Answer:
Step-by-step explanation:
y= -3x+1
you use inverse operations, and since you want the y alone, you subtract 3x on both sides, giving you y= -3x+1
MATH HELP...PLz
Use inductive reasoning to find the next term in EACH sequence.
a. -6, -2, 2, 6, 10....
b. 10, 30, 90, 270, 810...
c. 17, 15, 11, 5, -3,...
a. 14, 18, 22, 26.... It is +4
b. 2,430, 7,290, 21,870..... It is x3
c. So it is going -2, -4, -6, -8 so the next one would be -10 which is -13 then -12 which is -25 and so on.
Hope this helps!
Corey used the regression equation y = 1.505x − 88.21, where x is the temperature and y is the number of swimmers, to determine a possible outside temperature when 80 swimmers are at City Pool. 1. y = 1.505(80) − 88.21 2. y = 120.4 − 88.21 3. y = 32.19 4. If there are 80 swimmers at the pool, the temperature is likely to be 32.2°F. Analyze Corey’s work to find his error. What is Corey’s mistake?
x is the temperature and y is the number of swimmers. If there are 80 swimmers, then y = 80 instead of x = 80
This is how Corey should have solved
y = 1.505*x - 88.21
80 = 1.505*x - 88.21 <--- replace y with 80
1.505*x - 88.21 = 80
1.505*x = 80 + 88.21 <--- add 88.21 to both sides
1.505*x = 168.21
x = 168.21/1.505 <--- divide both sides by 1.505
x = 111.767
x = 111.8
If there are 80 swimmers at the pool, then the possible outside temperature is roughly 111.8 degrees F. This temperature seems awfully large, so it's possible that Corey's regression equation has limited scope; in other words, it isn't too useful if x is outside a given interval.
Answer:
If you don't want to read all of that the answer is:
A- He substituted 80 for x instead of y.
Step-by-step explanation:
I just did it on Edge 2020 and got it right...
the second time
PLEASE MARK ME BRAINLIEST!!math help will.give brainliest
Answer:
The point ( 0,-1) is a solution.
Step-by-step explanation:
y<= (x+1) (x+5)
y>= (x-1)^2 -6
See attached graph.
To prove algebraically, put the point (0,-1) into both equations and see if it is true for both of them.
y<= (x+1) (x+5)
-1 <= (0+1) (0+5)
-1<= 1*5
-1 <=5
True
y>= (x-1)^2 -6
-1 >= (-1)^2 -6
-1 >= 1-6
-1 >=-5
True
The point is a solution
15pts!
Without graphing, determine whether the system x - 3y = 11 and 2x - 6y = -5
has one solution, no solution, or infinitely many solutions.
what is the slope of the line?
-2
- 1/2
1/2
2
Answer:
-1/2
Step-by-step explanation:
Using rise/run we can go up 1 and over 2 to get to the next point. When a line is graphed going from top left down to the right, it is negative.
I hope that helps u out!!
Good luck! :)
Answer:
-1/2
Step-by-step explanation:
Grab a graphing calculator and enter the two points into STAT.
Click STAT again and then click the right arrow and then click the 4 button. press enter 4 times and then wa-la you got your answer
:)
A snail can crawl 2/3 of a yard in 1/5 of an hour,how many yards can a snail crawl in 1 hour?
Answer:
2 and 1/3
Step-by-step explanation:
1 hour = 5/5 so 2/3 + 5 = 8/3
= 2 and 2/3
Hope this helps :)
3 and 1/3
2/3 ÷ 1/5 = 10/3 = 3 and 1/3
1 hour = 1 × 3 and 1/3 = 3 and 1/3
At the end of the summer a store marks down the outdoor furniture 8% a family bought 4 chairs in June at 35$ each then 2 more chairs when they went on sale how much did all 6 chairs cost?
Answer:
$35(4) + $35(.92)(2) = $140 + $64.40 = $204.40
Please evaluate. I have no idea what to do with this one.
Answer: The first box would have the value 504, while the second box has the value 84
==========================================================
Work Shown:
nPr = (n!)/(n-r)!
9P3 = (9!)/(9-3)!
9P3 = (9*8*7*6!)/(6!)
9P3 = 9*8*7
9P3 = 504
--------
nCr = (nPr)/(r!)
9C3 = (9P3)/(3!)
