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olga nikolaevna [1]
3 years ago
9

Eight less than the quotient of a number and 3 is 18

Mathematics
1 answer:
Dmitriy789 [7]3 years ago
8 0
The answer is 39 
Hope this helps
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Match each transformation of function f to a feature of the transformed function.
andrezito [222]

By analyzing the parent function graph, we will see that:

  • 1) m(x) = -f(x) ⇒  "function decreases as x increases"
  • 2)  h(x) = f(x) + 2 ⇒ "asymptote of y = 2"
  • 3) j(x) = f(x + 2) ⇒ "y-intercept at (0, 4)"
  • 4)  g(x) = 2*f(x)  ⇒ "y-intercept at (0, 2)"

<h3>What thing does each transformation?</h3>

Let's list each transformation and let's see which is the correct option for each one.

1) m(x) = -f(x).

This is a reflection over the x-axis, so, now the curve will open downwards. This means that now we have a decreasing function, so the correct option here is: <em>"function decreases as x increases"</em>

2) h(x) = f(x) + 2

This is a vertical translation of 2 units upwards. So it moves the whole graph 2 units upwards. Originally, you can see that in the left side we have an asymptote at y = 0, now that asymptote will be at y = 2.

So the correct option is: <em>"asymptote of y = 2.</em>

3) j(x) = f(x + 2)

This is a shift of 2 units to the left, notice that when we evaluate this in x =  0 we et:

j(0) = f(2) = 2^2 = 4

So the y-intercept os (0, 4).

4) g(x) = 2*f(x)

This is a vertical stretch of scale factor 2.

When we evaluate this in x = 0, we get:

g(0) = 2*f(1) = 2

So the y-intercept is at (0, 2).

If you want to learn more about transformations, you can read:

brainly.com/question/4289712

6 0
2 years ago
Every positive integer is smaller than every negative integer true or false
Evgen [1.6K]
The answer is false. Good luck with other questions!
5 0
3 years ago
Find percent notation for the fraction notation in the sentence given below.
Kruka [31]
9/20 = .45

41/100 = .41
8 0
3 years ago
Which explains whether sophia is correct
IgorLugansk [536]

Answer:

uhh where's the rest of the question hombre

7 0
2 years ago
If 541 people use the swimming pool and children pay 1.75 dollars and adults pay 2.25 and in total earned was 1041.25 how many c
Zina [86]

Answer:

352 children

Step-by-step explanation:

Solve algebraically using a system of equations

Assign variables

let "a" be the number of adults

let "c" be the number of children    <-- We want to find this

a + c = 541             Equation for number of people

2.25a + 1.75c = 1041.25           Equation for money

<u>Rearrange the equation for people</u>. Isolate the variable you don't want to find.

a = 541 - c

<u>Substitute</u> "541 - c", replacing "a", in the equation for money

2.25a + 1.75c = 1041.25              

2.25(541 - c) + 1.75c = 1041.25               Distribute over brackets

1217.25 - 2.25c + 1.75c = 1041.25               Collect like terms

1217.25 - 0.5c = 1041.25                   Simplified equation

<u>Start isolating "c".</u> Move anything that's not "c" to the right side. Move numbers in reverse BEDMAS order. That means we will add/subtract before dividng/multiplying. When moving a number, do its reverse operation to the entire equation.

1217.25 - 0.5c = 1041.25      Do the reverse of positive 1217.25

1217.25 - 1217.25 - 0.5c = 1041.25 - 1217.25    Subtract 1217.25 on both sides  

-0.5c = -176               Do the reverse of multiplying by -0.5

-0.5c/-0.5 = -176/-0.5               Divide both sides by -0.5

c = 352                Number of children

Therefore, there were 352 children in the pool.

5 0
3 years ago
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