2 years ago

find two consecutive integers such that their sum equal to the difference of three times the larger and two times the smaller

Mathematics

1 answer:

Evgen [1.6K]2 years ago

3 0

Answer:

Step-by-step explanation:

the larger one far more big other than 0

x=4

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Use synthetic division to divide x^3+5x^2−9x−7 by x−2 1 5 -9 -7 The quotient is: _____ The remainder is: ______

RoseWind [281]

Answer:

The quotient is x² + 6x +3

Remainder = -1

Step-by-step explanation:

Explanation:-

Given Polynomial equation

f(x) = x³+5x²−9x−7

By using synthetic division

x = 2 1 5 -9 -7

0 1 12 6

1 6 3  -1 

The quotient is x² + 6x +3

Remainder = -1

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2 years ago

Sarah and Bryan went shopping and spend a total of $47.50. Bryan spends $15.50 less than was Sarah spent. How much did Bryan spe

myrzilka [38]

X+(x+15.50)=47.50
2x=32
x=16
Bryan spends $16

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Mary makes trail mix with bulk nuts and dried fruit. She spends $4.50 on the dried fruit. Mixed nuts cost $2.50 per pound. She h

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Answer: 3 pounds

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2 years ago

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Prove that: cos20°cos40°cos80°=1/8

Naya [18.7K]

Answer:

see explanation

Step-by-step explanation:

Using the double angle identity for sine

sin2x = 2sinxcosx

Consider left side

cos20°cos40°cos80°

= $\frac{1}{2sin20}$ (2sin20°cos20°)cos40°cos80°

= $\frac{1}{4sin20}$ (2sin40°cos40°)cos80°

= $\frac{1}{4sin20}$ (sin80°cos80° )

= $\frac{1}{8sin20}$ (2sin80°cos80° )

= $\frac{1}{8sin20}$ . sin160°

= $\frac{1}{8sin20}$ . sin(180 - 20)°

= $\frac{1}{8sin20}$ . sin20°

= $\frac{1}{8}$ = right side , thus proven

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2 years ago

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