Mathematics High School

For the function f(x) = x2, what effect will multiplying f(x) by 1/2 have on the graph?

Answers

Answer 1
For this case we have the following function:
 f (x) = x2
 We apply the following transformation:
 Vertical expansions and compressions:
 To graph y = a * f (x)
 If 0 <a <1, the graph of y = f (x) is compressed vertically by a factor a. (Shrinks)
 We have then:
 f (x) = (1/2) * x2
 Answer:
 is compressed vertically by a factor 1/2

Related Questions

Which answer choice below correctly identifies the 202nd term in the sequence 5, 10, 15, 20, 25 …?

Answers

The 202nd term in the sequence is 1010.

Answer:

answer is : A. 1010

Step-by-step explanation:

The Venn diagram represents the results of a survey that asked participants whether they would want a dog or a cat as a pet.

Enter your answers in the boxes to complete the two way table based on the given data.

Dog Not dog Total

Cat ___ ___ ____

Not
Cat ___ ____ ____

Total ___ ____ ____

Answers

 Arrange the numbers shown on the diagram into the correct category:                

                      Dog                Not dog                 Total  

Cat                     31                      10                      41

Not  Cat              24                     7                       31    

Total                    55                   17                       72

Must have third quartile of a data set be less than the maximum value? Explain.

Answers

Since there is an even number of values, we need the mean of the middle two values to find the first quartile:                                                                                                                                                                                                  The lower half of a data set is the set of all values that are to the left of the median valuewhen the data has been put into increasing order. 


What is the answer to 5+14a=9a−5

Answers

5 + 14a = 9a - 5
+5                 +5
10 + 14a = 9a
       -14a    -14a
10 = -5a
----   -----
-5      -5

answer: a = -2

The width of a rectangle is 4 less than half the length. if l represents the length, which equation could be used to find the width, w?

Answers

W-4=1/2L
W=1/2L+4
This is the answer

What do you call it when someone pays back a loan quickly

Answers

Hello!
If someone pays back a loan quickly its called a sudden debt payoff.
Hope this helps!
This question is actually a joke, because there is no specific name for when someone pays off a lean quickly. I have came across a few worksheets with this same question on it, so the answer is below. 

ANSWER: "A Sudden Debt Pay Off"

john buys a new bedroom set on credit for $2760 and no interest. he pays $115 per month. what is the equation that models the money john owes?

Answers

Suppose that the equation is modeled by a linear equation:
let the amount owed by John, is y at time time,x.
the linear equation is given by:
y=mx+c
where:
m=slope
c=y-intercept
from the information:
c=$2760
m=$115
thus amount owe will be:
y=-115x+2760

The side of a square measures 3mn^2. What is the area of the square if m=4 and n= -2

Answers

Your question was wrong. I had to watch the photo.

-2²=4
4(4)=16
16(3)=48
48²=2304


When I read your text I though this:
4(-2)=-8
-8(3)=-24
-24²=576
576²=331 776

2%2, percent of the students at Hamilton Middle School have red hair. There are 700700700 students at Hamilton Middle School. How many students at Hamilton Middle School have red hair?

Answers

Percentage of red haired students = 2%
Total number of students = 700

Therefore,
Number of students with red hair = Total number*Percentage of the red haired students = 700*2/100 = 14

Then, 14 students have red hair.

Answer:

14 students have red hair.

Step-by-step explanation:

In Hamilton Middle School 2% of the students have red hair .

Total number of students in the school = 700

We have to calculate the number of students who have red hair.

2% of 700 students.

= [tex]\frac{2}{100}[/tex] × 700

= 0.02 × 700

= 14 students.

14 students have red hair in Hamilton Middle School.

what is f(5) if f(x)=8x-3

Answers

It would be f(x)=37

Answer:

f(5)=37

Step-by-step explanation:

We have the function f(x)=8x-3,

f(5) is the value of the function f when x=5, then you have to replace f(x) with x=5,

f(x)=8x-3

f(5)=8.(5)-3

f(5)=40-3

f(5)=37

The equation for the line of best fit for a data set is y = 2x + 1.5. If the point (1, 4) is in the data set, what is the residual of 1? 0.5 3.5 4.0 7.5

Answers

It is related to econometrics, however using simple algebraic logic we can solve this problem. General formula with residual is [tex]y=2x+1.5+r[/tex], where r is a residual. Plugging the pair into the formula, we obtain that [tex]4=2*1+1.5+r[/tex] and r=0.5

Answer: First option is correct.

