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GREYUIT [131]
3 years ago
5

Which of the following ordered pairs represents an output of 5 and an input of -8?

Mathematics
1 answer:
m_a_m_a [10]3 years ago
6 0

Answer:

(-8,5)

Step-by-step explanation:

The output corresponds to the y-value of an ordered pair while the input corresponds to the x-value of an order pair.

An ordered pair is written like this (x,y)

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Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp
tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

  • <em>The domain and the range of </em>g(x) = 9x^2 - 2<em> is </em>(-\infty, \infty)<em>.</em>
  • <em>The parent function </em>f(x) =x^2<em> is vertically compressed by 9, then shifted down by 5 units to get </em>g(x) = 9x^2 - 2<em />

<em />

Given

g(x) = 9x^2 - 2

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are (-\infty, \infty)

(-\infty, \infty) is in interval notation

The corresponding set notation is: - \infty < x < \infty

<u />

<u>The parent function</u>

We have:

f(x) = x^2

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

(x,y) \to (x,9y)

So, we have:

f'(x) = 9x^2

Next, the function is shifted down by 5 units.

So, we have:

g(x) = f'(x) - 5

g(x) = 9x^2 - 5

Read more about functions at:

brainly.com/question/21027387

4 0
2 years ago
Which of the following options have the same value as 60% percent of 94?
elena55 [62]

Answer:

54.4

Step-by-step explanation:

8 0
3 years ago
Meg read a book in 3 weeks,2 days, and 3 hours. how many hours did she spend reading a book I need help
san4es73 [151]
Shesp ends reading 219 hours reading that book
5 0
3 years ago
What is the value of q in the equation 5q-10=75
Alex

Answer:

q=17

Step-by-step explanation:

5q-10=75

add 10 to both sides to cancel out -10 on the left side

5q-10+10=75+10

5q=85

divide both sides by 5 to get rid of the 5 in 5q

5q/5=85/5

resulting in:

q=17

5 0
3 years ago
1) A basket of apples are given to a group of students. If 3 apples are given to each student, there will be 8 apples left. If 5
sattari [20]

Answer:

1) either 5 or 6 students in the group

2) 6 rooms are booked

Step-by-step explanation:

1) x students  

3x + 8 = apples

5 (x-1) + y (the one get less than 5 apples)

3x + 8 = 5 (x - 1) + y

3x + 8 = 5x - 5 + y

2x + y = 13

X       1       2      3      4      5      6

Y       11      9      7      5      3       1

because y < 5 so x = 5 or x = 6

2) x rooms are booked

4x + 20   total students

8 (x-1) + y (the students in room not full))

4x + 20 = 8 (x-1) + y

4x + 20 = 8x - 8 + y

4x + y = 28

X       1       2      3      4      5      6

Y       24    20    16    12     8      4

y < 8 answer is 6 rooms

4 0
3 years ago
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