Answers
The range of a function is the set of y-values the function contains. Thus, in this case, the range would be the set of values under the y column, as this represents the y-values the function produces.
We see "2, 3, 4, 2" under the y column. Since we are establishing a set of values, we are going include all the values under the column, which includes 2, 3, and 4. We are not going to repeat the second 2 because it isn't necessary, as 2 is already in the set thus.
Thus, the final set for the range of the function is {2, 3, 4}, or Choice A.
Related Questions
given ef intersects gh at point D and ef is perpendicular to gh, what is the measure of hdf
Answers
Below is an image of what you have described. Since EF intersects GH perpendicularly - all resulting angles will be 90° by the definition of intersection of perpendicular lines.
This is to say that, Angle GDE, GDF, HDF, and HDE are all 90° angles.
Points M, N, and P are respectively the midpoints of sides AC , BC , and AB of △ABC. Prove that the area of △MNP is on fourth of the area of △ABC.
Answers
Answer:
The area of △MNP is one fourth of the area of △ABC.
Step-by-step explanation:
It is given that the points M, N, and P are the midpoints of sides AC, BC and AB respectively. It means AC, BC and AB are median of the triangle ABC.
Median divides the area of a triangle in two equal parts.
Since the points M, N, and P are the midpoints of sides AC, BC and AB respectively, therefore MN, NP and MP are midsegments of the triangle.
Midsegments are the line segment which are connecting the midpoints of tro sides and parallel to third side. According to midpoint theorem the length of midsegment is half of length of third side.
Since MN, NP and MP are midsegments of the triangle, therefore the length of these sides are half of AB, AC and BC respectively. In triangle ABC and MNP corresponding side are proportional.
[tex]\triangle ABC \sim \triangle NMP[/tex]
[tex]MP\parallel BC[/tex]
[tex]MP=\frac{BC}{2}[/tex]
By the property of similar triangles,
[tex]\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{PM^2}{BC^2}[/tex]
[tex]\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{(\frac{BC}{2})^2}{BC^2}[/tex]
[tex]\frac{\text{Area of }\triangle MNP}{\text{Area of }\triangle ABC}=\frac{1}{4}[/tex]
Hence proved.
The area of triangle MNP is one-fourth that of triangle ABC, because M, N, and P are midpoints leading to the smaller triangle being similar to the larger, and thus their area ratio due to the proportional side lengths is 1:4.
Explanation:In Mathematics, proving that the area of △MNP is a fourth of that of △ABC involves the concept of similar triangles and their properties. We know that M, N, and P are the midpoints of BC, AC, and AB. Due to this, triangle MNP is similar to triangle ABC as per the Midpoint theorem. The ratio of the areas of two similar triangles is equal to the square of the ratio of their corresponding sides. In this case, the ratio of the sides would be 1:2 (since M, N, P are midpoints).
Therefore, the ratio of their areas (△MNP:△ABC) would be (1⁄2)², which is 1/4. Hence, the area of △MNP is one-fourth of the area of △ABC.
This clearly demonstrates that the area of the smaller triangle formed by the midpoints of a larger triangle equates to a fourth of the total area of the initial triangle.
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Daisy wants to buy a car battery that has a full price of $85 plus a 6% sales tax, which is the better offer, a 20%-off sale or a $15 coupon?
Answers
Answer: 20% off sale because Daisey will have to pay a total of 72
Step-by-step explanation:
Which of the functions below could have created this graph?
Answers
Answer:
The answer is C
Step-by-step explanation:
The correct option is A. (F(x)=-x^{7}+4x^{3}-2x^{2}). This function matches all the key properties observed in the graph.
Sure, I've analyzed the image you sent and I can help you determine the correct option.
Based on the graph, we can see that it has the following properties:
It has three turning points, one minimum point and two maximum points.
The end behavior as x approaches positive or negative infinity is that the function increases without bound.
It intersects the x-axis three times.
Let's analyze the answer choices based on these observations:
Option A: (F(x)=-x^{7}+4x^{3}-2x^{2})This function has an odd leading term, which aligns with the increasing end behavior.