9C3 = (504)/(3*2*1)
9C3 = 504/6
9C3 = 84
note: you can also use the formula nCr = (n!)/(r!*(n-r)!) to compute the combination value, which as you can probably notice, it has the nPr formula buried in it. This is what connects the two concepts of nPr and nCr. The exclamation mark means factorial.
A single card is chosen at random from a standard deck of 52 playing cards. What is the probability of choosing a card that is not a ace?
A. 1/13
B. 2/13
C. 4/13
D. 12/13
Answer:
d
Step-by-step explanation:
There are 4 cards in a standard deck. So 52-4 is 48. 48 cards are not aces then. So the ratio is 48 to 52. Which simplifies to 12 to 13. Otherwise known as 12/13
evaluate the expression
6+4 divided 2 - 3 X2
Answer:
2
Step-by-step explanation:
PEMDAS is the order of operations.
There are no parenthesis, so we can ignore that.
Same with exponents, there arent any in this equation.
MD means you have to multiply or divide before you add or subtract. Wether you multiply or divide first depends on which comes first left to right. So, we divide 4 by 2, which is 2
Our present equation is 6+2-3x2
Now, we multiply 3 by 2.
Our present equation is now 6+2-6
Now, we simply add and subtract, depending on which comes first left to right. Add 6 and 2.
8-6
Now subtract.
Our answer is 2.
Hope this helps! (Please give brainliest I just need one more!)
A shark can chase prey at about 30 miles per hour. What is the rate in miles per minute?
PLEASE HELP ME! THIS IS UNIT RATES AND I SUCK AT IT.
Answer:
Step-by-step explanation:
by using unitary method, we will convert miles per hour into miles per minute in 60 minutes the shark can chase the prey 30 milesIn 1 minute the shark can chase Hence the shark can chase the prey about 0.5 miles per minute.
The table shows the number of boys and girls that have black, blonde, brown, or red hair color. What portion of the girls have brown hair? (round to nearest hundredth) A) 0.20 B) 0.22 C) 0.40 D) 0.44
Answer:
a
Step-by-step explanation:
i just took this
How to write into an equation
[tex]\bf \stackrel{\textit{sum of 22 and \underline{g}ail's height}}{22+g}~~\stackrel{is}{=}~~74\implies 22+g=74[/tex]
A biologist is studying a certain type of algae. She starts with only 1 algae bloom and observes that the number of algae blooms triples every hour. Which equation can be used to find the number of hours, h, it will take for the population to reach 6,561 algae blooms?
Table:
# of hours || algae blooms
0 1
1 3
2 9
3 27
Answer:
6,561 = 3h
Step-by-step explanation:
The equation B) [tex]\( 6,561 = 3^h \)[/tex] determines the number of hours, c[tex]\( h \)[/tex], for the algae population to reach 6,561 blooms.
1. Identify the exponential growth formula:
[tex]\[ N = N_0 \cdot r^h \][/tex]
2. Define the given variables:
[tex]- \( N \):[/tex] Final number of algae blooms = 6,561
[tex]- \( N_0 \):[/tex] Initial number of algae blooms = 1
[tex]- \( r \):[/tex] Growth rate = 3 (since the population triples every hour)
[tex]- \( h \)[/tex]: Number of hours (this is what we need to find)
3. Substitute the given values into the formula:
[tex]\[ 6,561 = 1 \cdot 3^h \][/tex]
4. Simplify the equation:
[tex]\[ 6,561 = 3^h \][/tex]
5. Result:
The equation B) [tex]\( 6,561 = 3^h \)[/tex] can be used to determine the number of hours, [tex]\( h \)[/tex], it will take for the algae population to reach 6,561 blooms.
Complete Question:
64% of the animals at an animal shelter are dogs. About what fraction of the animals at the shelter are dogs?
Which two tables represent the same function?
