Create and solve a quadratic equation that has 1 real solution

Answers

Answer 1

Answer:

x^2 - 4x + 4 = 0

x = 2

Step-by-step explanation:

(x - 2)(x - 2) = 0

x^2 - 2x - 2x + 4 = 0

x^2 - 4x + 4 = 0

The equation is:

x^2 - 4x + 4 = 0

It is a quadratic equation because of the x^2 term.

Now we solve it by factoring.

x^2 - 4x + 4 = 0

(x - 2)(x - 2) = 0

x - 2 = 0 or x - 2 = 0

x = 2 or x = 2

The only solution is x = 2.


Related Questions

Order the numbers from least to greatest:
square root of 81, square root of 72, 9.2, 8.6
Type the correct order of each item (eg. 1, 2, 3, etc):
8.6
9.2
square root of 81
square root of 72

Answers

Simplify all the given.

√81 = 9

√72 ≈ 8.5

9.2 = 9.2

8.6 = 8.6

From here, you can just sort it out.

From least to greatest:

1) √72

2) 8.6

3) √81

4) 9.2

square root of 72, 8.6, square root of 81, 9.2

Ryan has 782 beads. He wants to divide the beads evenly to make 34 bracelets. How many beads will be used for each bracelet?

Answers

Answer:

782/34 = 23 beads for each bracelet

Step-by-step explanation:

23 beads.

782 devided by 34 is 23. ask google if u think im wrong

Given that 2y^3+by-cy+d,where b,c and d are constants,leaves a remainder R when divided by (y+1) , (y-2) and (2y-1). Find the value of b and c. If (y+2) is a factor of the expression, find the value of d

Answers

The polynomial remainder theorem says that a polynomial p(x) leaves a remainder of p(k) when it's divided by x - k.

We're given that dividing p(y) = 2y³ + by² - cy + d leaves the same remainder R after dividing it by y + 1, y - 2, and 2y - 1. So we have

p(-1) = 2(-1)³ + b(-1)² - c(-1) + d = R

==>  R = -2 + b + c + d

p(2) = 2(2)³ + b(2)² - c(2) + d = R

==>  R = 16 + 4b - 2c + d

p(1/2) = 2(1/2)³ + b(1/2)² - c(1/2) + d = R

==>  R = 1/4 + b/4 - c/2 + d

We're also given that y + 2 is a factor, which means dividing p(y) by it leaves no remainder, and so

p(-2) = 2(-2)³ + b(-2)² - c(-2) + d = 0

==>  0 = -16 + 4b + 2c + d

Solve the system of equations in boldface. You can eliminate d from the first 3 to first solve for b and c, then solve for d :

(-2 + b + c + d) - (16 + 4b - 2c + d) = R - R

-18 - 3b + 3c = 0

b - c = -6

(-2 + b + c + d) - (1/4 + b/4 - c/2 + d) = R - R

-9/4 + 3b/4 + 3c/2 = 0

b + 2c = 3

(b - c) - (b + 2c) = -6 - 3

-3c = -9

c = 3

b - 3 = -6

b = -3

-16 + 4(-3) + 2(3) + d = 0

d = 22

Emily bought 2 kilograms of rice for $6.25.
Select True or False for each statement.
O True
O False
The product (25) will give the unit price of one kilogram of rice.
0 True
O False
Emily paid less than $1.50 per kilogram of rice.
O True
O False
If Emily has $1.00 to spend on rice, she can get io of a kilogram of rice.

Answers

FalseFalseTrue

#CarryOnLearning

Answer:

1.) False

The product [tex]\bold{\frac{5}{2}}[/tex]([tex]\bold{\frac{4}{25}}[/tex]) will give the unit price of one kilogram of rice.

2.) False

Emily paid less than $1.50 per kilogram of rice.

3.) True

If Emily has $1.00 \:to\: spend\: on\: rice, she\: can\: get [tex]\frac{4}{10}[/tex]$ of a kilogram of rice.

#CarryOnLearning

-5x + 9 = -3x + 1 solve the equation

Answers

Answer:

x=4

Step-by-step explanation:

Step 1: Add 3x to both sides.

−5x+9+3x=−3x+1+3x

−2x+9=1

Step 2: Subtract 9 from both sides.

−2x+9−9=1−9

−2x=−8

Step 3: Divide both sides by -2.

−2x/−2=−8/−2

Select two fractions equivalent to 21/28

[] 42/56

[] 3/4

[] 3/9

[] 3/7

Answers

I would say 3/4 & 3/7

The basketball team scored a total
of 80 points, all off of 2-point
baskets and 3-point baskets (no
they didn't make any free throws). If
six 3-point baskets were made, find
the number of 2-point baskets
made.

