Factors of 2x^2-13x+21

Answers

Answer 1

Answer:

(2x-7)(x-3)

Step-by-step explanation:


Related Questions

The graph shows the amount of rain that falls over time. Does the rain fall at a constant or variable rate? How much rain falls per hour?

thanks!​

Answers

Answer: yes, it does fall at a constant rate. for each hour there is one inch of rainfall.

Step-by-step explanation:

if the line goes the the origin (0,0) then that means that it is a constant rate. if you look at the chart, there is number on every other line. This means that there is an odd number on the other lines. If you then go up the line for 1 hour, then you will meet at lines intersecting to get 1 inch of rainfall per hour

if p(q) = q^2 + 4q − 12,then what is p(−1)?

Answers

Answer: p(-1) = -15

Step-by-step:

Plug -1 into the equation in place of q.

p(-1) = (-1)^2 + 4(-1) - 12

p(-1) = (-1)^2 - 4 - 12

p(-1) = (-1)^2 -16

p(-1) = 1 - 16

p(-1) = -15
1): "q2" was replaced by "q^2".

Step by step solution :

STEP
1
:
Trying to factor by splitting the middle term

1.1 Factoring q2-4q-12

The first term is, q2 its coefficient is 1 .
The middle term is, -4q its coefficient is -4 .
The last term, "the constant", is -12

Step-1 : Multiply the coefficient of the first term by the constant 1 • -12 = -12

Step-2 : Find two factors of -12 whose sum equals the coefficient of the middle term, which is -4 .

-12 + 1 = -11
-6 + 2 = -4 That's it

Step-3 : Rewrite the polynomial splitting the middle term using the two factors found in step 2 above, -6 and 2
q2 - 6q + 2q - 12

Step-4 : Add up the first 2 terms, pulling out like factors :
q • (q-6)
Add up the last 2 terms, pulling out common factors :
2 • (q-6)
Step-5 : Add up the four terms of step 4 :
(q+2) • (q-6)
Which is the desired factorization

Equation at the end of step
1
:

(q + 2) • (q - 6) = 0
STEP
2
:
Theory - Roots of a product

2.1 A product of several terms equals zero.

When a product of two or more terms equals zero, then at least one of the terms must be zero.

We shall now solve each term = 0 separately

In other words, we are going to solve as many equations as there are terms in the product

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

2.2 Solve : q+2 = 0

Subtract 2 from both sides of the equation :
q = -2

Solving a Single Variable Equation:

2.3 Solve : q-6 = 0

Add 6 to both sides of the equation :
q = 6

Supplement : Solving Quadratic Equation Directly

Solving q2-4q-12 = 0 directly

In ΔFGH, f = 830 inches, g = 460 inches and h=500 inches. Find the measure of ∠H to the nearest degree.

Answers

Answer:

32 degrees

Step-by-step explanation:

The law of cosines can be used for this:

 h^2 = f^2 +g^2 -2fg·cos(H)

 cos(H) = (f^2 +g^2 -h^2)/(2fg)

 cos(H) = (650,500/763,600)

 H = arccos(6505/7636) ≈ 31.5826°

A man has a collection of 19 coins worth $2.55. There are twice as many nickels as dimes. If the rest are quarters, how many quarters are there?

Answers

Answer:

7 quarters

Step-by-step explanation:

what is 3 3/5 - 6 1/7

Answers

-89/35 = -2 19/35

3 3/5 - 6 1/7
18/5 - 43/7
= -89/35
= -2 19/35

What is the length of DE?
А. 8
В. 7
С. 6
D. 5

Answers

I think your best shot is 6

What is the solution to the 2nd degree equation below?x² + 2x + 4 = 0​

Answers

Answer:

x = (−2 ± √−12)/2

Step-by-step explanation:

Using the quadratic formula (search it up if you don't know what it is, but it's basically the first thing in the pic):

A town population of children increased from 367 to 421 during the past year which equation showes how to find the percentage increase

Answers

Answer:

5.7%

Step-by-step explanation:

421-367=24

24/421x100=5.7%

At a football stadium, 10% of the fans in attendance were teenagers. If there were 30 teenagers at the football stadium, what was the total number of people at the stadium?
Insert the values given in the problem then scale up or down to find the missing value.

Answers

Answer:

i believe the answer to this is a total of 300 people because you multiply the ten percent into the 30 people which factors out some numerical values, so then your answer as i just said is 300 people in total attended the game.