x y
4 8
6 7
x y
4 5
6 4
x y
2 8
8 5
x y
2 10
6 14
x y
2 9
8 6
Answer:
The 1st and the 5th tables represent the same function
Step-by-step explanation:
* Lets explain how to solve the problem
- There are five tables of functions, two of them are equal
- To find the two equal function lets find their equations
- The form of the equation of a line whose endpoints are (x1 , y1) and
(x2 , y2) is [tex]\frac{y-y_{1}}{x-x_{1}}=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}[/tex]
* Lets make the equation of each table
# (x1 , y1) = (4 , 8) and (x2 , y2) = (6 , 7)
∵ x1 = 4 , x2 = 6 and y1 = 8 , y2 = 7
∴ [tex]\frac{y-8}{x-4}=\frac{7-8}{6-4}[/tex]
∴ [tex]\frac{y-8}{x-4}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 8) = -1(x - 4) ⇒ simplify
∴ 2y - 16 = -x + 4 ⇒ add x and 16 for two sides
∴ x + 2y = 20 ⇒ (1)
# (x1 , y1) = (4 , 5) and (x2 , y2) = (6 , 4)
∵ x1 = 4 , x2 = 6 and y1 = 5 , y2 = 4
∴ [tex]\frac{y-5}{x-4}=\frac{4-5}{6-4}[/tex]
∴ [tex]\frac{y-5}{x-4}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 5) = -1(x - 4) ⇒ simplify
∴ 2y - 10 = -x + 4 ⇒ add x and 10 for two sides
∴ x + 2y = 14 ⇒ (2)
# (x1 , y1) = (2 , 8) and (x2 , y2) = (8 , 5)
∵ x1 = 2 , x2 = 8 and y1 = 8 , y2 = 5
∴ [tex]\frac{y-8}{x-2}=\frac{5-8}{8-2}[/tex]
∴ [tex]\frac{y-8}{x-2}=\frac{-3}{6}=====\frac{y-8}{x-2}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 8) = -1(x - 2) ⇒ simplify
∴ 2y - 16 = -x + 2 ⇒ add x and 16 for two sides
∴ x + 2y = 18 ⇒ (3)
# (x1 , y1) = (2 , 10) and (x2 , y2) = (6 , 14)
∵ x1 = 2 , x2 = 6 and y1 = 10 , y2 = 14
∴ [tex]\frac{y-10}{x-2}=\frac{14-10}{6-2}[/tex]
∴ [tex]\frac{y-10}{x-2}=\frac{4}{4}======\frac{y-10}{x-2}=1[/tex]
- By using cross multiplication
∴ (y - 10) = (x - 2)
∴ y - 10 = x - 2 ⇒ add 2 and subtract y in the two sides
∴ -8 = x - y ⇒ switch the two sides
∴ x - y = -8 ⇒ (4)
# (x1 , y1) = (2 , 9) and (x2 , y2) = (8 , 6)
∵ x1 = 2 , x2 = 8 and y1 = 9 , y2 = 6
∴ [tex]\frac{y-9}{x-2}=\frac{6-9}{8-2}[/tex]
∴ [tex]\frac{y-9}{x-2}=\frac{-3}{6}======\frac{y-9}{x-2}=\frac{-1}{2}[/tex]
- By using cross multiplication
∴ 2(y - 9) = -1(x - 2) ⇒ simplify
∴ 2y - 18 = -x + 2 ⇒ add x and 18 for two sides
∴ x + 2y = 20 ⇒ (5)
- Equations (1) and (5) are the same
∴ The 1st and the 5th tables represent the same function
Answer:The 1st and the 5th tables represent the same function!!!!!!!
ILL GIVE BRAINLIEST PLEASE HELP MEEE
An elephant weighs 1.1 × pounds. A giraffe weighs 2.1 × pounds. How much more does the elephant weigh than the giraffe? A. 1.0 × pounds B. 8.9 × pounds C. 1.0 × pounds D. 8.9 × pounds
Answer: B
Step-by-step explanation:
1) First find the weight of the elephant: 1.1 * 10^4 = 11,000
2) Then find the weight of the giraffe: 2.1 * 10^3 = 2,100
3) Then subtract the weight of the giraffe from the weight of the elephant
11,000 - 2,100 = 8,900
4) And there is your answer 8.9 * 10^3 = 8,900
It is found that elephant weighs 9,000 more lb than the giraffe.
What is an expression?Expression in maths is defined as the collection of numbers variables and functions by using signs like addition, subtraction, multiplication, and division.
The Numbers constants, variables, operations, functions, brackets, punctuation, and grouping can all be represented by mathematical symbol; which can also be used to indicate the logical syntax's order of operations and other features.
Given that an elephant weighs 1.1 x 10⁴ and a giraffe weighs 2.1 x 10³. The weight will be estimated as below;
1.1 x 10⁴ = 11000 lb
2.1 x 10³ = 2100 lb
The difference in the weight of an elephant and the Giraffe ;
D = 11000 -2100= 9000 lb
Hence, an elephant weighs 9,000 more lb than the giraffe.
