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2 years ago

Factor completely 96-6x^2

Mathematics

1 answer:

kotegsom [21]2 years ago

7 0

Answer:

96 - 6x²

= 6(16 - x²) (Factor 6)

= 6(4² - x²) (Rewrite 16)

= 6(4 + x)(4 - x) (Difference of squares)

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Solve the system of equations using elimination 2x+y=3 and 3x-y=12

Eddi Din [679]

2x + y = 3
3x - y = 12
Add both equations
5x = 15, x = 3
2(3) + y = 3
6 + y = 3, y = -3
Solution: x = 3, y = -3... or (3,-3)

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2 years ago

Factor Quadratics

icang [17]

Answer:

Step-by-step explanation:

x^2 + 17x + 60

(x + 12)(x + 5)

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2 years ago

Theresa wants to order her mother flowers for her birthday. She wants to give the delivery person a $6.00 tip. The cost of the f

Illusion [34]

Answer:

$8\%$

Step-by-step explanation:

Since question already gives the number of dollars she will tip, I'm assuming it's asking for percent tipped.

Because the total is $75 and Theresa is tipping $6, she is tipping $\frac{6}{75}=0.08$ of the total. To convert this to a percentage, multiply by 100: $0.08\implies 0.08\cdot 100=\boxed{8\%}$

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2 years ago

Read 2 more answers

Sally bought a car for 35000 in 2017. If the car loses 5.5% semiannually, what will the value of the value of the car be at the

kumpel [21]

The value of the year at the end of 2025 will be given by:
A=P(1+r/100)^n
where:
A=future value
P=principle
r=rate
n=number of terms
hence for the data given;
p=35000
R=5.5
n=(2025-2017)*2=16
Thus
A=35000(1+5.5/100)^16
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2 years ago

9) Nancy starts a race at the start line and she is running 3 meters per second. Juan starts the same race 3 meters ahead of Nan

Travka [436]

Given:

Nancy is running 3 meters per second.

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second.

To find:

The equations for Nancy and Juan.

Solution:

Let x be the number of seconds.

Nancy is running 3 meters per second. So, the total distance covered by Nancy in the race is

$y=3x$

Juan starts the same race 3 meters ahead of Nancy but he is going at 2 meters per second. So, the total distance covered by Juan in the race is

$y=3+2x$

Therefore, the equations of Nancy and Juan are $y=3x$ and $y=3+2x$ respectively.

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2 years ago