____ an angle we don't know yet. But we do know that the angle____ and x equals 180 because they form a straight line. Therefore the unknown angle must be 180-x.
So we will set x+5=79+180-x. We will combine like terms, use inverse operations, and isolate.
x+5=79+180-x
x+5=259-x
x+x+5=259-x+x
2x+5=259
2x+5-5=259-5
2x=254
x=127
Answer:
127
Step-by-Step Explanation:
I already did this on edginuety :)
'' HOT PIZZA''is offering 20% disscount on all its pizzas. Ali orders a pizza for the reduced price of ?5.60 what was the origanal pizza?
Final answer:
To find the original price of a pizza before a 20% discount that resulted in a final price of £5.60, divide the final price by 0.8. The original price is calculated to be £7.00.
Explanation:
The question involves determining the original price of a pizza before a 20% discount was applied, given that the reduced price after the discount is £5.60.
To calculate the original price, we can use the formula for finding the original price when the final price and discount rate are known.
Let's denote the original price as OP. Since a 20% discount was applied, the pizza sold for 80% of its original price. The equation representing this situation is:
0.8 × OP = £5.60
Now, we divide the reduced price by 0.8 to find the original price:
OP = £5.60 / 0.8
OP = £7.00
Thus, the original price of the pizza was £7.00 before the 20% discount was applied.
Write an equation for the parabola shown in the picture.
Answer:
D
Step-by-step explanation:
First, he parabola has a sideways orientation. This signals that x and y have been reversed within the equation meaning [tex]x^{2} --->y^{2}[/tex]. We first look for answers for which y has been raised to the seocnd power instead of x. This leaves answer choice a, b, and d.
Second, we find the vertex of the parabola (center point of the U) at (2,-3). We write them with inverse signs. (x-2) since 2 is the x-coordinate. (y+3) since -3 is the y-coordinate.
The only answer choice meeting these requirements is D.
D. x-2 = (-2/9)(y +3)^2
Step-by-step explanation:The parent function, x = y^2 is translated 2 units to the right and 3 units down. This means x is replaced by x-2, and y is replaced by y+3.
There is also a horizontal scale factor involved. It is useful to use the point (0, 0) to determine what it is.
... (x -2) = a(y +3)^2 . . . . . the translated function with unknown factor "a"
... 0 -2 = a(0 +3)^2 . . . . . .substitute (x, y) = (0, 0)
... -2 = 9a . . . . . . . . . . . . . simplify
... a = -2/9 . . . . . . . . . . . . .divide by the coefficient of "a"
So, the graph is described by ...
... (x-2) = (-2/9)(y+3)^2 . . . . . matches selection D
75 points to the first person who helps
The dot plot below shows the number of different types of trees in Sean's garden:
A straight line is shown with 4 equidistant marks. The first mark is labeled Redbud, the second mark is labeled Magnolia, the third mark is labeled Snowbell, and the fourth mark is labeled Maple. The first mark has 2 dots, the second mark has 3 dots, the third mark has 1 dot, and the fourth mark has 4 dots. Below the line is written Number of Trees.
Which table shows the data displayed in the dot plot?
Garden Trees Number
Redbud 4
Magnolia 1
Snowbell 3
Maple 2
Garden Trees Number
Redbud 1
Magnolia 2
Snowbell 0
Maple 3
Garden Trees Number
Redbud 2
Magnolia 5
Snowbell 6
Maple 10
Garden Trees Number
Redbud 2
Magnolia 3
Snowbell 1
Maple 4
Answer:
Garden Trees Number
Redbud 2
Magnolia 3
Snowbell 1
Maple 4
Step-by-step explanation:
If the first mark is labeled Redbud and has 2 dots then it has 2 trees.
If the second mark is labeled Mangolia and has 3 dots then it has 3 trees.
If the third mark is labeled Snowbell and has 1 dot then it has 1 tree.
If the fourth mark is labeled Maple and has 4 dots then it has 4 trees.
