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Savatey [412]
2 years ago
12

Consider the function f(x) = 3x + 1 and the graph of the function g(x) shown below.

Mathematics
1 answer:
MrRissso [65]2 years ago
4 0

g(x) is a translation of 6 units downwards.

<h3>How to identify the translation that generates g(x)?</h3>

Here we have the function:

y = f(x) = 3x + 1

Notice that the y-intercept of f(x) is:

f(0) = 3*0 + 1 = 1

The y-intercept of f(x) is y = 1.

Now, we know that the y-intercept of g(x) is -5. then:

g(x) = 3x - 5 = f(x) - 6

Meaning that g(x) is a translation of 6 units downwards.

If you want to learn more about translations:

brainly.com/question/24850937

#SPJ1

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A participant in a 21-mile walkathon walks at a steady rate of 3 per hours. He thinks, "the relationship between the number of m
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Answer:

<u>Yes. I agree with his claim because the equation relating the miles left to walk and the number of miles left to walk is :</u> y=-3t+21

Step-by-step explanation:

Given :

  • <em>It's a 21 - mile walkathon</em>
  • <em>The rate at which he is moving is 3 miles per hour.</em>

Let the number of miles walked be x ;

∴,

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<em>Thus the time 't' for which he walked :</em>

t=\frac{distance}{speed} \\t=\frac{x}{3}:

∴

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x=21-y\\x=3t\\21-y=3t\\y=21-3t

Thus , when we compare this with y=mx+c ,

y=mx+c\\y=-3t+21\\m=-3,c=21

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4 years ago
What is the sum of all positive integer cubes that are less than 100
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Step-by-step explanation:

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hence 99 is less than 100

Hence solved.

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