Solve for x by means of factorisation:
1
x2 - 10x + 21 = 0​

Answers

Answer 1

Answer:

Solving this will give us the following two solutions:

x = (10 + 4) /2 = 14/2 = 7

x = (10 - 4) /2 = 6/2 = 3

Step-by-step explanation:

hope this helps!

could i get brainliest?


Related Questions

Melissa and Madeline love pepperoni pizza, but sometimes they are disappointed with the small number of pepperonis on their pizza. To investigate, they went to their favorite pizza restaurant at 10 random times during the week and ordered a large pepperoni pizza. Here are the numbers of pepperoni on each pizza.
47 36 25 37 46 36 49 32 32 34
Use the 4 step method to construct and interpret a 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant.

Answers

Answer:

(31.919,42.881)

Step-by-step explanation:

Using the t-distribution, it is found that the 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

In this problem, we will find the standard deviation for the sample, hence the t-distribution will be used.

What is a t-distribution confidence interval?

The confidence interval is given by:

[tex]\overline{x} \pm t\frac{s}{\sqrt{n}}[/tex]

In which:

[tex]\overline{x}[/tex] is the sample mean.t is the critical value.n is the sample size.s is the standard deviation for the sample.

For this problem:

The sample size is n = 10.Using a calculator, we have that [tex]\overline{x} = 37.4, s = 7.66[/tex].The critical value, considering a 95% confidence interval with 10 - 1 = 9 df, is of t = 2.2622.

The lower bound of the interval is:

[tex]\overline{x} - t\frac{s}{\sqrt{n}} = 37.4 - 2.2622\frac{7.66}{\sqrt{10}} = 31.92[/tex]

The upper bound of the interval is:

[tex]\overline{x} + t\frac{s}{\sqrt{n}} = 37.4 + 2.2622\frac{7.66}{\sqrt{10}} = 42.88[/tex]

The 95% confidence interval for the true mean number of pepperonis on a large pizza at this restaurant is (31.92, 42.88). It means that we are 95% that the true mean number of pepperonis for all large pizzas at the restaurant is within this interval.

More can be learned about the t-distribution at https://brainly.com/question/16162795


Which of the following is in the solution set to 3x - y = 12? (hint: what
makes the equation true)
(3,2)
(0,4)
(-4,0)
(8,12)
Answer(8,12)

Answers

3(8)-12=12
24-12=12
The fourth choice.
Yeah I think you already got it

My car magazine reports the numbers of miles driven for different amounts of fas for
Three car. Which car travels the fastest on 1 gallon of gas explain

Answers

Answer:

yes and no a.a

Step-by-step explanation:

Car A travels the fastest on 1 gallon of gas.

What is the unitary method?

The unitary method is a method for solving a problem by the first value of a single unit and then finding the value by multiplying the single value. The unitary method is a technique by which we find the value of a single unit from the value of multiple devices and the value of more than one unit from the value of a single unit. It is a method that we use for most of the calculations in math.

Given that car, the magazine reports the numbers of miles driven for different amounts of fas for Three car.

Consider us solving for the miles per gallon of individual cars

A. miles driven =140

A gallons= 5

x= 140/5

x= 28 miles per gallon

To learn more about the unitary method, please visit the link given below;

https://brainly.com/question/23423168

#SPJ5

the first one help please asap, i will mark as brainliest

Answers

Answer:

They originally paid $28,750

Source:

Trust me bro, I used a calculator

59,000-1500= 57,500/2=28,750

What is the value of this expression? {18÷(2+4)}+3×2 Enter your answer in the box.

Answers

Answer:

The value of the expression is 78

Step-by-step explanation:

Answer:

Step-by-step explanation:

{18÷(2+4)}+3×2 = {18÷6}+3×2

= 3+3×2

= 3+6

= 9

find an ordered pair (x, y) that is a solution to the equation 4x-y=5​

Answers

Answer:

An ordered pair that is a solution to the equation is (2,3).

Step-by-step explanation:

To find an ordered pair that is a solution to the equation, we attribute a value to one of the variables(x or y), and find the other.

4x-y=5​

Using y = 3

4x - 3 = 5

4x = 8

x = 8/4 = 2

An ordered pair that is a solution to the equation is (2,3).

PLEASE ANSWER ASAP FOR BRAINLEST !!!!!!!!!!!!!!!!!!!!

Answers

Answer:

197 in²

Step-by-step explanation:

TOP 5x5=25

BOTTOM 9x5=45

BACK 5x5=25

SLOPED FRONT 6.4x5=32

TRAPEZOID SIDE (9+5)/2x5=35 (each), so 70

25+45+25+32+70=197

Can anyone help me I would really appreciate it.