Answer:
D
Step-by-step explanation:
Erin has a balance of $1,150.34 in her check register. On her statement, the balance of her account is $844.93. Not reported on the bank statement are deposits of $125.56, $50, and $212.34. There are outstanding checks in the amount of $15 and $78.25 and an ATM withdrawal of $40. After Erin reconciles her check register with her statement, what entry does she need to make in her register?
Answer:
D- -50.76
Step-by-step explanation:
Answer:
Erin must first reconcile her bank account:
She must add to her bank balance all the deposits in transit = $125.56 + $50 + $212.34 = $387.90
then she should subtract all outstanding checks = $15 + $78.25 = $93.25
reconciled bank statement = $844.93 + $387.90 - $93.25 = $1,039.58
if her check register shows a $1,150.34 balance and her reconciled bank statement is $1,039.58, then there is a $10.76 difference that must be accounted for.
The $10.76 are probably bank fees and charges that Erin has not recorded yet. Therefore, she should check her bank statement and look for any charged fees (ATM withdrawal charges + account fees) and then record them properly.
*ATM withdrawals are automatically recorded by the bank, so they do not have to be considered in the reconciliation, there is no such thing as outstanding ATM withdrawal.
Find the perimeter of the rectangle.
104
26
52
208
Answer:
P = 124 inches
Step-by-step explanation:
We will need to use the Pythagorean theorem to find the bottom of the rectangle.
a^2 + b^2 = c^2
14^2 + b^2 = 50^2
196 + b^2 = 2500
Subtract 196 from each side
b^2 = 2500 -196
b^2 =2304
Take the square root of each side
sqrt(b^2) =sqrt(2304)
b=48
The perimeter is equal to
P =2(l+w)
P =2(14+48)
= 2(62)
= 124
Kaitlyn completed a bike race. The length of the race was 11 1/4 miles, and Kaitlyn averages 7 1/2 miles each hour. How long did it take Kaitlyn to finish the race? Show your work, and be sure to include the correct units in your answer.
Answer:
It took Kaitlyn 13.25 hours to complete the race.
Step-by-step explanation:
1. Take the number of miles and the average speed per mile
2. Multiply the distance by the speed; 11 1/4 x 7 1/2
4. Solve; 13 1/4 hours
5. Convert into decimals; 13.25 hours
There are more inches on a football field (100 yards) than there are centimeters on a 28 meter basketball court true or false
Answer:
The given statement is True
Step-by-step explanation:
WE have to find out that which one has more no of inches
so now we have
100 yards football field
28 meter basketball court
Total no of inches in one yard = 36 inches
Total no of inches in 100 yard = 36 * 100
= 3600 inches
Now total no of inches in one meter = 39.3701 inches
Total no of inches in 28 meter = 28 * 39.3701
=1102.3628 inches
So we can see that 1102.3628 is smaller than 3600
So It can also be seen that football field has more inches then a basketball court
So the given statement is True
Answer:
The given statement is true.
Step-by-step explanation:
First we will apply conversions to given terms:
1 yard has = 36 inches
So, 100 yards has = [tex]36\times100=3600[/tex] inches.
1 meter = 100 cm
So, 28 meters has = [tex]28\times100=2800[/tex] cm
So, now upon comparing we can see that 3600 is greater than 2800.
Therefore, the inches in a 100 yard field are greater than the cm in a 28 meter basketball court.
The statement given here is true.
Geometry problem below
Answer:
Answer D. "ASA"
Step-by-step explanation:
Answer:
ASA
Step-by-step explanation:
When looking at the postulates, we need to know what they stand for
SSS, is side side side
SAS is Side angle side
AAS is angle angle side
ASA is Angle side angle (the side is between the angles)
In the picture we know 2 angles and the included side
so we will use ASA
If you answer this I will mark you brainy!!! In an appropriate environment, guppies reproduce at an astounding rate. a population of breeding guppies doubles every 2 months. How many guppies will there be after 6 months if the beginning population is 180 guppies? A. 1440 guppies B. 1080 guppies C. 360 guppies D. 2880 guppies
The correct answer is A, 1440 guppies.
