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lianna [129]
3 years ago
12

The graphs of linear functions f and g are shown. Enter the solution to the equation f(x)=g(x).

Mathematics
1 answer:
-Dominant- [34]3 years ago
4 0
<h3>Answer:  x = -3</h3>

The two diagonal lines cross at (-3,5). We only need to worry about the x coordinate here, so x = -3 is what we're after. If x = -3, then f(x) and g(x) have the same y output meaning f(x) = g(x). That y output is y = 5.

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What is the solution of the system of equations? y = –3x + 8 y = –5x – 2
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y=-3x+8 \\ y=-5x-2 \\  \\ -3x+8=-5x-2 \\ -3x+5x=-2-8 \\ 2x=-10 \\ x=- \frac{10}{2}  \\ x=-5 \\ y=-3(-5)+8=15+8=23  \\ \\ \boxed{-5,23}
6 0
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Please answer this correctly without making mistakes I want ace expert and genius people to answer this correctly without making
mart [117]
-4.9(-2)=9.8
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A city has a population of 400,000 people. Suppose that each year the population grows by 6.25%. What will the population be aft
Elena L [17]
6.25%=0.0625

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4 0
2 years ago
Environmentalists concerned about the impact of high-frequency radio transmissions on birds found that there was no evidence of
babunello [35]

Answer:

No, we cannot conclude anything about 0.10

Yes, they have made the same decision.

Step-by-step explanation:

Consider the provided information.

Part (A)

They based this conclusion on a test using α = 0.05. Would they have made the same decision at α = 0.10

A significance level of 0.05 indicates a 5% risk of concluding that a difference exists

From the normal table the critical value is Z(0.05) = 1.645 and we accept null hypothesis.

If α = 0.1, the critical value is Z(0.1)=1.28

1.28 is less than 1.645.

Therefore, we cannot conclude anything about 0.10

Part (B)

α = 0.01, the critical value is Z(0.01)=2.33

The critical value of α = 0.05 is 1.645 which is less than 2.33,

So we would again reject the null hypothesis.

Hence, they have made the same decision.

6 0
3 years ago
Danny charges $35 for 3 hours of swimming lessons.Martin charges $24 for 2 hours of swimming lessons.Who offeres a better deal?
I am Lyosha [343]

35/3 = 11.6/hr

24/2 = 12/hr


Danny has a slightly better deal

8 0
3 years ago
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