Using the two given solutions and the general absolute value function we will get:
|x + 9| = 27
<h3>
Which absolute value function has that solution set?</h3>
The two solutions are:
x = 0 and x = -18.
Remember that the absolute value equation is something like:
|x - a| = b
If we want to have these solutions, then:
|0 - a| = b
|-18 -a| = b
From the first one, we have:
|-a| = b
Replacing that on the second equation we get:
|-18 -a| = |-a|
Notice that if we take a = -9, then we have:
|-18 + 9| = |+9|
|-9| = |+9|
This is true, so a = -9.
Then we find the value of b:
|18 + 9| = b = 27
Then the absolute value equation is:
|x + 9| = 27
If you want to learn more about absolute value equations, you can read.
brainly.com/question/3381225
Set up the composite result function.
f
(
g
(
x
)
)
Evaluate
f
(
g
(
x
)
)
by substituting in the value of
g
into
f
.
4
(
x
−
2
)
Apply the distributive property.
f
(
x
−
2
)
=
4
x
+
4
⋅
−
2
Multiply
4
by
−
2
.
f
(
x
−
2
)
=
4
x -8
Step-by-step explanation:
Answer:
Could you please retake your picture it is blurry
Answer:
a : c = 7 : 10
Step-by-step explanation:
The two ratios (a : b and b : c) both have b in common, so to work out what a : c is, we can use b to 'bridge' the two ratios together.
However, in a : b, b is 4. But in b : c, b is 2. We need to make sure b is the same in both ratios before we can combine the ratios together. The easiest way to do this is to multiply b : c by 2 to get b : c = 4 : 10. Now b is 4 in both ratios.
So now, we can combine the two ratios together to get a : b : c = 7 : 4 : 10. Since we only want a : c though, we can just drop the b and get a : c = 7 : 10. No simplifying is necessary since the ratio is already in its simplest form.
Hope that helps! :)
Answer:
Linear function
Step-by-step explanation:
Given
Required
Linear or Exponential
A linear equation has the form: 
;
An exponential has the form: 
By comparing both functions to:
The linear function is similar to
<em>Hence, the given function is a linear function.</em>
