Please help me solve this! x^2-4x-21 as a product of binomial factors

Answers

Answer 1

Answer:

( x-7) (x+3)

Step-by-step explanation:multiply to -21 and add to -4

-7 * 3 = -21

-7+3 = -4

( x-7) (x+3)


Related Questions

Death Valley, located in California, is the lowest place in North America. It is 282 feet below sea level, or -282 feet. The Dead Sea, in Asia, is the lowest place on Earth. It's elevation is approximately 4.82 times the elevation of Death Valley. What is the approximate elevation of the Dead Sea?

Answers

Answer:

1359.24

plz mark brainly

Step-by-step explanation:

Which algebraic expression is equivalent to the expression below? 5x + 10x + x


A. 11x

B. 8x

C. 17x

D. 16x

Answers

Answer: D

Step-by-step explanation: Just simplify the whole expression. It’s all the same variable. 5x+10x= 15x. 15x+x=16x.

Answer:It’s D
Explanation:

Need help desperately, I dont want to fail. please answer​

Answers

pretty sure it’s (2, -2)

Please help me with this. If you show your work I will give brainliest if there are 2 answers

Answers

Answer:  22.5

Work Shown:

450 calories = 20 ounces

450/20 calories = 20/20 ounces ..... divide both sides by 20

22.5 calories = 1 ounce

This smoothie has 22.5 calories per ounce.

Josh rents a kayak at a nearby state park. He pays a flat rate of $12.99 plus $3.75 for
each hour that he spends in the water. How much did Josh spend if he was on the river
for 4 hours?

Answers

Answer:

Whats a kayak?

Step-by-step explanation:

Solve -3(5x-9) please

Answers

Answer:

12

Step-by-step explanation:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

Answers

Answer:

The correct option is a. Amy’s balance would be greater than Hank’s in the end.

Step-by-step explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Amy invested $500 per month in a 401k that earned 6% annual return for 40 years. Hank invested $1,000 per month in a 401k that also earned 6% annual return, but for 20 years. Which of the following would be true?

a. Amy’s balance would be greater than Hank’s in the end.

b. Amy’s balance is $5,142 and Hank’s balance is $3,207.

c. Hank’s balance would be greater than Amy’s in the end.

d. The investment and balance would be the same.

e. None of these are true

The explanation to the answer is now given as follows:

The balance in the end for each can be determined using the formula for calculating the Future Value (FV) of an Ordinary Annuity as follows:

FV = M * (((1 + r)^n - 1) / r) ................................. (1)

Where;

For Amy:

FV = Future value or balance in the end = ?

M = Monthly investment = $500

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 40 years * 12 months = 480

Substituting the values into equation (1), we have:

FV = $500 * (((1 + 0.005)^480 - 1) / 0.005)

FV = $500 * 1,991.49

FV = $995,745.37

Therefore, Amy’s balance would be $995,745.37 in the end.

For Hank:

FV = Future value or balance in the end = ?

M = Monthly investment = $1,000

r = Monthly interest rate = 6% / 12 = 0.06 / 12 = 0.005

n = number of months the investment will be made = 20 years * 12 months = 240

Substituting the values into equation (1), we have:

FV = $1,000 * (((1 + 0.005)^240 - 1) / 0.005)

FV = $1,000 * 462.04

FV = $462,040.90

Therefore, Hank’s balance would be $462,040.90 in the end.

Conclusion

Since Amy’s balance of $995,745.37 is greater than Hank’s balance $462,040.90, it therefore implies that the correct option is a. Amy’s balance would be greater than Hank’s in the end.

What value of θ makes the statement true?
cos(θ)=sin(θ/3−10)

Answers

The required value of  θ  for the trigonometric function cos(θ)=sin(θ/3-10) is 60°.

What are trigonometric functions?

The  basic Trigonometric functions are sine, cosine, tangent, secant, cosecant and cotangent.

The given equation is,

cos(θ)=sin(θ/3-10)          (1)

To find the value of θ,

Change the whole equation into one trigonometric function,

Since, cos(θ)=sin(90-θ)

Substitute this value in equation (1)

sin(90-θ)=sin(θ/3-10)

⇒90-θ=θ/3-10

⇒4θ/3=80

⇒θ=60

The value of θ is 60°.

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Can anyone help me find parallel segments in this diagram ? It doesn’t matter if it’s just a few or 2

Answers

Answer:

A-F parallel to B-D

B-A parallel to D-F

B-F parallel to C-E

Step-by-step explanation:

Line segment A-F is parallel to B-D

Line segment B-A is parallel to D-F

Line segment B-F is parallel to C-E

Find the quotient of 60:5

Answers

Answer:

12

Step-by-step explanation:

Answer:

12

Step-by-step explanation:

60:5 = 60/5. 60/5=12

thankyou! the answer was wrong you saved me.

