Write a quadratic equation that has 2 and 8 as solutions.
Find the equation with 1 as the coefficient of the quadratic term.

Answers

Answer 1

Answer:

[tex]x^2-10x+16[/tex]

Step-by-step explanation:

The way I would find the equation is by finding the factored form of the equation form. That equation would be (x-2)(x-8). These are correct because if you set both of these equal to zero, your x-values will be equal to 2 and 8.

x-2=0

x=2

x-8=0

x=8

If you want the standard form of the equation,  all you have to do is multiply it out.

[tex](x-2)(x-8)\\x(x-8)-2(x-8)\\x^2-8x-2x+16\\x^2-10x+16[/tex]

Boom. There's your answer!


Related Questions

The fastest a human has ever run is 27 miles per hour. How many miles per minute did the human run? Explain your answer.

Answers

Answer:

0.45 miles per minute

Step-by-step explanation:

The length of a rectangle is 2.5 times its width
The perimeter of the rectangle is 84
centimeters. Find the dimensions of the
rectangle.

Answers

Answer:

210

Step-by-step explanation:

2.5 times 84 = 210

What is the distance between the points (−7, −3) and (−7, −9) ?

A 12 units

B 10 units

C 6 units

D 4 units

Answers

Answer:

C. 6 units

Step-by-step explanation:

Since the points have same x- coordinate of -7, the distance is the difference in y - coordinates:

d = -3 - (-9) = -3 + 9 = 6

Correct choice is C

(-7,-3)(-7,-9)

Distance

[tex]\\ \sf\longmapsto \sqrt{(-7+7)^2+(-9+3)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{(-6)^2}[/tex]

[tex]\\ \sf\longmapsto \sqrt{36}[/tex]

[tex]\\ \sf\longmapsto 6[/tex]

Write the equation of a line that
goes through the points (3,7) and
(-3,5).

Answers

Answer:

[tex]y = mx + c \\ 7 = 3m + c \\ 5= - 3m + c \\ 2c = 12 \\ c = 6 \\ 7 = 3m + 6 \\ 3m = 1 \\ m = \frac{1}{3} \\ y = \frac{1}{3} x + 6[/tex]

can anyone help me with this quickly please :)

Answers

To find the y-value that matches with the x-value, we will need to plug in the x-value and simplify the expression.

f(-2) = sqrt(-2 + 2) - 6

f(-2) = sqrt(0) - 6

f(-2) = -6

f(-1) = sqrt( -1 + 2) - 6

f(-1) = sqrt(1) - 6

f(-1) = 1 - 6

f(-1) = -5

f(2) = sqrt(2 + 2) - 6

f(2) = sqrt(4) - 6

f(2) = 2 - 6

f(2) = -4

f(7) = sqrt(7 + 2) - 6

f(7) = sqrt(9) - 6

f(7) = 3 - 6

f(7) = -3

Hope this helps!! :)

use benchmarks
3\5 + 3\17

Answers

3/15 Multiply both top and bottom by 17 to get 51/85
3/17 Multiply both top and bottom by 5 to get 15/85
Add
3/5+3/17
51/85+15/85
66/85

7. The area of a square is shown below. Find
the side length of the square.
A = 25 in.2

Answers

Answer:

5 in

Step-by-step explanation:

5in*5in = 25in ^2

Evaluate the function for
f(x) = x + 3 and g(x) = x2 − 2.
(f − g)(8t)=

Answers

Answer:

f(0)=0

Step-by-step explanation:

4x - 5 =-11 + 3x


Pls help I need the answer fast

Answers

Answer:

x = -6

Step-by-step explanation:

You want to get x to only one side:

4x - 5 = -11 + 3x

-3x               -3x

x - 5 = -11

Now move 5 to the right side:

x - 5 = -11

   +5   +5

x = -6

6. What is the value of x in the solution to the systems of linear equations shown below?
2x - 2y+z=3
5y-z= -31
x+ 3y + 2z = -21

Answers

Step-by-step explanation:

[tex]1) \: \: 2x - 2y + z = 3 \\ 2x = 3 + 2y - z \\ x = \frac{3 + 2y - z}{2} \\ \\ 2) \: \: \: not \: any \: \: \: x \: \: \: available \: \: \\ \\ 3) \: \: x + 3y + 2z = - 21 \\ x = - 21 - 3y - 2z[/tex]

Answer:

x= -5

Step-by-step explanation:

5y-z= -31, add z and 31 to both sides

5y+31 = z, substitute z in the other two given equations

2x - 2y+z=3

2x-2y +5y+31 = 3, combine like terms and subtract 31 from both sides

2x+3y = -28

x+ 3y + 2z = -21

x+3y +2(5y+31) = -21, distribute 2 over the addition parenthesis

x+3y +10y+62 = -21, combine like terms and subtract 62 from both sides

x+13y = -83

Now we have 2 equations  with 2 variables x and y to solve

2x+3y = -28

x+13y = -83

Because we need to find x then from the first equation we can write that

3y = -2x-28, subtract 2x from both sides and the divide both sides by 3

y = (-2x-28)/3, substitute this in the second equation

x + [13(-2x-28)/3] = -83 , distribute 13 . over the subtraction parenthesis

(3x/3)+[(-26x - 364) /3= -83, find the common denominator

3x+[(-26x - 364) = -83*3 , cross multiply

3x -26x = -249 +364, add 364 to both sides

- 23x = 115, divide both sides by (-23)

x= -5

I will mark brainlist please help!!

- dilation (lesson)

1) in a dilation of a figure, the distance between two consecutive vertices does not change

• true

• false


2) the coordinates of the vertices of a triangle JKL are J (4,8) K (8,8) L (4,2). Find the coordinates of the vertices of the image after a dilation by K = 0.25


• J (2,1) K (2,2) L (1,2)

• J (-2,1) K (4,2) L (1,0.5)

• J (1,2) K (2,2) L (1,0.5)

Answers

I’ve never see the truth about coks so it’s 27 inches for sure if it was all the same as2,2 743+77482=747474

Anybody? need help asap

Answers

Answer:

x = -1

Step-by-step explanation:

5x + 3 -2x = 2(x + 1) >>> Simplify by combining terms

3x + 3 = 2x + 2 >>> Subtract 2x and 3 from both sides

x = -1

Graph the point (5,6)

Answers

Answer:

(x,y)

Step-by-step explanation:

On point 0 you would go right 5 times and up 6

I don’t have any paper with me to show although all you have to do is start at the origin (0,0) then go right 5 then up 6. Please give me a brainliest if you found this helpful:)


Help please 6th grade math

Answers

Answer:

You would just plot it on the 1

the absolute value of positive 1=1

Jonathan has 1 3/14 hours to practice guitar. If he spends 1/8 hours on each song, how many songs can he practice

Answers

Answer:

Step-by-step explanation:

1 3/14 divided by 1/8

17/14x8

17x4/7

68/7

9 5/7

what number is the opposite of - 5/12

Answers

Answer:

5/12

Step-by-step explanation:

opposite is on the other side of the number line. 5/12 is the answer

Help me
Help me
Help me

Answers

Answer:

For the first one is 75 and 30 looks on a calculator add 75+75+30=180

A coin is flipped 80
times. It lands tails 47
times. What is the Probability

Answers

1/2 or 50% because each flip of a coin is independent from the last and a fair coin has an equal probably of landing on either side.

3p=19 helppppppppppppp​

Answers

Answer:

p= 6.33333333333

Step-by-step explanation:

U divide 19/3 to get the value of p

Hope this helps :)

Can u plz mark me as brainliest plz? :)

IM MARKING BRAINLEST IF U HELP PLEASE!!!

Answers

Angle A = 133 degrees

47 degrees and angle A are supplementary angles/a linear pair, which means that they add up to 180.

180 - 47 = 133

Angle B = 15 degrees

The sum of the interior angles in a triangle is 180.

a + 32 + b = 180

133 + 32 + b = 180

b = 15

Angle D = 58 degrees

32 degrees and angle D are complementary angles, which means that they add up to 90.

90 - 32 = 58

Angle C = 75 degrees

The sum of the interior angles in a triangle is 180.

c + d + 47 = 180

c + 58 + 47 = 180

c = 75

Hope this helps!! :)

Robert types 152 words per minute. How long will it take Robert to type 2,508
words?

