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3 years ago

Which statements are true about the fully simplified product of (b-2c)(-3b c) ?

Mathematics

1 answer:

AVprozaik [17]3 years ago

7 0

Answer:

( 3 )The simplified product has a degree of 2.

Step-by-step explanation:

$(b-2c)(-3b+c)$

Multiply the parenthesis using FOIL method

multiply b inside the second parenthesis

$b(-3b+c)= -3b^2 +bc$

$-2c(-3b+c)= 6bc -2c^2$

$(-3b^2 +bc+6bc -2c^2)$

Combine like terms

$-3b^2 +7bc -2c^2$

Simplified product has 3 terms, and the degree of 2 because we have b^2

and c^2

You might be interested in

How many fives makes 6 tens

Semenov [28]

Answer:

12 fives

Step-by-step explanation:

6 tens is 60, so 60÷5 is 12

5 0

3 years ago

Read 2 more answers

8. Olivia's brother is twice her age

slava [35]

The ages of Olivia and her brother are 10 years and 11 years respectively

Let x₁, and x₂ be the ages of Olivia and her brother respectively.

Given that Olivia's brother is twice her age minus 9 years.

⇒ x₂ = 2x₁ - 9 → equation 1

Also given that Olivia's brother is as old as half the sum of the ages of Olivia and both of her 12-year-old twin brothers.

⇒ x₂ = 1/2 × (x₁ + 12) → equation 2

Using equation 1 in equation 2, we get

2x₁ - 9 = 1/2 × (x₁ + 12)

⇒ 4x₁ - 18 = x₁ + 12 (multiplying by 2 on both sides)

⇒ 4x₁ - x₁ = 12 + 18

⇒ 3x₁ = 30

⇒ x₁ = 10 (dividing by 3 on both sides)

Using the value of x₁, in equation 1,

⇒ x₂ = 2(10) - 9

⇒ x₂ = 20 - 9

⇒ x₂ = 11

Therefore the ages of Olivia and her brother are 10 years and 11 years respectively.

Learn more at:

brainly.com/question/28016937

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8 0

1 year ago

What is the slope of the line that passes through the pair of point? (5, 7), (2, 1)

choli [55]

The slope of the line that passes through the pair of point (5, 7), (2, 1) is 2

Solution:

Given that line that passes through the pair of point (5, 7), (2, 1)

To find: slope of the line

The slope of line is given as:

For a line passing through two points $(x_1, y_1)$ and $(x_2, y_2)$ slope is given as:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

Here in this problem,

$\left(x_{1}, y_{1}\right)=(5,7) \text { and }\left(x_{2}, y_{2}\right)=(2,1)$

Substituting the values in above formula,

$m=\frac{1-7}{2-5}=\frac{-6}{-3}=2$

Thus the slope of given line is 2

4 0

3 years ago

An insurance policy on an electrical device pays a benefit of 4000 if the device fails during the first year. The amount of the

lora16 [44]

Answer:

Expected benefit under this policy = $ 2694

Step-by-step explanation:

Given - An insurance policy on an electrical device pays a benefit of

4000 if the device fails during the first year. The amount of the

benefit decreases by 1000 each successive year until it reaches 0.

If the device has not failed by the beginning of any given year, the

probability of failure during that year is 0.4.

To find - What is the expected benefit under this policy ?

Proof -

Let us suppose that,

The benefit = y

Given that, the probability of failure during that year is 0.4

⇒Probability of non-failure = 1 - 0.4 = 0.6

Now,

If the device fail in second year , then

Probability = 0.6×0.4

If the device fail in third year, then

Probability = 0.6×0.6×0.4 = 0.6² × 0.4

Going on like this , we get

If the device is failed in n year, then

Probability = 0.6ⁿ⁻¹ × 0.4

Now,

The probability distribution is-

Benefit , x 4000 3000 2000 1000 0

P(x) 0.4 0.6×0.4 0.6² × 0.4 0.6³ × 0.4 1 - 0.8704

(0.4) (0.24) (0.144) (0.0864) (0.1296)

At last year, the probability = 1 - (0.4+ 0.24+ 0.144+ 0.0864) = 1 - 0.8704

Now,

We know that,

Expected value ,

E(x) = ∑x p(x)

= 4000(0.4) + 3000(0.24) + 2000(0.144) + 1000(0.0864) + 0(0.1296)

= 1600 + 720 + 288 + 86.4 + 0

= 2694.4

⇒E(x) = 2694.4 ≈ 2694

∴ we get

Expected benefit under this policy = $ 2694

5 0

3 years ago

PLEASE HELP ME Determine the premiter of the figure . Use 3.14 for PI Round to the nearest tenth. Numbers are 10 in and 15in

densk [106]

Answer:

5 $\pi$ +40

Step-by-step explanation:

perimeter of circle=2 $\pi$ r

so 5 is r(radius)

so 10 $\pi$ , but since it’s semicircle, you have to divide by 2, so

5 $\pi$

perimeter of rectangle=15+10+15 because you don’t count the inside, so that equals 40

so 5 $\pi$ +40

3 0

2 years ago