Answer:
Option A. 1440 guppies
Step-by-step explanation:
In an appropriate environment, the population of breeding guppies doubles every 2 months.
Initial population of guppies = 180
after 2 months they doubles = 180 × 2 = 360
after 4 months they doubles = 360 × 2 = 720
after 6 months they doubles again = 720 × 2 = 1440
After 6 months guppies population would be 1440.
Please check out my question
Answer: Choice D) x intercept of f(x) is larger then the x intercept of g(x)
===================================
Explanation:
A) False. The x intercept of f is 1 while the x intercept of g is -1. The x intercept happens when y = 0. Visually, this is where the graph crosses the x axis.
B) False. The y intercept of f(x) is -1, compared to the y intercept of g(x) is +1. The y intercept happens when x = 0, which is when the graph crosses the y axis.
C) False. The y intercept of f(x) is actually smaller than the y intercept for g(x)
D) True. The x intercept of f(x) is larger than the x intercept of g(x). Compare 1 and -1, which are the x intercepts for f and g in that order.
Answer: D
Step-by-step explanation:
NOTES:
x-intercept is when y = 0y-intercept is when x = 0f(x) g(x)
x-int: 1 -1
y-int: -1 1
A) x-intercepts are not equal so FALSE
B) y-intercepts are not equal so FALSE
C) y-intercept of f(x) is not greater than g(x) so FALSE
D) x-intercept of f(x) is greater than g(x) so TRUE
Jane is painting her room. She mixes 3 pints of blue paint with 4 pints of red paint to get her desired color. Which equation can be used to find the number of pints of blue paint (x) Jane should mix with 16 pints of red paint? A) 3 x = 16 4 B) 3 4 = x 16 C) 3 16 = 4 x D) x 16 = 4 3
Answer: Option 'C' is correct.
Step-by-step explanation:
Since we have given that
Jane mixes 3 pints of blue paint with 4 pints of red paint to get her desired color.
So, the ratio will be
[tex]3:4[/tex]
We have 16 pints of red paint and we have to find the pints of blue paint 'say x'.
According to question,
Since there is "direct variation" . So,our equation becomes,
[tex]\frac{3}{16}=\frac{4}{x}\\\\x=\frac{16\times 4}{3}\\\\x=\frac{64}{3}\\\\x=21.34[/tex]
Hence, Option 'C' is correct.
Answer:
3
4
=
x
16
given ratio =
3
4
and,
3
4
=
12
16
Step-by-step explanation:
A ball is dropped from a height of 5ft and bounces to 60% of I?ts previous height in each subsequent bounce
Answer:
Im assuming youre trying to answer what is the 60% height, it would be 3ft
Step-by-step explanation:
The height of the ball follows a geometric sequence where each subsequent bounce reaches 60% of the height of the previous bounce. The height continues to decrease but does so following a consistent pattern of 60% reduction with each bounce.
Explanation:The problem presented involves the bouncing of a ball and is described as a geometric sequence because each bounce is a constant ratio (60% or 0.6) of the previous height. To understand this sequence, we need to look at it step by step.
Initially, the ball is dropped from a height of 5ft therefore, the initial height is 5ft. With each subsequent bounce, the ball bounces to 60% of its previous height. The height after the first bounce would be 0.6 times the initial height, which equals to 0.6*5 = 3ft. After the second bounce, the height would be again 60% of the previous height, which calculates to 0.6*3 = 1.8ft. This continues for each subsequent bounce.
So, the height of the ball after each bounce decreases but it follows a constant pattern - every next height is 60%, or 0.6, of the previous one, which is a characteristic of geometric sequences.
Learn more about geometric sequences here:https://brainly.com/question/13008517
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At the county fair, two hot dogs and an ice cream cone cost $2.50. Two slices of pizza and an ice cream cone cost $3.50. What is the total cost of one hot dog, one slice of pizza and one ice cream cone at the county fair?
Answer:
The total cost of one hot dog, one slice of pizza and one ice cream cone at the county fair is $3.
Step-by-step explanation:
Let us assume that the cost of the one hot dogs be x.