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An isosceles triangle has angle measures of 50, 50, and 80. The side across from the 80 angle is 10 inches long. How long are the other sides
Answer:
I believe it would be 7.8
Step-by-step explanation:
Answer:
7.78 (apex) :)
Step-by-step explanation:
What is the solution to 4x+5=34
Answer:
x = 7.25
Step-by-step explanation:
First you must try to get the x by itself with the 4, so, you have to subtract 5 from both sides so that the five is no longer on the side of the variable. Once you do this the equation becomes 4x = 29. Then you have to get x by itself so you then have to divide the 4 on both sides and the answer it then x = 7.25
Compare |−1.37| and |1.21|.
A) |−1.37| > |1.21|
B) |−1.37| < |1.21|
C) |−1.37| = |1.21|
D) |−1.37| ≤ |1.21|
The symbol '|' denotes absolute value, which measures the distance of a number from zero. Therefore, |-1.37| equals 1.37 and |1.21| equals 1.21. Since 1.37 is greater than 1.21, the absolute value of -1.37 is greater than 1.21.
Explanation:In mathematics, the symbol '|' denotes absolute value. The absolute value of a number measures its distance from zero, ignoring whether it is positive or negative. Hence, |-1.37| and |1.21| mean how far away -1.37 and 1.21 are from zero on the number line, respectively.
|-1.37| equals 1.37 and |1.21| equals 1.21. So, 1.37 is greater than 1.21. This means that A) |-1.37| > |1.21| is the correct option. In other words, the absolute value of -1.37 is greater than the absolute value of 1.21.
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If I have a 68.70 in the grade book and I get a 56/100 on a test that’s worth 20% of my grade what will my grade be now?
Answer:
Step-by-step explanation: Your answer will be 79.9. To get the answer you multiply 56 and 0.2 to get 11.2.Then you add 11.2+68.70 which gives you 79.9. Hope this help ya!☺
You purchased 132.49 dollars worth of wheels and bearings for your skateboards. The shop charges 15 dollars per board to install them. The total cost is 192.49 dollars. How many skateboards will be repaired?
Answer:
Four
Step-by-step explanatio
Materials + installation = $192.49
-Materials = 132.49
Installation = $ 60.00
Installation cost = 1 skateboard/$15
No. of skateboards = 60.00 × 1/15
No. of skateboards = 4
Four skateboards will be repaired.
In a parallelogram MNOP, PK=5x and KN =x(squared) -14
What is PN
Answer:
PN = 70
Step-by-step explanation:
using the property that the diagonals bisect each other, then
PK = PN
5x = x² - 14 ( rearrange into standard form )
x² - 5x - 14 = 0 ← in standard form
(x - 7)(x + 2) = 0 ← in factored form
equate each factor to zero and solve for x
x - 7 = 0 ⇒ x = 7
x + 2 = 0 ⇒ x = - 2
but x > 0 ⇒ x = 7
PN = PK + KN = 5x + x² - 14 = (5 × 7) + 7² - 14 = 35 + 49 - 14 = 70
Jackson has n autographs in his autograph book. Yesterday he got 3 more autographs. Write an expression to show how many autographs are in his book now.
Final answer:
The expression for the total number of autographs Jackson has after getting 3 more is 'n + 3', where 'n' represents the original number of autographs.
Explanation:
Jackson currently has n autographs in his autograph book. Since he obtained 3 more autographs yesterday, we can express the total number of autographs he now has by creating a simple algebraic expression. You add the number of new autographs to his original count. The expression that represents the total number of autographs in Jackson's book now is n + 3.
What is the value of x?
x = 2.25
x = 11.25
x = 13
x = 22
Answer:
x=22
Step-by-step explanation:
The exterior angle is the sum of the 2 opposite interior angles of a triangle
6x+1 = 79+2x+10
Combine like terms
6x+1 = 89+2x
Subtract 2x from each side
6x-2x+1= 2x-2x+89
4x+1 = 89
Subtract 1 from each side
4x+1-1 =89-1
4x = 88
Divide by 4
4x/4 = 88/4
x =22
3/7 = x/42
Fill in the blank to make the two fractions equivalent.
Answer:
x = 18
Step-by-step explanation:
multiplying the denominator of 7 by 6 gives 42, the denominator of the fraction on the right side.
