Find the solutions to the quadratic. *
y = (x + 13)(x - 21)

Answers

Answer 1

Answer:

[tex]\huge\boxed{-13, 21}[/tex]

Step-by-step explanation:

The most common way to solve for the roots of a polynomial is to use the Quadratic formula, which will return us with two values of x that make the equation equal 0.

...however, this form of the equation is already in root form. If we multiplied these two terms, we'd get [tex]x^2 - 8x -273[/tex], and when we factor that, we'd get -13 and 21.

Roots are usually written in the form [tex](x-a)(x-b)[/tex], where the zeroes will be the value of x that makes each binomial equal 0 - aka, the opposite of a and b.

The opposite of 13 is -13, and the opposite of -21 is 21.

Therefore, the solutions of this equation are -13 and 21.

Hope this helped!


Related Questions

To the nearest​ millimeter, a cell phone is 135 mm long and 51 mm wide. What is the ratio of the width to the​ length?

Answers

Answer:

51:135

common factor is 3

51/3 = 17

135/3 = 45

17:45

What is the value of (-15/8 + 1.5) divided by (15 - 14 3/4) Please help :( this is worth my whole year grade

Answers

Answer:

-3/2 which is a

Step-by-step explanation: finding the exact value

The value (-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex])  = -3/2,

Hence, Option A is correct.

The given expression is,

(-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex])

Since we know,

Dividing two fractions is equivalent to multiplying the first fraction by its reciprocal. The first step in splitting fractions is to get the reciprocal of the second fraction (reverse the numerator and denominator). Then, multiply the numerators.

Here we have to find the value of the given expression is,

We can write it as,

⇒  (-15/8 + 1.5) ÷ (15 - 59/4)

⇒  (-15 + 12)/8  ÷ (60-59)/4

⇒  -3/8 ÷ 1/4

⇒  -3/8 x 4/1

⇒  -3/2

Hence,

(-15/8 + 1.5) ÷ (15 - [tex]14\frac{3}{4}[/tex])  = -3/2

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pLeAsE hElP mE...!!!!!!????? wut is 20 x 87

Answers

Answer:

69

jk 1740

Step-by-step explanation:

Answer:

well, the required answer is 1740

Step-by-step explanation:

it can be written as

=》 20 × ( 80 + 7 )

=》 1600 + 140

=》 1740

A lawn mowing service charges $280 to mow 8 acres and $385 to mow 11 acres. Find the slope in cost per acre.

Answers

Answer:

35/1

Step-by-step explanation:

slope = rate of change

dollar amount changed by 105 while acreage changed by 3

105/3 reduced to 35/1

rectangular television screens width is 29inches its height is 26 inches what is the length diagonal screen nearest whole number​

Answers

The answer which I got is 39 hope it’s right

Find The Quotient of 5/6÷ (-13/7)
5/6÷(-13/7)=5/6. ​

Answers

Answer:

- 35/78

Step-by-step explanation:

The quotient of

5/6÷ (-13/7) =5/6×(-7/13) =- 35/78

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31 points

Answers

Answer:

Thanks for free points have a nice day :)

The mean and standard deviation of the sample data collected on continuous variable are -0.25 and 0.03, respectively. The following table shows the
relative frequencies of the data in the given intervals.
Interval
Relative Frequency
0.02
0.15
0.33
-0.34 < x < -0.31
-0.31 <<< -0.28
-0.28 << -0.25
-0.25 < 3 < -0.22
-0.22 <3 < -0.19
-0.19 <<< -0.16
0.36
0.11
0.03
Based on the table, do the data support the use of a normal model to approximate population characteristics?
A Yes, because the sum of the relative frequencies is 1.00.
B
Yes, because the distribution of relative frequencies is very close to the empirical rule for normal models.
с
No, because the values are negative and normal models are used for positive values.
D
No, because the distribution of relative frequencies is very far from the empirical rule for normal models.
E
No, because the sample size and the population parameters are not known.

