Step-by-step explanation:
Use Eucild division lemma to help solve this.
It’s 2 because you plug in “x+1” as y into the the first equation then solve for x.
The transformation on function f is (c) a vertical compression by a factor of 1/2
<h3>How to determine the transformation?</h3>
The functions are given as:
f(x) = 2^x
g(x) = 1/2(2^x)
The above means that:
g(x) = 1/2 * f(x)
The factor multiplied by f(x) to get g(x) is:
k = 1/2
The above factor is less than 1 but greater than 0.
This represents a vertical compression
Hence, the transformation on function f is (c) a vertical compression by a factor of 1/2
Read more about transformation at:
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The required amount Weiming has to pay is given by the limit of $150
more than the amount Joyce has to pay.
Response:
- The greatest amount Weiming has to pay is<u> $180</u>
<h3>Which method can be used to analyze the amount paid by Weiming and Joyce?</h3>
Amount Weiming agrees to pay ≥ 2 × Joyce agrees to pay
Amount Weiming agrees to pay ≤ 150 + Amount Joyce agrees to pay
Let <em>x</em> represent the amount Weiming agrees to pay, and let <em>y</em> represent
the amount Joyce agrees to pay, we have;
x + y = 210
x ≥ 2·y
x ≤ y + 150
When the amount Weiming is $150 more than Joyce, which is the
limiting amount for Weiming, we have;
x = y + 150
Which gives;
y + 150 + y = 210
2·y = 210 - 150 = 60
y = 60 ÷ 2 = 30
x = 30 + 150 = 180
Therefore;
- The greatest amount Weiming has to pay is, x = <u> $180</u>
Learn more about inequalities here:
brainly.com/question/17882496
Answer:
14w -14
Step-by-step explanation:
6w + 2(4w - 7)
Distribute
6w+ 8w -14
Combine like terms
14w -14