Answers

Answer:

16.5 minutes

Step-by-step explanation:

2508/152 = 16.5

Check: 152 x 16.5 = 2508

PLEASE HELP THIS DUE AT 12:00 PM

Answers

Answer:

a.

Scale Factor = 2

Reason:

Since, B is a scaled copy of A it's corresponding sides must be in proportion with that of A, and that proportion would be its scale factor.

I held their horizontal sides and compared them.

in case of A, the side is 2.5 and in case of B it's 5.

so, 5 divided by 2.5 gets you 2, that is the scale factor.

b.

3, 5 (from left to right)

Solution:

[tex] \boxed{ \mathsf{ \frac{crsp. \: side \: of \: b}{crsp. \: side \: of \: a} = scale \: factor }}[/tex]

this also means

[tex] \boxed{ \mathfrak{crsp. \: side \: of \: b =( scale \: factor) \times \: crsp. \: side \: of \: a }}[/tex]

Scale factor = 2

Using this we'll get the answer to the question marks

The corresponding side to 1.5 is the vertical one in B.

=> corresponding side in B = 2 × 1.5

= 3

(this is the first question mark in order from left to right)

The corresponding side to 2.5 is:

= 2 × 2.5

= 5

c.

53° and 37° (from top to bottom)

Solution:

Scaled shapes have the same angle measures.

Reason:

When we scale two line segments meeting at a point, the lengths of the segments change but they still are part of the same pair of rays making the same angle.

Jackson bought an ultra-slim Television. The screen measures 13 cm in length and 12 cm in width. Television screen sizes are decided by the length of the diagonal. What is size of this screen? Round your answer to the nearest whole number.

Answers

Answer:

18 cm

Step-by-step explanation:

You can find the length of the diagonal by using the Pythagorean theorem.

a^2 + b^2 = c^2

12^2 + b^2 = c^2

144 + 169 = c^2

c^2 = 313

c = √313

c = 17.6918...

Answer: 18 cm

What is the solution to the following inequality?
|3x -8|< 2
Answers below

Answers

Answer:

Step-by-step explanation:

B

How do you solve f(x)=7

Answers

Answer:

7

Step-by-step explanation:

f(x) is the same thing as y. So y = 7 the only value of x that can give you 7 is 7.

Answer: It’s 7
Evidence:
F(x) is nothing but y just in a different form so it’s basically y equals 7

Help is appreciated! :)
(Question is in image below)

Answers

Answer:

92 more miles (D)

Step-by-step explanation:

I believe the answer is 92 more miles (d). So we know that Mr Klein is driving at a steady 60 miles per hour for 42 minutes. There are 60 minutes in an hour, so every minute they've driven a mile. Therefore, in 42 minutes, they've driven 42 hours. And then 134 - 42 is equal to 92, which is your final answer.

Hope this helped!! :D

Dan şi Andrei au inventat Jocul rotunjirii" și au hotărât ca fiecare să scrie cinci numere care se rotunjesc la zeci de mii prin 70 000. Copiii au stabilit însă și următoarele reguli: a. numerele scrise de Dan să aibă pe locul zecilor de mii o cifră mai mică decât 7; b. numerele scrise de Andrei să aibă pe locul zecilor de mii cifra 7; Scrie și tu câte şase numere care se rotunjesc la 70 000 și respectă regulile stabilite de băieţi.​

Answers

I would actually need you to translate this into english I I would be able to answer for you :)

What is 1,432 rounded to the nearest 100?

Answers

1,400 is 1,432 rounded to the nearest 100! :)

Answer:

1400

Step-by-step explanation:

1432 is closer to 1400 than 1500 because it ends in 32 and is below 50 on the number line

The sum of 2 and w is less than 21

Answers

2+w<21

-2     -2

w<19

w is 18 and under.

Round 47,754,099 to the nearest thousand.
A. 47,750,000
B. 47,754,000
C. 47,755,000
D. 48,000,000

Answers

The correct answer is B.

Answer:

es 56,000.

Step-by-step explanation:

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