Answers

Answer:

B

Step-by-step explanation:

I know because I know that how

The correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

What is Mean?

The sum of all values divided by the total number of values determines the mean (also known as the arithmetic mean, which differs from the geometric mean) of a dataset. The term "average" is frequently used to describe this measure of central tendency.

To determine if the data supports the use of a normal model to approximate population characteristics, we need to examine the relative frequencies and see if they exhibit a bell-shaped or normal distribution.

Looking at the table, we see that the relative frequencies are not symmetrical and do not follow the empirical rule for normal models.

The largest relative frequency is in the interval from -0.28 to -0.25, and the frequencies decrease as we move away from this interval. Additionally, there are negative values in the data, which is not a characteristic of normal models.

Therefore, the correct answer is D. No, because the distribution of relative frequencies is very far from the empirical rule for normal models.

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Help quick what's 9+10

Answers

9+10=19.............

sont answer if u don't have a answer ​

Answers

Answer:

no association because there is no specific pattern

No association hope this helps!

y = x + 2
y = 2x - 5
what is x and y

Answers

Answer:

x= 7 y= 9 (7,9)

Step-by-step explanation:

solve by using system if equations. multiply top answer by 2, giving u 2y=2x+4 and y=2x-5 subtract the equations. y=9 (the x cancels out) then put 9 in for y. 9=x+2. subtract 2. giving u 7. and now x =7

PLEASE HELP!
answer correctly!!

what is the range of the function f(x) = 3/4 |x| - 3

Answers

Answer:

all real numbers greater than or equal to -3

Step-by-step explanation:

Range:  output values of a function (y-values)

Given function:

[tex]f(x)=\dfrac{3}{4}|x|-3[/tex]

This is an absolute value function so |x| ≥ 0

Therefore, as |x| ≥ 0:

[tex]\implies \dfrac{3}{4}|x|\geq 0[/tex]

[tex]\implies \dfrac{3}{4}|x|-3\geq -3[/tex]

So the range of the given function is [-3, ∞):

all real numbers greater than or equal to -3

Find m∠2. pls help!!!

Answers

Answer: 130

Explanation:

The green and red angles are alternate exterior angles. They alternate on either side of the transversal line. They are exterior because they are outside the parallel lines (think of the interior region as a river and the exterior regions as the shorelines).

Recall that alternate exterior angles are congruent when we have parallel lines. This is similar to how alternate interior angles are congruent due to parallel lines.

Since the angles shown are congruent, this must mean angle 2 is also 130 degrees.

1. One inch is around 27 centimeters.
IT
Inches
1
3
4
Centimeters
2
3
8
9
101
LL2
a. How many centimeters long is 3 inches? Show your reasoning.

Answers

7.62 centimeters long

Anybody know the answer to these

Answers

Answer:

4. b

5. c

6. d

7. c

8. d

Step-by-step explanation:

4. 1/5x-5=2

1/5x=7

x=35

5. 56= 4x+12

44=4x

11=x

6, 7. x+(x+1)+(x+2)=whatever

add the numbers you are provided and find the correct answer

8. the same thing as 6,7 but the formula is x+(x+2)+(x+4)+(x+6)

what does 3w =30 mean a. 6 b.9 c.10 d.12

Answers

Answer:

w = 10

Step-by-step explanation:

3w = 30

Divide each side by 3

3w/3 = 30/3

w = 10

Answer: Correct answer is c.10

Step-by-step explanation:

3w = 30  (It means you divide)

/3      /3    (You would divide both sides by 3)

w=10         (Then you're left with your answer w=10)

what is 56/160 in simplest form? ​

Answers

Answer:

7/20

Step-by-step explanation:

Just reduce by dividing by the GCF

Answer:

56/8= 7 160/8=20

Step-by-step explanation:

7/20 is your answer

Which equation requires the division property of equality to be solved? 201.6 = 11.2 f 35.4 = z divided by 3.1 StartFraction t Over 3.2 EndFraction = 15.1 201.6 = 11.2 + c

Answers

Answer:

c and a

Step-by-step explanation:

Answer:

A for a Edge ppl out dere

Step-by-step explanation:

im right

A rectangle has a height of 5 and a width of 4x^2-2x-6

Answers

i couldn’t type it so i took a picture of what it is

The formula 2 equals 18+ B plus he gives the perimeter P of a triangle decide links a B in C a triangular feel has issac measure 45 yards 29 yard and 34 yards with the perimeter of the field the perimeter of the field is?