Answers

Answer:

7c + 4 = 8

7c = 8 -4

7c = 4

c=4/7

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work. Which change to Natasha's survey process would make the data more reliable? A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included. B. Have workers complete a written survey so there is a written record of the responses. C. Ask a randomly selected sample of people who use public transportation whether their office is in the building. D. Use a different sample size so the predicted number of workers who use public transportation is a whole number.

Answers

Answer:

A. Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

Step-by-step explanation:

Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

We have given that,

Natasha conducted a survey to determine how many of the 215 workers in her office building use public transportation to get to work. She surveyed 30 randomly selected workers who entered the office cafeteria throughout the day. Of the 30 workers surveyed, 9 used public transportation to get to work.

We have to determine that,

a change to Natasha's survey process would make the data more reliable.

What is random selection?

Random sampling, or probability sampling, is a sampling method that allows for the randomization of sample selection each sample has the same probability as other samples to be selected to serve as a representation of an entire population.

Randomly select the sample in the lobby of the building

So workers who do not enter the cafeteria can be included.

Therefore the correct option is A.

Thus, Randomly select the sample in the lobby of the building so workers who do not enter the cafeteria can be included.

To learn more about the random sample visit:

https://brainly.com/question/24466382

#SPJ2

Mrs. Stephens bought 3 pounds of tomatoes.How many ounces are equal to 3 pounds?

Answers

Answer:

48 ounces

Step-by-step explanation:

16 ounces per pound

3 x 16 = 48 ounces

Use the distributive property to write an equivalent expression. 4(2x+3)

Answers

Answer:

20x

Step-by-step explanation:

4(2x+3)

4(5x)

4x5x

20x

A bakery used 45% more butter this month than last month. If the bakery used 320 kilograms of butter last month, how much did it use this month?

Answers

Answer:

464 kg butter

Step-by-step explanation:

45% of 320 kg - 144

320+140-464

need help with this ‼️

Answers

Heyy
GO to math-way it’s a algebra calculator it works type this problem in

what is the difference in hours and minutes between these times 10:35 2:40

Answers

Answer:

10:35

11:35

12:35

1:35

2:35

=Thats 4 hours

and then 40-35=5

So 4hours 5 minutes

Answer:

yeah

Step-by-step explanation:

im reply cause I want to ask a questionbx

Find the area of the shape shown below.

Answers

Answer:

6

Step-by-step explanation:

Area of sq:

A = bh

A = (2)(2)

A = 4

Area of triangle:

A = 1/2bh

A = 1/2(2)(2)

A = 2

Combined:

4 + 2 = 6

Answer is 6 because

Can please someone help me out and explain it step by step. Thank you

Answers

Answer:[tex]x=7, \ y=-2[/tex]

Step-by-step explanation:

Given

Equations are [tex]3x-y=23[/tex] and [tex]2x+3y=8[/tex]

take [tex]3x-y=23[/tex]

[tex]y=3x-23[/tex]

Put the value of y in another equation

[tex]\Rightarrow 2x+3(3x-23)=8\\\Rightarrow 2x+9x-69=8\\\Rightarrow 11x=77\\\Rightarrow x=7[/tex]

Put the value of x in y

[tex]y=3(7)-23=21-23=-2[/tex]

Hence, [tex]x=7, \ y=-2[/tex]

Find the surface area of a basketball with a diameter of 10 in.




400π in²

10π in²

100π in²

25π in²

Answers

Answer:

100 pie

Step-by-step explanation:

Find the surface area of a basketball with a diameter of 10 in.

100π in²

10π in²

400π in²

25π in²

The surface area of the basketball is 100π square inches.

The correct option is C.

What is the surface area of a sphere?

The area of the outer surface of a sphere is the surface area of a sphere.

And its formula:

The surface area of the sphere is 4πr².

Where r is the radius of the sphere.

Given:

The shape of the basketball is spherical.

The diameter of the basketball is 10 inches.

So, the radius of the basketball = 10/2 = 5 inches.

The surface area of the basketball,

= the surface area of the sphere.

= 4πr²

= 4π(5)²

= 2π25

= 4 x 25π

= 100π square inches.

Therefore, the surface area is 100π square inches.

To learn more about the surface area of the sphere;

https://brainly.com/question/14692728

#SPJ6

20. The top layer of a circular wedding cake has a
diameter is 15 inches. The bottom layer of the circular
wedding cake has radius is 30 inches. How many times
greater is the circumference of the bottom layer than
the top layer?

