f(x) has the smallest minimum. The minimum value of f(x) is -3
The largest sin(x) can get is 1.
This applies to sin(2x-pi) as well. So f(x) is as small as -5*(1)+2 = -5+2 = -3.
You can see this each time the red curve bottoms out at y = -3.
The smallest that g(x) can get is y = -2 as shown at the vertex (3,-2)
The smallest that h(x) can get is y = 3 as shown by the point (1,3)
See the attachment for a visual comparison of the three functions.
Answer:
$9
Explanation:
First, we need to find 70% of the original price of $30 using the following equation:

It means that Emma pays $21 less than the original price. So, she pays:
$30 - $21 = $9
Therefore, the answer is $9
<h3>
Answer: -20</h3>
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Work Shown:
Let x be the location of E on the number line.
Since C is the midpoint of E and F, this means we can find C's location by adding E and F together and dividing that sum by 2
midpoint = (endpoint1 + endpoint2)/2
C = (E+F)/2
Plug in E = x, C = -8 and F = 4. Then solve for x
C = (E+F)/2
-8 = (x+4)/2
(x+4)/2 = -8
x+4 = 2(-8) .... multiplying both sides by 2
x+4 = -16
x = -16-4 .... subtract 4 from both sides
x = -20
The location of point E on the number line is -20
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As a check, lets add E and F to get E+F = -20+4 = -16
Then cut this in half to get -16/2 = -8, which is the proper location of point C
This confirms our answer.
The value of x=20
Step-by-step explanation:
We need to find the value of x
We are given a right angle which is equal to 90°
So, all three angles must sum to 90°
Our equation will be:

Solving and finding value of x

So, the value of x=20
Keywords: Angles
Learn more about angles at:
#learnwithBrainly
Answer:
1) 88:100=44:50=22:25 (simplest answer)
2) 12:88=3:22 (simplest answer)