(x² + 6x − 16)(x − 2) = ax³ + bx² + cx + d
What is the value of
c/d
a.8
b.7
c.-7
d.-8

Solution:

Given that,

We have to find the value of

Let us simplify the given expression

Simplify the left hand side of equation

Therefore,

On comparing both sides we get,

c = -28

d = 32

Therefore,

Thus value of c/d is -7/8

logv3(x+2)=1

rewrite in exponential form:

logb(x) = y is equal to b^y =x

b = 3, y = 1

now solve for x:

3^1 = x+2)

x = 3-2

x = 1

see the picture for the graph.

step-by-step explanation:

let

we know that

the y-intercept is the y-coordinate of the point when the value of x is equal to zero

so

the y-coordinate of the point a is the y-intercept

the answer part a) is

the value of y-intercept is

part b) find the slope m

we know that

the value of the slope is equal to

substitute the values

therefore

the answer part b) is

the value of the slope is equal to

the general answer is

the slope is

the value of y-intercept is