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gogolik [260]
3 years ago
6

Write and equation in which the quadratic expression 2x^2 -2x -12 equals 0. Show the expression in factored form and explain wha

t your solutions mean for the equation. Show your work.
a) Take out the GCF
b) Factor the rest of the equation
c) Find the solutions of the equation

Mathematics
1 answer:
Ymorist [56]3 years ago
8 0
2x^2 - 2x - 12 = 0

a) The GCF is 2x

2(x^2 - x - 6) = 0

What multiplies to negative six and adds to negative 1?
Negative 3 and positive 2.

2(x-3)(x+2) = 0

Solutions:

3, -2
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A ship travels 200 miles due west, then adjusts its course 30° north of west. The ship continues on this course for 30 miles. Ap
Marta_Voda [28]

Answer:

174.66\ mi  or 175\ mi

Step-by-step explanation:

we know that

Applying the law of cosines

c^{2}=a^{2}+b^{2}-2(a)(b)cos(C)

In this problem we have

a=200\ mi

b=30\ mi

C=30\°

substitute the values

c^{2}=200^{2}+30^{2}-2(200)(30)cos(30\°)

c^{2}=30,507.695

c=174.66\ mi

6 0
3 years ago
Read 2 more answers
Write the equation of the line MN, which is formed by the
krek1111 [17]

Answer:

-1

Step-by-step explanation:

Took the assignment! :)

5 0
3 years ago
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Your cell phone plan is by the minute. each minute of use cost $0.10. create a relation that represents the amount spent, A, per
Dmitriy789 [7]

Answer:

Talking 65 minutes, $ 6.50 must be paid.

Step-by-step explanation:

Since your cell phone plan is by the minute, and each minute of use cost $ 0.10, to create a relation that represents the amount spent, A, per minute, m, of call time, and then use the relation to find the amount spent if you talk 65 minutes, the following calculations must be performed:

0.10 x M = A

0.10 x 65 = A

6.50 = A

Thus, talking 65 minutes, $ 6.50 must be paid.

3 0
3 years ago
Need help please thanks
Ivahew [28]

Answer:

A

Step-by-step explanation:

5 0
3 years ago
Please help me with this math question I really need help ;/. I'll give brainliest if u help.
Darya [45]

Step-by-step explanation: You have to substitute the numbers in for x & y

(0, -5): YES

3x - 4y - 8 = 12

3(0) - 4(-5) - 8 = 12

0 + 20 - 8 = 12

20 - 8 = 12

12 = 12


(4, -2): YES

3x - 4y - 8 = 12

3(4) - 4(-2) - 8 = 12

12 + 8 - 8 = 12

20 - 8 = 12

12 = 12


(8, 2): NO

3x - 4y - 8 = 12

3(8) - 4(2) = 12

24 - 8 = 12

16 = 12


(-16, -17): YES

3x - 4y - 8 = 12

3(-16) - 4(-17) - 8 = 12

-48 + 68 - 8 = 12

20 - 8 = 12

12 = 12


(-1, -8): NO

3x - 4y - 8 = 12

3(-1) - 4(-8) = 12

-3 + 32 = 12

29 = 12


(-40, -34): NO

3x - 4y - 8 = 12

3(-40) - 4(-34) - 8 = 12

-120 + 136 - 8 = 12

16 - 8 = 12

8 = 12


Hope this help you!!! :)

7 0
3 years ago
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