Answers

Answer:

hey

Step-by-step explanation:

Use the figure to find the measure of
the angle. Explain your reasoning.

1. ∠4

2. ∠5

3. ∠8

4. ∠6

Answers

Answer:

1. ∠4 = 152°

2. ∠5 = 152°

3. ∠8 = 152°

4. ∠6 = 28°

Step-by-step explanation:

1. ∠4 and 152° are vertical angles. Therefore, m∠4 = 152°.

2. ∠5 and 152° are corresponding angles. Therefore, m∠5 = 152°

3. ∠8 and 152° are alternate exterior angles, therefore, m∠8 = 152°

4. ∠6 and <8 are a linear pair. Therefore,

m∠6 + m∠8 = 180°

m∠6 = 180° - m∠8

m∠6 = 180° - 152°

m∠6 = 28°

Can you help with the 2 that are not correct?

Answers

Answer:

MPO=MNO

NPO=MNP

Step-by-step explanation:

MPO=MNO because MPO opposite angles of a parallelogram are congruent.

MNO is the top right angle of the parallelogram and so the opposite side of that is MPO or OPN whatever way you want to write it.

NPO=MNP because they are alternate interior angles.  (If you don't understand what that means I can come back and explain it)

Convert 144 pounds to kilograms. Use 1 kg = 2.2 Ib. Round your answer to the nearest tenth. kg​

Answers

Answer:

Since 1 kg is equals to 2.2 lb. You divide 144 by 2.2 :

144/2.2

=65.45

=70 kg

Convert 86 to base 5.

Answers

Answer:

321

Step-by-step explanation:

Conversion of 86 to base 5 will be done through base 10 to base 5 and it will be (321)₅.

How to convert any number into base 10?

To convert any number to base 10 we have to multiply its unit digit by 10⁰ and its tenth digit by 10¹.

After it, we need to add it. It will give us a number of the 10 bases.

Conversion of any 10 base number into base 5

To convert any number to base 5 we need to divide by 5 and write the remainder each time thus we need to write the quotient from down to up.

Converting 86 to base 10

⇒ 8ₓ10¹ +8ₓ[tex]10^0[/tex]

86₁₀

Converting 86₁₀ into 86₅

When the number 86 is converted in a base of 5 will be (321)

Since we need to go down to up to 321₅ will be the correct answer.

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Which property justifies drew first step ?



A.commutative property of multiplication

B.associative property of addition

C. subtraction property of equality

D. distributive property of multiplication over addition

Answers

D) Distributive property of multiplication over addition


Which values, in order, will complete the table

Answers

Answer:

A or -1/2, -rad2/2, -rad3/2

Step-by-step explanation:

Right on edge

Answer:

A

Step-by-step explanation:

correct on edge 202222222

I need answers for both! plz help
Lealani has 24 scoops of high-fiber chimp food.

a. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to baby chimps? Recall that baby chimps need 40% high-fiber food and 60% high-protein food.

b. How many scoops of high-protein food should Lealani add to the mix if she wants to give it to adult chimps? Recall that adult chimps need 60% high-fiber food and 40% high-protein food.​

Answers

Answer: a = 14.4 scoops; b = 9.6 scoops

Step-by-step explanation:

a.) 40% of the high fiber scoops is 9.6. We need to figure out how much of the high protein she needs, so we would subtract the 9.6 from 24 and get 14.4.

b.) Solved the same as the first problem but with different numbers. 60% of her high fiber food is 14.4, so subtract that from 24 and you get 9.6.

Hope this helps! :) Sorry if I made a mistake

57.8 divided by 81, estimate quotient

Answers

Answer:

0.71358024691 But really you can say .7

Clare ran 4 miles on Monday. Then for the next six days, she ran the same distance each day. She ran a total of 22 miles during the week. Which tape diagram represents this situation?

Answers

Answer:

In a week we have 7 days.

On the first day, Clare runs 4 miles.

On the other six days, she runs the same distance, let's call it D.

In total, she runs 22 miles.

Then:

4mi + 6*D = 22 mi

6*D = 22mi - 4mi = 18mi

D = 18mi/6 = 3mi.

Then the other 6 days, Clare runs 3 miles, then the tape diagram would look something like:

[tex]\left[\begin{array}{cccccc}Monday&-&-&-&-\\Tuesday&-&-&-\\Wednesday&-&-&-\\Thursday&-&-&-\\Friday&-&-&-\\Saturday&-&-&-\\Sunday&-&-&-\end{array}\right][/tex]

Where each "-" represents one mile.

Answer:

3 miles

Step-by-step explanation:

The school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Using the dimensions indicated on the drawing, what is the total area of the new room?

Answers

Answer:

the total are is 459

Step-by-step explanation:

3  3/16 divided by 1/8 = 25 1/2 or 25.5

2  1/4 divided by 1/8 = 18

so 18 x 25.5 = 459

hope this helps

The total area of the new room is 459.

