<h2>
Answer:</h2>
(a)
(b)
(c)
<h2>
Step-by-step explanation:</h2>
We are given a function f(x) as :
(a)
We will substitute (x+h) in place of x in the function f(x) as follows:
(b)
Now on subtracting the f(x+h) obtained in part (a) with the function f(x) we have:
(c)
In this part we will divide the numerator expression which is obtained in part (b) by h to get:
Answer:
The number of pages that Polina read was 90 and the number of pages that Marcus read was 18
Step-by-step explanation:
Let
x -----> number of pages that Polina read
y ----> number of pages that Marcus read
we know that
x+y=108 ----> equation A
x=5y -----> equation B
substitute equation B in equation A and solve for y
Find the value of x
therefore
The number of pages that Polina read was 90 and the number of pages that Marcus read was 18
If <em>n</em> = 0.151515…, then 100<em>n</em> = 15.151515…
Then
100<em>n</em> - <em>n</em> = 15.151515… - 0.151515…
99<em>n</em> = 15
<em>n</em> = 15/99 = 5/33
Answer:
x = 5 and -2
Step-by-step explanation:
Given the function of x to be;
f(x) = (x-5)(x+2)/x+1
The value of x that will make the function zero can be calculated for by equating the given function to zero first to have;
If f(x) = 0, then;
(x-5)(x+2)/x+1 = 0
Cross multiplying;
(x-5)(x+2) = 0
(x-5) = 0 and x+2 = 0
x = 5 and x = -2
The value of x that will make the function zero is therefore 5 and -2
Here are the basic steps to follow to simplify an algebraic expression:<span>remove parentheses by multiplying factors.
use exponent rules to remove parentheses in terms with exponents.
combine like terms by adding coefficients.
<span>combine the constants.</span></span>