It has three factors, matching the number of x-intercepts.
By graphing this function, we can see that it matches the shape of the given graph with a minimum point followed by two maximum points.
Option B: (F(x)=x^{8}+4x^{4}+20x^{2})This function has an even leading term, which does not align with the increasing end behavior.
Even though it has four factors, it intersects the x-axis only twice.
Option C: (F(x)=x^{9}+12x^{8}+x^{7})This function has an odd leading term, which aligns with the increasing end behavior.
However, it only has two factors, not matching the three x-intercepts of the graph.
Option D: (F(x)=-x^{6}+x^{3}-x^{2})This function has an even leading term, which does not align with the increasing end behavior.
It also only has two factors, not matching the three x-intercepts of the graph.
8640 divided by40 long division
Answers
https://photomath.net/s/YLLqQX
if the bases of an isosceles trapezoid have lengths of 13 and 26 what is the length of the median
Answers
Answer: the answer is C . 19.5 units - APEX :D
Answer:
Answer is 19.5 units
Step-by-step explanation:
Given that there is a trapezoid.
Its bases are 13 and 26 respectively.
Non parallel sides are congruent
To find the median that is the length of line connecting the midpoints of the non parallel sides
If we draw any one diagonal we see that median is the line connecting the mid point of two triangles with the parallel sides as bases
Hence length of median= 1/2 (base 1+base 2)
(By triangle mid point theorem)
= 1/2 (13+26)
=19.5 units
-2|3-2r|<-34 how do you solve this?
Answers
[tex]|a|<b\iff a< b\ and\ a > -b\\\\|a|>b\iff a>b\ or\ a<-b[/tex]
[tex]-2|3-2r|<-34\qquad\text{change the signs}\\\\2|3-2r|>34\qquad\text{divide both sides by 2}\\\\|3-2r|>17\iff3-2r>17\ or\ 3-2r<-17\qquad\text{subtract 3 from both sides}\\\\-2r>14\ or\ -2r<-20\qquad\text{change the signs}\\\\2r<-14\ or\ 2r>20\qquad\text{divide both sides by 2}\\\\\boxeD{r<-7\ or\ r>10}[/tex]
Which point represents the origin? A.point k B.point m C. point w D.point j
Answers
Answer:
Where is the diagram
Step-by-step explanation:
the temperature fell from o degrees to 6 3/5 degrees below 0 in 2 1/5 hours. what was the temperature change per hour?
Answers
Answer:
The temperature change per hour was -3 degrees per hour.
Step-by-step explanation:
We know that the temperature fell from [tex]0[/tex] degrees to [tex]-6\frac{3}{5}[/tex] degrees in a time period of [tex]2\frac{1}{5}[/tex] hours.
So to find the rate of change of the temperature, we will divide the change in temperature by the number of hours.
For that, we will change the mixed number into improper fractions and then solve:
[tex]-6\frac{3}{5}=-\frac{33}{5}degrees[/tex]
[tex]2\frac{1}{5}=\frac{11}{5} hours[/tex]
Temperature change per hour = [tex]\frac{-\frac{33}{5}}{\frac{11}{5}} = \frac{33}{5}*-\frac{5}{11}=-3[/tex]
Therefore, the temperature change per hour was -3 degrees per hour.
Find the correct answer and solve?
|y-9|=6
Answers
The solutions to the absolute value equation |y-9|=6 are y= 15 and y= 3. These values make the original equation true.
Explanation:The mathematical question asked is: |y-9|=6. This represents an absolute value equation. In an absolute value equation, the quantity inside the absolute value brackets can either equal the positive or negative value on the other side of the equation. Therefore, you can create two separate equations out of this original equation: y-9 = 6 and y-9 = -6. Solving for y in these equations will give you the answers: y = 15 and y = 3.
So, the solutions to the absolute value equation are y = 15 and y = 3. These results mean that if y equals either 15 or 3, the original equation will hold true.
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The absolute value equation |y-9|=6 has two solutions: y= 15 and y= 3. The original equation is true with these values.
