Solve the quadratic equation by completing the square.
x²-18x+75=0

First, Choose the appropriate form and fill in the blanks with the correct numbers.

Then, Solve the equation. Round your answer to the nearest hundredth. If there is more than one solution, separate them with commas.

Form:

1. (x + _)² = _

2. (x - _)² = _

Solution: x = _

Fill in the underscores with correct values, Show work in full please

Answer:

y=x+3

Step-by-step explanation:

slope is 1

intercept is 3

Answer:

12

Step-by-step explanation:

With PEMDAS you could know to do parentheses FIRST

6 x (10 - 2^3)

6 x (2)

12

Answer:

your answer would be 12

Step-by-step explanation:

Incordding to math this dot is mutpcation

but next to it is is a bracket in math a bracket me you need to add or subtrack evrything  in it  then multpliy the answer with the the number in it

so we just need simplfy what in the bracket

so the equation is actaliy 6x2.Hence the answer is 12

Answer:

points

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

Extending my answer to be able to send

Measure of ∠6 = (3x + 7)°

Measure of ∠7 = 76°

∠6 and ∠7 are vertically opposite angles, so their measures will be equal.

Which means :

[tex] = 3x + 7 = 76[/tex]

[tex] = 3x = 76 - 7[/tex]

[tex] = 3x = 69[/tex]

[tex] = x = \frac{69}{3} [/tex]

[tex]\color{hotpink} = x = 23[/tex]

Let us now place 23 in the place of x and see if it forms 76 :

[tex] = 3x + 7 = 76[/tex]

[tex] = 3 \times 23 + 7 = 76[/tex]

[tex] = 69 + 7 = 76[/tex]

[tex] = 76 = 76[/tex]

Thus, the value of x we found is correct.

Therefore, the value of x = 23

Given:

The graph passes through the given points (4,-2) and (2,0).

To find:

The quadratic function [tex]y=a(x-h)^2[/tex].

Solution:

We have, quadratic function

[tex]y=a(x-h)^2[/tex]            ...(i)

The graph passes through the given points (4,-2) and (2,0). It means the equation must be true for these points.

Putting x=4 and y=-2 in (i), we get

[tex]-2=a(4-h)^2[/tex]         ...(ii)

Putting x=2 and y=0 in (i), we get

[tex]0=a(2-h)^2[/tex]          ...(iii)

Divide (iii) by (ii).

[tex]\dfrac{0}{-2}=\dfrac{a(2-h)^2}{a(4-h)^2}[/tex]

[tex]0=\dfrac{(2-h)^2}{(4-h)^2}[/tex]

[tex]0=(2-h)^2[/tex]

[tex]0=2-h[/tex]

[tex]h=2[/tex]

Putting h=2 in (ii), we get

[tex]-2=a(4-2)^2[/tex]

[tex]-2=a(2)^2[/tex]

[tex]-2=a(4)[/tex]

Divide both sides by 4.

[tex]\dfrac{-2}{4}=a[/tex]

[tex]\dfrac{-1}{2}=a[/tex]

Putting [tex]a=-\dfrac{1}{2}[/tex] and h=2 in (i), we get

[tex]y=-\dfrac{1}{2}(x-2)^2[/tex]

Therefore, the required quadratic function is [tex]y=-\dfrac{1}{2}(x-2)^2[/tex].

Answer:

option no a gives odd number

for example 2+2+3=7

Answer:

Look down

Step-by-step explanation:

multiply each side by 7

0.3*7=2.1

Answer:

D (the last option)

Step-by-step explanation:

Subscribe to Clutch Gam3r on You Tube

Spread the Word!

Answer:

did you get the answer yet

Answer:

Graph C. Hope this is correct!!!

Step-by-step explanation:

Answer: It should be "B". the vertical axis is the time and the horizontal axis is number of trees.

This is what my teacher sent me.

Answer:

The most expensive she can buy is the soccerball

Step-by-step explanation:

Given

[tex]Total =\$29.00[/tex]

[tex]T\ Shirt = \$15.32[/tex]

[tex]Soccer\ Ball= \$12.87[/tex]

[tex]Baseball\ Cap = \$8.39[/tex]

[tex]Shin\ Guards = \$14.98[/tex]

[tex]Water\ Bottle = \$5.93[/tex]

Required

Using [tex]\$15.32 + c = \$29.00[/tex], what is the most expensive she can buy?

