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Flura [38]
3 years ago
15

Which equation represents the line containing (0,-2) and (2,-1)?

Mathematics
1 answer:
77julia77 [94]3 years ago
8 0

Answer:

The answer is A.

Step-by-step explanation:

You can make a test by substituing x-coordinate into the equation :

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

let \: x = 0

y =  \frac{1}{2} (0) - 2

y =  - 2 \: (correct)

let \: x = 2

y =  \frac{1}{2} (2) - 2

y = 1 - 2

y =  - 1 \: (correct)

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Choose the equation that represents the line that passes through the point (2, 6) and has a slope of −5.
Luden [163]

Answer:

y=-5x+16

Step-by-step explanation:

Plug in the slope and point coordinates into point-slope form (attached in image)

(y-6)=-5(x-2)

1) Distribute -5 to x and -2:

y-6=-5x+10

2) Add 6 to both sides:

y=-5x+16

4 0
3 years ago
Read 2 more answers
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Travka [436]

Answer:

D.

Step-by-step explanation:

Ape x.

5 0
2 years ago
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A farmer finds that if she plants 85 trees per acre, each tree will yield 80 bushels of fruit. She estimates that for each addit
vova2212 [387]

Answer:

52 Trees

Step-by-step explanation:

If she plants 85 trees per acre, each tree will yield 80 bushels of fruit.

Yield = 85 X 80

Let x be the additional tree planted per acre.

For each additional tree planted per acre, the yield of each tree will decrease by 4 bushels.

Therefore, the yield:

F(x)=(85+x)(80-4x)\\F(x)=6800-260x-4x^2

Next, we maximize F(x) by taking its derivatives and solving for its critical point.

F'(x)=-260-8x\\$Setting $F'(x)=0,$ we have:$\\-260-8x=0\\8x=-260\\$Divide both sides by 8$\\x=-32.5

F''(x)=-8, $therefore we have a maximum

It is apparent that she currently has too many trees per acre. To get a maximum harvest, she needs to reduce the number of trees by approximately 32.5 trees.

Therefore, number of trees per acre she should plant:

85+(-32.5)

=85-32.5

=52.5 Trees

Since the number of trees can only be an integer and it cannot be greater than 52.5, the number of trees to be planted per acre to maximize her harvest is 52.

5 0
4 years ago
What is the total lifetime cost for a loan had a principal of $5,500, an interest rate of 7.5% compounded monthly, and a duratio
Marizza181 [45]

Answer: the total lifetime cost for the loan is $11616.4

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total cost of the loan at the end of t years.

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount borrowed.

From the information given,

P = $5,500

r = 7.5% = 7.5/100 = 0.075

n = 12 because it was compounded 12 times in a year.

t = 10 years

Therefore,

A = 5500(1 + 0.075/12)^12 × 10

A = 5500(1 + 0.00625)^120

A = 5500(1.00625)^120

A = $11616.4

7 0
3 years ago
Has to do with slopes please help
Phantasy [73]
1. y=-2x+3

You have to take the y-intercept of the slope (when x is zero) and the actual slope itself.
4 0
3 years ago
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