Answers

Answer:

4 times

Explanation:

tc = 15×π = 47.12.. in

bc = 2×30×π = 188.49.. in

bc = 188.5/47.12 = 4 times

Pleas help I will give brainliest also please show how you did it please

Answers

Answer:

for n ≤ 3

we are going to put a circle on the 3 and make it filled in then you are going to start an arrow starting from the 3 going to the left all the way to the -10.

Answer:

n ≥ -1 or n ≤ 3

Combined:

-1 ≤ n ≤ 3

Since the inequalities are ≤, it'll be a closed circle

The closed circle will start AT -1 and another closed circle will end at 3

20x^2-12x-8
a. (10x+2) (2x+5)
b.(5x+2) (4x-4)
c. (5x-2) (4x+4)
d. (10x-2) (2x-5)

Answers

Answer:

B

Step-by-step explanation:

20x^2 - 12x - 8

4 ( 5x^2 - 3x - 2 )

5 * - 2 = - 10

Factors of - 10

1 , - 10

10, - 1

2, - 5

5, - 2

5x^2 - 5x + 2x - 2

5x (x - 1)  2 (x - 1)

4 (x - 1) (5x + 2)

(4x - 4) (5x + 2)

choose the correct equation please

Answers

Answer:

y=3×+6

Step-by-step explanation:

bla bla bla bla bla bla bla hhhhhhhhhhhh

SOME ONE PLS HELP ME ASAP OP THE TEACHER CALLED ON ME AND SHE SAID THAT I HAVE 5 MINS TO FIGURE THIS OUT ​

Answers

Answer:

a F

Step-by-step explanation:

Normally when converting to scientific notation, I would count how many digits I have to move the decimal dot to get it in between the number, in this case, 36.

If you start shifting the decimal dot to the right and count one every time you shift one digit and go all the way to between 3 and 6, you would count to 5. Since you are shifting to the right, the power of the 10 should be negative. Thus, the answer should be 3.6 × 10[tex]^{-5}[/tex] which is F.

Answer:

option A F is the answer

3.6 x 10^-5

Step-by-step explanation:

i have a tip for you,

if the number is smaller starting with 0.000....

then the exponent will be a negative number

answer this asap plsssssssssssssssssssssss

Answers

Answer =6

Step-by-step explanation:

-2 through positive 3, i'm sorry if this is incorrect!

The difference between three times a number and 5 is 10.

Answers

Answer:

Equation: 3x-5=10

Answer: X=5

Step-by-step explanation:

3 times a number (represented as X) and 5 (means subtract by 5)

3x-5=10

Add 5 on both sides

3x=15

X=5

Answer:

3(5) - 5 = 10  

15 - 5 = 10  

10 = 10 x = 5

Step-by-step explanation:

Three times a number is 3x because you do not know the number.  

Add five to both sides of the equation.  

Divide both sides of the equation by 3 and the solution is x = 5

I’ll give points and brainalist for correct answer

Answers

Answer:

A. 2

Step-by-step explanation:

Circumference of a circle = 2πr

if π = 3.14

and C = 6.28

6.28 = 2(3.14)r

r= 1

d= 2r

d= 2 * 1

d= 2

I will send a pic to you​

Answers

Answer:

agreed

Step-by-step explanation:

agreed...............................

ABCDEFGHIJKLMNOPQRSTUVWXYZ

Helpppppppppppppppp

Answers

The answer is x=21 because it just is

A man who is 2m tall stands on horizontal ground 30m from a tree. The Angel of elevation of the top of the tree from his eyes is 28 . Fine the distance between the men eyes to the top of the tree

Answers

Answer:33.95 m

Step-by-step explanation:

Given

The height of the man is 2 m

Distance between man and tree is 30 m

the angle of elevation of the top from the eyes is [tex]28^{\circ}[/tex]

from the figure,

[tex]\Rightarrow \tan 28^{\circ}=\dfrac{h}{30}\\\\\Rightarrow h=30\tan 28^{\circ}=15.91\ m[/tex]

Using Pythagoras we can write

[tex]\Rightarrow AD^2=ED^2+AE^2\\\Rightarrow AD^2=30^2+15.91^2\\\Rightarrow AD=33.95\ m[/tex]

Thus the distance between the men eyes to the top of the tree is 33.95 m

A school band performed a concert on four different days. The band sold tickets and snacks each day of the concert for a fundraiser. The first table shows the numbers of tickets sold and the amounts of money collected from ticket sales. The second table shows the numbers of snacks sold and the amounts of money collected from snack sales. If each snack costs the same price, what is the price per snack?

Answers

Answer:

$1.25

Step-by-step explanation:

There is a lot of unnecessary extra information we can ignore here. Simply divide the amount collected on any given day by the number of snacks sold.

