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serious [3.7K]
3 years ago
12

Solve by factoring.. m^2 + 8m + 7 = 0

Mathematics
1 answer:
castortr0y [4]3 years ago
3 0
In order to solve an equation by factoring, it should be that the equation is equal to zero.
m^2 + 8m + 7 = 0
For this case we have, to do completing the square in order to factor this equation.
<span>
m^2 + 8m = -7
</span><span>m^2 + 8m + 16 = -7 +16
</span><span>(m+4) (m+4) = 9
</span><span>(m+4)^2 = 9

Take the square root of both sides,
m+4 = 3
m = -1</span><span>
</span>
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mestny [16]

Part A:

To get the interest of 1 year

Multiply 20,000 by 5% or 0.05

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She pays $4,000 in interest

Part B:

If she pays it off in 2 years, instead of 4 years, she will pay an interest of $2,000, divide 4 by 2

Part C:

This is the same as part b, she saves $2,000

Hope this helps

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6 0
3 years ago
Jenny recorded the weight of 5 dogs. Each dog weighed a different amount. She recorded the results
Andreas93 [3]

Answer:

C

Step-by-step explanation:

the middle 50% wold be the numerical values in the actual box part of the box plot.

7 0
3 years ago
Read 2 more answers
Somebody please help me with this !!!
Damm [24]

Step-by-step explanation:

Case 1 :

3x + 2y = 6 \\ 4x + y = 2 \\ 3x = 6 - 2y \\ x =  \frac{6 - 2y}{3}  = \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) + y = 2 \\ 8 -  \frac{8y}{3}  + y = 2 \\  - 1.67y =  - 6 \\

y = 3.59 \\ x = 2 -  \frac{2y}{3}  \\x =  2 -  \frac{2 \times 3.59}{3}  \\  \\ x =  - 0.39

Case 2 :

3x + 2y = 6 \\ 4x  -  y = 2 \\ x = 2 -  \frac{2y}{3}  \\ 4(2 -  \frac{2y}{3} ) - y = 2 \\ 8 -  \frac{8y}{3}  - y = 2 \\   - 3.67y=  - 6 \\ y = 1.63

x = 2 -  \frac{2y}{3}  \\ x = 2 -  \frac{2 \times 1.63}{3}  \\ x = 2 - 1.087 \\ x = 0.913

7 0
3 years ago
Toby buys packs of 12 racing cars for R49,99 and sells each racing car for R10 at school
Ratling [72]

Answer:

1.1  R5.83

1.2 R70.01

1.3 58.34%

Step-by-step explanation:

Given that he buys a pack of 12 racing cars  for  R49,99 then the unit cost for a car which is the total cost divided by the number of cars in a pack

= R49,99/12

= R4.17

If each car is sold for R10 then the profit made on each car which is the difference between the cost and the selling price

= R10 - R4.17

= R5.83

The profit margin on one pack of 12 racing cars

Profit margin is the ratio of the profit to the total selling price

The total profit (profit on one pack of 12 racing cars)

= R5.83 * 12

=R70.01

Total selling price = R10 * 12

=R120

Margin = R70.01 / R120

= 58.34%

4 0
3 years ago
What the hypothenuse of a right with length of 6 and 8
Aloiza [94]
This is a pythagorean triple --> 3-4-5
Although you notice it is doubled but with the same pattern --> 6-8-10

Thus, the hypotenuse is 10. 
8 0
3 years ago
Read 2 more answers
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