What is the scale factor?

The ratio between comparable measurements of an item and a representation of that thing is known as a scale factor in arithmetic.

WE are given that school Library was building a new one-room addition. the architects drawing shown below uses the scale 1/8 in = 1ft

Dimensions: 2 1/4 and 3 3/16

Therefore,

3  3/16 divided by 1/8 = 51/2 or 25.5

2  1/4 divided by 1/8 = 18

Thus we have the area

= 18 x 25.5

Area = 459

The total area of the new room is 459.

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How long will it take an investment to double in value if the interest rate is 6% compounded continuously

Answers

Answer:

11.55 years

Step-by-step explanation:

Formula to calculate the final value when the money is compounded continuously is,

Final value = [tex]\text{(Present value)}.e^{rt}[/tex]

Here 'r' = rate of interest

t = duration for the investment

Let the money invested = $x

We have to find the duration in which the present value gets doubled.

Final value = $2x

Rate of interest = 6% per year ≈ 0.06

By substituting these values in the formula,

[tex]2x=x.e^{0.06t}[/tex]

[tex]2=e^{0.06t}[/tex]

ln(2) = [tex]\text{ln}e^{0.06t}[/tex]

0.693147 = 0.06t

t = 11.55 years

Therefore, invested amount will be doubled in 11.55 years.

the process of finding factors​

Answers

Finding a factor meaning figuring variables that contribute to that value. For example: 10 the factors are 1,2,5,10 (1x10),(2x5),(5x2). Another example is 20 it’s factors are 1,2,4,5,20 (1x20),(2x10),(4x5),(5x4),(20x1)

Graph a line with a slope of 4 that contains the point (3,0).

Answers

Hi there!

Recall that slope-intercept form is:

y = mx + b

Where m = slope

In this instance, we are given a slope of 4, therefore:

y = 4x + b

Substitute in the x and y coordinates of the point given:

0 = 4(3) + b

0 = 12 + b

Subtract 12 from both sides:

-12 = b

Therefore, the equation would be:

y = 4x - 12

Graph the equation by finding x and y values or using a calculator:

x = 0, y = 4(0) - 12 = 12            (0, 12)  

x = 1, y = 4(1) - 12 = -8               (1, -8)

x = 2, y = 4(2) - 12 = -4             (2, -4)

x = 3, y = 4(3) - 12 = 0              (3, 0)

And so forth:

To graph a line passing through a point (3, 0) and slope 4, we will find the equation of the line first.

Since, equation of a line passing through a point (h, k) and slope 'm' is given by,

y - k = m(x - h)

Therefore, equation of a line passing through (3, 0) and slope 4 will be,

y - 0 = 4(x - 3)

y = 4x - 12

For y-intercept put x = 0 in the equation,

y = 4(0) - 12

y = -12

For x-intercept put y = 0 in the equation,

0 = 4x - 12

x = 3

Therefore, line will intersect x-axis at (3, 0) and y-axis at (0, -12).

              By joining these points we can find the graph of the line passing through (3, 0) and having slope = 4.

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Rachel and Hugo sorted 236 crayons into boxes for a local arts project. Each boz had 10 crayons. How many crayons were left over?

Answers

If there are 236 dragons which you sorted into boxes of 10 crayons each, you have 6 crayons left over.

can you please help me with this question ​

Answers

Answer: I think it would be A

Step-by-step explanation: If you do the first equation it would equal -0.1 then if you do equation A -6.7 plus -0.1 = -6.8 plus 6.8 = 0

Answer:

A

Step-by-step explanation:

It's letter A

in 2005 a company spent 493,749,335 on advertising. round the advertising figure to the nearest hundred thousand.​

Answers

Answer: 493,700,000

Step-by-step explanation:

find the sum of the interior angle measures of the polygon

Answers

Answer:  1260

Work Shown:

We have 9 sides of this polygon. See the diagram below. So n = 9

Plug that into the formula below to find the sum of the interior angles

S = 180(n-2)

S = 180(9-2)

S = 180*7

S = 1260

Please Help me with this​

Answers

Answer:

16X^2 - 8x

Step-by-step explanation:

A = L x W

L = x + 5 + 3x + 4x - 9 = 8x - 4

W = 2x

(8x - 4) (2x) = 16x^2 - 8x

hannah and jayna have disponsable camreas. The table and desprition shiw the number of shots left on thier cameras as a function of time.

Answers

Answer:

Okay, so what is the question?

Answer:

   Tornado: clouds, strong wind, rain, hail.

   Hurricane or cyclone: strong wind, heavy rain.

   Blizzard: heavy snow, ice, cold temperatures.

   Dust storm: strong winds, arid conditions.

   Flood: heavy rainfall.

   Hail storm: cold or warm temperatures, rain, ice.

   Ice storm: freezing rain.Step-by-step explanation:

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