53.75 / 43 = $1.25

Double check via another day:

45 / 36 = $1.25 ~ yup!

The price per snack is $1.25.

What is an expression?

An expression contains one or more terms with addition, subtraction, multiplication, and division.

We always combine the like terms in an expression when we simplify.

We also keep all the like terms on one side of the expression if we are dealing with two sides of an expression.

Example:

1 + 3x + 4y = 7 is an expression.

3 + 4 is an expression.

2 x 4 + 6 x 7 – 9 is an expression.

33 + 77 – 88 is an expression.


We have,

From the table,

We see that,

43 snacks = $53.75

This means,

1 snack = 53.75/43 = 1.25

Similarly,

36 snacks = 45

1 snack = 45/36 = 1.25

Thus,

The price per snack is $1.25.

Learn more about expressions here:

https://brainly.com/question/3118662

#SPJ3

A seller has a house that is 1483 square feet. The neighborhood comps show the line of
best fit to be y = 0.071x + 52.48. What is a fair price for this house? Round your answer to
the nearest thousand.

Answers

9514 1404 393

Answer:

  158,000

Step-by-step explanation:

Using the given square feet for x in the equation, we have ...

  y = 0.071×1483 +52.48 = 157.773

We presume this is supposed to represent the estimated value of the house in thousands.

The fair price is estimated to be 158,000.

Other Questions
10. Lori plans to buy a book for $15.99, a magazine for $3.45, and abookmark for $1.99. What is an estimate of the total cost of the items tothe nearest dollar?A) $9.00B) $20.00C) $21.00OD) $22.00 how do i find text structure? Stoichmetric calculations must not be based on the limiting reagenttrue or false How did life on Earth change from one period of geologic time to the next? Amendment x the powers not delegated to the united states by the constitution , nor prohibitited by it to the states are reserved to teh states respectively or to the people . What is the main idea of this amendment from the bll of rihgts HELP WITH ALL PLZZZZZZZZ Hiiooo! Can someone please help tell whether the ordered pair is a solution of the system of liner equation (3,2)x+y=5 y-2x=-4 Why does Shakespeare's "All the World's a Stage" focus on infancy in its opening lines? The poem is meant to be comedic, and Shakespeare considers infancy to be the funniest stage of life. The poem addresses the roles that actors play, and many actors begin performing as children. The poem is structured to depict life in chronological order, so it deals with the earliest stage of life first. The poem explores what Shakespeare considers to be the most important stage of life first. 4. What is the slope-intercept equation of theline that goes through the points (1, 5) and(2,8)?A. y = 2x - 3B. y = x + 1C. y = 3x + 2D. y =- 1.5x 2 how to use function in python Expand and simplify2(m - 3) + 3(m + 4) Harlem became a destination for African Americans throughout the early 1900s aspart of the ___________________. Please write at least oneparagraph to EXPLAIN whyW.W.I began? Please use ALLfour of the M.A.I.N. causesplus the "spark ( the event)that connected all the othercauses.HEELF The childs game, War, consists of two players each having a deck of cards. For each play, each person turns over the top card in his or her deck. The higher card wins that round of play and the winner takes both cards. The game continues until one person has all the cards and the other has none. Create a program that simulates a modified game of War.The computer will play both hands, as PlayerOne and PlayerTwo, and, for each round will generate two random numbers and compare them.If the first number is higher, PlayerOnes score is increased by 1 and if the second number is higher, PlayerTwos score is increased by 1.If there is a tie, no score is incremented.When one "player" reaches a score of 10, that player should be deemed the winner and the game ends.The range of numbers should be 1-13 to simulate the values of cards in the deck. 3Carl's baseball team is sellingtrash bags to raise money foruniforms and equipment. Eachplayer starts with a credit of $50towards their sales, and each roll oftrash bags sells for $8. Determinehow many rolls of trash bags eachperson must sell to make $300. Question 7 of 10When you multiply a function by -1, what is the effect on its graph?A. The graph flips over the yaxis.O B. The graph flips over the line y= X.O C. The graph flips over the xaxis.SUBMIT A golf club with mass 0.5 kg is swung at 23 m/s toward a stationary golf ball on a tee. The club barely slows down to 17 m/s, but the ball flies off the tee at 69 m/s. Calculate the mass of the golf ball in kg. Answer to 4 decimals. Help fast please. Will mark brainliest Derek's car has run out of gasoline. He walks 24 km west and then 10 km south looking for a gasoline station. If he is now h km directly from his starting point, find the value of h please help me for brqinliest im imed