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

please helppp i’m on a time limit

Answers

Answer:

It is 3 because it is both in red and blue and that is the only section that shows it’s in both

Answer:3

It’s 3 I THINK sorry if this is late. Key word: think :,)


What is the volume of the cuboid?​

Answers

Answer:

180cm

Step-by-step explanation:

4cm*5cm*9cm=

Answer:

180

Step-by-step explanation:

Length=9cm

Height=5cm

Width=4cm

So,

9cm×5cm×4cm

=9cm×20cm

=180cm³

HELP GIVING BRAINLIEST NUMBER 5!!!!!!

Answers

Answer:

1 solution

Step-by-step explanation:

4x + 5 = 6(x+3) - 20 - 2x

4x + 5 = 6x + 18 - 20 - 2x

4x + 5 = 4x -2

X = 3 therefore, there is only one solution

The multiplication property of equality could be used to solve which of the following equations?
OX+2)x-3) = 0
m+7=-12
OD-2) = 18
03+y=7

Answers

Answer:

I pretty sure its C. OD-2) = 18

Step-by-step explanation:

someone help ASAP!!!! Please it would mean so much if you helped me!

Answers

The answer is Y=x+2 hope that’s right

Find the distance between 3,4 and 3,9

Answers

Answer:

The answer is 5.

Step-by-step explanation:

The distance formula is ↷

[tex] d\sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } [/tex]

All we got to to do right now is plug in!

[tex] d = \sqrt{(x_2 - x_1)^{2}+ (y_2 - y_1)^{2} } \\ d = \sqrt{(3 - 3)^{2} + (9 - 4)^{2} } \\ d = \sqrt{(0)^{2} + (5)^{2} } \\ d = \sqrt{0 + 25} \\ d = \sqrt{25} \\ d = \sqrt{5} [/tex]

Therefore, the distance between 3,4 and 3,9 is 5.

the equation of the line which has a gradient of 3 and passes through the point (-1,3)

Answers

Answer:

Call the line (d): y = ax + b

(d) intersects the vertical axis at the point where the intersection is 3 ⇒x = 0, y = 3 Instead of (d) we have: b = 3

(d) intersects the horizontal axis at the point where the coordinate is -1 ⇒x = −1, y = 0 Instead of (d) we have: −a + b = 0

Replace into b = 3 into -a + b = 0 we have: −a + 3 = 0⇔a = 3

So the equation for the line is y = 3x + 3

Step-by-step explanation:

The data for three different relay race runners is represented below. Use the representations of each runner to determine which runner starts running closest to the starting line.

Answers

Answer:

It's C or the third option.

Step-by-step explanation: Edge 2021

Answer:

C.

Explaination:

just did on edge 2021

hiii please help i’ll give brainliest if
you give a correct answer and maybe explain thankss

Answers

Answer:

4:3

16:12

Step-by-step explanation:

Both of those numbers can be multiplied or divided to equal 8:6

What is the value of x?
45°
m
1(2x - 5)°
n

Answers

Answer:

x = 70

Step-by-step explanation:

The 2 given angles are same- side interior angles and are supplementary, that is sum to 180° , then

45 + 2x - 5 = 180, that is

2x + 40 = 180 ( subtract 40 from both sides )

2x = 140 ( divide both sides by 2 )

x = 70

7(n+4)= 21 what’s does n equal

Answers

Answer:

Step-by-step explanation:

here you go mate

step 1

7(n+4)= 21  equation/Question

step 2

7(n+4)= 21  simplify

7n+28=21

step 3

7n+28=21  subtract

7n=-7

step 4

[tex]\frac{7n}{7} =\frac{-7}{7}[/tex]Divide

answer

n=-1

Shelby ordered a set of orange and blue pins. She received 92 pins, and 25% of them were orange. How many orange pins did Shelby receive

Answers

Answer:

23 orange pins did Shelby receive.

Step-by-step explanation:

25% = 0.25

92 × 0.25 = 23

Find the exact length of the third side.
39
36

Answers

The answer is 15 cm

39 cm, 15 cm, 36 cm

11x – 2y = 20 in slope intercept form

Answers

Answer:

[tex]y=\frac{11}{2}x-10[/tex]

Step-by-step explanation:

Answer: y= 11/2 x - 10

Step-by-step explanation: I think

CAN SOMEONE HELP ME ON ALL AND THOSE ANSWERS ARE ANSWERS FOR THESE PROBLEMS PLS HELP ME I WILL GIVE BRAINLIST ):

Answers

1. 30
2. 18
3. 12.56
4. 9.42
5. 8pi
6. 5pi
7. 62.8
8. 7.5
:)

please help its algebra 1

Answers

Answer: She can take 25 students.

