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

HELP ASAP!!!
I’ll make it Brainliest

Answers

Answer:

The answer to number 1 is c.

For the second one, I think it's D but I'm not sure.

Step-by-step explanation:

The median is the middle number of a list where all the numbers are listed from least to greatest.

Please tell me if I was right on the second one.

Anyone know ?????? I kind of need help rn

Answers

Answer:

2.45 anytime

Step-by-step explanation:

the average of 2.4 and 2.5 = (2.4+2.5)/2=4.9/2=2.45

Answer:

2.45

Step-by-step explanation:

(2.4+2.5) / 2

6. What is the area of a rectangular floor that is 7-3" long
and 4-2” wide?

Answers

362.5 feet squared. 7 ft 3 in = 87 in. 4ft 2 in = 50 in. A= bh. 87 x 50 = 4350 in. 4350/12 = 362.5 feet squared

The area of the rectangle will be 4350 Inches squared.

What is the area of the rectangle?

The space occupied by any two-dimensional figure in a plane is called the area. The space occupied by the rectangle in a two-dimensional plane is called the area of the rectangle.

Given that a rectangular floor is 7-3" long and 4-2” wide. Here 7 ft 3 in = 87 in. 4ft 2 in = 50 in.

The area of the rectangle is calculated by using the formula below:-

Area = Length x Width

Area = 87 x 50

Area = 4350 Inches

Therefore, the area of the rectangle will be 4350 Inches squared.

To know more about the area follow

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In a hand of cards, the ratio of black cards to red cards was 5 to 3. If the hand contained 15
black cards, which of the following proportions could be solved to find the number of red
cards?

Answers

Answer:

5:3 =  15:x

the answer would be 15 black cards to 9 red cards

Step-by-step explanation:

*Cho hình chóp
S ABCD .
có đáy
ABCD
là hình chữ nhật biết
AB a  2
. Tam giác

SAD
cân tại
S
và nằm trong mặt phẳng vuông góc với đáy. Biết
SC a  6
. Đặt

AD x x    0

. Giá trị của
x
theo
a
sao cho thể tích khối chóp
S ABCD .
lớn nhất là

Answers

Answer:

que

Step-by-step explanation:

no ablo ese idioma v

Factor.
f(x)=6x2 - x - 2
([ ? ]x + [])([ ]x - [ ])

Answers

Answer: Factor 6x^2-x-1. 6x2 − x − 1 6 x 2 - x - 1. For a polynomial of the form ax2 +bx+ c a x 2 + b x + c, rewrite the middle term as a sum of two terms whose product is a⋅c = 6⋅−1 = −6 a ⋅ c = 6 ⋅ - 1 = - 6, this should be right but if it isnt,u will have every right to get mad.

Step-by-step explanation:

1:2 is equivalent to 200​

Answers

Answer:

Use the Part = 1, as the numerator and use the Whole = 2, as the denominator. The part-to-whole fraction is 1/2

Meaning:

The Part is 1/2 of the Whole

Step-by-step explanation:

HELP PLEAASEEEE pretty anyone

Answers

Answer: It's the third one

Step-by-step explanation:

Answer:

Step-by-step explanation:

It's A.

1/5k is greater than 0 if k > 0

-2/3 j is less that 0 if j >0

When you look at the second half of this, what has happened is that - 2/3 is written first and it is still minus. 1/5 k is plus just as it was before.

what is the product of -6 and -54

Answers

Answer:

324

Step-by-step explanation:

- 6 × - 54 = 324

Note : -

When a negative number multiplied with another negative number, its result is a positive number.

Hello your answer is gonna be 324












M

Help me please help me help please

Answers

Answer:

y = 4x + 4

y = rise/run + y-intercept

Only 40% of people between the ages of 18 and 24 read a daily
newspaper. Write the percent as a fraction in simplest form.

Answers

Answer:

2/5

Step-by-step explanation:

40% = 40/100 = 4/10 = 2/5

Answer:

2/5

Step-by-step explanation:

40%/100% =2/5

you just take the 40% and divide with one hundred %

Which inequality is true? O A. 41 - 2 < 10 B. 6. . 27 > 1 C. 51 > 15 C O D. TI + 9 < 12​

Answers

Answer:

C

Step-by-step explanation:

because 52 is greater than 15

Let A, B, C, X be sets with A, B, and C are subsets of X. Prove the following set equalities
a) (A ∩ B)' = A' ∪ B'

Answers

Answer:

[tex] let \:x \in (A\cap B)'\\\Rightarrow x \notin (A\cap B) \\\Rightarrow x \notin A \:or\: x\notin B\\ \Rightarrow x \in A' \:or \:x \in B'\\\Rightarrow x \in A' \cup B'\\\therefore (A ∩ B)' = A' ∪ B' [/tex]

It is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.

