Solve the equation.
p2 - 10p + 21 = 0

Answers

Answer 1

Answer:

p = 3 or p = 7

Step-by-step explanation:

Answer 2

Answer:

p²-7p-3p+21=0

p(p-7)-3(p-3)=0

(p-3)(p-7)=0

either

p=3

or

p=7


Related Questions

what are the first 5 terms of 30-n^2

Answers

Answer:

29, 26, 21, 14, 5

Step-by-step explanation:

To find the first 5 terms, substitute n = 1, 2, 3, 4, 5 into the n th term formula.

30 - 1² = 30 - 1 = 29

30 - 2² = 30 - 4 = 26

30 - 3² = 30 - 9 = 21

30 - 4² = 30 - 16 = 14

30 - 5² = 30 - 25 = 5

The first 5 terms are 29, 26, 21, 14, 5

Ruby bought a new car for £10625. She got a discount of 15% of the recommended retail
price of the car. How much money did Ruby save?

Answers

Answer:

15/100 x 10625

Saved: 1593.75 pounds

HELP HURRY HURRY HURFY HURRY HURRY

Answers

Answer:

3

Step-by-step explanation:

y=7-4

y=3

I think the answer is three..... buuuuuuuut

hey does anyone know what the heck type of questions they ask on a DBA for math on module 05.11? it's my first DBA​

Answers

DBA stands for discussion based assignment. so you go to the meeting and talk about your strengths and weaknesses

simplify: 5w(1-8h)+12hw+5w+3-w

Answers

Answer:

−28hw+9w+3

Step-by-step explanation:

5w(1-8h) = 5w-40wh

+12wh = -28hw

-28hw+5w+5w = -28hw+10w

-w = -28hw+9w

+3 = -28hw+9w+3

four friends go out for lunch. Each person orders 1 drink for $1.50 and 3 tacos. The total cost for all 4 people is $24. What is the price of one taco.

▪︎Let x represent the price of one taco. Which equation represents the problem?

1. 4(1.50+x) = 24
2. 4(1.50+3x) = 24
3. 1.50+3x = 24
4. 3(1.50+4x) = 24​

Answers

Answer:

The answer is B

Step-by-step explanation:

I just got it right on iready

Simplify (a+b)(a^2-ab+b^2)

Answers

Answer: a^3 - b^3

Step-by-step explanation:

A jar is filled with pennies, nickels, and dimes. The probability of picking a penny is 1/4, and the probability of picking a dime is 1/3. What is the probability of picking a nickel? Write your answer as a decimal rounded to the hundredths place.

Answers

Answer:

What Are The Options?

Step-by-step explanation:

Answer:

0.42

Step-by-step explanation:

given:

P (penny) = 1/4

P (dime) = 1/3

since the only other possibility is to pick a nickel, hence

P (nickel)

= 1 - 1/4  - 1/3

= 5/12

= 0.4166667

= 0.42 (nearest hundredth)

When I multiply a - and +, the answer will be a?

Answers

the answer is negative (-)

Answer:

it will me a negative (-)

Sydney says the slope of this line is 6/4
.

Deja says, "No, the slope of this line is 1.5"

Who is correct?
Sydney
Deja
Both
Neither

Answers

Answer:

Both

Step-by-step explanation:

Bc, 6/4 is equal to 1.5

Answer:

Both

Step-by-step explanation:

If you think about it, 6/4 is the same thing as 1.5, 6/4 is in the fraction form and 1.5 is in the decimal form. So, Deja and Sydney are both correct.

Hope this helps :D

consider the expression 7 - 4y. Why would the co-efficient be -4 and not 4?

Answers

Because the answer to X is a negative number, and negative numbers are needed for negative answers

Answer: because it won’t make sense if it was 74y it has to have an equation or expression.

Step-by-step explanation: I’m not that smart and I have no friends on brainly but hope it helps and makes your day.

Write a rule for the sequence.

4, 8, 16, 32, . . .
A. Start with 4, and multiply by 2 repeatedly.
B. Start with 4, and add 8 repeatedly.
C. Start with 4, and add 2 repeatedly.
D. Start with 2, and multiply by 4 repeatedly.

Answers

Answer:

a

Step-by-step explanation:

4X2 is 8 8x2 is 16 16x2 is 32

.) What is the unit rate in miles per gallon?
=

Answers

There is no unit you just need to work it out by dividing the miles travelled by the amount of gallons it took to refill.

Answer:

25 miles per gallon 10 gallons is the UNIT RATE.

