Function represents a relationship between variables. The product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.
<h3>What is Function?</h3>
A function assigns the value of each element of one set to the other specific element of another set.
Given to us
k(x) = 2x² − 7
p(x) = x − 4
As the two equations are given to us, k(x) and p(x), and we need to find (k ∘ p)(x), And we know the product of two functions can be written as,
therefore,
Hence, the product of the two given functions (k·p)(x) is 2x³-8x²-7x+28.
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Answer:
$63
Step-by-step explanation:
so we want to find 9/9 of her allowance, which is 100%
we could use a proportion:
let 'a' = full allowance
÷ 
= 
÷ 
when we divide fractions we multiply by the reciprocal to get:
28 x 9/4 = a
a = 252/4
a = 63
Area of square = s^2
Area of Rectangle = lw
l = 2s
w+3 = s
solve for w, w=s-3
Now we have l and w.
Plug both into area of rectangle formula so: (2s)(s-3)
Since both areas are equal set both equations equal to each other:
(2s)(s-3)=s^2
Now simplify
2s^2-6s=s^2
s^2-6s=0, Solve for s.
Factor polynomial. s(s-6)=0 , s can be equal to 0 or 6. HOWEVER, you cannot have a side length of 0 therefore the side length has to be 6.
Now plug in s for the length formula for the rectangle:
l = 2s so... l = 2(6) so length of rectangle = 12.
Now plug in s for the width formula for the rectangle:
w+3=s so... w+3=6 so width of rectangle = 3.
Now the dimensions of the rectangle are 12 by 3. 12 being length and 3 width.
To CHECK:
Find area of rectangle:
A=lw so A=3 times 12 so A=36
Find area of square:
We know the side is equal to 6 so
A=s^2 so 6^2 = 36
The areas are equal that verifies the answer of 12 by 3.
Answer: you can run 6 miles
explanation: 8 2/5 divided by seven = 1.2 1.2x5 = 6
