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3 years ago

Which graph represents the function f(x)=0.25x+5

Mathematics

1 answer:

FinnZ [79.3K]3 years ago

8 0

Answer:

Option D.

Step-by-step explanation:

Consider the given function

$f(x)=0.25^x+5$

We need to find the graph of given function.

Substitute x=0 in the given function to find the y-intercept of the function.

$f(0)=0.25^(0)+5$

$f(0)=1+5$

$f(0)=6$

So, y-intercept of the function is 6.

$(0.25)^x\rightarrow \infty$ as $x\rightarrow -\infty$

$(0.25)^x\rightarrow 0$ as $x\rightarrow \infty$

We can concluded that

$f(x)\rightarrow \infty$ as $x\rightarrow -\infty$

$f(x)\rightarrow 5$ as $x\rightarrow \infty$

Therefore, the correct option is D.

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Conduct the appropriate hypothesis test and compute the test statistic. A company that produces fishing line undergoes random te

andre [41]

Answer:

Option D) Yes, because the test statistic is -2.01

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 30 pound

Sample mean, $\bar{x}$ = 29.1 pounds

Sample size, n = 20

Alpha, α = 0.05

Sample standard deviation, s = 2 pounds

First, we design the null and the alternate hypothesis

$H_{0}: \mu = 30\text{ pounds}\\H_A: \mu < 30\text{ pounds}$

We use one-tailed(left) t test to perform this hypothesis.

Formula:

$t_{stat} = \displaystyle\frac{\bar{x} - \mu}{\frac{\sigma}{\sqrt{n}} }$

Putting all the values, we have

$t_{stat} = \displaystyle\frac{29.1 - 30}{\frac{2}{\sqrt{20}} } = -2.012$

Now,

$t_{critical} \text{ at 0.05 level of significance, 19 degree of freedom } = -1.729$

Since,

$t_{stat} < t_{critical}$

We fail to accept the null hypothesis and reject it. We accept the alternate hypothesis. Thus, there were enough evidence to conclude that the fishing line breaks with an average force of less than 30 pounds.

Option D) Yes, because the test statistic is -2.01

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4 years ago

If rs=st the point s is called the midpoint of rt?

SIZIF [17.4K]

S is the midpoint of RT

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3 years ago

10 POINTS WILL MARK BRAINLIEST <br>Find the restriction on y=2x^2-8

borishaifa [10]

X cannot equal +2, and can't be -1. If you factor it, then you notice you get 2(x+2)(x-2). If you use either one for the x, one will be zero and the won't, and vise-versa.

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3 years ago

Find the indicated values where g(t)=t^2-t and f(x)=1+x g(f(0))+f(g(0))

Blababa [14]

Answer:

Step-by-step explanation:

First find f(0) and g(0). These are the values where x=0 in each function.

f(0) = 1+0 = 1

g(0) = 1^2 - 1 = 1-1 = 0

So f(0) = 1 and g(0) = 0.

Now substitute f(0) = 1 into g(t).

g(1) = 1^2 -1 = 1-1 = 0.

So g(f(0)) = 0.

Now substitute g(0) = 0 into f(t).

f(0) = 1 + 0 = 1.

So f(g(0)) = 1.

Add the values 0 and 1 to get 0+1 = 1.

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3 years ago

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I WILL MARK AS BRAINLIEST! Solve for Y

zzz [600]

Answer:

See below.

Step-by-step explanation:

Substitute the value for the variable and solve.

a.)

⇒ y = -5(3) + 17

⇒ y = -15 + 17

⇒ y = 2

b.)

⇒ y = 3(3) - 22

⇒ y = 9 - 22

⇒ y = -13

c.)

⇒ y = 2(3) - 25

⇒ y = 6 - 25

⇒ y = -19

d.)

⇒ y = 6(3) - 39

⇒ y = 18 - 39

⇒ y = -21

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3 years ago

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