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3 years ago

Simplify the expression (4x − 3)(x + 5)

Mathematics

2 answers:

8090 [49]3 years ago

5 0

Step-by-step explanation:

4x^2+20x-3x+5

4x^2+17x-15

leonid [27]3 years ago

3 0

Answer:

4x²+17x-15

Use the FOIL method. Multiply the first term in each group, then the outer ones, then the inner ones, and finally the last term in each group together. The first terms in this case are 4x and x, the outer terms are 4x and 5, the inner terms are -3 and x, and the last terms are -3 and 5.

Hope this helps!

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How many $0.21 pencils can be purchased for $7.00? Show your work.

IgorLugansk [536]

N*(21/100)=(700/100)

n=(700/100)/(21/100)

n=(700/100)*(100/21)

n=700/21

n=33+1/3

So <em><u>thirty three</u></em> $0.21 pencils can be purchased for $7.00.

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2 years ago

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Answer:

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2 years ago

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kramer

Answer:

about 2949 feet

Step-by-step explanation:

The geometry of the situation can be modeled by a right triangle. The height of the cliff can be taken to be the side opposite the given angle, and the distance to the coyote will be the side adjacent to the given angle. The relation between these values is the trig function ...

Tan = Opposite/Adjacent

<h3>setup</h3>

Filling in the known values, we have ...

tan(6°) = (310 ft)/(distance to coyote)

<h3>solution</h3>

Multiplying by (distance to coyote)/tan(6°) gives ...

distance to coyote = (310 ft)/tan(6°) ≈ 310/0.105104 ft

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2 years ago

Thor invests $3000 in an account, with interest compounded continuously. If his investment doubles in value after 7.2 years, wha

sladkih [1.3K]

Answer:

B. 9.6 %.

Step-by-step explanation:

A = P e^rt

His investment doubles so it comes to 3000 * 2 = $6000.

Substituting in the formula>

6000 = 3000e^7.2r ehere r is the interest rate.

e^7.2r = 2

Taking logs

7.2r = ln 2

r = ln2 / 7.2

r = 0.096

So the rate is 9.6%.

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2 years ago