Answer:
P = 0.5Q - 20
Step-by-step explanation:
P = kQ + c
substitute Q = 60 , P = 10 into the equation
10 = 60k + c → (1)
substitute Q = 240, P = 100 into the equation
100 = 240k + c → (2)
subtract (1) from (2) term by term to eliminate c
90 = 180k ( divide both sides by 180 )
= 
= 0.5 = k
substitute k = 0.5 into (1) and solve for c
10 = 60(0.5) + c
10 = 30 + c ( subtract 30 from both sides )
- 20 = c
then
P = 0.5Q - 20
Answer:
22.5 in^2
Step-by-step explanation:
h = 3 in
base 1 = 6 in
base 2 = 9 in
So plug in
A = 1/2 (3) (6 + 9)
A = 3/2 (15)
A = 22.5 in^2
The original function of y = -1/3|x| was translated 2 units to the right and 5 units up.
<h3>The types of transformation.</h3>
In Mathematics, there are four (4) main types of transformation and these include the following:
- Dilation
- Rotation
- Reflection
- Translation
<h3>What is a translation?</h3>
In Mathematics, the translation of a geometric figure (shape) to the right simply means adding a digit to the numerical value on the x-coordinate (x-axis) of the pre-image of a function while a geometric figure (shape) that is translated up simply means adding a digit to the numerical value on the y-coordinate (y-axis) of the pre-image.
In this scenario, the original function was shifted 2 units to the right and then shifted 5 units up to produce the new function as follows:
Original function (x, y) → New function (x + 2, y + 5)
y = -1/3|x| → y = -1/3|x + 2| + 5
Read more on translation here: brainly.com/question/20720324
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Answer:
125
Step-by-step explanation:
First, solve the exponent:
5^2 = 5x5 = 25
Then solve the rest:
5x25-125
