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Lynna
2 months 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 [12.4K]2 months 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 [12.7K]2 months 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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Answer: F(x) > 0 in the ranges (-0.7, 0.76) and (0.76, ∞).

I hope this is useful:)

5 0
24 days ago
Read 2 more answers
Z^5=-7776i
Inessa [12570]
For the equation Z^5=-7776i, we deduce that Z=+6.
7 0
16 days ago
Which of the following functions is graphed below?
PIT_PIT [12445]

Answer:

D.

Step-by-step explanation:

This function is piece-wise, meaning you will have two equations along with distinct domains. The equation x squared plus 3 illustrates a parabolic curve, while x plus 4 is depicted as a linear function. There is a specific reason why the point on the parabola is open at x equals 4; this signifies that the value does not satisfy the equation. Therefore, x cannot equal 4 for the parabola, so its domain is x less than 4. The closed point on the linear function indicates that when x is 4, it is part of the solution for that equation and graph. Consequently, the domain for the linear function is x greater than or equal to 4. Hope this clarifies things!

8 0
1 month ago
What is the value of x in the equation 4 x plus 8 y equals 40, when y equals 0.8? 4.6 8.4 10 12What is the value of a in the equ
AnnZ [12381]

Answer:

1. 8.4 2. 15

Step-by-step explanation:

1. 4x + 8y = 40

when y = 0.8

4x + 8 × 0.8 = 40

4x = 40 - 8 × 0.8

4x = 40 - 6.4 = 33.6

....x = 33.6 / 4 = 8.4

2. 3a + b = 54

when b = 9

3a + 9 = 54

3a = 54 - 9

3a = 45

.....a = 45 / 3 = 15

please rate me

8 0
1 month ago
Read 2 more answers
Use this information to find the value of b.<br><br><br>c = 25<br><br>s = 9<br><br><br>b = 4c - s2
PIT_PIT [12445]
Greetings!

Let's rewrite the equation:
b = 4c - s².
Plug in your values:
b = 4(25) - (9)²
Now simplify:
4 times 25 equals 100
9 squared equals 81
So, b = 100 - 81
Calculate:
100 minus 81 equals 19
b is 19.

I hope this helps!
<span>Best of luck:) </span>

<span>- Hannah ❤</span>
3 0
1 month ago
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