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Nutka1998 [239]

2 years ago

6

A caterpillar moves at a constant speed of 1/2 inches per second. Let x represent the time travel in seconds and y represent the

distant travel in inches. I Really need help with this!

1 answer:

Anika [276]2 years ago

5 0

Step-by-step explanation:

Expression = 1/2x = y

Easy algebraic expression

~Done~

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The one-to-one functions g and h are defined as follows

Debora [2.8K]

Answer:

$g^-^1(x)=-8$

$h^-^1(x)=\frac{x-4}{3}$

$(h^-^1 \ o\ h)(-3)=-3$

Step-by-step explanation:

When given the following functions,

$g=[(-2,-7),(4,6),(6,-8),(7,4)]$

$h(x)=3x+4$

One is asked to find the following,

1. Question 1

$g^-^1(4)$

When finding the inverse of a function that is composed of defined points, one substitutes the input given into the function, then finds the output. After doing so, one must substitute the output into the function, and find its output. Thus, finding the inverse of the given input;

$g^-^1(4)$

$g(4)=6\\g(6)=-8\\g^-^1(4)=-8$

2. Question 2

$h^-^1(x)$

Finding the inverse of a continuous function is essentially finding the opposite of the function. An easy trick to do so is to treat the evaluator (h(x)) like another variable. Solve the equation for (x) in terms of (h(x)). Then rewrite the equation in inverse function notation,

$h(x)=3x+4\\\\h(x)-4=3x\\\\\frac{h(x)-4}{3}=x\\\\\frac{x-4}{3}=h^-^1(x)$

$h^-^1(x)=\frac{x-4}{3}$

3. Question 3

$(h^-^1 \ o\ h)(-3)$

This question essentially asks one to find the composition of the function. In essence, substitute function (h) into function ( $h^-^1$ ) and simplify. Then substitute (-3) into the result.

$h^-^1\ o\ h$

$\frac{(3x+4)-4}{3}\\\\=\frac{3x+4-4}{3}\\\\=\frac{3x}{3}\\\\=x$

Now substitute (-3) in place of (x),

$=-3$

8 0

3 years ago

Need help!! How do I figure out the question.

Natali5045456 [20]

Answer:

its the second one lol its just asking you to pick the one less than a and a is 0.11 so it would be 0.0019

Step-by-step explanation:

7 0

3 years ago

what is the largest of three consecutive integers if the sum of the two larger integers is 3 more than two times the smallest in

Alina [70]

Answer:

Ambitious Ambitios Ambitious Ambitions

5 0

3 years ago

Four girls are cutting string to be used for bracelets. They have 8 1/6 yards of string. Each bracelet uses 2 1/4 feet of string

Gelneren [198K]

6 bracelets
So ya ya

8 0

3 years ago

Someone pls help me with this it’s not cut off this time but pls help me

stealth61 [152]

It’s A “9/14”
Explanation:
3/4 is bigger than 9/14
If you graph those two fractions, you can clearly see that 9/14 is one number/block less than 3/4. Hope this helped!

5 0

3 years ago