The |y-9|=6 is the mathematical question. This is an absolute value equation. The quantity inside the absolute value brackets in an absolute value equation can either equal the positive or negative value on the other side of the equation. As a result, you can deduce two independent equations from this original one: y-9 = 6 and y-9 = -6. Solving for y in these equations yields the following results: y = 15 and y = 3.
As a result, the absolute value equation answers are y = 15 and y = 3. These findings imply that the original equation will be true whether y equals either 15 or 3.
76-42+65/2. ONLY ANSWER IF YOU KNOW IT FOR SURE.
Answers
Answer:
49.5
Step-by-step explanation:
76-42+65 is 99, the you divide by 2, and that is 49.5
Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g).
Write an equation in the form of d=rg that represents the relationship between distance (d) and the number of gallons of gas (g), where r is the constant of proportionality.
Answers
Answer:
[tex]d =30g[/tex]
Step-by-step explanation:
Sam drives his car at a constant speed. He travels a distance (d) of 15 miles with 1/2 of a gallon of gas (g)
Distance d= 15
Gallons of gas (g)= 1/2
Equation is d= rg
Now plug in the values
15 = r* 1/2
Now we divide by 1/2 on both sides
[tex]r=\frac{15}{\frac{1}{2}}=15 * \frac{2}{1}= 30[/tex]
r=30
Now we replace the value of 'r' in the equation d=rg
[tex]d = 30g[/tex]
Write an expression to represent: Four minus the product of one and a number x.
Answers
Answer:
4 - x
Step-by-step explanation:
product means multiply
the product of 1 and x = 1 × x = x
This is then subtracted ( minus ) from 4 giving
4 - x ← expression representing the situation
Answer:
2*4-6
Step-by-step explanation:
What is the equation of a line with a slope of 3 and a point (3, 1) on the line?
Express the equation in the form of y=mx+b where m is the slope and b is the y-intercept.
Enter your answer in the box.
Answers
Answer:
The equation of the line would be y = 3x - 8
Step-by-step explanation:
To find any equation when you have the slope and a point, start with point-slope form and then solve for y.
y - y1 = m(x - x1)
y - 1 = 3(x - 3)
y - 1 = 3x - 9
y = 3x - 8
The following is an incomplete paragraph proving that the opposite sides of parallelogram ABCD are congruent:
Parallelogram ABCD is shown where segment AB is parallel to segment DC and segment BC is parallel to segment AD.
According to the given information, segment AB is parallel to segment DC and segment BC is parallel to segment AD.. Construct diagonal A C with a straightedge. It is congruent to itself by the Reflexive Property of Equality. Angles BAC and DCA are congruent by the Alternate Interior Angles Theorem. Angles BCA and DAC are congruent by the same theorem. __________. By CPCTC, opposite sides AB and CD, as well as sides BC and DA, are congruent.
Which sentence accurately completes the proof?
Triangles BCA and DAC are congruent according to the Angle-Angle-Side (AAS) Theorem.
Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.
Angles ABC and CDA are congruent according to a property of parallelograms (opposite angles congruent).
Angles BAD and ADC, as well as angles DCB and CBA, are supplementary by the Same-Side Interior Angles Theorem.
Answers
Answer: Triangles BCA and DAC are congruent according to the Angle-Side-Angle (ASA) Theorem.
Step-by-step explanation:
Given : ABCD is a parallelogram.
That is, AB ║ CD and AD ║BC
We have to prove that: AB≅CD and AD≅BC
Proof:
Construct diagonal AC in the parallelogram ABCD.
Since, AC ≅ AC ( reflexive)
∠ BAC ≅ ∠ DCA ( By the alternative interior angle theorem)
∠ BCA ≅ ∠ DAC ( By the alternative interior angle theorem)
⇒ Δ BCA ≅ Δ DAC ( By ASA congruence postulate )
⇒ AB≅CD as well as AD≅BC ( BY CPCTC )
Thus, the opposite side of the parallelogram are congruent.
Diagonal AC is congruent to itself by the Reflexive Property of Equality.
