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Anastaziya [24]
3 years ago
5

12- 8. 2. 4 8 10 Slope

Mathematics
1 answer:
S_A_V [24]3 years ago
5 0

Step-by-step explanation:

what is the problem ? find the slope of the line ?

the slope is the ratio y/x of the y difference and the x difference between 2 points.

I see 2 points with seemingly integer coordinates.

one point is at (2, 6) as you marked it also on the sheet.

the other point is (6, 12).

so, when you go from point 1 to point 2, x changes by 4 units (from 2 to 6) and y changes by 6 units (from 6 to 12).

therefore, the slope is 6/4 = 3/2

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Sharon borrowed $750 at 12% for one year. She paid a $20 processing fee. How much will she pay in interest?
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$90

Step-by-step explanation:

The principal amount in the loan taken by Sharon is $750 . Note hat the $20 processing fee is a one time cost and is not included in the interest calculation.

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Time interval for the loan transaction is 1 year.

So the interest for 1 year is given by \[Principal * Rate * Year /100\]

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2 years ago
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How can we use the distributive property to find an expression equivalent to
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The one-to-one functions g and h are defined as follows
Debora [2.8K]

Answer:

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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
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