Step-by-step explanation:

Since we have given that

[tex]y=2x+1.5[/tex]

If the point (1,4) is in the data set.

we need to find the residual of 1.

At x = 1,

[tex]y=2x+1.5\\\\y=2\times 1+1.5\\\\y=2+1.5\\\\y=3.5[/tex]

So, At x = 1, the value of y = 3.5

As we know that

[tex]Residual\ value=Estimate\ value-Actual\ value\\\\Residual\ value=4-3.5\\\\Residual\ value=0.5[/tex]

Hence, The residual of 1 is 0.5.

Thus, First option is correct.

A bag contains 8 blue marbles 5 red marbles and 2 orange marbles , Carolina picks a marble from the bag at random and returns it to the bag and makes a second random selection . What is the probability that two blue marbles were selected

Answers

Initial total number of marbles: 8 + 5 + 2 = 15
Initial number of blue marbles: 8

First pick:
p(blue marble) = 8/15

Since the marble from the first pick is returned to the bag, the bag still contains 8 blue marbles and a total of 15 marbles.

Second pick:
p(blue marble) = 8/15

Overall:
p(blue marble followed by blue marble) =
= p(blue marble) * p(blue marble)
= 8/15 * 8/15
= 64/225

What is the recursive formula for the sequence 3, 12, 48, 192, 768...?

Answers

Final answer:

The given sequence is a geometric sequence. Each term in the sequence multiplies by 4 to obtain the next. Therefore, the recursive formula for the sequence is an = 4 * an-1.

Explanation:

The given sequence is: 3, 12, 48, 192, 768, and so on. Looking at the sequence, we can see that each term is multiplied by 4 to get the next term. So, the sequence is a geometric sequence. The recursive formula for a geometric sequence is given by: an = r * an-1, where an is the nth term, r is the common ratio, and an-1 is the previous term. In this case, r equals 4 (since we are multiplying each term by 4 to get the next term). Thus, "the recursive formula for this geometric sequence is: an = 4 * an-1".

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The length of a rectangle is 5 cm longer than its width. find the width given that the area is 36cm

Answers

Hi there! The answer is 4 cm.

Let the width of the rectangle be represented by X.
Now we can conclude we can express the length by X + 5.

The area of a rectangle can be found using the formula:
A = W × L = width × length.

Filling in the formula gives us the following:
[tex]x(x + 5) = [/tex]

Work out the parenthesis (for instance using rainbow technique).
[tex] {x}^{2} + 5x[/tex]

Now, when we've found our expression that represents the area, we can set up and solve an equation.
[tex] {x}^{2} + 5x = 36[/tex]

Subtract 36.
[tex] {x}^{2} + 5x - 36 = 0[/tex]

Factorise
[tex](x + 9)(x - 4) = 0[/tex]

Rule AB = 0, gives A = 0 or B = 0
[tex]x + 9 = 0 \\ x = - 9 \\ or \\ x - 4 = 0 \\ x = 4[/tex]

Since length can't be negative, the width of the rectangle, which was represented by x, is 4.
The answer is 4 cm.

~ Hope this helps you!

Check out the Points Scored by Lebron James during his 2012 season: 10,11.15, 18, 20, 20, 21,23, 24, 24, 26

A sport Statistics Magazine said his Median Score was 21 is that True or False?

A. True

B. False

Answers

Median: The middle of the numbers
10, 11, 15, 18, 20, 20, 21, 23, 24, 24, 26

Median is 20 (the middle of those numbers)

So,
False not 20

The fractions of -42/-45 and 14/15 are equivalent

Answers

yes, that is true, you have to simplify -42/-45 to be able to see if they are equivalant.
[tex] \frac{ - 42}{ - 45} = \frac{14}{15} [/tex]

Answer:

True

Step-by-step explanation:

what is the largest possible product of two odd integers whose sum is 42?

Answers

441. 

You can tell this because the largest area of any rectangle is when it is a square. Even sides will always produce the greatest area. Thus, 21 and 21 would be the best numbers to use. 

