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Arturiano [62]
3 years ago
14

8(−5d−9)−3(−6d+10) in simplest terms

Mathematics
2 answers:
professor190 [17]3 years ago
7 0

Answer:

-22d -102

Step-by-step explanation:

8(−5d−9)−3(−6d+10)

Distribute

-40d -72 +18d -30

Combine like terms

-40d +18d   -72 - 30

-22d -102

White raven [17]3 years ago
6 0

Answer:

−22d − 102

Step-by-step explanation:

8 (−5d − 9) −3 (−6d + 10)

expand 8 (−5d − 9)  to  −40d − 72

= −40d − 72 − 3 (−6d + 10)

expand − 3 (−6d + 10)   to   18d − 30

= −40d − 72 + 18d − 30

combine like terms

= −40d + 18d − 72 − 30

=  −22d − 102

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Answer:

(-6,4)

Step-by-step explanation:

The equations are:

x^2+4y^2=100\\4y-x^2=-20

Solving for x^2 of the 2nd equation and putting that in place of x^2 in the 2nd equation we have:

4y-x^2=-20\\x^2=4y+20\\-------\\x^2+4y^2=100\\4y+20+4y^2=100

Now we can solve for y:

4y+20+4y^2=100\\4y^2+4y-80=0\\y^2+y-20=0\\(y+5)(y-4)=0\\y=4,-5

So plugging in y = 4 into an equation and solving for x, we have:

x^2=4y+20\\x=+-\sqrt{4y+20} \\x=+-\sqrt{4(4)+20} \\x=+-\sqrt{36} \\x=6,-6

So y = 4 corresponds to x = 6 & x = -6

The pairs would be

(6,4) & (-6,4)

<u><em>we see that (-6,4) falls in the 2nd quadrant, thus this is the solution we are looking for.</em></u>

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A girl is snorkeling 1 meter below sea level and then dives down 3.5 meters. How far below sea level is the girl?
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Step-by-step explanation:

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In the diagram, how many angles are alternate exterior angles with angle 16?
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Step-by-step explanation:

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A life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475. The probability th
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Answer:

The expected value for the insurance company is $392.20.

Step-by-step explanation:

The expected value of a random variable, <em>X</em> is:

E(X)=x\cdot P(X)

It is provided that a life insurance company sells a $100,000 one year term life insurance policy to a 30-year old male for $475.

The probability that the male survives the year is, P(S) = 0.999172.

Then the probability that the male does not survives the year is:

P (S') = 1 - P (S)

        = 1 - 0.999172

P (S') = 0.000828

The amount the company owes the male if he survives is, S = $475.

The amount the company owes the male if he does not survives is,

S' = $475 - $100,000 = -$99525.

Compute the expected value for the insurance company as follows:

E(\text{Insurance Company})=S\cdot P(S)+S'\cdot P(S')

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Thus, the expected value for the insurance company is $392.20.

4 0
3 years ago
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