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7nadin3 [17]
2 years ago
14

What is the slope-intercept form of the following equation? 10x + 4y = 16 options: a.) y =−5/2x + 16 b.) y = −5/2x + 4 c.) 4y =−

10x + 16 d.) y = −10x + 16
Mathematics
2 answers:
IgorLugansk [536]2 years ago
8 0

Answer:

y=-\frac{5}{2}x+4

Step-by-step explanation:

we know that

The equation of the line in slope intercept form is equal to

y=mx+b

where

m is the slope

b is the y-intercept

we have

10x+4y=16

Solve for y

That means -----> isolate the variable y

Subtract 10x both sides

4y=16-10x

Divide by 4 both sides

y=(16-10x)/4

Simplify

y=4-\frac{5}{2}x

Rewrite

y=-\frac{5}{2}x+4

ira [324]2 years ago
6 0

Answer:

The answer is option (b), y=-5/2x+4

Step-by-step explanation:

The slope intercept form is a way of expressing the equation of a straight line;  where there are two variables that vary in a linear form. The equation is always of the form; y=mx+c

Where;

  • y and x represents the variables on the y and x axis respectively
  • m is a real number representing the slope
  • c is also a real number representing the y-co-ordinate, where the line intercepts the y-axis

Solving for y in 10x+4y=16

(4y)/4=(-10x)/4+(16/4)

The answer is y=-5/2x+4, option (b)

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Mr. Bray prepares a list of 43 US presidents, 8 of whom died in office. Then 18 of his students each select a
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1 year ago
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Abel is making brownies for a bake sale. The recipe shows the amount of each ingredient needed to make 9 brownies. Complete each
mixas84 [53]

Answer:

In order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

Step-by-step explanation:

As the recipe is missing in this question, the recipe is found online which given following information

  • Abel needs 5 cups of flour to make brownies.
  • If Abel uses 4 cups of sugar.
  • he will need to use 2 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 1 egg.

Abel has to make 45 brownies for the sale, this is also missing in this question, however is given in the reference question linked here.

This recipe is to make 9 brownies. Now for 45 brownies the multiplier is found as 45/9=5. So by multiplying quantity of all the ingredients by 5, Abel will be able to make 45 brownies.

Now  in order to make 45 brownies

  • Abel needs 5*5 =25 cups of flour to make brownies.
  • If Abel uses 5*4=20 cups of sugar.
  • he will need to use 5*2=10 cups of cocoa powder.
  • The recipe will make brownies if Abel uses only 5*1=5 egg.

So in order to make 45 brownies, Abel needs 25 cups of flour, 20 cups of sugar, 10 cups of cocoa powder and 5 eggs.

5 0
2 years ago
The heights of the trees for sale at two nurseries are shown below. Heights of trees at Yard Works in feet : 7, 9, 7, 12, 5 Heig
Troyanec [42]

Answer:

The mean of tree heights at Yard Works is 8 feet and at Grow Station is 9 feet.The mean absolute deviation of the tree heights at both yards is 2.

Step-by-step explanation:

1). Height of the trees at Yard Works are = 7,9,7,12,5 feet

So mean height of the trees = (7+9+7+12+5)÷5

                                               = 40÷5 =8 feet

Standard deviation of the trees at Yard works = ∑(║(height of the tree-mean height of the tree))║/(number of trees)

(height of the tree-mean height of the tree)= ║(7-8)║+║(9-8)║+║(7-8)║+║(12-8)║+║(5-8)║ = (1)+1+(1)+4+(3)= 10

Therefore standard deviation = (10)/(5) =2

2). In the same way mean height of the trees at Grow Station=(9+11+6+12+7)/5= 45/5 = 9

Now we will calculate the mean deviation of the tress at Grow Station

= ∑║(height of the tree-mean height of the tree)║/(number of trees)

= ║(9-9)║+║(11-9)║+║(6-9)║+║(12-9)║+║(7-9)║/(5)

= (0+2+3+3+2)/5

= 10/5 =2

Therefore The mean of tree heights at Yard Works is 8 feet and at Grow Station is 9 feet.The mean absolute deviation of the tree heights at both yards is 2.

                                                             

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Lelechka [254]

Answer: I am pretty sure it is y=-1/4x-8. Hope this helps!

Step-by-step explanation:subtract the 2x from both sides which gives you 8y=-2x-64. Then you want to divide both sides by 8 to get y=-1/4x-8

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