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Dimas [21]
3 years ago
12

Find the value of this expression if x=-7 x^2+5/x+1

Mathematics
1 answer:
Ugo [173]3 years ago
4 0

Answer:

-9

Step-by-step explanation:

Substitute -7 for x. So we get ((-7)^2+5)/(-7+1). We start with the exponent. (-7)^2 is 49. Then we add 5 to that, and get 54. -7+1 is -6. So we have 54/-6, which is equal to -9.

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spayn [35]

Answer:

2

Step-by-step explanation:

3 0
4 years ago
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Brainliest + Points!
sukhopar [10]

Answer:

FICA tax should his employer withhold be $24.92 .

Option (D) is correct .

Step-by-step explanation:

As given

Bill’s FICA tax is 7.65% of his earnings of 325.78 per week.

7.65 % is written in the decimal form.

= \frac{7.65}{100}

= 0.0765

FICA tax price = 0.0765 × Earning of a week

Putting values in the above

FICA tax price = 0.0765 × 325.78

                         = $ 24.92 (Approx)

Therefore the  FICA tax should his employer withhold be $24.92 .

Option (D) is correct .

4 0
4 years ago
Use the given data to find the 95% confidence interval estimate of the population mean μ. Assume that the population has a norma
loris [4]

Answer: For 95% Confidence Interval:

Upper Limit = 110.2

Lower Limit = 97.8

95% Confidence Interval = [97.8, 110.2]

Step-by-step explanation:

Given that,

Mean(M) = 104

Standard Deviation(SD) = 10

Sample Size(n) = 10

Formula for calculating 95% Confidence Interval are as follows:

Standard error(SE) =\frac{SD}{\sqrt{n} }

                         = \frac{10}{\sqrt{10} }

                         = 3.164

⇒ M ± Z_{0.95} × SE

= 104 ± (1.96)(3.164)

= 104 ± 6.20

∴ Upper Limit = 104 + 6.20 = 110.2

   Lower Limit = 104 - 6.20 = 97.8

So,

95% Confidence Interval = [97.8, 110.2]

6 0
3 years ago
What is the property of it
Olenka [21]

Answer:

Commutative Property of Addition

Step-by-step explanation:

The commutative property of addition says that changing the order of addends does not change the sum. This is what the problem is doing.

8 0
4 years ago
Read 2 more answers
How to solve for first derivative?? I have two questions, one where I have the answer, however one where I don’t. The format of
rjkz [21]

Answer:

Q1: f'(x) = (-6x^8 + 2x^4 + 4)(48x^7) + (6x^8)(-48x^7 + 8x^3)

Q2: f'(x) = (6x^4)(18x^2 - 54x^8) + (6x^3 - 6x^9 + 3)(24x^3)

Step-by-step explanation:

The derivative of the product of two functions is:

f(x) = v(x)u(x)

f'(x) = v(x)u'(x) + u(x)v'x)

The derivative is the product of the first function and the derivative of the second function added to the product of the second function and the derivative of the first function.

Q1: The function you are given is:

f(x) = 6x^8(-6x^8 + 2x^4 + 4)

You can think of that function as the product of functions

u(x) = 6x^8 and v(x) = -6x^8 + 2x^4 + 4

We first find the derivatives of functions u and v:

u'(x) = 48x^7 and v'(x) = -48x^7 + 8x^3

Now we follow the rule above:

f'(x) = v(x)u'(x) + u(x)v'x)

f'(x) = (6x^8)(-48x^7 + 8x^3) + (-6x^8 + 2x^4 + 4)(48x^7)

Use the commutative property to change the order of the sum.

f'(x) = (-6x^8 + 2x^4 + 4)(48x^7) + (6x^8)(-48x^7 + 8x^3)

This is the solution you have.

Q2: The function you are given is:

f(x) = 6x^4(6x^3 - 6x^9 + 3)

You can think of that function as the product of functions

u(x) = 6x^4 and v(x) = 6x^3 - 6x^9 + 3

We first find the derivatives of functions u and v:

u'(x) = 24x^3 and v'(x) = 18x^2 - 54x^8

Now we follow the rule above:

f'(x) = v(x)u'(x) + u(x)v'x)

f'(x) = (6x^4)(18x^2 - 54x^8) + (6x^3 - 6x^9 + 3)(24x^3)

5 0
3 years ago
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