Answers

Answer:

31 2-point baskets were made

Step-by-step explanation:

We can find how many of the 80 points were made with 2-point baskets by subtracting all the points gained through 3-point baskets. Since there are six 3-point baskets:

# of points through 2-point baskets = 80 - 6(3) = 80 - 18 = 62

To find the number of 2-point baskets that were made, divide the points by the worth of the basket:

# of 2-point baskets made = 62/2 = 31

9514 1404 393

Answer:

  31

Step-by-step explanation:

6×3 = 18 of the 80 points were from 3-point baskets, so the remaining 62 points were 2-point baskets.

  62 = 2b

  62/2 = b = 31

31 2-point baskets were made.

estimate the product choose the method 27 * 42 ​

Answers

Answer:

About 1200

Step-by-step explanation:

I would round them to the nearest 10 so 27 would become 30 and 42 would be 40.

Then you would multiply to get the answer of about 1200.

Hope that helps and have a great day!

5. Find the equation of the line through the points (-6, 12) and (-4,91

Answers

Answer:

The answer is -11x and -21

There are 3 different roads from city A to city B and 2 different roads from city B to city C. In how many ways can someone go from city A to city C passing by city B.

Answers

Answer: 6

Step-by-step explanation: Since there are three different ways to get from A to B, that creates three variants of each way to get from B to C.

Say the roads are numbered. From A to B, you can use roads 1, 2, or 3. From B to C, you can use roads 4 or 5. The different combinations are 1-4, 1-5, 2-4, 2-5, 3-4, and 3-5.

at the beginning of the basketball game Sabrina made nine points in four minutes she wants to break the school record of 119 points in a game but the game last for 60 minutes in a Sabrina continues to score points at this rate will she break the school record show how you know set up a proportion

Answers

Yes she will break the school record if she continues to score at that rate. You divide 60 / 4 since there are 60 minutes in a full game. That gives you 15. Then you multiply that answer by 9 because she scores 9 points each of those 4 minutes. That will get her to score 135 points by the end of the game

The ratio of children to teachers at a preschool is 14:5. How many children are at the preschool if there are 30 teachers?

Answers

Answer:

14          30

-----  =  ------

5

cross multiple 30(5)=150

divide 150/14= 10.7142857

idk if they want you to round but

11 or

10.7

I need help please! The one from mr.squarepants pls it’s due today !!!

Answers

Answer:

He needs to work 8.25 hours more.

Step-by-step explanation:

2.25 + 3.50 (3 1/2) - 5.75

5.75 + 6 = 11.75

20 - 11.75 = 8.25

Answer:

8.25 more hours.

Step-by-step explanation:

2.25+3 1/2+6=11.75

Then:

20-11.75=8.25

T is between S and U. ST= 10 and TU = 6. what is the length of SU.

Answers

it would probably be 16.

What is the product of
5
7
and
14
10
A
1
4
O B.
2
4
oC.
2
C D 3

Answers

Answer:

1

Step-by-step explanation:

5/7 *14/10 = 14/7 * 5/10 = 2 * 1/2 =1

Hope I understood the question correctly.

20-21_P00117979_TFA_G10_MTH_E_GeometricProofsPrep ( Items
Al Items
1 2 3 4 5 6 7 8 Q EP Done →
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Exit Testing
8.
Angle 1 and Angle 3 are vertical angles. The measure of Angle 1 is (3x +72)' and the measure of Angle 3 is (6x)". What is
the value of x?
A2
B
8
C. 12
D.24
Time Remaining: 00:38:15
Copyright © 2020 Illuminate Education, Inc. All Rights Reserved
Type here to search
6

Answers

Answer: on angle 1 x=12 and on angle 3 x=24

Step-by-step explanation: i think

Which shows one way the equation can be represented in words? Z-6=14

A.The dfference of a number and z is the same as one and four-tenths.

B.Anumber subtracted from one and four-tenths is equal to six.

C.Six less than a number is the same as one and four-tenths.

D.Sx decreased by a number is equal to one and four-tenths.​

Answers

C. six less than a number is the same as one and four-tenths

Answer:  c

Step-by-step explanation:

c is the answer

Susan works part-time in a local video store. Her salary varies directly as the number of hours
worked. Last week she earned $144 for working 16 hours. This week she earned $378. How
many hours did she work this week?

Answers

Answer:

Around 2.63

Step-by-step explanation:

144 x 2.63 = 378.72

I would put 2.60, but you do you

What is the distance between 4.5 and 3.75

Answers

Answer:

0.75

Step-by-step explanation:

Which decimal number is equal to 18?


0.125

0.125¯¯¯¯¯

0.125¯¯¯¯

0.125¯

Answers

Answer:

if you mean 1/8 then its 0.125 (top choice)

Step-by-step explanation:

1/8=(1/4)/2=0.25/2=0.125

whoever answers first gets brainliest if i can im desperate?? ​

Answers

Answer:

33/209

Step-by-step explanation:

11*19=209 . 3(11)=33 .  33/209  

Given parameters:

   Length of the rectangle  = [tex]\frac{11}{19}[/tex] mile

   Width of the rectangle  = [tex]\frac{3}{11}[/tex] mile

Unknown:

Area of the rectangle = ?

