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Ilya [14]
3 years ago
6

Which of the following functions shows the absolute value parent function f(x)=|x| vertically compressed

Mathematics
1 answer:
GenaCL600 [577]3 years ago
3 0

The answer is the option A, which is: A. G(x)= \frac{1}{4}|x|

 The explanation for this problem is shown below:

1. The compressing of this functions is defined by the function y=a|x|

Where a is the constant and it must be: a

2. As you can see, the only constant that is less than one is the constant of the first function G(x)=\frac{1}{4}|x|, where a=\frac{1}{4}

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The mass of a carbon atom is 1.994 × 10-23 grams. The mass of a hydrogen atom is 1.67 × 10-24 grams. What is the difference of t
Bezzdna [24]
Solving:
1.994*10^{-23}\:-\:1.67*10^{-24} = 

(1.994 - 0.167 )*10^{-23}
\boxed{\boxed{1.827*10^{-23}\:grams}}\end{array}}\qquad\quad\checkmark

4 0
3 years ago
Write in standard form the equation of a line with a slope of -3/5 and a y intercept of -3
Vlada [557]

Answer:

5y+3x=-9

Step-by-step explanation:

Let us start by the general form of the standard equation, Ax+By=C. One way we can solve this problem is by finding the <u>slope-intercept form</u> of this equation, y=mx+b, and converting it into the standard equation. In the slope-intercept form, m represents the slope, b represents the y intercept.

From this problem, we are given both the slope and the y intercept. We know have the equation:

y=-\frac{3}{5}x -3

Great! Now let us rearrange the terms so that the y and x terms are on one side of the equation.

y+\frac{3}{5} x=-3

This seems right, but a standard equation must have coefficient values that are real numbers. So, A and B must be real numbers. We can do this by multiplying the entire equation by 5 and ridding the denominator of the A term.

5y+3x=-9

<em>I hope this helps! Please let me know if you have any questions :)</em>

7 0
3 years ago
Use the formula to find the length of the radius if the area is 25 square centimeters.
Alexandra [31]

Answer:r = 2.81 centimeters

Step-by-step explanation:

The area of this circle can be found using the formula

A=πr^2

Where r = radius of the circle

π is a constant whose value is 3.14

We are given the area of the circle to be 25 square centimeters. To determine the length of the radius of the circle , we will make r the subject of the formula

r^2 = A/π

Taking square root of both sides of the equation,

r = √A/π

Since A = 25 and π = 3.14,

r= √25/3.14

r = 2.82166323992

Approximating to the nearest tenth of a centimeter,

r = 2.81 centimeters

5 0
3 years ago
a car travels 2 5/8 miles in 3 1/2 minutes at a constant speed. Write an equation to represent the distance, d, that the car tra
marissa [1.9K]

Answer:

d(m) = (1.05 miles/min)*m

Step-by-step explanation:

Divide 2 5/8 miles by 3 1/2 minutes to obtain the unit rate (miles per minute):

2 5/8 miles

--------------------

3 1/2 minutes


First, convert 2 5/8 miles and 3 1/2 minutes to improper fractions:

21/8 miles             21/8 miles

------------------  =  ----------------------  =  21/20 miles/minute

5/2 minutes         20/8 minutes


The constant rate is (21/20) miles/minute, or 1.05 miles/minute.

Thus, the equation representing the distance, d, that the car travels in m minutes is

d(m) = (1.05 miles/min)*m

8 0
3 years ago
Read 2 more answers
I need help with this problem y=5x-3
defon

Answer:

Slope= 5

y intercept= (0,-3)

Step-by-step explanation:

3 0
3 years ago
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