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sasho [114]
3 years ago
10

Write an equation in slope-intercept form of the line with the given characteristics:

Mathematics
2 answers:
kobusy [5.1K]3 years ago
5 0

Answer:

1. y = -3x + 5

2. y = 1/4x - 2

Step-by-step explanation:

y=mx+b

1. 5 = -3(0) + b, so b = 5

y = -3x + 5

2. (-2-(-1))/(0-4) = -1/-4 = 1/4

-2 = 1/4(0) + b, so b = -2

y = 1/4x - 2

jeka943 years ago
5 0

Answer: -3x+5

                1/4x - 2

Step-by-step explanation:

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Ama's age is two thirds that of her elder sister. Four years ago ama's age was half the sister's. How old is the sister?
Westkost [7]

Answer:

12

Step-by-step explanation:

Ama's sister is 12 now and Ama is 8. 8/12 simplified is 2/3.

Four years ago Ama's would have been 4 and her sister would have been 8. 4/8 simplified is 1/2.

The equations:

(Ama is a)

(Ama's sister is s)

a = (2/3)s

a - 4 = (1/2)(s - 4)

Step one:

You would substitute the first equation into the second equation to get

(2/3)s - 4 = (1/2)(s - 4)

Step two:

Multiply by 6 to get rid of the fractions to get

4s - 24 = 3(s - 4)

Step three:

Simplify to get

4s - 24 = 3s - 12

Step four:

Subtract 3s and add 24 to get

s = 12

Step five:

Input the s value into the first equation to get

a = (2/3)(12) = 8

If this helped please rate, thanks, and mark brainliest! Also, please comment if it's correct :)

8 0
3 years ago
Read 2 more answers
Azarai is looking to purchase a new pair of basketball shorts costing $40. The New Jersey state tax rate is 7.5 percent. What fi
ratelena [41]

Answer:

$43.00

Step-by-step explanation:

final price = marked price + tax

= marked price + (tax rate) · (marked price)

= (marked pric) · (1 + tax rate)

= $40.00 · 1.075

= $43.00

7 0
3 years ago
A company launches 4 new products. The market price, in dollars, of the 4 products after a different number of years, x, is show
dem82 [27]

Product 4 after the third year is 27 which is higher than the rest after 3 years.

And because x is raised to the third, the amount would Increase by being raised to the 3rd every year.

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3 years ago
What’s x-b divided by a= c.. for b
aivan3 [116]

x-b:a=c\qquad|-x\\\\-\dfrac{b}{a}=c-x\qquad|\cdot(-a)\\\\b=-a(c-x)\\\\b=-ac-a(-x)\\\\\boxed{b=ax-ac}

3 0
3 years ago
Denise is making bean bags. She has 6.4 pounds of beans.
dezoksy [38]

Answer:

a) she be able to make 8 bags

b) she can make 16 bags.

Step-by-step explanation:

According to the exercise info Denise has 6.4 pounds of beans

<u>Solving question a </u>

 ⇒  if she makes each bean bag of 0.8 pounds and she has 6.4 pounds of beans, we can express this by using the three simply rule she needs to puts 6.4 pounds of beans in x quantity of bags of 0.8 pouns, so doing the division: 6. 4 pounds of beans / 0.8 pounds of beans per bag= 8 bags of 0.8 pounds of beans.

B- If she decides to make mini bean bags that are half as heave as the ohers bags, so now Denise is going to make bags of 0.8/2 = 0.4 pounds.

Doing the same procedure as question a, we can say that she has 6.4 pounds of beans and she needed to put these amount in a x quantity of 04 pounds bags. Doing the following division ⇒ 6.4 pounds of beans/ 0.4 pounds of beans per bag= 16 bags

 In conclusion she is going to make 16 bags of 0.4 pounds of beans.

 

5 0
3 years ago
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