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Kisachek [45]
3 years ago
8

F(x)=(x+7)^3 expand the function

Mathematics
2 answers:
nydimaria [60]3 years ago
4 0

Step-by-step explanation:

F(x) = (x + 7)³

= 3C0 * x³ + 3C1 * x² * 7 + 3C2 * x * 7² + 3C3 * 7³

= x³ + 21x² + 147x + 343.

daser333 [38]3 years ago
3 0

Answer:

f(x)=x^3+21x^2+147x+343

Step-by-step explanation:

f(x)=(x+7)(x+7)(x+7)

= f(x)=(x^2+14x+49)(x+7)

= f(x)=(x^3+14x^2+49x+7x^2+98x+343)

= f(x)=x^3+21x^2+147x+343

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Answer:

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2 years ago
The director of a state agency believes that the average starting salary for clerical employees in the state is less than ​$35 c
MrRissso [65]

Answer:

There is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

Step-by-step explanation:

We are given the following in the question:

Population mean, μ = 35,000 dollars per year

Sample mean, \bar{x} = 34,700 dollars per year

Sample size, n = 100

Alpha, α = 0.10

Population standard deviation, σ = 3,500 dollars per year

First, we design the null and the alternate hypothesis

H_{0}: \mu = 35,000\text{ dollars per year}\\H_A: \mu < 35,000\text{ dollars per year}

We use one-tailed z test to perform this hypothesis.

Formula:

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

Putting all the values, we have

z_{stat} = \displaystyle\frac{34700 - 35000}{\frac{3500}{\sqrt{100}} } = -0.8571

Now, z_{critical} \text{ at 0.10 level of significance } = -1.28

Since,  

z_{stat} > z_{critical}

We fail to reject the null hypothesis and accept the null hypothesis.

Thus, there is not enough evidence to conclude that  average starting salary for clerical employees in the state is less than ​$35,000 per year.

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jeffery plans to rent a beach house for his sister's birthday and will use his savings pay for it. The company charges a $25.00
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The charge will be $25 + ($10/h)(6 h) = $25 +60 = $85.

Jeffrey's savings will decrease by $85, so the net change is -$85.

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