What is the best estimate of 28 × 4,417?
Answers
Answer:
132600
Step-by-step explanation:
I was always taught like this, and this should be the best estimate:
28 x 4417 --> 30 * 4420 --> 132600
Some other possible estimates with simpler values:
30 * 4400 --> 132000
30 * 4500 --> 135000
30 * 4000 --> 120000
The recipe for mint chocolate ice cream requires 2 1/4 cups of cream for 5 people. You need ice cream for 15 people. How much cream will you need?
Answers
Answer:
Step-by-step explanation:
i know it'
convert 2 1/4 into improper fraction or do it as same as it is
So, this is ratio and proportion. so, multiply 2 1/4 or 2.25 to 8 and divide it to 5. so, the answer is 3.6 or 3 3/5.
Is 3pi/2pi a rational number or an irrational number? Explain your reasoning
Answers
Answer:
It is rational
Step-by-step explanation:
The pi terms cancel out when you divide. This is due to the rule x/x = 1 where x is any number you want except x cannot be zero. So replace x with pi and we have pi/pi = 1
Therefore,
(3pi)/(2pi) = (3/2)*(pi/pi)
(3pi)/(2pi) = (3/2)*1 .... use the rule mentioned above
(3pi)/(2pi) = 3/2
we get a fraction or a ratio of two whole numbers, so this proves that the given expression is rational.
What’s 1.28 round to the nearest tenth
Answers
Answer:
I.3 is the answer
Answer:
It would be 1.30
Step-by-step explanation: It would be 1.3 because to round up it has to be over 5 and to round down it has to be under 5. So in this case it is 28 and 8 is over 5, so you would round to the nearest tenth which would be 1.30.
What is the slip of a line that is parallel to the line (0,3) (3,2)
Answers
Answer:
The slope is -1/3
Step-by-step explanation:
We can find the slope of a line using the formula
m = (y2-y1)/(x2-x1)
= (2-3)/(3-0)
= (-1/3)
=-1/3
Answer:
m= -1/3
Step-by-step explanation:
Slope is determined from the formula:
y2-y1/x2-x1
Input the corresponding numbers in the formula.
2-3/3-0
-1/3
m= -1/3
Translate the sentence into an equation. Five more than the quotient of a number and 7 is equal to 8 . Use the variable c for the unknown number .
Answers
Answer:
c ÷ 7 + 5 = 8
Step-by-step explanation:
The Translate the sentence into an equation is c/7 +5 =8.
What is Algebraic expression ?
Algebraic expressions are the idea of expressing numbers using letters or alphabets without specifying their actual values. The basics of algebra taught us how to express an unknown value using letters such as x, y, z, etc. These letters are called here as variables. An algebraic expression can be a combination of both variables and constants. Any value that is placed before and multiplied by a variable is a coefficient.
given variable is given as c therefore, the translation of the given equation Five more than the quotient of a number and 7 is equal to 8 will be :
c/7 +5 =8
Therefore, the Translate the sentence into an equation is c/7 +5 =8.
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Below are two different function f(x) and g(x) what can be determined about their slopes? Need this answer ASAP plzzzz!!!
Answers
D) The function g(x) has a larger slope
The change between any two y-coordinates in g(x) is greater than any change in the y-coordinates in f(x)
A chef bought 5 1/5 liters of oil for $26. What was the cost per liter of oil
Answers
Answer:5
Step-by-step explanation:
Answer:
$ 5.25 per liter
Step-by-step explanation:
Passes through (-1, 10) slope = -6
Answers
Point slope form?
Y- 10 = -6 ( X + 1 )
PLEASE HELP ME: if the equation of the regression line for the data set (3,6),(6,2),(9,10) is y=2/3x+2, what is the SSE for the data set?
Answers
(6,2)
6-2=4
3-6=-3
Slope:-4/3
y=mx+b
6=-4/3(3)+b. <use one of the set's and the...