What is a set ?

Sets are represented as a collection of well-defined objects or elements.

It is given that A , B , C , X are sets with A , B and C are subsets of X.

Let's assume X be an element of A intersection B complement. or (A ∩ B)'.

i.e.,

X ∈ (A ∩ B)'

Also , we can say that :

X ∉ ( A ∩ B)

This implies :

X ∉ A or X ∉ B

or we can also say that :

X ∈ A' or X ∈ B'

or

X ∈ A' ∪ B'

So , we can conclude that :

(A ∩ B)' = A' ∪ B'

or A Intersection B complement is equal to the union of the complements of the sets A and B.

Therefore , it is proved that , A Intersection B complement is equal to the union of the complements of the sets A and B i.e., (A ∩ B)' = A' ∪ B'.

Learn more about sets here :

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Rick and tom share a reward of $75 in a ratio of 2:3. how much money does each of them get?

Answers

Answer:

Rick gets $30 and Tom gets $45.

Step-by-step explanation:

If Rick gets 2 parts, and Tom gets 3 parts, then there are 5 parts. If $75 is split into 5 parts, each part will be worth $15.

Hence,

Rick gets 2 * $15 = $30

Tom gets 3 * $15 = $45

1. Find the equation of a parabola with a focus of (0, -6) and directrix y = 6.

Max points

Answers

9514 1404 393

Answer:

(d)  y = -1/24x² (b)  y = 1/36x²

Step-by-step explanation:

1. The point halfway between the focus and directrix is the origin. That is, the vertex of the parabola is the origin. Then its equation can be written ...

  y = 1/(4p)x²

where p is the distance from the vertex (origin) to the focus. Here, that distance is -6, so 4p = -24 and the parabola's equation is ...

  y = -1/24x²

__

2. Same deal. The vertex is the origin, but this time the focus is above the origin by 9 units. Then the equation is ...

  y = 1/36x²

what’s 5 5/32 (as an mixed number ) as a decimal.

Answers

Answer:

Convert 5 5/32 to an improper fraction.

Step-by-step explanation:

Exact Form:

165/32

Decimal Form:

5.15625

Mixed Number Form:

5 5/32

Answer:

[tex]{ \tt{5 \frac{5}{32} = \frac{(32 \times 5) + 5}{32} }} \\ \\ = { \tt{ \frac{165}{32} }} \\ \\ = { \boxed{ \tt{5.15625}}}[/tex]

4. k(x) × g(x) × f(x)​

Answers

[tex]k(x) \times f(x)[/tex]

[tex](2x + 5) \times (x - 1)[/tex]

[tex]2 x(x - 1) + 5(x - 1)[/tex]

[tex] ({2 x }^{2} - 2x) + (5x - 5)[/tex]

[tex] {2x}^{2} - 3x - 5[/tex]

________________________________

[tex]k(x) \times g(x) \times f(x)[/tex]

[tex]g(x) \times (k(x) \times f(x))[/tex]

[tex] ({6x }^{2} - 4x + {3x}^{4} ) \times ( {2x}^{2} - 3x - 5)[/tex]

[tex] {6x}^{2} ( {2x}^{2} - 3x - 5) - 4x ( {2x}^{2} - 3x - 5) + {3x}^{4} ( {2x}^{2} - 3x - 5)[/tex]

[tex]12 {x}^{4} - 18 {x}^{3} - 30 {x}^{2} - {8x}^{3} - 12 {x}^{2} - 20x + {6x}^{6} - 9x {}^{5} - {15x}^{4} [/tex]

Write that down the equation for the lines that is the graphs are depicted below

PLZ HELP 20 points

Answers

A(1,2)

Find slope of line (m)

[tex]\\ \sf\longmapsto m=\dfrac{2-0}{1-0}[/tex]

[tex]\\ \sf\longmapsto m=2[/tex]

Putting in y=mx+b

[tex]\\ \sf\longmapsto y=mx+b[/tex]

[tex]\\ \sf\longmapsto 2=2(1)+b[/tex]

[tex]\\ \sf\longmapsto 2=2+b[/tex]

[tex]\\ \sf\longmapsto b=2-2=0[/tex]

Equation of the line

[tex]\\ \sf\longmapsto y=2x[/tex]

Answer:

y = 2x

Step-by-step explanation:

The line passes through the origin and holds the point A(1, 2).

