f(x)=x^2−10x+21 in factored form

Answers

Answer 1

Answer:

(x-7)(x-3)

Step-by-step explanation:

The factored form of f(x)=x^2-10x+21 is (x-7)(x-3). In order to find the factored form, you have to find what values add to -10, yet multiply to 21. So, the values that add to -10 and multiply to 21 are -7 and -3. x and x multiply to x^2.

In conclusion, the factored form of f(x)=x^2-10x+21 is (x-7)(x-3).


Related Questions

Figure 2 is a translation image of Figure 1. Write a rule to describe the translation.
The translation rule is (x,y) →(x+(blank),y+(blank).

Answers

Answer:

(x, y) → (x - 1, y + 2)

Step-by-step explanation:

This is a translation left and up

Compare the coordinates of corresponding points:

(-2, -1) becomes (-3, 1)

The difference is:

-3 - (-2) = - 1 for x and 1 - (-1) = 2 for y

The translation rule is:

(x, y) → (x - 1, y + 2)

Which of the following translations is needed to carry AEFG onto its image AEFG'?

Answers

Answer:

Option B

Step-by-step explanation:

It's given that ΔE'F'G' is the translated image of ΔEFG.

Let the ΔEFG has been translated 'h' units on x-axis and moved by 'k' units on y-axis.

Let's choose a point E having coordinates (-5, -7)

By the rule of translation, coordinates of the image point E' will be,

E(-5, -7) → E'(-5 + h, -7 + k)

Coordinates of the image point E' → (-9, 4)

Comparing both the coordinates of E',

E'(-5 + h, -7 + k) = E'(-9, 4)

-5 + h = -9

h = -9 + 5

h = -4

-7 + k = 4

k = 4 + 7

k = 11

Therefore, rule for the translation will be,

E(-5, -7) → E'(-5 - 4, -7 + 11)

(x, y) → (x - 4, y + 11)

Option B is the answer.

Choose the equation that is not a linear function.
A
8x + 12 = 2y
B
y =
x
5
+ 20
C
x = 12y
D
y = (2x)x

Answers

Answer:

The answer is D

Step-by-step explanation:

D, y=(2x)x

y=2x^2

this is a parabola, not a linear equation

Find the mean of 9, 1, 3, 9, 3 graphically

Answers

Answer:

The mean is 3

Step-by-step explanation:

9+ 1+ 3+ 9+ 3= 15

15/5= 3

which angles are complementary to eachother​

Answers

Answer:

1 and 5 are complementary angles

Step-by-step explanation:

A complementary angle is either of two angles whose sum is 90, meaning two opposite angles that add up to 90 degrees.

If you look at angle 3, you see that it is a right angle which is 90 degrees already so any answer containing 3 and another angle is incorrect.

Why 1 and 5 is the correct answer:

the angles 1 and 2 are right next to 3 which is a 90-degree angle, meaning that 1 and 2 add up to 90. angle 5 is opposite of 2 which means that angle 5 and 2 are equal.

So the 1 and 5 would add up to 90, making it the right answer.

Hope this helps you :)

The sum of two numbers is 53 and the difference is 23. What are the numbers?

Answers

Answer: The number is 38

Step-by-step explanation:

Solve 4(b−3)=64(b−3)=6

Answers

There is no solution!!!!!!!!!!!!!
There is no answer to this question but sorry bhgji

Solve for x for 180 ° < x < 270 ° . 1/sin^2 x=4

Answers

оун вы кому зб!!!!лыооыоы цыплят

help shawty’s i’m stressin

Answers

Answer:

A dilation is a type of transformation that changes the size of the image. The scale factor, measures how much larger or smaller the image is. Each type of dilation (one that gets larger and one that gets smaller).

Step-by-step explanation:

I don't know if this'll be enough help, but it's a brief definition.  

PLEASE ANSWER QUICKLY.
I WILL GIVE THE BRAINLIEST ASAP.

Answers

Answer:

options (c) is right answer

Answer: B

Step-by-step explanation:

The farmer is not correct. She sold _% of the onions and _ % of the turnips by noon on Saturday. If she had sold 4 more pounds of onions she will have sold _% of the onions. This percentage of onions sold ___ equal to the percentage of turnips sold. *: 20 25 :: 28 :: 32 :: 35 .: 40 :: 50 :: 56 :: 80 :: is .! is not​

Answers

Answer:

28 32 35 50

Step-by-step explanation:


SOS ... - - - ...

Will give brainliest help

Answers

Answer:

x = 11 , y = [tex]\frac{8}{3}[/tex]

Step-by-step explanation:

The opposite sides of a parallelogram are congruent

For the figure to be a parallelogram , then

ON = LM, that is

5x - 7 = 4x + 4 ( subtract 4x from both sides )

x - 7 = 4 ( add 7 to both sides )

x = 11

and

OL = NM , that is

3y - 4 = x - 7 = 11 - 7 = 4 ( add 4 to both sides )

3y = 8 ( divide both sides by 3 )

y = [tex]\frac{8}{3}[/tex]

the radius of a circle is 13 find its area un terms of pi​

Answers

Answer:

530.66

Step-by-step explanation:

A = πr²

13 x 13 = 169

169 x 3.14 = 530.66

Let me know if this helps!

HELP!!!! Put the following in order from greatest to least.

