Given the quadratic equation: f(x) = x2+4x-21

What are the factors of the quadratic (factored form/intercept form)? Show your work.
PLEASE HURRY

Answers

Answer 1

[tex]f(x)=x^2+4x-21\\f(x)=(x+7)(x-3)[/tex]

These are x-intercepts form. So the answer is (x+7)(x-3).


Related Questions

Find the volume of a cylinder with a radius of 4 in and a height that is 3 times the radius

Answers

Answer:

Volume of a cylinder: V = π * r² * h ,

Base surface area of a cylinder: A_b = 2 * π * r² ,

Lateral surface area of a cylinder: A_l = 2 * π * r * h ,

Total surface area of a cylinder: A = A_b + A_l ,

Step-by-step explanation:

So, when the radius is tripled, the volume will be 3 squared = 9 times than the previous one.

Answer:

602.88 in^3

Step-by-step explanation:

3.14 * 4^2 * 12

3.14 * 16 * 12

50.24 * 12

(50 * 12) + (0.24 * 12)

600 + 2.88

602.88 in^3

Simplify 6a^2b^-2/8a^-3b^3
Assume a≠0 b≠0

Answers

Answer:

3/4

Step-by-step explanation:

reducing 6/8 would be 3/4, and if a and b = 0, then anything multiplied by 0 would be nothing so there wouldn't be and variables

Answer:

the answer is C

Step-by-step explanation:

edge

If you made 3 lawns and made 25.50 how much per lawn

Answers

Answer:

76.5

Step-by-step explanation:

25.50 x 3 = 76.5

Answer:

$8.50

Step-by-step explanation:

put 25.50/3 and you get 8.50

A car dealer is calculating the list price for a used car. The dealer takes the initial price of the car and adds $259 dollars for cleaning and shipping the car to the dealer. The dealer then increases that price by 25% for the dealer’s profit. That price is then increased again by 10% for the salesperson’s commission. If a used car is initially priced $10,000, what will be the list price for this car?

Answers

Add the 259 to the initial price:

10,000 + 259 = 10,259

Increase that price by 25%, so multiply by 1.25:

10259 x 1.25 = 12,823.75

The price is then increased by another 10%, multiply by 1.10:

12,823.75 x 1.10 = 14,106.13

List price = $14,106.13

How many 1/2 s are in 4 ?

Answers

Answer:

8

Step-by-step explanation:

To find this multiply 4/1 by 2/1.

4/1 x 2/1 = 8/1 = 8.

I hope this helped and if it did I would appreciate it if you marked me Brainliest. Thank you and have a nice day!

Answer:

8

Step-by-step explanation:

simply 1/2+1/2+1/2+1/2+1/2+1/2+1/2+1/2

Help! Hopefully y’all can see that alright..

Answers

Answer:

F and G

Step-by-step explanation:

What is the slope of the line that passes through the points (6, 7) and (4, 1)?

Answers

Answer:

m = 3

Step-by-step explanation:

[tex]m=\frac{1-7}{4-6}=\frac{-6}{-2}=\boxed{3}[/tex]

Hope this helps.

Answer:

3

Step-by-step explanation:

y¹-y²

------

x¹-x²

substitute then solve.

7-1 6

------ --> ----

6-4 2

6/2=3 so slope is 3.

Find the midpoint of (2,-9) and (-4,-4)

Answers

(-1, -6.5). ************
The midpoint is (4,5)

Solve by completing the square: x^2+3x-9=0

Answers

Step-by-step explanation:

x=-4.854 or x=1.854

hope this helps

Answer:

C edge 2020

Step-by-step explanation:

i got it right on the practice.

State the x-intercept and the y-intercept of the line.
a.-10;5
b.-9;5
c.-10;4
d.-11;6

Answers

The answer is C
Because the line intersects the x axis at -10 and intersects the y axis at 4.
Hope this helps :D

helpppppppppppppppppppppppppp

Answers

The answer is: 8m=152

PLEASE HELP!!!
In the diagram below of triangle ABC, D is a midpoint of AB and E is a midpoint
of BC. If m of ZCAD?

Answers

Answer:

The measure of ∠CAD is 69°

Step-by-step explanation:

In ΔABC

∵ D is the mid-point of AB

∵ E is the mid-point of BC

DE is parallel to AC

→ From parallelism

∵ DE // AC

m∠EDB = m∠CAD → corresponding angles

∵ m∠EDB = 83 - 7x

∵ m∠CAD = 7x + 55

→ Equate them

7x + 55 = 83 - 7x

→ Add 7x to both sides

∵ 7x + 7x + 55 = 83 - 7x + 7x

∴ 14x + 55 = 83

→ Subtract 55 from both sides

∵ 14x + 55 - 55 = 83 - 55

∴ 14x = 28

→ Divide both sides by 14

x = 2

→ To find m∠CAD, substitute x by 2 in its measure

∵ m∠CAD = 7(2) + 55

∴ m∠CAD = 14 + 55

∴ m∠CAD = 69°

The measure of ∠CAD is 69°

y=2,y=-1/2 thats the equation but it told me to write more idk why

Answers

More information is needed.

Find the measure of angle BCD

Answers

Answer: D

Step-by-step explanation:

Two rectangles are similar. The ratio of the length of rectangle A to the length of rectangle B is 1:4. If the length of rectangle B is 14 meters, what is the length of rectangle A?

Answers

Answer:

Hey have you tried on your own to make sure you understand it?

Step-by-step explanation:

Which one is it please help

Answers

Answer:

D

Step-by-step explanation:

I have studied this Equanitary Problematic job and Come to conclusion that the answer is of the Upon the letter D or as many other livings would say The numbering of Four.

