Answer: -13
Step-by-step explanation:
= 4*(1/4) - 8(2-1/4)
= 1-8(7/4)
= 1-14
= -13
Answer:
Option B
Step-by-step explanation:
we have
we know that
<u>The vertical line test </u>is a visual way to determine if a curve is a function or not. A function can only have one value of y for each unique value of x
In this problem
The given function passes the vertical line test
therefore
f(x) is a function
<u>The Horizontal Line Test</u> is a test use to determine if a function is one-to-one
If a horizontal line intersects a function's graph more than once, then the function is not one-to-one.
In this problem
The given function fails the horizontal line test
because for f(x)=0 x=-3, x=-1, x=3
therefore
It is no a one-to-one function
![4x^2+7x-15](https://tex.z-dn.net/?f=4x%5E2%2B7x-15)
Break the expression into group:
![(4x^2+5x)+(12x-15)](https://tex.z-dn.net/?f=%284x%5E2%2B5x%29%2B%2812x-15%29)
factor out x from 4x² - 5x : x (4x-5)
factor out 3 from 12x-15 : 3 (4x-5)
![=x(4x-5)+3(4x-5)](https://tex.z-dn.net/?f=%3Dx%284x-5%29%2B3%284x-5%29)
factor out common term (4x-5) :
![= (4x-5)(x+3)](https://tex.z-dn.net/?f=%3D%20%284x-5%29%28x%2B3%29)
hope this helps!
Answer:
a=35x−x^2
Step-by-step explanation:
Having
70 ft of fencing with a
width of x
feet and knowing the perimeter of a rectangle is
p=2w+2l
we can state the length of the garden as:
70=2x+2l
and solving for l
we know the length with be:
2l=70−2x or l=35−x
And then knowing the formula for the area of a rectangle is
a=w⋅l
we can write the equation as:
a=x⋅(35−x)a=35x−x^2