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3 years ago

Question 5 of 10

Mathematics

2 answers:

maxonik [38]3 years ago

5 0

Step-by-step explanation:

(f + g)(x) = f(x) + g(x) = (4x² + 1) + (x² - 5) = 5x² - 4. (D)

Arisa [49]3 years ago

4 0

Answer:

D. 5x^2-4

Step-by-step explanation:

We are asked to find (f+g)(x), which is really just the sum of the two functions.

(f+g)(x)=f(x)+g(x)

We know the the functions are:

• f(x)= 4x^2+1

• g(x)=x^2-5

Substitute the functions in.

(f+g)(x)=(4x^2+1)+(x^2-5)

Add the functions by combining like terms. For this equation, the like terms are those with x^2 and the constants.

(f+g)(x)= (4x^2+x^2)+(1-5)

Add the terms with x^2

(f+g)(x)=(5x^2)+(1-5)

Add the constants or terms without variables.

(f+g)(x)=(5x^2)+(-4) = 5x^2-4

The sum of the functions is D. 5x^2-4

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Evaluate the expression x - 7, if x = 12.<br> 19<br> 17<br> 6<br> 5

SpyIntel [72]

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Expressions with variables are a mean to express the generic idea underneath the expression, rather than its particular value.

So, an expression like x-7 represents the idea of subtracting 7 from a particular number. Once you give a specific value to x, the expression will become an actual subtraction between numbers, and you will be able to compute its value.

So, we have several values for x, which are several ways to turn our "abstract" subtraction into an actual, computable subtraction.

If $x = 12$ , the expression becomes $12-7$ and it evaluates to $5$ .

If $x = 19$ , the expression becomes $19-7$ and it evaluates to $12$ .

If $x = 17$ , the expression becomes $17-7$ and it evaluates to $10$ .

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A plane flies x mph. How far can it go in y hours? Which expression represents this?

natali 33 [55]

Answer:

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Step-by-step explanation:

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3 years ago

(-5x + 4) - (3x2 – 7x + 4) simplified and written in standard form?

Ludmilka [50]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Employees from A and company B receive annual bonuses. What information would you need to test the claim that the difference in

lyudmila [28]

Answer:

1. The required information are

The average annual bonuses, $\bar {x}_1$ received by employees from company A

The average annual bonuses, $\bar {x}_2$ received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: $\bar {x}_1$ - $\bar {x}_2$ ≤ 100

The alternative hypothesis is Hₐ: $\bar {x}_1$ - $\bar {x}_2$ > 100

Step-by-step explanation:

1. The required information are

The average annual bonuses, $\bar {x}_1$ received by employees from company A

The average annual bonuses, $\bar {x}_2$ received by employees from company B

The standard deviation, σ₁, of the average annual bonuses for employees from company A

The standard deviation, σ₂, of the average annual bonuses for employees from company A

The number of employees in company A, n₁

The number of employees in company B, n₂

2. The null hypothesis is H₀: $\bar {x}_1$ - $\bar {x}_2$ ≤ 100

The alternative hypothesis is Hₐ: $\bar {x}_1$ - $\bar {x}_2$ > 100

The z value for the hypothesis testing of the difference between two means is given as follows;

$z=\dfrac{(\bar{x}_{1}-\bar{x}_{2})}{\sqrt{\frac{\sigma_{1}^{2} }{n_{1}}-\frac{\sigma _{2}^{2}}{n_{2}}}}$

At 0.5 level of significance, the critical $z_\alpha$ = ± 0

The rejection region is z > $z_\alpha$ and z < - $z_\alpha$

Therefore, the value of z obtained from the relation above more than or less than 0, we reject the null hypothesis, and we fail to reject the alternative hypothesis.

7 0

3 years ago

In order to solve the system of equations below, Harvey multiplies each equation by a constant to eliminate the x

Zina [86]

Answer:

14x + 6y = 10

14x + 35y = -77

Step-by-step explanation:

Multiply the top one by 2

14x + 6y = 10

Multiply the bottom one by 7

14x + 35y = -77

His next step is to subtract. You could have done this by multiplying the top one by -2

-14x - 6y = - 10

14x + 35y = -77 Now all you need do is add. The question now becomes what do you do? What answer do you give? I think the expected answer is the top two equations, but if I was actually doing the problem, I'd use the bottom 2.

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