Let us assume that the cost of the one ice cream cone be y.
Let us assume that the cost of the one silce of pizza be z.
As given
At the county fair, two hot dogs and an ice cream cone cost $2.50.
Than the equation becomes
2x + y = 2.50
Two slices of pizza and an ice cream cone cost $3.50.
2z + y = 3.50
Than two equations are
2x + y = 2.50 and 2z + y = 3.50
Adding the both above equation.
2x + y + 2z + y = 2.50 + 3.50
2x + 2z + 2y = 6
[tex]x + y + z = \frac{6}{2}[/tex]
x + y + z = 3
Therefore the total cost of one hot dog, one slice of pizza and one ice cream cone at the county fair is $3.
Evaluate the infinite sum
The sum does not converge because [tex]\dfrac76>1[/tex].
Answer:
It does not converge.
Step-by-step explanation:
Given is an infinite geometric series whose first term is a = 4/7 and common ratio is r = 7/6.
The series ∑a·rⁿ converges if we have |r| < 1.
And the series ∑a·rⁿ diverges if we have |r| > 1.
But we can easily check that |r| = 7/6 > 1.
It means the given series diverges, i.e. does not converge.
Hence, option D is correct answer, i.e. It does not converge.
Which best describes your ability to write a linear equation in standard point slope and slope intercept form
Final answer:
Writing a linear equation requires knowing the slope-intercept form (y = mx + b), where m is the slope and b is the y-intercept, and the point-slope form (y - y1 = m(x - x1)), useful when a point on the line and the slope are known.
Explanation:
The ability to write a linear equation involves understanding different forms, such as standard form, point-slope form, and slope-intercept form. The slope-intercept form of a linear equation is commonly written as y = mx + b, where m represents the slope and b represents the y-intercept. The slope is the rate of change, indicating how much y increases for a one-unit increase in x. The y-intercept is the point where the line cuts the y-axis, which means when x=0.
It's important to note some variations in notation, such as y = a + bx, which is another way to express the slope-intercept form, where a is the y-intercept and b is the slope. When converting between forms, it's essential to identify these components correctly to maintain the equation's integrity.
In point-slope form, an equation of a line is written as y - y1 = m(x - x1), where (x1, y1) is a known point on the line, and m is the slope. This form is particularly useful when you have a point and a slope and need to write the equation of the line.
Define a function that transforms the parent root function with a horizontal compression by a factor of 5 and a downward shift of 10 units.
Answer:
[tex]f(x)=\sqrt[n]{5x}-10[/tex]
Step-by-step explanation:
Compression of a function (in graph) occurs when the coefficient of the function (the number in front of [tex]x[/tex]) increases from 1. e.g. 2, 3, 4, 5 etc.Expansion is when this same value is a fraction, e.g. [tex]\frac{1}{3} ,\frac{1}{5}[/tex] etc.Vertical shift upwards is when there is a positive number added to the original function and vertical shift downwards is when there is a negative number added to the original function.Parent root function is given by:
[tex]f(x)=\sqrt[n]{x}[/tex]
According to rules,
Compression would be achieved by multiplying the [tex]x[/tex] by 5. So, we would have [tex]\sqrt[n]{5x}[/tex]Downward vertical shift would be achieved by adding a [tex]-10[/tex] to the function.So, [tex]\sqrt[n]{x}-10[/tex]Combining these 2 transformation gives us the function:
[tex]f(x)=\sqrt[n]{5x} -10[/tex]
Answer choice A is right.
Answer:
A. f(x)= n√5x-10
Sqrt 2x-1=1
(in picture)
Answer:
x=1
Step-by-step explanation:
sqrt(2x-1) =1
We will square both sides
sqrt(2x-1)^2 =1^2
2x-1 =1
Add 1 to each side
2x-1+1 = 1+1
2x=2
Divide by 2
2x/2 =2/2
x=1
What do you know to be true about the values of A and B
Answer with explanation:
There are two triangles.We will use angle sum property to get the correct Inequality.