Step-by-step explanation:

12 times 3/8 and simplified

Answers

Answer:

4 1/2

Step-by-step explanation:

[tex]12*\frac{3}{8} \\=3*\frac{3}{2} \\=9/2= 4 \frac{1}{2}[/tex]

60 Point Question Answer ASAP! Brainliest to best/first answer

Answers

Step-by-step explanation:

the change rate between the data points gives us the print rate.

so,

(f(x2) - f(x1)) / (x2 - x1)

starting with x1 = 10 and x2 = 15 we see

(133 - 98) / (15 - 10) = 35/5 = 7

that means he is printing 7 pages per minute.

we see that we have the same difference (35 prints) for every following 5-minute interval.

so, that is the confirmed print rate.

and yes, the amount is increasing, of course.

after 10 minutes he has 98 flyers but we know he could have printed only 7×10 = 70 flyers in that time.

so, he started with 98-70 = 28 flyers before actually printing new ones.

Which of these is the correct root of the word judicial?

O A. jud = mankind

B. jud = book

C. jud = prophecy

O D. jud = law

SUBN

Answers

pretty sure law. judicial means of, by, or appropriate to a court or judge.

10-4/4x89-1/2+43992/69x174

Answers

10.127781530000000000

After a series discount of 18/10, a GPS had a net cost of $252.45. What is the list price?
..EE
The list price of the GPS is $
(Round to the nearest cent as needed.)

Answers

Answer:

$237.50

Step-by-step explanation:

5/100=.05

250•.05=12.5

250-12.5=237.50

mikah bought a dozen cupcakes for her friends birthday. if she paid 3.48 dollars for the cupcakes what was the cost per cupcake. explain please

Answers

12 cupcakes = $3.48
1 cupcake = $3.48/12 = $0.29

Each cupcake must equal $0.29. To prove this, if we multiply 0.29 by 12, we should get her original cost of $3.48.

The graph of a proportional relationship passes through the given point and (1, y). Find y.
Given point: (19, 342)

Answers

Answer: 4/3

Step-by-step explanation:

One bunch of seedless black grapes cost $2. How many bunches can you buy for $20?

Answers

Answer:

If one bunch is two dollars even, then you could buy 10 bunches.

Step-by-step explanation:

20 divided by 2 = 10

So, you could buy ten bunches of grapes.

Answer:

the answer is 10 because 2 goes into 20 10 times.

Step-by-step explanation:

1/3 + 3/5 in fraction form

Answers

Solution: 1/3 + 3/5

Take the LCM of 3 and 5 is 15.

⇛(5+9)/15

⇛14/15 in fractional form.

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Answer:

14/15

Step-by-step explanation:

When you simplify a fraction, you have to divide or multiply the numerator(the top number) and the denominator(the bottom number) by the same number. In order to add or subtract two fractions, both have to have the same denominator. The LCD, or least common denominator, of 3 and 5 is 15. 15÷3=5, so you multiply 1/3 by 5 and and 5 to get 5/15. 15÷3=5, so you multiply 3/5 by 3 and 3 to get 9/15. The denominator stays the same when adding or subtracting fractions, and 5+9=14, so the answer is 14/15.

Which of the following is the ratio of 5 cm to 10 km​

Answers

Answer:

1/200000

Step-by-step explanation:

first 10 km equals to 1000000cm

so 5/1000000cm

equals to 1/200000

All the workers in a company were asked a survey question. The two-way frequency table shows the responses from the workers in the day shift and night shift. Complete parts a and b.
Please don't ask me to download the answer​

Answers

A two-way relative frequency table  consists of two types of data or data in two categories one relating to the columns and the other relating to the rows.

Shift                                     Response                              

                          Yes                        No                        Total

Day            

                          67%                  33%                     100%

Night              

                           23%                      77%                    100%

Total            

                         45%                              55%              200%

In this table there is data relating to two categories day/ night and yes/no.

Along the rows the percentages of the day/night data are calculated.

Along the columns the percentages of the yes/no data are calculated.

Shift                                     Response                              

                          Yes                        No                        Total

Day                  67/100*100           33/100  *100           100

                             = 67%                  =33%                     100%

Night                23/100*100           77/100*100               100

                          = 23%                     =77%                        100%

Total              90/200 *100               110/200*100           200

                         = 45%                       =   55%                   200%

These calculations are done by dividing the row cells by their respective row totals.

