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Natasha2012 [34]
3 years ago
10

Factor 2x2 - 9x - 5 using substitution.

Mathematics
1 answer:
Otrada [13]3 years ago
5 0

Answer:

(2x+1)(x−5)

Step-by-step explanation:

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Given: sin(18m-12)=cos(7m+2), find the value of m.
V125BC [204]

Answer:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

Step-by-step explanation:

Solve for m:

-cos(7 m + 2) sin(12 - 18 m) = 0

Multiply both sides by -1:

cos(7 m + 2) sin(12 - 18 m) = 0

Split into two equations:

cos(7 m + 2) = 0 or sin(12 - 18 m) = 0

Take the inverse cosine of both sides:

7 m + 2 = π n_1 + π/2 for n_1 element Z

or sin(12 - 18 m) = 0

Subtract 2 from both sides:

7 m = -2 + π/2 + π n_1 for n_1 element Z

or sin(12 - 18 m) = 0

Divide both sides by 7:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or sin(12 - 18 m) = 0

Take the inverse sine of both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or 12 - 18 m = π n_2 for n_2 element Z

Subtract 12 from both sides:

m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or -18 m = π n_2 - 12 for n_2 element Z

Divide both sides by -18:

Answer: m = -2/7 + π/14 + (π n_1)/7 for n_1 element Z

or m = 2/3 - (π n_2)/18 for n_2 element Z

3 0
3 years ago
Ron had 20 apples. He used 2/5 of the apples to make pies. How many apples did Ron use for pies?
Mnenie [13.5K]
1/5 of 20 is 4.

2/5 of 20 is 8.

Therefore, Ron used 8 apples to make his pies.
4 0
3 years ago
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The sum of the two digits of a number is 9. If the tens digit is one-half the units digit, what is the number? Let t = the tens
soldi70 [24.7K]
The second condition tells you that t is half the size of u, so t=\dfrac12u, which could be rewritten in several ways. In standard form, that would be 2t-u=0.
3 0
3 years ago
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John is solving x^2 + 4x + 8=0 by completing the square. Which step would be part of John's solution.?
SOVA2 [1]

Answer:

(x + 2) ^{2}  =  - 8

Step-by-step explanation:

{x}^{2}  + 4x + 8 = 0 \\  {x }^{2}  + 4x =  - 8 \\  {x}^{2}  + 4x + 4 =  - 8   + 4 \\ ( x + 2)^{2}  =  - 4

3 0
2 years ago
If the integral of f(x)dx = 2.3 from 1 to 3 and F'(x) = f(x), what is the value of F(3) - F(0). The graph will be inserted as a
lana66690 [7]
<span>F(3)−F(0)=<span>∫30</span>f(x)dx</span><span>
so it looks like 2.3+1=3.3</span>
4 0
3 years ago
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