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3 years ago

15 POINTS HURRY Write an expression that is equivalent to 5 3 r - 8 2

1 answer:

4 0

3 + 2 = r - 8
Add 3 + 2
5 = r - 8
Add 8 to 5 while canceling it out
13 = r
3 + 2 = 5
R =13
13 - 8 = 5
That is a true statement so an expression would be
3 + 2 = r - 8

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Choose the equation below that represents the line passing through the point (1, -4) with a slope of 1/2

tatiyna

For this case we have that by definition, the line equation of the slope-intersection form is given by:

$y = mx + b$

Where:

m: It's the slope

b: It is the cut-off point with the y axis

According to the statement we have:

$m = \frac {1} {2}$

Thus, the equation is of the form:

$y = \frac {1} {2} x + b$

We substitute the given point and find "b":

$-4 = \frac {1} {2} (1) + b\\-4 = \frac {1} {2} + b\\-4- \frac {1} {2} = b\\b = - \frac {9} {2}$

Finally, the equation is of the form:

$y = \frac {1} {2} x- \frac {9} {2}$

Answer:

$y = \frac {1} {2} x- \frac {9} {2}$

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3 years ago

A rectangular poster is to contain 882 square inches of print. The margins at the top and bottom of the poster are to be 2 inche

Zinaida [17]

Answer:

L = 23 in

h = 46 in

Step-by-step explanation:

Let call " x " and " y " dimensions of the print area of the poster then:

882 = x*y and y = 882/x

We also know that dimensions of the poster is:

L = x + 2 in and h = y + 4 in

Therefore area of the poster is:

A(p) = ( x + 2 ) * ( y + 4 ) And area as function of x is:

A(x) = ( x + 2 ) * ( 882/x + 4 )

A(x) = 882 + 4*x + 1764 /x + 8

Taking derivatives on both sides of the equation we have:

A´(x) = 4 - 1764/x²

A´(x) = 0 ⇒ 4 - 1764/x² = 0 ⇒ 4*x² - 1764 = 0

x² = 1764 / 4

x² = 441

x = 21 in and y = 882/x y = 42

The second derivative A´´(x) is > 0 ( the second term changes its sign to +) there is a minimum for the function at the point x = 21

As x and y are dimensions of the printing area of the poster, dimensions of the poster are

L = x + 2 = 21 + 2 = 23 in and

h = y + 4 = 42 + 4 = 46 in

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4 years ago

Which is NOT true about a direct proportion?

Nina [5.8K]

Answer:

Because it is acorrding to question answer

7 0

3 years ago

Read 2 more answers

the long jump pit was recently rebuilt to make it level with the runway. Volunteers provided pieces of wood to frame in the pit.

Keith_Richards [23]

Answer:

Step-by-step explanation:

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4 years ago

Kenny wants to learn how to serve overhand in volleyball. When he practiced yesterday, he made 7 serves over the net for every 2

Yakvenalex [24]

Answer: 28

Step-by-step explanation:

Given

Kenny made 7 serves over the net for every 2 serves that did not go over the net i.e. success rate of Kenny is

$\Rightarrow \text{success rate}=\dfrac{7}{2+7}\times 100=\dfrac{700}{9}\%$

for 36 serves, applying the same success rate, it is

$\Rightarrow \text{success rate}=\dfrac{700}{9}\times\dfrac{1}{100}\times 36=28$

Serves that did not make over the net is $36-28=8$

Thus, Kenny will make 28 serves that make over the net

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3 years ago