Step-by-step explanation:

If she has 150 dollars and the bus costs 100, and she only charges 2 dollars each, then 50 divided by 2 equals 25

Answer:

I think 25 students

Step-by-step explanation:

Her budget is $150 .She is already paying $100 for the bus so you have $50 dollars now.If each student is charged $2 all you have to do is divide $50 by 2 and that gets you 25.So 25 students.Hope this helped =)

Which typist is faster,
Glenda, typing 195 words in 3 minutes, or
Jorge, typing 236 words in 4 minutes?
How do you know?
please help <3

Answers

Answer:

Glenda is faster

Step-by-step explanation:

Glenda types 65 wpm (195/3), and Jorge types at 59 wpm (236/4)

help pleaseee I really need this done​

Answers

Angle 1 is 115 and angle 2 is 65.

what is the ordered pair to y=7x-2

Answers

It would be (0,-2) I believe

Help with number 2 please

Answers

I’m not sure what the answer is, i’ve been staring at it for quite a while. But i need p0ints, so thank you.

Answer:

3 in a half miles

Step-by-step explanation:

to the nearest 50 square feet what is the area of the actual store?​

Answers

the answer is C have a good day


MATH LOVERS PLS!!!!!!!

Answers

Answer:
7) C
8) A
9)D
10)B

Helpppp meeeeee pleaseeeee

Answers

Answer:

x+3=5 is the answer you're looking for.

Answer:

x+3=5

Step-by-step explanation:

Identify the two values of x that make 10x – 8 > 2(4x + 2) true.

Answers

Answer:

6 and 4

Is the answer

The line plots shows the weights of 9 grapefruits. What is the difference in the total weight of all the 1 1/2 lb grapefruits and the total weight of all the 1 1/4 lb grapefruits? A 1/4lb B 2 lb C 4 1/2lb D 7 lb

Answers

Answer:

The difference of weight is [tex]2[/tex] pounds.

Step-by-step explanation:

Given:  The line plots shows the weights of [tex]9[/tex] grapefruits

To find: The difference in the total weight of all the [tex]1\frac{1}{2} lb[/tex]  grapefruits and the total weight of all the [tex]1 \frac{1}{4}lb[/tex] grapefruits.  

Firstly, we need to convert the given mixed fractions as following:

[tex]1\frac{1}{2} lb=\frac{2+1}{2}=\frac{3}{2}lb[/tex]

[tex]1\frac{1}{4} lb=\frac{4+1}{4}=\frac{5}{4}lb[/tex]

Now, we know that,

Point diagrams divide a sample into different classes, and allow to observe the frequencies of each class.

In this case, the different weights of the grapefruit constitute the classes. From a sample of 10 grapefruit, some will weigh  others weigh.

We need to observe the dot diagram to know how many  grapefruit we have of weight [tex]\frac{3}{2} lb[/tex] and how many  grapefruit we have of weight [tex]\frac{5}{4} lb[/tex]. In other words, we need to know, in the diagram, how many points there are about class of  [tex]\frac{3}{2} lb[/tex] and how many points there are about class of   [tex]\frac{5}{4} lb[/tex].

Then, the total difference between all grapefruit of  pounds and all grapefruit of pounds is calculated as follows:

[tex]x (1\frac{1}{2} ) - y (1\frac{1}{4} ) = Z[/tex]

Where

[tex]Z[/tex]: Weight difference

[tex]x[/tex]: Quantity of [tex]1\frac{1}{2} lb[/tex]  grapefruit

[tex]y[/tex]: Quantity of [tex]1\frac{1}{4}lb[/tex] grapefruit

Suppose that of the [tex]10[/tex] total grapefruits, [tex]3[/tex] of them weigh [tex]1\frac{1}{2} lb[/tex]  and [tex]2[/tex] of them weigh [tex]1 \frac{1}{4}[/tex]  pounds. This is: [tex]x=3[/tex] and [tex]y=2[/tex]

Now,

[tex]3(\frac{3}{2} )-2(\frac{5}{4} )[/tex]              

[tex]=\frac{9}{2} -\frac{5}{2}[/tex]                    

[tex]=\frac{4}{2}[/tex]            

[tex]=2[/tex]

Hence, for this case, the difference of weight is [tex]2[/tex] pounds.

NEED HELP FAST PLEASE.
Please answer all these.
AND BECAUSE YOUR GONNA ANSWER ALL OF THEN IMA GIVE YOU 50 POINT

Answers

Answer:

60

Step-by-step explanation:

Give good evidence to back it up and i will give brainliest. thnx to whoever helps.

Answers

Answer:

Step-by-step explanation:

well, every hour she drives, she loses 2 gallons. so when she was 2 hours in, she was at 8 gallons, when she was 1 hour in, she was at 10 gallons, and when she started, she was at 12 gallons.

Please somebody HELP!!!! 100 PTS!!!
log1/2 8 = -3 1/3 3

Answers

Answer:

-3

Step-by-step explanation:

[tex]log_{\frac{1}{2} }8=-log_{2}8=-log_{2} (2^{3})=-3[/tex]

Answer:

-3

Step-by-step explanation:

i forgot how to do the log thingy but the guy on top is also correct

Solve for z.

Z/4 - 11= -9

Z=

Answers

Answer:

8

Step-by-step explanation:

z/4 - 11 = -9

z/4 = 2

z = 8

Greatest common factor of 4 and 19?​

Answers

Answer:

The greatest common factor of 4 and 19 is 1

Step-by-step explanation:

Answer:

Greatest common factor of 4 and 19 is 1

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