[tex]\$15.32 + c = \$29.00[/tex]

Subtract $15.32 from both sides

[tex]\$15.32 - \$15.32 + c = \$29.00 - \$15.32[/tex]

[tex]\$15.32 - \$15.32 + c = \$13.68[/tex]

[tex]c = \$13.68[/tex]

This means that she can not afford items that cost more than $13.68

i.e. the shin guards which costs $14.98

The items she can afford and their prices are:

[tex]Soccer\ Ball= \$12.87[/tex]

[tex]Baseball\ Cap = \$8.39[/tex]

[tex]Water\ Bottle = \$5.93[/tex]

The most expensive of them all is:

[tex]Soccer\ Ball= \$12.87[/tex]

Answer:7/2

(0,8)

Step-by-step explanation:

Subtract 7x from both sides

-2y=-7x-16

Divide both sides by -2

y=7/2x+8

Slope 7/2

Answer:

Step-by-step explanation:

Property of the parallelogram: Diagonal bisect each other.

Compare the halves of the diagonals to find the values of x and y, then determine the lengths of diagonals.

AC = 2(y + 15) = 2(8 + 15) = 2*23 = 46

Same for BD

BD = 2*5x = 2*5*5 = 50

Now we have both measures:

Correct option is A

Answer:

ac -46

bd-50

Step-by-step explanation:

i hope i helped

Answer:

y = 3

Step-by-step explanation:

We need to find the slope. We do so by choosing any two points and dividing the change in the y-coordinates (their difference) by the change in the x-coordinates (their difference). Let's just choose (1, 3) and (0, 3). The slope is:  . So, the slope is 0.

We want to write a line in slope-intercept form, which is: y = mx + b, where m is the slope and b is the y-intercept (where the line crosses the y-axis). Here, the slope m = 0. Looking at the graph, we see that the y-intercept is (0, 3), so b = 3. Then, our line is: y = 0x + 3  ⇒  y = 3.

Another note is that this is a horizontal line. One thing to remember is that all horizontal lines have slopes of 0, so their function is simply y = k, where k is a constant through which the line cuts through.

Answer:

Look Down

Step-by-step explanation:

7) D

8) B

9) A

10) B

11) C

12) D

13) A

14) B

Answer:

7=c

8=b

9=a

10=d

11=A

12=D

13=A

14=B

Step-by-step explanation:

Answer:

Option A

Step-by-step explanation:

Original equation of the parabola,

f(x) = x²

Step 1.

Function 'f' is vertically stretched by a scale factor of 4,

Image function will be,

g(x) = 4x²

Step 2.

Followed by the translation by 3 units to the right and 1 unit down,

h(x) = g(x - 3) + 1

h(x) = 4(x - 3)² + 1

Therefore, Option A will be the correct option.

Answer:

90v - 80

Step-by-step explanation:

-10 ( -9v + 8 )

Distributive property (multiply what is in the parenthesis by -10)

-10 * -9v + -10 * 8

90v - 80

2 negatives become a positive

Hope this helped!

Have a supercalifragilisticexpialidocious day!

Answer:90v-80

Step-by-step explanation:

Answer:

The simplest form of 44/160 is 11/40.

Step-by-step explanation:

Answer:

[tex] \frac{44}{160} = \frac{(44 \div 4)}{(160 \div 4)} = \frac{11}{40} \\ [/tex]

Answer:

B

Step-by-step explanation:

The sign of the leading coefficient in both is positive so they both open up

Answer: 12

Step-by-step explanation 4 times 3x equals 12 then minus the 1 equals 11 then 3x times x =b hope this helps tried to explain it best i could explain it (b=12) this was the answer on my quiz

Answer:

4/6

Step-by-step explanation:

3 x 2 = 6

2 x 2 = 4

2/3 = 4/6

Answer:

32e345y1111134566777

Step-by-step explanation:

because

Answer:

111111 it is 50 $

Step-by-step explanation:

Answer:

the answer is    8

Step-by-step explanation:

Answer:

[tex](5 \times 10)(9 \times 10) = 50 \times 90 = 4500[/tex]

Answer:

125

Step-by-step explanation:

5 x 5 x 5

when doing equations like these we go left to right so

25 x 5

125

Answer:

B. x2-3x+1

Step-by-step explanation:

The  solution to the division problem is x² -3x + 1.

The correct option is (B).

An algebraic expression known as a polynomial requires that all of its exponents be whole numbers. Any polynomial must have variable exponents that are non-negative integers. Although a polynomial contains variables and constants, we are unable to divide a polynomial by a variable.

Given:

x³ + x² - 11x + 4/x + 4

Now, perform the division we get

                  (x+ 4) | x³ + x² - 11x + 4 | x² -3x + 1

                             x³ + 4x²

                     -______________

                                   -3x² - 11x

                                   -3x² - 12x

                     -______________

                                              x  + 4

                                              x  + 4

                            -______________

                                              0

Hence, the solution is x² -3x + 1.

Learn more about Polynomial here:

https://brainly.com/question/11536910

#SPJ2

Answer:

86 / 6 = 14.33

14.33 * 4 = 57.33

(round to 58)