This is a proportional relationship:

y = kx

Considering the coordinates of the point A:

2 = 1*k ⇒ k = 2

The line is:

y = 2x

hello there


I'm looking for some help here thanks, giving brainliest if able to.

Answers

Answer:

See explanation.

Step-by-step explanation:

0. 333... is 1/3

0.16 is 1/6

0.666... is 2/3

0.83 is 5/6

brainliest please. . .

What is the range of the following relation?

Answers

Answer:

The range is the y-values that satisfices the graph.  0 to  all negative  numbers.

Step-by-step explanation:

The graph highest value is 0 on the y-axis and goes down ( any negative numbers).

Graph the number on the number line. Then use your number line to find the
absolute value.

Answers

Answer: 9

Step-by-step explanation:

The opposite of -9 is 9.

An item is priced at $14.29. If the sales tax is 5%, what does the item cost including sales tax?

Answers

Answer:3-5=787879. youu

Step-by-step explanation:

Need help on #9 and #10 please ASAP. Was busy with a family emergency and missed my class on this.

Answers

Answer:

#9

given, angle BOD = 95 degree

and angle     COD = 35 degree

assume that, angle BOC = x degree

so, angle BOC + angle COD = angle BOD

or, x + 35 degree = 95 degree

so, x = 95 degree - 35 degree = 60 degree

so, angle BOC = 60 degree

#10

given, angle AOC = right angle = 90 degree

and angle    AOB = 30 degree

assume that, angle BOC = y degree

so, angle AOB + angle BOC = angle AOC

or, 30 degree + y = 90 degree

so, y = 90 degree - 30 degree = 60 degree

so, angle BOC = 60 degree

Step-by-step explanation:

what is the decimal of 3/8

Answers

Answer:

3/4 in decimal form= 0.375

have a nice day <3

given:

[tex] \frac{3}{8} [/tex]

to find:

the decimal form

solution:

to convert to decimal just divide the numerator by the denominator.

[tex] \frac{3}{8} [/tex]

[tex] = 0.375[/tex]

[tex]1sf = 0.4[/tex]

The image of point (−3, 5) under translation T is (6, -8). What is the image of point (4, 7) under the same translation?

Answers

Answer:

(13,-6)

Step-by-step explanation:

If you are at (-3,5) and you translate T to give you (6,-8), that means you translated (9,-13) because you moved right 9 units in the positive x direction and down 13 units in the negative y direction.

Apply this translation T to (4,7) and you get (13,-6).

Answer:

(13,  -6)

Step-by-step explanation:

Firstly, we need to find the translation. This can be achieved by calculating the amount the x and y coordinate shifts. Simply use the following equation:

[tex](x2 - x1, y2 - y1)[/tex]

Where x1 and y1 are the coordinates of the first set and x2 and y2 are the second. Plug the variables in:

[tex](6 - (-3), -8 - 5)\\(9, -13)[/tex]

So the x coordinate is shifted 9 positively and the y coordinate is shifted 13 negatively.

To calculate the new translation of the new point, add the translation onto the given coordinates:

[tex]( 4 + 9, 7 + (-13) )\\(13, -6)[/tex]

So the new point is (13,  -6).

Hope this helps!

what is 5 +10 - 20 x 4

Answers

Answer:

-65 is the right answerrr

Which of these expressions are equal to 4? Select THREE that apply.

Answers

There’s no picture- send me a picture and I’ll be happy to help

What is h in h/7.5 = 3.2

Answers

Answer:

24

Step-by-step explanation:

Answer:

24 is the answers for the question

Step-by-step explanation:

please mark me as brainlest


my baby chickie is chuuu pretty

Answers

Answer:

Don't quite see how this should fall into the mathematics category

The sum of 6 times and 4 is 2

Answers

Answer:

6x +2=3

Step-by-step explanation:

x would represent the unknown number

The sum refers to addition

6 times a number would be 6x (you can use any variable, but for this example, I'm using x)

When you put it all together, it is 6x + 2 = 3

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