Q.6. The equation of the ellipse whose centre is at the origin and the x-axis, the major axis, which passes
through the points (-3, 1) and (2,-2) is
(A) 5x2 + 3y =32 (B) 3r? + 5y = 32 (C) 5x° - 3y2 = 32 (D) 3x* + 5y? + 32 = 0​

Answers

Answer:

Equation of the ellipse = 3x² + 5y² = 32

Step-by-step explanation:

Given:

The centre of the ellipse is at the origin and the X axis is the major axis

It passes through the points (-3, 1) and (2, -2)

To Find:

The equation of the ellipse

Solution:

The equation of an ellipse is given by,

[tex]\sf \dfrac{x^2}{a^2} +\dfrac{y^2}{b^2} =1[/tex]

Given that the ellipse passes through the point (-3, 1)

Hence,

[tex]\sf \dfrac{(-3)^2}{a^2} +\dfrac{1^2}{b^2} =1[/tex]

Cross multiplying we get,

9b² + a² = 1 ²× a²b²a²b² = 9b² + a²

Multiply by 4 on both sides,

4a²b² = 36b² + 4a²------(1)

Also by given the ellipse passes through the point (2, -2)

Substituting this,

[tex]\sf \dfrac{2^2}{a^2} +\dfrac{(-2)^2}{b^2} =1[/tex]

Cross multiply,

4b² + 4a² = 1 × a²b²a²b² = 4b² + 4a²-------(2)

Subtracting equations 2 and 1,

3a²b² = 32b²3a² = 32a² = 32/3----(3)

Substituting in 2,

32/3 × b² = 4b² + 4 × 32/332/3 b² = 4b² + 128/332/3 b² = (12b² + 128)/332b² = 12b² + 12820b² = 128b² = 128/20 = 32/5

Substituting the values in the equation for ellipse,

[tex]\sf \dfrac{x^2}{32/3} +\dfrac{y^2}{32/5} =1[/tex]

[tex]\sf \dfrac{3x^2}{32} +\dfrac{5y^2}{32} =1[/tex]

Multiplying whole equation by 32 we get,

3x² + 5y² = 32

Hence equation of the ellipse is 3x² + 5y² = 32

PLEASE HELP ME IT IS AN EMERGENCY!!!!!!!!! I WILL MARK BRAINLLIEST FOR THE CORRECT ANSWER!!!!!!!!!!!!

When the original price and discounted prices are known, how can we find the percent markdown?

Answers

Step-by-step explanation:

The amount that you decrease the price by can be expressed as a percent of the selling price, known as the markdown rate.

Solve for x in the diagram below. Will mark brainliest if your answer is correct!♡

Answers

I think it should be x=12.
The equation should be 6x-2+20°=90°

I need help I need to find the error

Answers

Pvhbgggg uh hgyggg yvbb by j

x-3y=7
2х-6у=12
Solve the following systems

Answers

Answer:

Step-by-step explanation:

this system doesnt have any solutions

if you multiply the first equation by 2 you will get

2x-6y=14

second equation is

2x-6y=12

the result will -12=14

no solutions

Easy ! Hurry !

Very easy

Answers

Answer:

13

Step-by-step explanation:

Add 6 to both sides.

3m−6+6=33+6

3m=39

Divide both sides by 3.

3m/ 3 = 39 /3

m=13

Answer:

[tex] \huge \: x = 13[/tex]

Step-by-step explanation:

to understand thisyou need to know about:equationPEMDASgiven:3m-6=33to solve:xlet's solve:

[tex]step - 1 : define[/tex]

[tex]3m-6=33[/tex]

[tex]step - 2 : \\ add \: 6 \: to \: both \: sides[/tex]

[tex]3x - 6 + 6 = 33 + 6[/tex]

[tex]3x = 39[/tex]

[tex]step - 3 : \\ divide \: both \: sides \: by \: 3[/tex]

[tex] \frac{3x}{3} = \frac{39}{3} [/tex]

[tex] \huge\therefore \: x = 13[/tex]

Solve the following:
A) a/5 + 3 = 8


B) 3b/7 - 1 = 5

Answers

The answer to A is 25.
The answer to B is 14!

A)

   a

———=8       :a=64

5+3  

Steps:Multiply both sides by 8

8a

     ———-=8  ·   8

      5+3

Simplify:a=64

B)

3b/7 - 1 = 5

Add 1 in both sides

3b/7 - 1 + 1 = 5 + 1

3b/7 = 6

Multiply both sides by 7 and then divide by 3.

3b/7 . 7/3 = 6 . 7/3

b = 2.7

b = 14

credits-https://brainly.com/question/12052195,math-way

PLEASE HELP URGENT!!

Answers

Answer:

mathw a y

Step-by-step explanation:

use mathw a y to help solve questions like this

Help please i dont get it

Answers

Answer:

3.51

Step-by-step explanation:

yes

Answer:

3.28

Step-by-step explanation:

The day before the day before yesterday was two days after the day before my birthday.

Today is Thursday. On what day was my birthday?

Answers

the birthday would have been on saturday

Answer:

Your answer is indeed Saturday.

Step-by-step explanation:

The day before, (Wednesday) the day before, (Tuesday) yesterday, (Monday).

And then after the day before my Birthday, (sunday and then Saturday.)

a pair of shoes originally priced at $120 are on sale for 89.99 what percent discount was applied ?round to the nearest whole percent.

Answers

i believe it’s discounted 25%

Answer:

25%

Step-by-step explanation:

Divide 89.99 or 90 (since you are rounding) by 120, and you get .7499 or 75%.  You have 25% ($30) as the discount because 90 is 75% of $120.

what is m

picture below!!