Similarly the columns cells are filled by dividing the column cells with their respective column totals.

For more understanding of  two-way frequency table click

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Solve for m. 81m2 = 36

Answers

Step-by-step explanation:

81m2 = 36

m2 = 36/81

m2 = 4/9

Square root on both sides

m = 2/3

Answer:

Step-by-step explanation:

i hope this help have a great day!

What is the equation to find the slope
m=

Answers

Answer:

[tex]m=\frac{y2-y1}{x2-x1}[/tex]

Step-by-step explanation:

Answer:

[tex]\huge\boxed{m=\frac{y_2-y_1}{x_2-x_1} }[/tex]

Step-by-step explanation:

The equation for slope is [tex]m=\frac{y_2-y_1}{x_2-x_1}[/tex], when given two points,

[tex](x_1,y_1), and (x_2,y_2)[/tex].

Hope it helps :) and let me know if you want me to elaborate.

Bob's Gift Shop sold 350 cards for Mother's Day. One salesman, Bentley, sold 2% of the cards sold for Mother's Day. How many cards did Bentley sell?

Answers

2% of 350 is 7, so Bentley sold 7 cards on Mother's Day

Patrica earns $12.50 per hour. She saves $3.25 of her hourly pay. What percentage of her hourly salary does she save?

Answers

Answer:

26%

Step-by-step explanation:

Well, we need to find what percent 3.25 is of 12.50.

12.50*x=3.25

3.25/12.50=.26

26% is saved.

Mr Brown bought TV for a total money of 20000 including VAT of VAT is 15% then find the original price of the tv​

Answers

Answer:

17,391.30

Step-by-step explanation:

original is always 100%.

if 115% = 20000

wat of 100%= ?

crossmultiply to obtain 17,391.30 as the original price.

Please help me im begging you

Answers

Answer:

i think its D but sorry if im wrong !! <3

Step-by-step explanation:

Answer: 6⅝ subtract 2½ or rewrite the equation as 6⅝ subtract 2 ⁴/8 same thing :)

Whole numbers: 6-2 = 4

⅝- ⁴/8 = ⅛

Step-by-step explanation:

The answer is 4 ⅛ :)

PLEASE HELP. I'LL GIVE BRAINLIEST.

Find the missing value to complete the square. So what is the value of the question mark that would make the equation true.

x² + 8x + ?

Answers

Answer:

16

Step-by-step explanation:

(x+4)(x+4)

Answer:

The answer is 16.

Step-by-step explanation:

Since the 8x is positive, the equation [tex](x+y)^2[/tex] must have y as a positive number.

Let's see this!

An easy way to complete the square if you have the constants for x2 and

But not the non-variable number is to divide the x constant, and then square it.

Example:

[tex]\frac{8x}{2} \\\\4^2=16[/tex]

The last number must be 16. Let's check it.

[tex](x+4)^2=x^2+8x+16[/tex]

Jasmine bought 32 kiwi fruit for $16. How many kiwi can Lisa buy if she has $4?

Answers

Answer:

8 kiwis

Step-by-step explanation:

32/16= 2

2 kiwi for $1

4*2= 8

Answer:

8

Step-by-step explanation:

Method 1:

32 kiwi = $16

(÷4)

8 kiwi = $4

(take $16 divided by $4 to find the number of sets of 8 kiwis. hope this helps.)

Ans: 8

Method 2:

$16 ÷ 32 = $0.50 (cost of 1 kiwi)

$4÷$0.50=8

In a survey, 3 out of 20 students were left-handed. Based on this information, if 300 students were interviewed, how many of them could be expected to be left-handed?

Answers

Based on the information given, from the fraction, it can be noted that the number of left-handed people will be 45.

From the information given, it was stated that in the survey, 3 out of 20 students were left-handed.

Therefore, in a population of 300 people, the number of left handed people will be:

= 3/20 × 300.

= 3 × 15

= 45

There are 45 left handed people.

Learn more about fractions on:

https://brainly.com/question/13763238

An artist spends $80 on brushes and paint. For canvas and
frames, she has to spend an additional $20 per painting.
Write an equation in slope-intercept form(y=mx+b) that shows
the relationship between the artist's total expenses(y) and the
number of paintings(x) that she makes.

Answers

Answer:

y = 20x + 80

Step-by-step explanation:

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