Solution:

The area of a rectangle is

   Area of rectangle  = length x  width

                                  = [tex]\frac{11}{19}[/tex] x [tex]\frac{3}{11}[/tex]

                                = [tex]\frac{3}{19}[/tex]mile²

Help me out 3 i need some help :(

Answers

Answer:

The first one

Step-by-step explanation:

Since only the first session is $10, it wouldn't be 10x.

The second session is $5, and it will never be $10 again, so $5 sessions are unlimited which would be 5x.

So the answer is y = 10 + 5x

(sorry if i didnt explain well)

If x-1/2y=7
Then 4x-2y=?

Answers

Answer: RTGVTFGVTTGSGT

Step-by-step explanation:

what is the least common denominator of 4/5 and 3/10?plssreal quick​

Answers

Answer:

5

Step-by-step explanation:

The least common denominator of 4/5 and 3/10 would be 5.

can someone help me find angle 3?

Answers

Answer:

45

Step-by-step explanation:

corresponding angles are congruent

3 and 7 are corresponding

The Empire State building is 1250 feet tall maria wants to make a model that has a scale of 1/4 foot equals 50 feet how tall with her model B

Answers

Answer:

6 1/4

Step-by-step explanation:

I'll send u the graph​

Answers

Answer:

9

Step-by-step explanation:

2x3=6

3x3=9

9 most likely hudhehjshegsgsjssjgshs

Check all true statements.
A. For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.
B. For all sets A, B, the power set of the cartesian product of A and B is the cartesian product of the power sets of A and B. If A={1,2} and B={3} then A x B ={ {1,3}, {2,3} }.
C. The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C. If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.
D. The cartesian product is symmetric, i.e. A x B = B x A for all sets A, B. For all sets A, B, the cardinality of A x B is the sum of the cardinalities of A and B.
E. The cartesian product is associative, i.e. (A x B) x C = A x (B x C) =for all sets A, B, C. Both sets are equal to A x B x C.
F. The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C, then B = C.

Answers

Step-by-step explanation:

the true statemnts underneath and are in bold letters

-.For all nonempty sets A, B, C, D, if A x B = C x D, then A = C and B = D.

This property is true

-The cartesian product has a cancellation property, i.e. if A x B = A x C for some sets A, B, C and A nonempty, then B = C.

This property is true

- If A={1,2} and B={3} then A x B ={ (1,3), (2,3) }.

if we have 2 non empty sets a and b if we want to get their cartesian product, it is defined as the set of all ordered pairs from a and b

we have A x B to be{(1,3)(2,3)}

therefore this is also true

a spinner is split into eight wedges numbered 0-7

Answers

Answer:

The last one is 8

Step-by-step explanation:

I'm unsure of the question.

If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.

Below, match each of the four players with their respective z-scores for height.

a. Dustin
b. Byfugtien
c. Wilson
d. Crosby


1. A= 0.97
2. B= 0.48
3. C= -1.00
4. D= +1.46

Answers

This question is incomplete, the complete answer is;

If one scours the Internet for long enough, one can collect the heights and weights of all of the players in the National Hockey League (... yes, we did!) If you did too, you would find that they have a mean height of 73.03 inches with a standard deviation of 2.03 inches. The mean weight would be 202.18 pounds with a standard deviation of 15.73 pounds. Here are some data for four of those NHL players in 2017-18: Player/Team HEIGHT WEIGHT Dustin Byfuglien (Winnipeg Jets) 75 260 Dylan Ferguson (Vegas Golden Knights) 74 190 Tom Wilson (Washington Capitals) 76 218 Sidney Crosby (Pittsburgh Penguins) 71 200.

Below, match each of the four players with their respective z-scores for height.

a. Dustin

b. Ferguson

c. Wilson

d. Crosby

1. A= 0.97

2. B= 0.48

3. C= -1.00

4. D= +1.46

Answer:

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

Step-by-step explanation:

Given that;

their mean height u = 73.03

standard deviation α = 2.03

now the z-score height for each player;

a-  Dustin Byfuglien (Winnipeg Jets) Height = 75

z = (x - u) / α = (75 - 73.03) / 2.03 = 1.97 / 2.03 = 0.9704 ≈ 0.97

b-  Dylan Ferguson (Vegas Golden Knights) Height = 74

z = (x - u) / α = (74 - 73.03) / 2.03 = 0.97 / 2.03 = 0.4778 ≈ 0.48

- Tom Wilson (Washington Capitals) Height = 76

z = (x - u) / α = (76 - 73.03) / 2.03 = 2.97 / 2.03 = 1.4630 ≈ 1.46

Sidney Crosby (Pittsburgh Penguins) Height = 71

z = (x - u) / α = (71 - 73.03) / 2.03 =  -2.03 / 2.03 = - 1.00

Therefore

a. Dustin                MATCHES      1. A= 0.97

b. Ferguson          MATCHES      2. B= 0.48

c. Wilson                MATCHES      4. D= +1.46

d. Crosby              MATCHES      3. C= -1.00

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