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2 years ago

1. Use the distributive property to simplify. -7( y + 9) - (y + 4) I

Mathematics

1 answer:

Oduvanchick [21]2 years ago

4 0

Answer:

-8y-67

Step-by-step explanation:

-7(y+9)-(y+4) distribute

-7y-63-y-4 combine like terms

-8y-67

i believe this is the right answer :D

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Answer: 35 degrees

Step-by-step explanation: 180-145=35

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2 years ago

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The length of a basketball court is 84 feet and the perimeter is 268 feet. What is the width of the basketball court?

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268/84 is the correct answer

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2 years ago

A population of scores has µ = 50 and σ = 5. If every score in the population is multiplied by 3, then what are the new values

PilotLPTM [1.2K]

Answer:

The new mean = 3 × (the old mean) = 150

The new standard deviation is also = 3 × (The old standard deviation) = 15

Step-by-step explanation:

µ = 50 and σ = 5

The mean is the sum of variables divided by the number of variables.

Mean = (Σx)/N = µ = 50

x = each variable

N = number of variables

If each variable changed to 3x

Mean becomes

Mean = (Σ(3x))/N = 3 (Σx)/N = 3 × µ = 3 × 50 = 150.

The standard deviation is the square root of variance. And variance is an average of the squared deviations from the mean.

The standard deviation measures the rate of spread of the data set around the mean.

Standard deviation = σ = √[Σ(x - µ)²/N]

x = each variable

µ = mean

N = number of variables

If each variable changed to 3x

Recall µ changed to 3µ

Standard deviation = σ = √[Σ(3x - 3µ)²/N]

σ = √[Σ 3² (x - µ)²/N] = √[(3²)Σ(x - µ)²/N] = 3×√[Σ(x - µ)²/N] = 3 × σ = 3 × 5 = 15

If every score is multiplied by 3, it is logical to reason that the average of the new set of numbers also is 3× the old average.

And the new set of numbers spread out similarly around this new mean, only that the new space of spread is now 3× the old one.

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2 years ago

Which graph shows f(c)=0.5|x+3|-2

iVinArrow [24]

The graph that shows f(c)=0.5|x+3|-2 has been added in the attachment.

<h3>How to solve for the graph</h3>

We are given the equation to be f(x) = 0.5|x + 3| – 2

This equation above is an absolute value equation that was entered into a graphing calculator

The absolute value equation is represented by the values

f(x) = a|x - h| + k

in the equation above, h and k are the vertex of the graph

when we compare the absolute value equation with the equation we have in the question, we would have h = +3 and k = -2

Hence we would say that the vertex is 3 , -2.

When the graph was plotted, the vertex is the point that shows that meeting at a point in the point 3, - 2 are shown as the vertex also