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2 years ago

(x)=6x+2 g(x)=−5x−9 Find the product of f and g. Select one: a. −30x2+64x−18 b. −30x2−18 c. −30x2−44x−18 d. −30x2−64x−18

Mathematics

1 answer:

Hunter-Best [27]2 years ago

7 0

Answer:

D) -30x^2 -64x -18

Step-by-step explanation:

Given:

f(x) = 6x +2 and g(x) = -5x - 9

f(x).g(x) = (6x + 2) (-5x - 9)

Use distributive property

= 6x(-5x -9) + 2(-5x - 9)

= -30x^2 - 54x - 10x -18

= -30x^2 -64x - 18

Answer: d) -30x^2 -64x -18

Thank you.

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The lines below are perpendicular. If the slope of the green line is 3/2, what is the slope of the red line?

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Answer:

-2/3

Step-by-step explanation:

Perpendicular slopes have lines that multiply to -1

m* 3/2 = -1

Multiply each side by 2/3

m* 3/2 * 2/3 = -1 * 2/3

m = -2/3

The slope of the perpendicular line is -2/3

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3 years ago

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The mean caloric intake of an adult male is 2800 with a standard deviation of 115. To verify this information, a sample of 25 me

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Answer:

Step-by-step explanation:

We would use the t- distribution.

From the information given,

Mean, μ = 2950

Standard deviation, σ = 115

number of sample, n = 25

Degree of freedom, (df) = 25 - 1 = 24

Alpha level,α = (1 - confidence level)/2

α = (1 - 0.98)/2 = 0.01

We will look at the t distribution table for values corresponding to (df) = 24 and α = 0.01

The corresponding z score is 2.492

We will apply the formula

Confidence interval

= mean ± z ×standard deviation/√n

It becomes

2950 ± 2.492 × 115/√25

= 2950 ± 2.492 × 23

= 2950 ± 57.316

The lower end of the confidence interval is 2950 - 57.316 =2892.68

The upper end of the confidence interval is 2950 + 57.316 = 3007.32

The solution is correct.

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3 years ago

I wished I’d bought the game last week for $199.00. I missed the sale, and now it’s an additional 25%. What will it cost me now

kumpel [21]

199•25%=49.75
49.75+199=248.75
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18.65625+248.75=267.40625
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3 years ago

3. The perimeter of a rectangular playing field is 504 yards. The area of the

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The perimeter is twice the sum of the length and the width:

$P = 2(w+l)$

The area is the product of the dimensions:

$A = wl$

So, the system is

$\begin{cases}w+l=504\\w\cdot l=14276\end{cases}$

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3 years ago

the performance score of 10 adults is recorded, and the results are 83 87 90 92 93 100 104 111 115 121 find the standard deviati

luda_lava [24]

Answer:

The standard deviation of the data set is $\sigma = 12.7906$ .

Step-by-step explanation:

The Standard Deviation is a measure of how spread out numbers are. Its symbol is σ (the greek letter sigma)

To find the standard deviation of the following data set

$\begin{array}{cccccccc}83&87&90&92&93&100&104&111\\115&121&&&&&&\end{array}$

we use the following formula

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} }$

Step 1: Find the mean $\left( \overline{X} \right)$ .

The mean of a data set is the sum of the terms divided by the total number of terms. Using math notation we have:

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}$

$Mean = \frac{Sum ~ of ~ terms}{Number ~ of ~ terms}=\frac{83+87+90+92+93+100+104+111+115+121}{10} \\\\Mean = \frac{996}{10} =\frac{498}{5}=99.6$

Step 2: Create the below table.

Step 3: Find the sum of numbers in the last column to get.

$\sum{\left(x_i - \overline{X}\right)^2} = 1472.4$

Step 4: Calculate σ using the above formula.

$\sigma = \sqrt{ \frac{ \sum{\left(x_i - \overline{X}\right)^2 }}{n-1} } = \sqrt{ \frac{ 1472.4 }{ 10 - 1} } \approx 12.7906$

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3 years ago