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kati45 [8]
3 years ago
11

Multiply the polynomials. (2x^2 + 6x + 6)(3x – 2)

Mathematics
1 answer:
DaniilM [7]3 years ago
6 0

Hey there! :)

Answer:

6x³ + 14x² + 6x - 12.

Step-by-step explanation:

Given:

(2x² + 6x + 6)(3x - 2)

Multiply each term in the first polynomial by both terms in the second:

3x( 2x² + 6x + 6) - 2(2x² + 6x + 6) =

6x³ + 18x² + 18x - 4x² - 12x -12 =

Combine like-terms:

6x³ + 14x² + 6x - 12.

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Two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete th
ki77a [65]

Answer: 4/3 hours or 1 1/3 hours

Step-by-step explanation:

From the question, we are told that two mechanics, Martin and Gordon, are working on your car. Martin can complete the work in 4 hours, while Gordon can complete the work in 2 hours.

Since Martin can complete the work in 4 hours, that means in 1 hour, he will do 1/4 of the work.

Since Gordon can complete the work in 2 hours, that means in 1 hour, he'll do 1/2 of the job.

When they both work together, we will add their fraction of work done in one hour together. This will be:

= 1/4 + 1/2

= 3/4

This means that both of them will do 3/4 of the job in one hour. Then to get the time taken to get the whole job done, we divide 1 by 3/4. This will be:

= 1 ÷ 3/4

= 1 × 4/3

= 4/3 hours

= 1 hour 20 minutes.

In one

5 0
3 years ago
Solve to find the values of a and b.<br>4a + 7b = 38<br>9a + 7b = 68​
Nataliya [291]
4a + 7b = 38 -> (1)
9a + 7b = 68 -> (2)

Subtract (1) from (2),
9a - 4a + 7b - 7b = 68 - 38
5a = 30
a = 6
5 0
3 years ago
The system of equations shown below is graphed on a coordinate grid:
Rufina [12.5K]

Answer:

4x 3 - 6 4 is the answer

Step-by-step explanation:

i took the test in flvs

4 0
3 years ago
A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts. Estimate the true proportion
Andreas93 [3]

Answer: (0.5496, 0.5754)

Step-by-step explanation:

The confidence interval for population proportion (p) is given by :-

\hat{p}\pm z*\sqrt{\dfrac{\hat{p}(1-\hat{p})}{n}}  , where \hat{p}= Sample proportion , n= sample size , z*= Critical z-value.

Let p be the  proportion of all college students who are in favor of banning Hawaiian shirt.

Given, A random sample of 4000 college students yielded 2250 who are in favor of banning Hawaiian shirts.

i.e. n=4000

\hat{p}=\dfrac{2250}{4000}=0.5625

z-value for 90% confidence level is 1.645

Now , 90% confidence interval for p would be :

0.5625\pm (1.645)(\sqrt{\dfrac{0.5625(1-0.5625)}{4000}})

=0.5625\pm (1.645)(\sqrt{0.0000615234375})\\\\=0.5625\pm (1.645)(0.00784368774876)\\\\\approx0.5625\pm0.0129\\\\=(0.5625-0.0129, \ 0.5625+0.0129)\\\\=(0.5496,\ 0.5754)

Hence, the required 90% interval = (0.5496, 0.5754)

6 0
3 years ago
Give the exponential function A(x)=P(1+r)x, what value for r will make the function a growth function?
wolverine [178]

for this to be a growth function it has to be any number that is latger than zero

FOR EXAMPLE :-

50% which equals to 0.5

4 0
3 years ago
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