Hope This has helped you tons a bunch and I would appreciate the giving of what is it called.. um... This Brainliest. I hear it’s your Finest dish! I will be the judge of that .

Solve for x. 0.2(8x-4)=0.3(10-2x)

Answers

Answer:

x = 1.727

Step-by-step explanation:

0.2(8x-4) = 0.3(10-2x)

1.6x - 0.8 = 3 - 0.6x

2.2x = 3.8

x = 1.727

hope this helps, pls mark brainliest :D

Can someone help me plz I will mark brainliest

Answers

the answer is infinite because they equal each other

4x + 2(2x – 5) – (3 – 5x).

Answers

Answer:

=13x−13

Step-by-step explanation:

Its 13x-13 hope this helped!!

what is i^75 i need this so help me

Answers

Answer:

i^75 = - i

Step-by-step explanation:

Hope you got it

Layton conducts an experiment throughout the school year to determine the most common answer
choice used by teachers at his school. The data he collected is shown in the table.

Which of the following is a valid conclusion based on the data he collected?
A. A student would be equally likely to select answer choice C as they would to select answer
choice A and D

B. A student would be equally likely to select answer choice A and B as they would to select
answer choice C

C. A student would be twice as likely to select answer choice C than answer choice A

D. A student would be less likely to select answer choice B than answer choice A

Answers

Answer:

pick a because the data is better for that chart

The sum of two integers is 31. The larger of the two integers is 4 more than 2 times the smaller integer. What are the integers? 9 and 22 -22 and 53 allo -9 and 40 14 and 17​

Answers

Answer:

x = 22 y = 9

Step-by-step explanation:

Let me know if you need an explanation! Hope this helped :)

Help pls and thank you!!

Answers

Answer:

it's 8x

hope i could help :)

Write the Slope-Intercept and Point-Slope forms of the line passing through the point (-3, 2) and having a slope of -4/5

Answers

Answer:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

Step-by-step explanation:

The slope-intercept form of a line is written as y = mx + b, where m is the slope and b is the y-intercept.

The point-slope form of a line is written as y - y1 = m(x - x1), where (x1, y1) is a given point and m is the slope.

Here, we see that the slope is -4/5, which means that m = -4/5. Since we're given a point (-3, 2), let's go ahead and just write the point-slope form already. (x1, y1) = (-3, 2) so x1 = -3 and y1 = 2. Then:

y - y1 = m(x - x1)

y - 2 = (-4/5) * (x + 3)

[tex]y-2=\frac{-4}{5} (x+3)[/tex]

Now, we want to find the slope-intercept form, so we need to figure out the y-intercept. Well, first, let's plug in what we know:

y = mx + b

y = (-4/5)x + b

Any point on this line will satisfy the above equation. Since (-3, 2) is on this line, if we plug -3 in for x and 2 in for y, the equation should hold true, so we can solve for b:

y = (-4/5)x + b

2 = (-4/5) * (-3) + b

2 = 12/5 + b

b = -2/5

So, the y-intercept is -2/5. Then the slope-intercept form is:

[tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

Thus, our two equations are:

slope-intercept: [tex]y=\frac{-4}{5} x-\frac{2}{5}[/tex]

point-slope: [tex]y-2=\frac{-4}{5} (x+3)[/tex]

Norma made 16 braided bracelets. She split them evenly among g gift boxes. Write an expression that shows how many bracelets were in each box.

Answers

Answer:

16/g

Step-by-step explanation:

Answer:

the correct answer is 16÷g

Step-by-step explanation:

why 16÷g because the explanation said 16 braided bracelets. and the gift boxes was g so i think its 16÷g

A town is storing salt for the winter in a cylindrical building. The building has a radius of 5 ft and is 30 ft tall. The building contains 1,500 ft3 of salt. What is the approximate height that the salt reaches in the building?
The answer are:
A. 0.5 ft
B. 5 ft
C. 19 ft
D. 22 ft

Answers

Answer:

To start off, we know the problem involves something with volume as it is 3D and has a cubic in it.

We know r = 5, h = 30, and v = 1500

The volume for a cylinder in 3d is : V=[tex]\pi[/tex][tex]r^{2}[/tex]h

We're solving for the height when the cylinder has a volume of 1500, therefor, we will solve for height.

Using our volume equation we plug in all values except h because we're solving for it.

1500=[tex]\pi r^{2} h[/tex]

1500=[tex]\pi 5^{2} h[/tex]

1500=25[tex]\pi[/tex](h)

1500/25[tex]\pi[/tex] = h

60/[tex]\pi[/tex] = h

60/[tex]\pi[/tex] = 19.0985

H is 19ft. (C)

Heather bought a pair of shoes for$75. She paid an 8.4% sales tax. What is the amount of sales tax she paid?​

Answers

Answer: 6.3

Step-by-step explanation:

 Kiba and Akamura went out to eat. Their bill was $ 59.76. If Kiba leaves a 7% tip and 8% tax, how much did he pay in total?

Answers

Answer:

Step-by-step explanation:

(tip)4.183+(tax)4.7808=8.9638 (this is the tip and tax)

59.76+8.9638=68.7238

You can include the thousandth but some school don't use that so you could put 4.781 for tax and 8.964 for tip and tax sum and for the total of everything 68.724

The volume of a cylinder is 401.92 cubic inches.
If the height of the cylinder is 2 inches, what is
its radius?

Answers

Radius = sqr v/(pi * h)
Radius = sqr 401.92/(3.14 * 2)
Radius = sqr 401.92/6.28
Radius = sqr 64
Square root of 64 = 8
Solution: the radius is 8

For which value of a will the equation 3x – 2 = 3x – a have an infinite number of solutions?
A. 2
B. 3
C. 4
D. 5

Answers

Answer:

A.2

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

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