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Art [367]
3 years ago
15

Write an equation in slope intercept form of the line that passes through the point (-5, -1) with slope -3.

Mathematics
1 answer:
Neporo4naja [7]3 years ago
3 0

Answer:

y= -3x-16

Step-by-step explanation:

slope intercept form is written as y=mx+b.  m is the slope, and b is the y-intercept.  -3=m

we know that (-5,-1) is 5 points away from the origin, and that the slope is -3, so 5 times -3 equals -15.  subtract 15 from -1 (y-coordinate) in order to get the y-intercept (when x=0).  

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The sum of 237 and six times the opposite of a number is 405. What is the number?
IgorC [24]
The number is 28.

The equation would be:

237 + 6(x) = 405

The problem states that 6 times the opposite of a number, however, since the number sign was not given, we do not know whether it is in a positive or negative form. So we leave it as only x.

237 +  6x = 405
6x = 405 - 237
6x = 168
6x / 6 = 168 / 6
x = 28

To check:

237 + 6 (28) = 405
237 + 168 = 405
405 = 405
8 0
3 years ago
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A diagram of a small shed is shown below. Find the volume of the composite figure.
tekilochka [14]

Answer:

290m

Step-by-step explanation:

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290

4 0
3 years ago
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1. Which procedure could be used to graph the line represented by the following equation? Y=1/2x+3
Alinara [238K]
A is the easiest way to graph the equation
7 0
4 years ago
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10p^8 divided by 5p^4
REY [17]

Answer:

\sf \cfrac{10p^8}{5p^4}

Factor: \sf 10= 5\times 2

\sf \cfrac{5\times \:2p^8}{5p^4}

Cancel common factor:- 5

\sf \cfrac{2p^8}{p^4}

Use the Quotient Rule:

\sf 8-4=4

\boxed{\sf 2p^4}

6 0
3 years ago
A label prints in the pediatric pharmacy
Elden [556K]

Answer:

107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.

Step-by-step explanation:

Since a label prints in the pediatric pharmacy satellite for 500 mL of dextrose 15% solution, but this concentration is not available commercially and needs to be compounded, and available in your pharmacy, you have a 1 L bag of sterile water and a 1 L bag of dextrose 70% available to compound the solution, to determine how many mLs of each are needed to make the requested solution, the following calculation must be performed:

500 x 0.15 = 75

100 x 0.70 = 70

A x 0.70 = 75

A = 75 / 0.70

A = 107.14

Therefore, 107.14 ml of 70% dextrose and 392.86 ml of sterile water should be used.

5 0
3 years ago
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