Answers

Answer:

A

Step-by-step explanation:

A = 9, 7, 5, -2, -6, -8

A tree in Chau's backyard has been growing for 2.4 years. The tree is .25 meters tall.
What is the unit rate in meters per year?

Answers

Answer:

0.1042 meters per year

Step-by-step explanation:

Find the unit rate by dividing 0.25 by 2.4

0.25/2.4

= 0.1042

So, the unit rate is approximately 0.1042 meters per year


Help me find length of missing side

Answers

Answer:

x=20.26

Step-by-step explanation:

tan40°=17/x

x=17/tan40°

x=20.25981107 or 20.26

Which is the equation of the parabola?

coordinate plane with a parabola facing down with vertex at negative 3 comma 0, the point negative 3 comma negative 5 and a horizontal line going through 0 comma 5

y = −one twentieth(x − 3)2
y = −one twentieth(x + 3)2
y = one twentieth(x − 3)2
y = one twentieth(x + 3)2

Answers

Answer:

y = -1/20(x + 3)²

Step-by-step explanation:

Consider the parent function:

y = x²

The graph of the function open up and the vertex is at the origin, the point (0, 0)

Now, if it opens down, it means it is a reflection of the parent function over x axis, hence it has a negative coefficient, the function becomes:

y = -x²

The vertex is shifted to the point (-3, 0). It means the function also translated left by 3 units, the function becomes:

y = -(x + 3)²

Since all the options have 1/20 as a coefficient, our function is:

y = -1/20(x + 3)²

This is option B

Mark hits a tennis ball into the air. He uses the equation shown to approximate the
height, h, in feet, of the ball t seconds after he hits it.
h = -1612 +886 + 4
What does the 4 represent in Mark's equation?
A.
The ball was in the air for a total of 4 seconds.
B.
The ball landed 4 feet away from where Mark hit it.
C.
The ball was 4 feet above the ground when Mark hit it.
D.
The ball reached its maximum height 4 seconds after Mark hit it.

Answers

Answer:

C. The ball was 4 feet above the ground when Mark hit it.

Step-by-step explanation:

After he hit the tennis ball into the air, the ball was 4ft above the ground.

hope this helps and is right. p.s i really need brainliest :)

if my answer is wrong then I am incredibly sorry!

Use a formula to find the surface area of the cylinder. Use 3.14 for pi

Answers

Answer:

A = 376.99

Step-by-step explanation:

A=2πrh+2πr2

Just plug in and solve:

A=2πrh+2πr2

A = 376.99

How to do it
Step by step

Answers

Step-by-step explanation:

23.35......is answer.......

A bag holds 2 red and 7 blue marbles. What is the probability of not selecting a red marble?
2/7
O a
Ob
7/2
2/9
Od
779

Answers

I think it’s b(not sure)

The radius of a cylindrical water tank is 6.5 ft, and its height is 12 ft. What is the volume of the tank?​

Answers

Answer:

.............. just for filling 20 characters

Name two triangles that are congruent by ASA.

Answers

Answer:

correct

Step-by-step explanation:

Angle-Side-Angle (ASA) Postulate:

If two angles and the included side of one triangle are congruent to two angles and the included side of another triangle, then the two triangles are congruent.

<C = <G

CA = GD

<A = <D

Triangle CAT = Triangle GDO are the two triangles that are congruent by the ASA Postulate.

A circle with center O is shown. Create the equation for the circle.​

Answers

Answer:

(5 - 1)^2 + (1 - 1)^2 = 4^2

Step-by-step explanation:

Circle equation: ( x - h )^2 + ( y - k )^2 = r^2

(h,K) is the coordinate of the center.

Center: (1,1)

(x,y) choose a point that could be the radius. (I choose the one on the top left side).

Point: (5,1)

Diameter: 8

Radius: 4

Plug in:

( x - h )^2 + ( y - k )^2 = r^2

(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)

Solve to see if it's true,

(5 - 1)^2 + (1 - 1)^2 = 4^2 (or 16)

4^2 + 0^2 = 4^2

16 = 16 (This is true, therefore, the equation is correct).

Answer:(x-1)^2 + (y-1)^2=16

Step-by-step explanation:

hey guys i kinda need help with this one assignment for today THANKS

Answers

Answer:

Basic physics and common sense would say that of course they'd reach the same height if placed an equal distance away. I don't really know what else to do

helpppppppppppppppppppppp​

Answers

I'll help you, I just don't understand what the exercise is asking for x or y?

The answer to rid question is A

On a map, Haven Rd and Pine Rd are parallel, and Mills Rd is a transversal. How can the
value of x be determined?

Answers

Answer:

B: Corresponding angles are congruent, so x = 43

Answer:

B: Corresponding angles are congruent, so x = 43

Step-by-step explanation:

Determine for each number whether it is a rational or irrational number.​

Answers

In order:

irrational

irrational

rational

rational

What is the surface area of this Square Pyramid?
10 in
5 in
5 in.

Answers

Answer:

Base Surface Area: 25 in^2

Total surface area A = 128.07764064044 in^2

(PLEASE NOTE THIS IS BASED ON THE HEIGHT BEING 10 IN AND SIDE LENGTH A BEING 5 IN (IF THIS IS INCORRECT COMMENT AND ILL FLIP IT)

Step-by-step explanation:

HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP HELP I NEED HELP ASAP
HELP I NEED HELP ASAP

Answers

Answer:

number 8 is $0

number 9 is D

Answer:

number 8 is $0

number 9 is D

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