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Alexandra [31]
3 years ago
14

Apply the distributive property to simplify the expression-4(5x +2)

Mathematics
2 answers:
Art [367]3 years ago
8 0

Answer:

-20x-8

Step-by-step explanation:

Apply the distributive property: a(b + c) = ab + ac

Sedaia [141]3 years ago
7 0

Answer:

−20x − 8

Step-by-step explanation:

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In two or more complete sentences, describe why the range of y = sin(x) is -1 ≤ y ≤ 1. Make sure to reference the unit circle in
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The unit circle is a circle that is centered at the origin (0,0). The highest that it will go in terms of y is y = 1. The lowest y value is y = -1. So that's why y = sin(theta) is restricted in that manner. The sine function applies the ratio of the opposite site to the hypotenuse. For the unit circle, the hypotenuse is 1 since the radius is 1. Check out the image attachment for a reference drawing. The segment in red is the value of sin(theta) while the blue segment is the hypotenuse of 1. Dividing the red segment length over the blue segment length gets us sin(theta).

In short, the sine theta value is the height of the red segment point that sits on the unit circle. The highest that point goes is y = 1; the lowest it goes is y = -1.

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3 years ago
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5(x + 1) - 8 = 5x(2-4)<br><br> what is the value of x?<br><br> a. -5<br> b. -1/5<br> c. 5<br> d. 1/5
Harlamova29_29 [7]

Answer:

d) 1/5

Step-by-step explanation:

5(x + 1) - 8 = 5x(2-4)

5x+5-8 = 5x(-2)

5x-3=-10x

15x = 3

x = 1/5

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3 years ago
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How many solutions does 8 + x/6 = x/6 - 4 + 5x/12 have?
vladimir2022 [97]
Am not sure but I think is c
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A shop has determined that the number of bottles of water they sell on a summer day is a function of the day’s high temperature,
lakkis [162]

Answer:

\large\boxed{\large\boxed{T=t+94}}

Explanation:

To find the expression of the<em> high temperature of the day (T) as a function of the day (t)</em>, analyze the trend shown on the table.

The data in the column of the day (t) increases by 1, and the the data in the column of the high temperature increases by 1.

Thus, the slope is 1ºF per day.

The point-slope form of the equation of a  line is:

         y-y_1=m(x-x_1)

Where m is the slope and y₁, x₁ are the coordinates of any point on the line.

Using the point (2, 96) you get:

          y-96=1(x-2)\\\\y-96=x-2\\\\y=x-2+96\\\\y=x+94

Using the names T and t for y and x, respectively:

         T=t+94

7 0
3 years ago
On April 1, the price of gas at Bob's Corner Station was $3.35 per gallon. On May 1, the price was $3.85 per gallon. On June 1,
Zina [86]
<h2>Answer:</h2>

1. Between April 1 and May 1, Bob's price incrdased by <u>$0.50 or 15%</u>.

2. Between May 1 and June 1, Bob's price decreased by <u>$0.50 or 13%</u>.

3. Suppose that atgas station across the street, prices are always 20% higher than Bob's. In absolute dollar terms, the difference between Bob's prices and the prices across the street is <u>$0.1 more expensive</u> when gas costs $3.85 than when gas costs $3.35.

4. Suppose the Fed raises the target for the federal fundsb rate from 2% to 2.25%. This change of percentage points means that the Fed raised its target by approximately <u>0.25%</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Between April 1 and May 1, Bob's price incrdased by...</h3>

<em>Take the difference of the prices to find an absolute value:</em>

$3.85 - $3.35= $0.50.

<em>Use the following formula to find the relative value:</em>

C= |Original value - New value|/ Original value

C=\frac{|OV-NV|}{OV}=\frac{|3.35-3.85|}{3.35}  =0.15=15%.

<h3>2. Between May 1 and June 1, Bob's price decreased by...</h3>

<em>Take the difference of the prices to find an absolute value:</em>

$3.85 - $3.35= $0.50.

<em>Use the following formula to find the relative value:</em>

C= |Original value - New value|/ Original value

C=\frac{|OV-NV|}{OV}=\frac{|3.35-3.85|}{3.85}  =0.13=13%.

<h3>3. Suppose that atgas station across the street, prices are always 20% higher than Bob's. In absolute dollar terms, the difference between Bob's prices and the prices across the street is (blank) when gas costs $3.85 than when gas costs $3.35.</h3>

<em>In this question we are looking for the difference of a difference. </em>

<em>If the proces across the street are always 20% higher, to find how much the gallon costs just multiply the price by 1.20, to increase 0.2 or 20%:</em>

$3.85 * 1.20= $4.62.

<em>Now, to see how much expensive this price is compared to Bob's, take de difference between the prices:</em>

$4.62 - $3.85= $0.77.

<em>Do the same to find the difference between the gas prices when the price is $3.35.</em>

$3.35 * 1.20= $4.02.

$4.02 - $3.35= $0.67.

Now, find the difference of those differences:

$0.77 - $0.67= $0.1.

<h3>4. Suppose the Fed raises the target for the federal funds rate from 2% to 2.25%. This change of percentage points means that the Fed raised its target by approximately (blank).</h3>

<em>Find the difference between percentages:</em>

2.25% - 2%= 0.0225 - 0.02= 0.0025= 0.25%.

<em>Simpler method:</em>

2.25% - 2%= 0.25%.

3 0
2 years ago
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