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erica [24]
3 years ago
10

Subtract the function f(x) = 6x -- 5 from the function g(x) = -2% +9.

Mathematics
1 answer:
densk [106]3 years ago
6 0

We want h(x) = g(x) - f(x).

h(x) = -2x + 9 -(6x - 5)

h(x) = -2x + 9 -6x + 5

h(x) = -8x + 14

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If y varies directly as x, and y =6 when x =10, find x when y=18
bonufazy [111]

Answer:

X=30

Step-by-step explanation:

y=kx

6=10k

k=0.6

y=0.6x

18=0.6x

X=18/0.6

x=30

7 0
3 years ago
The circumference of the inner circle is 44 ft. The distance between the inner circle and the outer circle is 3 ft. By how many
Citrus2011 [14]

Answer: 18.86 feet

Step-by-step explanation:

The formula for determining the circumference of a circle is expressed as

Circumference = πD

Where D represents the diameter of the circle.

The circumference of the inner circle is 44 ft. It means that

22/7 × D = 44

22D = 7 × 44 = 308

D = 308/22

D = 14 ft

The distance between the inner circle and the outer circle is 3 ft. This means that the diameter of the outer circle would be

14 + 3 + 3 = 20 ft

Circumference of the outer circle is

22/7 × 20 = 62.86 ft

The number of feet by which the circumference of outer circle is greater than the circumference of the inner circle is

62.86 - 44 = 18.86 feet

5 0
4 years ago
A study shows that, over the course of a lifetime, the average salary of college graduates is greater than the average salary of
iogann1982 [59]
Answer: The word "ensures" implies that it is certain.

In the case of the study, they simply found that the average salary is greater for college graduates. This doesn't mean that in every case the college graduate makes more money.

The problem is the word "ensures". Our study doesn't show certainty only a general pattern.
4 0
3 years ago
Read 2 more answers
You are determining the mass of an object using a triple beam balance. When the pointer is lined up with the zero mark, the ride
Molodets [167]
328 grams is the mass.
3 0
3 years ago
<img src="https://tex.z-dn.net/?f=%20%7B2%7D%5E%7Bx%20%2B%202%20%7D%20%20%3D%209%20%5Ctimes%28%20%20%7B2%7D%5E%7Bx%7D%20%29%20-%
nataly862011 [7]

Hello, please consider the following.

{2}^{x + 2 } = 9 \times( {2}^{x} ) - 2\\\\2^x \cdot 2^2=9\cdot 2^x-2\\\\(9-4)2^x = 2\\\\2^x=\dfrac{2}{5}\\\\\text{We take the ln.}\\\\xln(2)=ln(2)-ln(5)\\\\x=\dfrac{ln(2)-ln(5)}{ln(2)}=-1.32193...

Let me know if you need further explanation.

Thank you

7 0
3 years ago
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