The sum of their ages is 71+68=149
They are actually 149 years old
The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up ⇒ 2nd answer
horizontal translation 5 units left ⇒ 4th answer
Step-by-step explanation:
Let us revise the translation:
- If the function f(x) translated horizontally to the right by h units, then its image is g(x) = f(x - h)
- If the function f(x) translated horizontally to the left by h units, then its image is g(x) = f(x + h)
- If the function f(x) translated vertically up by k units, then its image is g(x) = f(x) + k
- If the function f(x) translated vertically down by k units, then its image is g(x) = f(x) - k
∵ f(x) = 8x
∵ g(x) = (8x + 5) + 1
- From the notes above translation to the left h units added x by h
∵ 8x is added by 5
∴ f(x) translated 5 units to the left
- From the notes above translation up k units added f(x) by k
∵ f(x) is added by 1
∴ f(x) translated 1 unit up
The transformations are needed to transform the graph of f(x) to the graph of g(x) are:
vertical translation 1 unit up
horizontal translation 5 units left
Learn more:
You can learn more about translation in brainly.com/question/2451812
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Answer:
Yes, it makes it true
Step-by-step explanation:
Plug in 3 and 10 as x and y into the inequality:
y > 2x + 2
10 > 2(3) + 2
10 > 6 + 2
10 > 8
Since 10 is bigger than 8, this inequality is true.
So, (3, 10) makes the inequality true.
Trapezoid- 45 square units
Triangle- 27 square units
Parallelogram (to the right figure):
30 square units
MARK ME BRAINLIESTT PLEASE
Answer:
3 or 4, I am confused
Step-by-step explanation:
I'll assume that f(x) = x2 – 2x + 8 is meant to be f(x) = x^2 – 2x + 8
Find the value of f(x) for x = 2:
f(x) = x^2 – 2x + 8
f(2) = (2)^2 – 2*(2) + 8
f(2) = 4 - 4 + 8
f(2) = 8
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From the graph, we can find that g(2) = 11
The differece between g(2) and f(2) is thus:
11 - 8 = 3
3 is not an option, so I wonder if the question is asking for the difference between the absolute maximum of g(x) and f(2). If so, the maximum for g(x) is 12, at x = 3.
This would lead to a difference of 12 - 8, or 4. This is still not an option, so I'm confused. Perhaps you can find my error and find the ciorrect answer, or at least one that appears in the options.