Since the fractions are equal we must then multiply the numerator of the fraction on the left by 6
3 × 6 = 18 ⇒ x = 18
. Points A (-1,y) and B(5,7) lie on a circle with centre O(2, -3y). Find the values of y. Hence find the radius of the circle
Answer: y = 7, y = -1
Step-by-step explanation:
Since both A and B lie on the circle, their distances to the origin is the radius which will be equal.
[tex]d_{AO}=\sqrt{(-1-2)^2+(y + 3y)^2}\\d_{BO}=\sqrt{(5 - 2)^2+(7 + 3y)^2} \\\qquad \qquad \qquad \qquad d_{AO} = d_{BO}\\\sqrt{(-1-2)^2+(y + 3y)^2}=\sqrt{(5 - 2)^2+(7 + 3y)^2}\\\sqrt{(-3)^2+(4y)^2}=\sqrt{(3)^2+(7 + 3y)^2}\\\sqrt{9+16y^2}=\sqrt{9+(49+42y+9y^2)}\\\sqrt{9+16y^2}=\sqrt{58+42y+9y^2}\\(\sqrt{9+16y^2})^2=(\sqrt{58+42y+9y^2})^2\\\\9+16y^2=58+42y+9y^2\\7(y^2-6y-7)=0\\7(y - 7)(y + 1)=0\\y - 7 = 0 \qquad\text{and}\qquad y + 1 = 0\\\quad y = 7 \qquad \text{and}\qquad y = -1[/tex]
Margaret goes to the county fair with $35. Rides cost $3 each. Write an equation that gives the amount of money m that Margaret has as a function of the number of rides r that she takes.
Answer:
11.
Step-by-step explanation:
I got the answer of 11, as I:
-First, I worked out how many rides Margaret would be able to go on, so I did $35 -/- $3, which was a decimal, but the most amount of times would be 11 rides that she could go on, therefore, that's the amount of rides she would take, and have $2 left over.
Hope this helps!
--Emilie Xx
Answer:
3r = 35
Step-by-step explanation:
Margaret goes to the country fair with $35.00
Each rides cost at the fair = $3.00
Let she can take number of rides = r
The cost of rides = 3r
She has $35 so the equation will be
3r = 35
r = [tex]\frac{35}{3}[/tex]
r = [tex]11\frac{2}{3}[/tex]
Therefore she can take 11 rides. She spent on 11 rides 11 × 3 = $33.00
So she has left $2.00 with her.
Farmers often plant crops in circular areas because one if the most efficient watering systems for crops provides water in a circular area. Passengers takes an aerial photo of a field on which a circular crop area has been planted. He prints the photo out and notes that 2 centimeters of length in the photo corresponds to 100 meters in actual height.
1. What is the scale factor of the actual farm to the photo?
(A.) 1 to 50
(B.) 1 to 98
(C.) 1 to 56
(D.) 1 to 65
Answer:
A
Step-by-step explanation: Scale Factor is defined as a ratio between the actual figure to that of the other figure.
And as it is clearly given in the question that 2 cm of length corresponds to 100 meters so the ratio comes out to be 1:50.
So the scale factor of the actual farm to the photo is A that is 1 to 50.
The scale factor of the actual farm to the photo is 1 to 50.
To determine the scale factor of the actual farm to the photo, we can use the given information that 2 centimeters in the photo corresponds to 100 meters in actual height. Since the scale factor relates the lengths in the photo to the actual heights, we need to find the ratio of the length in the photo to the corresponding actual height. In this case, the scale factor is 2 centimeters / 100 meters, which simplifies to 1 centimeter / 50 meters. Therefore, the scale factor of the actual farm to the photo is 1 to 50.
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Solve -3n + 4 ≥ -8.
n ≥ 4
n ≤ 4
n ≥ -4
n ≤ -4
Answer:
n ≤ 4
Step-by-step explanation:
-3n + 4 ≥ -8.
Subtract 4 from each side
-3n + 4-4 ≥ -8-4
-3n ≥ -12
Divide by -3 on each side, remembering to flip the inequality
-3n/-3 ≤ -12/-3
n≤4
-3n + 4 ≥ -8 Subtract 4 on both sides
-3n + 4 - 4 ≥ - 8 - 4
-3n ≥ - 12 Divide -3 on both sides to get "n" by itself
n ≤ 4 (when you multiply or divide a negative number on both sides of the inequality, you flip the sign(< > ≤ ≥))
The 2nd option is your answer