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const2013 [10]
3 years ago
10

-7(2b-4)=5(-2b+6)?Please help me i need the answer its hard!

Mathematics
1 answer:
bija089 [108]3 years ago
5 0
-14b+28=-10b-30
-4b+28=-30
-4b=-58
b=58/4=29/2
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Rewrite <br><img src="https://tex.z-dn.net/?f=%20%7Bcos%7D%5E%7B4%7D%20x" id="TexFormula1" title=" {cos}^{4} x" alt=" {cos}^{4}
erastovalidia [21]

All you need is the double angle identity:

\cos^2x=\dfrac{1+\cos2x}2

So we have

\cos^4x=(\cos^2x)^2=\left(\dfrac{1+\cos2x}2\right)^2=\dfrac{1+2\cos2x+\cos^22x}4

Apply the identity again to the squared term:

\cos^4x=\dfrac{1+2\cos2x+\frac{1+\cos4x}2}4=\dfrac{3+4\cos2x+\cos4x}8

6 0
3 years ago
Lily's car used 6 gallons of gas to drive 237 miles. At what rate does her car use gas in miles per gallon? Express your answer
iogann1982 [59]

Answer:

<u>39.5 miles/gallon.</u>

Step-by-step explanation:

6 gallons of gas used to drive 237 miles

The rate of her car uses gas in miles per gallon =

\frac{237 miles}{6 gallons} = \frac{237}{6} = 39.5 \ miles/gallons

Which mean the car will consume 1 gallon for each 39.5 miles.

7 0
3 years ago
Jenifer needs to purchase a computer for her company price of the computer is c
VladimirAG [237]

If you provide more information then I could try to help :)

8 0
3 years ago
Use the formula for continuously compounded interest, A = Pert, to find the annual interest rate for an $8000 investment that ea
ratelena [41]

Answer:

c 5%

Step-by-step explanation:

8000 + 410.7 = 8000 e^(r)

e^r = 1.05127125

r lne = ln1.05127125

r = 0.05006316309 × 100

5%

4 0
3 years ago
Read 2 more answers
Compare the two expressions
Art [367]
Yes, they are equivalent
6+7-5=8. -5+10+3=8
8 0
3 years ago
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