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otez555 [7]
2 years ago
10

Subtract these polynomials.

Mathematics
2 answers:
Mandarinka [93]2 years ago
8 0
<span>2x^2 + 4x + 3 – 4x^2 +2x +3 = -2x²   +6x  +6
Answer D</span>
AveGali [126]2 years ago
4 0

Answer:  The correct option is

(D) -2x^2+6x+6.

Step-by-step explanation:  We are given to subtract the following polynomials :

P=(2x^2+4x+3)-(4x^2-2x-3)~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~~(i)

To subtract the given polynomials, we need to subtract the coefficients of the terms with same powers of the unknown variable x.

From (i), we get

P\\\\=(2x^2+4x+3)-(4x^2-2x-3)\\\\=2x^2+4x+3-4x^2+2x+3\\\\=(2-4)x^2+(4+2)x+(3+3)\\\\=-2x^2+6x+6.

Thus, the required resulting polynomial is -2x^2+6x+6.

Option (D) is CORRECT.

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The product of a number and 1 less than the is 30. Find the number
AysviL [449]
6 and 5.

6 is one more than 5, and 5 * 6 = 30.

Hope this helps! Have a great day :)
6 0
3 years ago
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Step-by-step explanation:

5 0
3 years ago
A laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this lapt
emmainna [20.7K]

Answer:

Step-by-step explanation:

given that a  laptop company claims up to 11.0 hours of wireless web usage for its newest laptop battery life. However, reviews on this laptop shows many complaints about low battery life. A survey on battery life reported by customers shows that it follows a normal distribution with mean 10.5 hours and standard deviation 27 minutes.

convert into same units into hours.

X is N(10.5, 0.45)

a)  the probability that the battery life is at least 11.0 hours

P(X\geq 11)\\\\=1-0.8667\\=0.1333

(b)  the probability that the battery life is less than 10.0 hours

=P(X

(c)  the time of use that is exceeded with probability 0.97

=97th percentile

= 11.844

d)  The time of use that is exceeded with probability 0.9 is

is 90th percentile = 10.885

8 0
3 years ago
Find the amount and present value of 10 quarterly payments of $ 1500, if the interest rate is 25% compounded each month.
BlackZzzverrR [31]

Given Information:

Monthly payment = MP = $1500/4 = $375

Monthly interest rate = r = 25/12 = 2.083%

Required Information:

Present Value = ?

Answer:

PV = \$10,110

Explanation:

n = 10*4

n = 40 monthly payments

The present value is found by

$ PV = MP \times  \frac{ (1 - \frac{1}{(1+r)^n} )}{r}  $

Where r is monthly interest rate.

MP is the monthly payment.

$ PV = 375 \times  \frac{ (1 - \frac{1}{(1+0.02083)^{40}} )}{0.02083}  $

PV = 375 \times (26.96)

PV = \$10,110

Therefore, $10,110 is the present value of 10 quarterly payments of $1500 each at 25% interest rate compounded each month.

7 0
3 years ago
These two rectangles are similar. Which is a correct proportion for corresponding sides?
Keith_Richards [23]

Answer:

option (2) is correct.

\frac{4}{8}=\frac{12}{x}

Step-by-step explanation:

Given two similar rectangles and with dimension of sides,

we have to choose the correct proportion for corresponding sides.

Since, the rectangles given are similar rectangles.

So, the corresponding sides are in same proportion in case of similar figures,

So,  

\frac{4}{8}=\frac{12}{x}

Thus, option (2) is correct.


7 0
3 years ago
Read 2 more answers
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