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zhuklara [117]
3 years ago
15

Help? >K12<

Mathematics
1 answer:
weqwewe [10]3 years ago
3 0
The correct answer is a) Amy's solutions are correct.

Since she wanted the intersection point of the equations, she had to set them equal.  Once she did she had

x²+3x-5=4x+1

Gathering the variables on one side of the equation, she subtracted 4x from each side:
x²+3x-5-4x=4x+1-4x
x²-x-5=1

Quadratics should be equal to 0 when we solve them, so she subtracted 1 from each side:
x²-x-5-1=1-1
x²-x-6=0

She then factored her expression; factors of -6 that sum to -1 are -3 and 2:
(x-3)(x+2)=0

Using the zero product property we know that either x-3=0 or x+2=0; therefore x=3 or x=-2.
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Help me pls i dont understand this
vazorg [7]

Step-by-step explanation:

Notice that:

15x = 5 * 3x and 10y = 5 * 2y.

Since there is a common factor of 5,

we can take out the factor.

=> 15x + 10y = (5)(3x) + (5)(2y) = 5(3x + 2y).

6 0
2 years ago
A small pond has a roughly rectangular shape. It is 22.3 kilometers wide and 24.5 kilometers long. Shrinking water levels are re
bonufazy [111]

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A

Step-by-step explanation:

3 0
3 years ago
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Isaac wants the equation below to have no solution when the missing number is placed in the box.
MatroZZZ [7]

Answer: 4

Step-by-step explanation: To have an equation with no solution you have to get something like 0=1 meaning you have to remove all the variables. In this equation you would distribute to get xy+2y+2x=2x+12+4x where y is the missing number. then combining like terms you get xy+2x+2y=6x+12. Subtracting 2x from both sides you get xy+2y=4x+12. Now to get the variables gone y has to be 4 so that the variables to cancel out. By plugging in 4 you can see this works; 4x+8=4x+12 and by subtracting 4x from both sides you get 8=12 which is not true meaning there is no solution.

8 0
3 years ago
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1. Peyton has a credit card with an annual rate of 24.7% compounded monthly. She used the credit card to purchase cleaning suppl
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Answer:

Total interest = $3.41

Step-by-step explanation:

Since she can pay $72 each month we can divide the payments on monthly basis till all the money is paid.

The annual interest rate is 24.7%, so the monthly rate will be 24.7 ÷ 12= 2.058%

For the first month

With payment of $72 the remaining amount will be 189.56 - 72 = $117.56

Interest paid will be 0.02058 * 117.56 = $2.42

Total amount owed now will be 117.56 + 2.42 = $119.98

For the second month another payment of $72 is made

The remaining will be 119.98 - 72 = $47.98

Interest charged will be 0.02058 * 47.98 = $0.99

The amount owed will be 47.98 + 0.99 = $48.97

In the third month she will pay the remaining $47.98 which is within her monthly limit

Total interest paid = Sum of Amount paid each month - Initial amount spent

Total interest = {(72 * 2) +48.97} - 189.56 = $3.41

4 0
3 years ago
A negative number is. A positive number
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" The opposite of " could be the answer
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