(x+5)*7=133
7x+35=133
7x=98
x=98/7
x=14
Answer:
Jon did determine the probability correctly.
Step-by-step explanation:
<em>In Jon's closet, there are a total of 24 clothes. Among those pieces of clothing, there are a total of 9 out of 24 clothes that are black. There are also 11 shirts out of 24 clothes. </em>
<em />
<em>When a probability has OR in it, it means to add.</em>
<em />
<em>11/24 plus 9/24 gives you 20/24.</em>
<em />
<em>Therefore, Jon is correct.</em>
<em />
Answer:
x^2 and 5x
3x and 15
Step-by-step explanation:
Answer:
f(x) = |x|
g(x) = |x| - 2
h(x) = |x| + 3
Step-by-step explanation:
All the functions graphed represent the absolute value functions.
Since function g(x) passes through (0, 0) and (1, 1),
Let the equation of a line passing through these points is,
y = mx + b
Slope of the line passing through these points 'm' = 
m = 1
y-intercept of the line 'b' = 0
Therefore, equation of the line will be,
y = x
And the function representing the two lines (both are the mirror images) joining at the origin will be,
f(x) = |x|
When the parent function is shifted 3 units up, the new function will be
h(x) = |x| + 3
When the parent function is shifted 2 units down,
g(x) = |x| - 2
Answer:


Step-by-step explanation:
Given

Express the denominator as 
To do this, we divide
by the denominator

So, the required fraction is:


Hence:

Given

Express the denominator as 
Multiply the fraction a+4/a+4
So, we have:

Apply difference of two squares to the denominator

Take the additive inverse of the numerator and denominator


Hence:
