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Lynna
15 days ago
13

Consider the function represented by the equation 6q = 3s - 9. Write the equation in function notation, where q is the independe

nt variable.
Mathematics
2 answers:
PIT_PIT [3.9K]15 days ago
8 0
They want you to isolate q
6q=3s-9
then divide both sides by 6
q=1/2s-3/2
Svet_ta [4.3K]15 days ago
4 0

Answer:

Start with the given equation:

6q = 3s -9

Add 9 to both sides:

6q+9= 3s -9+9

Simplify the result:

6q+9= 3s

Next, divide both sides by 3:

\frac{1}{3}(6q+9)=s

Apply the distributive property: a \cdot (b+c) = a\cdot b+ a\cdot c

2q+3 = s

Alternatively, it can be written as

s = 2q+3 with q as the independent variable and s as the dependent variable.

Express it in function form: s = f(q)

Thus, the equation in function notation:

f(q) = 2q+3, with q as the independent variable

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The cost of a parking permit consists of a one-time administration fee plus a monthly fee. A permit purchased for 12 months cost
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The question is incomplete:

The fee for a parking permit consists of a one-time administration charge plus a monthly fee. A permit for 12 months costs $660. A 15-month permit costs $810.

What is the administration charge?

Answer:

$60

Step-by-step explanation:

To find the administration fee, first compute the difference between the two permits and divide by the three-month variation to identify the monthly fee:

$810-$660= 150

$150/3= $50

Next, multiply the monthly fee by 12 to determine the total monthly fee for 12 months, then subtract this from the 12-month permit cost to ascertain the one-time administration fee:

$50*12= $600

$660-$600= $60

This indicates that the administration fee is $60.

3 0
16 days ago
A cross-country team had a total of 10 practices last week, with each practice being in the morning or the afternoon. During eac
Leona [4166]

x= morning

y = afternoon

x + y = 10

x=10-y

5x + 6y =57

5(10-y) +6y =57

50-5y +6y =57

y=7

x=10-7 =3

 verification: 3*5 = 15, 7*6 = 42, 42 + 15 = 57


3 morning practices

3 0
20 hours ago
Rachel traveled to five different areas (A, B, C, D, and E) to study the number of buckeye butterflies and the number of monarch
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Choices C and E.

Step-by-step explanation:

Have a wonderful day! Thank you!

8 0
2 days ago
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A coordinate grid with 2 lines. The first line is labeled y equals 0.5 x plus 3.5 and passes through (negative 3, 1), (negative
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Response:

d

Detailed explanation:

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On a coordinate plane, solid circles appear at the following points: (negative 5, negative 3), (negative 4, negative 4), (negati
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Answer:

(1, -2)

Step-by-step explanation:

It’s important to note that the coordinates (1,3) and (1,-2) produce different outputs for the same x-axis value, indicating that this set does not fulfill the criteria for a function, but is rather a mere relation.

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8 hours ago
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