The largest possible product of two odd integers whose sum is 42 is 437, obtained from multiplying 19 by 23.

The question asks for the largest possible product of two odd integers whose sum is 42. To find this, we should split 42 into two odd numbers that are as close to each other as possible because the product of two numbers that are close together will be higher than the product of a pair that has a larger difference.

If we divide 42 by 2, we get 21, which is not an even integer, so we need to adjust the numbers by 1. So the two odd numbers closest to each half of 42 are 21 and 21. However, we can't have them both be the same number since we're looking for two integers, so we adjust one up and one down by 1, resulting in 20 and 22. To ensure both numbers are odd, we will subtract 1 from the first number and add 1 to the second number, giving us 19 and 23 as the two odd integers that sum to 42.

The product of 19 and 23 is 19 × 23 = 437, which is the largest possible product for two odd integers that add up to 42.

i need help with number 2 please p

Answers

2b-1=26-4b
6b=27
b=4.5

if you plug it back in both sides equal 8

Antar is flying a triangular-shaped kite. it has a height of 41/2 feet and a base of 53/4 feet. what is the area of antar's kite?

Answers

So 5 3/4 base and 4 1/2 height

A= HbxB/2 = 4.5*5.75/2= 12.94ft

Answer:

12.94

Step-by-step explanation:

7^-5 times 7^3 equals what, I need help asap please

Answers

Your answer is 7^(- 2) or [tex] \frac{1}{ 7^{2} } [/tex] or [tex] \frac{1}{49} [/tex]

Mitchell and Luke record the number of deliveries they each make for their family's restaurant. The results are shown in the box plots below.

Select the true statement.

The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.


Mitchell's data and Luke's data have the same interquartile range.

The median number of deliveries made by Mitchell each week is greater than the median number of deliveries made by Luke each week.

The median number of deliveries made by Mitchell each week is equal to the median number of deliveries made by Luke each week.

Answers

The correct answer is the first:
 The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.
 Since the interquartile range (RIC) is equal to:

 RIC = Q3-Q1

 Of the gracifa can be observed quer for the case of Mitchell:
 RIC = 34-25 = 9

 While for Luke's case:
 RIC = 36-28 = 8.

 Therefore Mitchell's interquartile range (RIC) is greater than Luke's.

Answer:

A. The interquartile range of Mitchell's data is greater than the interquartile range of Luke's data.

Step-by-step explanation:

A toy store marks up wooden yoyos 50%. If the wholesale price of each yoyo is $2.20, what will be the price per yoyo at the cash register?

Answers

To find the price of the yoyo at the cash register, you will start with the wholesale price of $2.20 and increase it by 50%.  To calculate the final price after the markup, you will add 100% (all of the original price) to the 50% to get 150%.

150% of $2.20
1.5 x 2.2 = 3.3

The price at the register is $3.30.

Answer:

1.10

Step-by-step explanation:

because 2.2o divided by half 1/2 or 50% off is 1.10 to check your work it is 1.10+1.10=2.20

The center of a circle is at (-5, 7) and its radius is 6 units. Which of the following is the equation for this circle?

A) (x - 5)2 + (y + 7)2 = 36
B) (x + 5)2 + (y - 7)2 = 36
C) (x - 5)2 + (y + 7)2 = 12
D) (x + 5)2 + (y - 7)2 = 12

Answers

Answer:
Option B, (x + 5)² + (y - 7)² = 36

Explanation:

The equation for a circle is (x - h)² + (y - k)² = r² where r represents the radius of the circle and the center is ordered pair (h, k).

We can then plug the given information into the formula and simplify where possible.

Center at (-5, 7), radius = 6:
[x - (-5)]² + (y - 7)² = (6)²

(x + 5) + (y - 7)² = 36, which matches option B.

A box contains 3 blue and 2 red pens while another box contains 2 blue and 5 red pens. a pen drawn at random from one of the boxes turns out to be blue. what is the probability that it came from the first box

Answers

There are 5 blue pens total, 3 are from the first box and 2 are from the second. The probability of pulling a blue pen from the first box and not the second is 3/5.

The probability of getting blue from the first box is 3/5.

Given that, a box contains 3 blue and 2 red pens while another box contains 2 blue and 5 red pens.

What is the probability?