In Triangle 1
→x° + a° + 75°=180°
→x° + a°= -75°+180°
→x° + a°= 105°
In triangle 2
→y° + b° + 60°=180°
→y°+b°=180°-60°
→y°+b°=120°
As there are four different variables ,and only two equations.So,we can't determine the value of , a and ,b.
Option D: Can't be Determined
Suppose △ABC and △DEF are similar and BC=6, EF=8, DF-AC=1. Find DF.
Answer:
Side DF = 4 units
Step-by-step explanation:
Similar triangles states that the triangles with equal corresponding angles and proportionate sides.
Given: ΔABC and ΔDEF are similar
Corresponding angles are;
[tex]\angle A = \angle D[/tex] ,
[tex]\angle B = \angle C[/tex] ,
[tex]\angle C= \angle F[/tex]
Proportionate sides are;
[tex]\frac{AB}{DE} =\frac{BC}{EF} =\frac{AC}{DF}[/tex]
It is also given BC = 6 units , EF = 8 units and DF -AC = 1
Let AC = x units then;
DF = x +1 units.
Then, by definition of similar triangle ;
[tex]\frac{BC}{EF} =\frac{AC}{DF}[/tex]
[tex]\frac{6}{8} =\frac{x}{x+1}[/tex]
By cross multiply we have;
[tex]6(x+1) = 8x[/tex]
Using distributive property; [tex]a\cdot(b+c) = a\cdot b+ a\cdot c[/tex]
6x + 6 = 8x
Subtract 6x on both sides we get;
6x + 6 -6x = 8x -6x
Simplify:
6 = 2x
Divide by 2 on both sides we get;
x = 3
DF = x +1 = 3+1 = 4
Therefore, the side DF is, 4 units
Help me please!! Algebra two!
Answer:
a. -2, odd; -1, odd; 1, odd; 2, odd
b. [tex](x+2)(x+1)(x-1)(x-2)[/tex]
c. even likely degree 4
Step-by-step explanation:
A polynomial graph has several features we look for to determine the equations.
The zeros of the function are the x-intercepts. If the x-intercepts touch but do not cross then the intercepts have an even multiplicity like 2, 4, 6, etc. If the x-intercepts cross over then they have an odd multiplicity. Degree is the exponent or multiplicity of each zero. Therefore if we know the multiplicity of each zero we can add them together to find or make an educated guess for the degree of the entire polynomial. The shape of the graph tells us what type of polynomial. Odd degrees have a backwards S shape. Even degrees have a W shape. The shape can even tell us the if the equation has a positive or negative leading coefficient. Upside down W or an M shape is negative. While a sideways S shape is negative.In this graph, there are four real zeros: -2,-1,1,2
We can write them in intercept or factored form as (x-2), (x-1), (x+1) and (x+2).
Because the graph crosses the x-axis at -2, it's multiplicity is odd likely 1. This is the same for each of the zeros or x-intercepts.
The graph a W shape and facing upwards so it has a positive leading coefficient with an even degree.
This means the function has a degree of 4 or higher with the degree being even.
The running track behind the local gym is 3/4 mile long. The track and field team ran 2 2/3 laps around the track. How many miles did the team run?
Answer:
If you round the answer it is 2 miles
Step-by-step explanation:
You multiply the fractions in fraction or decimal form
With decimal form you get 1.995, rounded up to 2
Answer:
2 miles
Step-by-step explanation:
hope this helps
HELP Can you determine the third angle measure in a triangle, if you know the other two angles?
Answer:
yes; you can just remember that all the angles on a triangle equal 180 so just add the two angles, subtract from 180 to get your last angle degrees.
Natasha is starting a house cleaning business. She purchased cleaning supplies and charged the same amount for each pool cleaned. -126 + 30x The expression represents the profit Natasha has earned from cleaning houses. How much money does she charge to clean a house? 30??
Answer:
Natasha charges $30 per house
Step-by-step explanation:
Profit = -126 + 30x
The cost of the cleaning supplies is 126
and the cost per house is 30
x = the number of houses cleaned.