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Mumz [18]
3 years ago
6

Please explain how to completely factor this :)

Mathematics
1 answer:
Amanda [17]3 years ago
4 0
4(2x^2 + 17x + 21) This reduces the size of the numbers you need to try.
It's going to look like this when you factor
4(2x + ___) (x + ___)
Now its a guessing game.  Start with 7
4(2x + 7)(x + 3) you need the 3 to multiply to 21
But the middle term when you expand this is 7x + 6x = 13x which does not work. Try switching the 7 and 3.

4(2x + 3)(x + 7)
This your answer. because 3x + 14x = 17x.
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f the price charged for a candy bar is​ p(x) cents, where p (x )equals 162 minus StartFraction x Over 10 EndFraction ​, then x t
andreev551 [17]

Answer:

a. 1620-x^2

b. x=810

c. Maximum value revenue=$656,100

Step-by-step explanation:

(a) Total revenue from sale of x thousand candy bars

P(x)=162 - x/10

Price of a candy bar=p(x)/100 in dollars

1000 candy bars will be sold for

=1000×p(x)/100

=10*p(x)

x thousand candy bars will be

Revenue=price × quantity

=10p(x)*x

=10(162-x/10) * x

=10( 1620-x/10) * x

=1620-x * x

=1620x-x^2

R(x)=1620x-x^2

(b) Value of x that leads to maximum revenue

R(x)=1620x-x^2

R'(x)=1620-2x

If R'(x)=0

Then,

1620-2x=0

1620=2x

Divide both sides by 2

810=x

x=810

(C) find the maximum revenue

R(x)=1620x-x^2

R(810)=1620x-x^2

=1620(810)-810^2

=1,312,200-656,100

=$656,100

7 0
4 years ago
A square has a perimeter of 12x + 52 units. Which expression represents the side length of the square in units
ElenaW [278]

Answer:

Step-by-step explanation:

7 0
3 years ago
I don't understand this question can someone help me with this please, please explain!! and thank you for the help!! If u dont k
Gekata [30.6K]

Answer:

1. C) .4

2. B) 2 1/4

3. D) 3 5/8

Step-by-step explanation:

1. The question is asking what fraction (represented in decimal form) did Maria spend. To find this, divide 18/45 because Maria spent $18 of her $45. When you complete this calculation, you get .4

2. When you look at where the line ends, it's at the first quarter line after the 2, meaning that the line is 2 and one quarter or 2 1/4

3. 8 times 3 is 24, which is the closest multiple of 8 to 29. However, since there is still 5 left over (which still needs to be divided by 8) it would be represented by the mxed fraction.

6 0
3 years ago
Here is the histogram of a data distribution. All class widths are 1.
stich3 [128]

The median of the data is 5 if the all class widths are 1, option (C) is correct.

<h3>What is the median?</h3>

A median is a middle number in a series of numbers that have been arranged to lift, and it might be more informative of the set of data than the average. When there are extremes in the sequences that might affect the average of the numbers, the median is sometimes employed instead of the mean.

In the histogram, 15 data values are given:

1, 2, 2, 3, 3, 3, 4, 5, 6, 6, 7, 7, 7, 8, 9

The mid-value is 5 which is on the 8th place

Thus, the median of the data is 5 if the all class widths are 1, option (C) is correct.

Learn more about the median here:

brainly.com/question/21396105

#SPJ1

8 0
2 years ago
Which of the following equations is equivalent to 28 – 6 = 22?
ch4aika [34]

Answer:

22 + 6 = 28

Step-by-step explanation:

5 0
3 years ago
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