Answer:
Step-by-step explanation:
first find the slope using the above points then use the slope formula to calculate the slope
substitute ⅔ for m and one of the above points into the y-intercept form of the equation for a line and solve for b
substitute the slope and the value for b into the equation to get the answer
Answer:
A
Step-by-step explanation:
We know that the growth of a linear function will always be constant. So, that eliminates B and C.
A quadratic function can be a function such as , or
, etc.
An exponential function wouldn't be , it would be
! Or
, or
, etc. Therefore, D is eliminated.
So, the answer is and we're done!
Answer:
C. –x + 8y = 56
Step-by-step explanation:
Write in standard form.
x − 8 y = − 56
This is a linear function in the slope - intercept form:
y = m x + b and we need a standard form:
a x + b y = c
y = 1/8 x + 7 / * 8 ( we will multiply both sides of equation by 8 )
8 y = x + 56
- x + 8 y = 56 / * ( - 1 )
x - 8 y = - 56
The equation is y = 1/8x + 7
Standard form equation is Ax + By = C, where A > = 0.
First eliminate the fractions by multiplying the equation by 8
8y = x + 56
Subtract x from each side
-x + 8y = 56
SInce x coeficient can't be negative multiply the equation by negative one.
x - 8y = -56
Answer:
Step-by-step explanation:
Length = x
width = x - 7
height = x - 10
volume = 600 in^3
Volume = L * w * h
600 = x * (x - 7)*(x - 10)
600 = x * (x^2 - 17x + 70)
600 = x^3 - 17x^2 + 70x
x^3 - 17x^2 + 70x - 600 = 0
There is a genius somewhere that could solve this using algebra. The rest of us have 2 choices. We can graph it (see below) or we could use a program that solves it for us. I'll do both for you.
a = 1
b = - 17
c = 70
d = - 600
There is only 1 real solution: x = 15
L = 15
w = 8
h = 5
That has to be one of the ugliest graphs made. It does into the hundreds of thousands and it still looks like a straight line. Trust me. It's not.
