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3 years ago

if you horizontally stretch the quadratic parent function , f(x)=x^2, by factor of 4, what is the equation of the new function?

Mathematics

1 answer:

lawyer [7]3 years ago

7 0

You replace the x by (1/4 x) so the required equation is:-

y = (1/4 x)^2

y = 1/16 x^2 (answer)

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Select the equation that contains the point (-5, 2) and in which the slope equals 1/2

Vaselesa [24]

5x+3y=4 is the answer....

3 0

2 years ago

The table shows how many books the students in Bergdalsskolan list during the summer. There were 48 students who list 4 books. a

Juliette [100K]

Step 1:

First, find the total number of students.

Let the total number of students = m

Step 2:

Find the total number of students using the percentage of 4 books.

48 students listed 4 books with a percentage of 16%

$\begin{gathered} 48\text{ = 16\% of m} \\ 48\text{ = }\frac{16}{100}\text{ }\times\text{ m} \\ 48\text{ = }\frac{16m}{100} \\ \text{Cross multiply} \\ 16m\text{ = 48 }\times\text{ 100} \\ 16m\text{ = 4800} \\ \text{m = }\frac{4800}{16} \\ \text{m = 300} \end{gathered}$

Hence, there are 300 students.

$\begin{gathered} \text{Number of students that had 1 book = 24\% of 300} \\ =\text{ }\frac{24}{100}\text{ }\times\text{ 300} \\ =\text{ }\frac{7200}{100} \\ =\text{ 72 students} \end{gathered}$

72 students had 1 book.

b) What percentage more read 2 books than 4 books?

percentage that read 2 books = 36%

percentage that read 4 books = 16%

36 - 16 = 20%

There are 20% students that read 2 books than 4 books.

8 0

1 year ago

A single tree produces about 2.6 x 10^2 lb of oxygen each year.The Amazon rainforest has about 3.9 x 10^11 trees.About how many

Hitman42 [59]

2.6e2*3.9e11=1.014e+14 pounds of oxygen per year.

4 0

2 years ago

A cheetah ran 230 feet in 1.932 seconds. What is the cheetah's speed in miles per hour?

Bumek [7]

Answer:

The answer to your question is speed = 81.5 mi/h

Step-by-step explanation:

Data

distance = 230 ft

time = 1.932 s

speed = ? mi/h

Process

1.- Convert the distance to mi

1 mile ----------------- 5280 ft

x ----------------- 230 ft

x = (230 x 1) / 5280

x = 0.044 mi

2.- Convert time to hours

1 h ------------------ 3600 s

x ------------------ 1.932 s

x = (1.932 x 1) / 3600

x = 0.00054 h

3.- Calculate the speed

speed = distance / time

-Substitution

speed = 0.044/ 0.00054

-Result

speed = 81.5 mi/h

4 0

3 years ago

Sara has 50 dollars to spend at an amusement park. Admission is 20 dollars, and tickets cost 1.50 per ride. Write an equation to

ra1l [238]

Answer:

Step-by-step explanation:

50 - 20 = 30

30 ÷ 1.50 = 20

4 0

2 years ago