<u>Given</u>:
The graph shows the speed of a ball in free fall for 10 seconds.
We need to determine the constant of proportionality for the given graph.
<u>Constant of proportionality:</u>
The constant of proportionality can be determined using the formula,
Where k is the constant of proportionality.
Let us consider any of the coordinate from the graph and substitute in the formula.
Consider the coordinate (4,40) and substitute in the above formula.
Thus, we have;
Thus, the constant of proportionality is 10 meters per second squared.
Answer:
x = $3, or x = $11
Step-by-step explanation:
The equation given is 
where
- P(x) is the profit, and
- x is the app price
<u>We want app prices (x's) when profit (P(x)) is 0, so plugging in into the equation:</u>
<em>It means (x-3) = 0 OR (x-11) = 0</em>
So, x = 3, or 11
(5x^3 + 4)(25x^6 - 20x3 +16) remember factoring the cubes?
Answer:
x = 6 ; Rewritten: 2x-3y-12=0 ; y=-4
Step-by-step explanation:
2x-3 multiply 0=12
x=6 ( that's the function)
Rewritten steps: 2x-3y=12 then move constant to the left by adding its opposite to both sides which gives you 2x-3y-12=12-12. After the sum of two opposites equals 0 which is 2x-3y-12=0
Y Intercept :
2x-3y=12 and to find y intercept, sub x = 0 ; to 2 multiply 0 -3y=12 and then you solve for the equation which is your answer.
<h3>The value of x is 4.10</h3>
<em><u>Solution:</u></em>
Given that,
The angle Johnny holds his pen on paper creates a linear pair
Angles in a linear pair are supplementary angles
Two angles are supplementary, when they add up to 180 degrees
The measure of one angle is 13x + 7
The measure of the second angle is one less than twice the first angle
Therefore,
Measure of second angle = twice the first angle - 1
Measure of second angle = 2(13x + 7) - 1
Measure of second angle = 26x + 14 - 1
Measure of second angle = 26x + 13
Therefore,
Measure of first angle + measure of second angle = 180
13x + 7 + 26x + 13 = 180
39x + 20 = 180
39x = 180 - 20
39x = 160
x = 4.1
Thus value of x is 4.10