Probability can be defined as the ratio of the number of favourable outcomes to the total number of outcomes of an event. For an experiment having 'n' number of outcomes, the number of favourable outcomes can be denoted by x. The formula to calculate the probability of an event is as follows.

Probability(Event) = Favorable Outcomes/Total Outcomes = x/n.

The probability of getting blue from the first box:

The number of favourable outcomes = 3 and the number of total outcomes =5

So, P(E) = 3/5

The probability of getting blue from the second box:

The number of favourable outcomes = 2 and the number of total outcomes =7

So, P(E) = 2/7

Therefore, the probability of getting blue from the first box is 3/5.

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What is a​ population?. a population is the set containing all the people or objects whose properties are to be described and analyzed by the data collector.
b. a population is a set of data.
c. a population is the set of all the properties that can be assigned to any people or objects in a given sample.
d. a population is a group that exhibits characteristics typical of those possessed by the target sample?

Answers

I think that is the letter (a)

The term population is the set containing all the people or objects whose properties are to be described. Hence, option (a) is correct.

What is Population?

A community is a distinct group of people, creatures, or other objects that can be recognized for the purposes of data gathering and analysis by at least one shared trait.

The majority of the time, data is collected from samples in order to learn more about huge populations. For instance, market researchers might randomly contact a small percentage of the town's subscribers to major carrier services who were born between 1980 and 2004 if they wanted to obtain representative statistics for Millennial consumers of mobile phones who did not have a landline in New York City (the population).

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!!!!PLEASE HELP, WILL GIVE BRIANLIEST!!!!

Which three-dimensional figure is formed by the rotation given?

The first picture is the rotation, the rest are the choices.

Answers

Hello!

The rotation creates a bowl or known as a  paraboloid

The answer is the third one

Hope this helps!

what does 3P2 equal?

Answers


No one has mentioned, so I will. What you are looking for is the permutation of 3 things taken 2 at a time. In other words, how many different unique ways are there to arrange 3 items, say colored balls, taking 2 of them for each group. By unique, I mean that 1 red and 1 blue is the same as 1 blue and 1 red,

Solve the proportion. Show your work.

Answers

3/x+1=5/11 first cross multiply 
3*11=33 and 5*x+1= 5x+5          5x+5=33 
then subtract 5 on both sides 5x+5-5=33-5 
5x=28 so divide 5 on both sides 
5x/5=28/5 
x= 5.6
Hope I Helped 

the weight of an object on mars varies directly as the weight of the object on earth a 90 pound object on earth weighs 34 pounds on mars.if an object weighs 135 pounds on earth how much does it weigh on mars

Answers

It will weigh 79 pounds on mars 

We have been given that the weight of an object on the mars varies directly as the weight of the object on earth.  

Let y be weight of an object on Mars and x be weight of an object on Earth.

[tex]\\ y=kx[/tex]

We have been given that the weight of an object on Mars is 34 pounds and weight of the same object on Earth is 90 pounds.

Putting the given values in equation we get

[tex]\\ 34=k(90)\\ \\ k=\frac{34}{90}=\frac{17}{45}[/tex]

Therefore, our equation now becomes

[tex]\\ y= \frac{17}{45}x[/tex]

Now we have been given that the weight of an object on Earth is 135 pounds and we have to find the weight of the same object on Mars,

We have been given that [tex]\\ x=135[/tex]

Putting the given values in our equation we get

[tex]\\ y= \frac{17}{45}(135)=\frac{17\cdot 135}{45}=17\cdot 3 = 51[/tex]

Therefore weight of the object on Mars will be 51 pounds.

                                                                             

The height of a triangular road sign is 1 inch shorter than twice its base. if the area of the sign is 60 in.2, which equation could be used to find the base (b) of the sign?

Answers

Final answer:

The equation that can be used to find the base of the triangular road sign is 60 = (b * (2b - 1)) / 2.

Explanation:

Let's assume that the base of the triangular road sign is represented by b. According to the problem, the height of the sign is 1 inch shorter than twice its base, which can be written as:

height = 2b - 1

The area of a triangle can be calculated using the formula Area = (base * height) / 2. Substituting the given values into the formula, we get:

60 = (b * (2b - 1)) / 2

This equation can be used to find the base, b, of the sign.

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