Answers

Answer:

P = 646 yards

Step-by-step explanation:

The sides of a triangular field measure 45 yards 29 yard and 34 yards.

The formula that is used to find the perimeter is given by :

P = 2A+18B+C

Put A = 45, B = 29 and C = 34 to find the perimeter of the field.

P = 2(45)+18(29)+34

= 90 + 522 + 34

= 646 yards

Hence, the perimeter of the field is 646 yards.

HELPPPPPP PLSSSSSSSsssssssssssssssss

Answers

Answer:

Zero

Step-by-step explanation:

Slope is:

[tex]\frac{Change of y}{Change of x}[/tex]

Since there is no change of the y value, there is no slope.

Activity 12.1 Tax, Tip, and Discount
What percentage of the car price is the tax?
car price
tax

Answers

Answer:

25%

Step-by-step explanation:

(1/4)x100=0.25x100=25, The tax is 25%

help me im so sad determine the values of X for which f(x) is defined ​

Answers

Answer:

[tex]f(x) = \frac{(2x - 1)(3x - 2)}{9x - 4} \\ open \: brackets \\ = \frac{(6 {x}^{2} - 4x - 3x + 2) }{9x - 4} \\ = \frac{6 {x}^{2} - 7x + 2 }{9x - 4} \\ let \: x \: be \: 1 \\ f(1) = \frac{(6 - 7 + 2)}{(9 - 4)} \\ = \frac{1}{5} [/tex]

Which fraction is equivalent to 2/8??

Answers

The answer to that is 1/4

Someone please help me with this questions

Answers

Answer:

Coefficient Is the small 2

2.6 times 10 to the power of 21

Answers

Answer:

2.6e+21

Step-by-step explanation:

Stephanie ran three sprints during practice. Her first sprint was 175 yards, her second sprint was 150 yards, and her third sprint was 225 yards. What was the total distance that Stephanie sprinted?

Answers

Answer:

Stephanie sprinted 550 yards.

Step-by-step explanation:

Given that,

Stephanie ran three sprints during practice.

Her first sprint was 175 yards, her second sprint was 150 yards, and her third sprint was 225 yards.

We need to find the total distance that Stephanie sprinted. It is simply equal to the sum of all above sprints.

Distance = 175 yards + 150 yards + 225 yards

= 550 yards

Hence, Stephanie sprinted 550 yards.

how do u message i need to know

Answers

Answer:

like you wanna message on brainly? or...something else

All of the following represent the same function except _____.


y = x - 1
{(0, 1), (2, 3), (4, 5), (7, 8)}

x y
1 0
3 2
5 4
8 7

Answers

Answer:

let's take

y=0

when y=0,

y=x-1

therefore,

0=x-1

when we cross -1 the other side it becomes a positive. so when y=0, x=1.

answer for brainliest

Answers

the answer should be D, hope this helped :))

Answer:

the last option is the right answer

Step-by-step explanation:

last week:

d = 18

d = 18h = 6

this week:

d = 2.5h

i. if she walked for 6 hours this week, h = 6

d = 2.5h

d = 2.5 × 6

d = 15

* this means she walked at slower pace this week as she can only cover 15 miles in 6 hours whereas she can cover 18 miles in 6 hours last week

ii. if she walked for 18 miles this week, d = 18

d = 2.5h

18 = 2.5h

h = 18/ 2.5

h = 7.2

* this means she walked at a slower pace this week as she needs 7.2 hours to cover 18 miles whereas she only need 6 hours last week

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