-4 -4 < inverse
2=b
Y-int = 2
x y
Answer: (-4/3, 2)
The SSE for the data set is: 24
Step-by-step explanation:The data points are given by:
(3,6),(6,2),(9,10)
The data points are as follows:
when x=3 y=6
when x=6 y=2
and when x=9 y=10
Also, the line of best fit is as follows:
[tex]y=\dfrac{2}{3}x+2[/tex]
The SSE( sum of square for error ) is calculated as follows:
Firstly we find the y-values from the line of best fit corresponding to x-values as in the data points.Now we find the residual corresponding to each x.( i.e. difference between the actual y-value and y-value on the line of best fit)Square this difference quantities and add them up to get SSE of the data set.The y-values from the line of best fitwhen x=3
from the line of best fit we have: y=4
when x=6
then y=6
when x=9
then y=8
Hence, the residual value is:when x=3 6-4= -2
when x=6 2-6= -4
and when x=9 10-8=2
Hence, the square of these difference quantity is:
(-2)²=4
(-4)²=16
and (2)²=4
Hence, the sum of these square quantity is: 4+16+4=24
Hence, the SSE of data is: 24
what is 2fifth times 6seventh
Answers
Answer:
12/35
Step-by-step explanation:
"2fifth" = 2/5
"6seventh" = 6/7
"times" = *
Multiply across:
(2/5) * (6/7) = 12/35
12/35 is your answer
~
Answer:
12/35
Step-by-step explanation:
2/5 times 6/7
First multiply the numerators.
2 x 6 = 12
Then multiply the denominators.
5 x 7 = 35
Your answer is 12/35
Dan made 3 trips to visit his grandmother. He drove a total of 71.10 miles. How many miles did Dan drive on each trip?
Answers
Answer:
Dan drove 23.7 miles each trip.
Step-by-step explanation:
If he drove a total of 71.10 miles in three trips and you are trying to find how many miles he drove each trip then you would divide the total miles by the number of trips. You would do, 71.10/3 which is equal to 23.7, which is your answer.
Hope this helps!
Assessment items Veena ate lunch at a deli. She ordered a turkey sandwich for $9.25 and a salad for $4.35. The tax was 7.5%. What is the amount of tax for Veena's meal?
I can't remember how to add tax! Please help me! First correct answer gets Brainleist!
Answers
Answer:
$1.02
Step-by-step explanation:
9.25+4.35=13.60
13.60X0.075=1.02
Tax= 1.02
Answer:
$1.02
Step-by-step explanation:
$9.25+$4.35=$13.60
7.5----0.075
$13.60 times 0.075
$1.02
To add tax you take the decimal and move it to the left 2 times,
example: 6%---- .06
you then would multiply .06 by the price to get the price of the tax.
If P(A)=0.50, P()=0.40, and P(AuB)=0.15
a=0.55
b=0.65
c=0.90
d=0.75
Answers
Answer:
P(A ∩ B) = 0.75 (option d)
Step-by-step explanation:
P(A)=0.50
P(B)=0.40
P(A U B)=0.15
P(A ∩ B)=?
P(A U B)=P(A)+P(B)-P(A ∩ B)
Replacing the given values:
0.15=0.50+0.40-P(A ∩ B)
Adding like terms:
0.15=0.90-P(A ∩ B)
Solving for P(A ∩ B):
Subtracting 0.90 both sides of the equation:
0.15-0.90=0.90-P(A ∩ B)-0.90
Subtracting:
-0.75 = -P(A ∩ B)
Multiplying both sides of the equation by -1:
(-1)(-0.75) = (-1) ( -P(A ∩ B) )
0.75 = P(A ∩ B)
P(A ∩ B) = 0.75
Answer:
d=0.75
Step-by-step explanation:
Please help with this question
Answers
Answer:
The answer is y=1.4x
Step-by-step explanation:
You have to find the change of y over the change of x. So you have to find how much each value is changing by.
Y-side
5.6-2.8= 2.8
8.4-5.6=2.8
11.2-8.4=2.8
X-side
4-2=2
6-4=2
8-6=2
If you divide 2.8 by 2 you get 1.4
So the slope is 1.4