Answers

Answer:

Please check the explanation.

Step-by-step explanation:

We know that a pentagon is a polygon with 5 sides and 5 angles.

Given the polygon with 5 angles.

A pentagon is a polygon with 5 sides and 5 angles.

The angles of the given pentagon are:

∠P = (4x + 2)°

∠Q = 132°

∠R = (4x - 10)°

∠S = (5x - 11)°

∠T = 128°

We know that the sum of the measures of the interior angles of a pentagon is 540 degrees.

Therefore,

∠P + ∠Q + ∠R + ∠S + ∠T = 540°

(4x + 2)° + 132° + (4x - 10)° + (5x - 11)° + 128° = 540°

group similar elements

4x + 4x + 5x + 2 + 132 - 10 - 11 + 128 = 540

simplify

13x + 241 = 540

subtract 241 from both sides

13x + 241 - 241 = 540 - 241

13x = 299

divide both sides by 13

13x/13 = 299/13

x = 23

Thus, the value of x = 23

Therefore, the measure of angle ∠S is:

m∠S = (5x - 11)°

        = (5(23) - 11)°

        = (115 - 11)°

        = 104°

Thus,

m∠S = 104°

what answer is equal to -3(x-6)?

Answers

C is the correct answer

(3 + 4q)(3) simplified

Answers

9+12q
Just multiply 3 by the numbers

The difference of three times Faye's age and four times Joshua's age is 31. If Faye's age is five more than twice Joshua's age, how old is Faye?

Answers

She is 31

F-Faye
J-Joshua

F3-J4=31
F=J2+5
(J2+5)(3)-J4=31
J2+5=31
J2+5-5=31-5
J2=26
J2/2=26/2
J=13

F=13(2)+5
F=26+5
F=31

(Please help) Based on the equation you wrote in part 1, complete the table below (equation is f = 1000t)
Number of tigers | Area (Square feet)
1 :
2 :
3 :
4 :

Answers

Answer:

1,000

2,000

3,000

4,000

Step-by-step explanation:

just took the test got it right

Answer: I got the sample answer correct

Step-by-step explanation:

the edmentum answer

1. If you have a McDonalds order where the subtotal comes to
$29.46 and you give a 15% discount coupon, how much will the
new subtotal be?

Answers

The total is 25.04 dollars becuase 15 percent of 29.46 is 4.42 and subtract that and that’s what u get
25.04 because 15% of 29.46 is 4.42
Other Questions
List all of the Hurricanes and the date that they happened.(whole world) WILL GIVE BRAINLIEST PLZZZZ HELP Why is consensus building often the best type of conflict resolution?It allows for difficult decisions to be made by the most-qualified professional on the team.It lets difficult decisions be made by soliciting votes until at least half the members support a solution.It addresses everyones concerns by refining a solution until everyone agrees it will work and votes to support it.It enables the group to make a decision by ignoring the concerns of certain team members. Sarah bought 4 2/3 pounds of peaches and 2 1/6 pounds of apples. How many more pounds of peaches did she buy than apples? (Volleyball) With the underhand serve, you should follow through in the direction of:A. The intended flight of the ballB. Straight up above your headC. To the side of your bodyD. No follow through needed (GIVING BRAINLIEST!!)Pls help!, Li nk is below!!!all u have to do is the graphic organizer Which excerpt from the poem is an example of a transformation?William James could almost hear the bronze Negroes breathe.The Aquarium is gone. Everywhere, / giant finned cars nose forward like fishfrayed flags / quilt the graveyards of the Grand Army of the Republic.he seems to wince at pleasure / and suffocate for privacy What are different ways data can be transferred from one computer hardware component to another? a bat and a baseball costs $1.10. the bat costs $1 more than the ball. how much does the ball cost? What is the role of carbon storage in organisms?? Plz answer fast in paragraph form if possible One of the Leonardo's most famous works is titled "The Last Supper." This painting defigure?A)BuddhaB)JesusMohammadMoses The proclamation of_____ stated all land____ of the Appalachian mountains and east of the ______ river belonged to the ____ 3.The Glorious Revolution led to the establishment of the Europe's firstconstitutional monarchy. What is a "constitutional monarchy"? * What was the result of the Adams-Ons Treaty?The United States gave up claims to the Oregon Country.The United States and Britain settled a Texas border dispute.Spain gave the United States Florida in return for payment.O Great Britain gave up claims to the Oregon Country. The purpose of a SWOT analysis is to ___. a. evaluate the marketing strategy that a company has been using.b. determine the best strategy for the company.c. compare the company's advantages with that of its competitors.d. identify important company and environmental factors.e. formulate goals and objectives for a company. I dont have much time can someone answer this fast Explain how the temperature of a substance is related to the kinetic of it molecules. If your birthday is yesterday and i have 3 red finger on my triangles, how many dogs are their in the alphabet? a static character is If 150 miles is 25% of a race, what is the length of the entire race?3,750 miles600 miles37.5 miles6 miles