Diego and Amit were trying to solve the equation: x^2-8x=1x 2 −8x=1x, squared, minus, 8, x, equals, 1 Diego said, "I can solve by completing the square. If I add 161616 to each side, I can rewrite the equation as (x-4)^2=17(x−4) 2 =17left parenthesis, x, minus, 4, right parenthesis, squared, equals, 17." Amit said, "I'll subtract 111 from each side and rewrite the equation as x^2-8x-1=0x 2 −8x−1=0x, squared, minus, 8, x, minus, 1, equals, 0. Then I'll use the quadratic formula with a=1a=1a, equals, 1, b=-8b=−8b, equals, minus, 8, and c=-1c=−1c, equals, minus, 1." Whose solution strategy would work? Choose 1 answer: Choose 1 answer: (Choice A) A Only Diego's (Choice B) B Only Amit's (Choice C) C Both (Choice D) D Neither

Answer:

The number of softballs that would fill the room is 221796 softballs

Step-by-step explanation:

First we will determine the Volume of the room.

The volume of a room is given by

[tex]Volume = lwh[/tex]

From the question, the given dimension of the room is  10 by 12 by 24 foot

Hence the volume of the room = 10 × 12 × 24

= 2880 cubic feet (ft³)

Convert to cubic inches

To do this, multiply the answer in cubic feet by (12 × 12 × 12)

(NOTE: 1 foot = 12 inches)

Hence, 2880 cubic feet = 2880 × 12 × 12 × 12 cubic inches

= 4976640 cubic inches

This is the volume of the room.

To estimate the number of softballs that would fill the room, we will determine the number of softballs which would give a total volume that is equal to the volume of the room.

First, we will find the volume of one softball

Diameter of softball = 3.5 inches

∴ Radius of softball, r = 3.5/2 inches = 1.75 inches

∴ r = 1.75 inches

Now, for the volume of one softball

From,

V = 4/3 (3.14)r^3

[tex]V = \frac{4}{3}(3.14)r^{3}[/tex]

[tex]V = \frac{4}{3}(3.14)[/tex] × [tex]1.75^{3}[/tex]

[tex]V = 22.43791667[/tex] cubic inches

This is the volume of one softball

The number of softballs that would fill the room will be

= Volume of the room / Volume of one softball

= 4976640 cubic inches / 22.43791667 cubic inches

=221795.9926

≅221796

Hence, the number of softballs that would fill the room is 221796 softballs

Answer:

16.28

Step-by-step explanation:

0.22/m=0.05/3.7

0.814/0.05=m

m=16.28

Answer:

X=3

Step-by-step explanation:

10x+2= 32

10x=32-2

10x=30

X=30÷10

X= 3

Answer:

x=3

Step-by-step explanation:

10x + 2 = 32

- 2 -2 (2's cancel each other out )

10x = 30 divide each side by 10 and 10s cancel out so all your left with x =3

[tex]x = 3[/tex]

Answer: 41. A) 0      42. B) 1/12       43. B) 16

Step-by-step explanation:

The pattern is: multiply the bottom row and subtract the top number.

Sample: 3 x 2 - 5 = 1

              5 x 3 - 6 = 9

              2 x 1 - 1 = 1

41) 7 x 13 - x = 91

         91 - x = 91

                x = 0

42)   1/2 x 1/2 - 1/6 = x

             1/4    - 1/6 = x

          3/12 - 2/12 = x

                     1/12 = x

Check the fractions. I had to guess what the denominators are because the image is blurry.                          

43)  8 x 3 - 8 - x

          24 - 8 = x

                16 = 0

Answer:

C) 2

Step-by-step explanation:

I don't have an explanation, I just guessed.

Answer:

(C) 2

Step-by-step explanation:

We will need to make a Given, Statement, and Reason table to solve this problem.

Given:                Statement:             Reason:

AC=CB               AC=2MC                Part Whole Postulate

AM=CM              AC=2x4=8              Substitution and Algebra

CM=4                  AB=2AC                 Part Whole Postulate

AN=14                 AB=2x8=16             Substitution and Algebra

Find:                   AB-AN=NB             Part Whole Postulate

NB                       16-14=2                   Substitution and Algebra

NB=2

Hope this helps! :)

Answer:

symmetry with respect to the y-axis

Step-by-step explanation:

f(x) = |x| has symmetry with respect to the y-axis. It looks like a V with the vertex at the origin.

The symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.

The given function is [tex]f(x)=|x|[/tex].

The function can be defined as,

[tex]f(x)=x;\;\;x\geq0\\f(x)=-x;\;\;x<0[/tex]

The function will always give the positive value of y or f(x) for all values of x.

The graph of the function is in the shape of V which is symmetric about the y-axis.

See the attached image.

Therefore, the symmetry of the function [tex]f(x)=|x|[/tex] is represented by the y-axis.

For more details, refer to the link:

https://brainly.com/question/24757478

Step-by-step explanation:

25^(4x) = (25^4)^x = (5^8)^x = 5^(8x).

Answer:

NO.

Step-by-step explanation:

The common difference is -4 and you can continue to add -4  for ever!!

Answer:

can you type it so i can answer it, i cant see the picture

Step-by-step explanation:

Answer:

Row 1 = 2 white flowers

Row 2 = 3 white flowers

Row 3 = 4 white flowers

Step-by-step explanation:

Instead of having 1.5 times as many pink flowers as white flowers, Molly has decided to plant a garden with twice as many pink flowers as white flowers per row. If she plants 3 rows, with 4, 6, and 8 pink flowers, how can you find the number of white flowers in each of those rows?

Let

White flowers = x

Pink flowers = 2x

Molly plants 3 rows with 4, 6 and 8 pink flowers

Number of white flowers in each row is

Row 1

Pink flowers = 4

2x = 4

Divide both sides by 2

x= 2

White flowers = 2 in row 1

Row 2

Pink flowers = 6

2x=6

Divide both sides by 2

x= 3

White flowers in row 2 = 3

Row 3

Pink flowers = 8

2x=8

Divide both sides by 2

x= 4

White flowers in row 3 = 4

Therefore, the number of white flowers in each rows are 2, 3 and 4 respectively

Answer:

To find the number of white flowers, use the constant of proportionality and the number of pink flowers per row. If Molly plants 4, 6, and 8 pink flowers in 3 rows, she has to plant 2, 3, and 4 white flowers in those rows, so there are twice as many pink flowers as white.

Step-by-step explanation:

This was the sample response on edge :)

Answer:

Step-by-step explanation:

Given a complex number z = x+iy, the modulus of the complex number is expressed as |z| = √x²+y².

Given the complex number z = 9+40i

The modulus of the complex number z will be expressed as;

|z| = √9²+40²

|z| = √81+1600

|z| = √1681

|z| = 41

Hence the modulus of the complex number |9+40i| is 41. Note that a complex number will return a real value.

Answer:

|9+40i| = 41

|-10+24i| = 26

He should have used 13 instead of 13i.

Step-by-step explanation:

PLEASE MARK BRAINLIEST

Edge 2021

Answer:

Solution of the system will be (-3, 6).

Step-by-step explanation:

If a system of linear equations have been given in the question then we can find the solution of the linear equations by solving these equation algebraically.

But when a graph of the system of equation have been given solution of the system is the point of intersections Or common points lying on both the lines.

From the given graph,

Coordinates of the common point of both the lines is (-3, 6).

Therefore, solution of the system will be (-3, 6).

Answer:  (-3, 6)

Step-by-step explanation:

you can see where the lines met

Answer:

[tex]M(h) = 7.50h + 50[/tex]

Step-by-step explanation:

Let's first get our variables straight. M is how much money you make each night, and h is the amount of hours she works.

This means that M will be what our function is equal to, aka the y-axis. h will be the x-axis.

We know that you earn a  rate of $50 per night through tax, and your hours worked doesn't influence this in any way. That means there will be a constant on this function, +50.

We also know that you earn 7.50$ per hour, which is directly influenced by how many hours you work, so we will have [tex]7.50h[/tex].

Combining this all together, we get

[tex]M(h) = 7.50h + 50[/tex].

Hope this helped!

Answer:

Step-by-step explanation:

From the graphs attached,

Let the coordinates of the two points given on the black line in the first graph are (-4, 2) and (-1, 10).

When these points have been rotated by 90° about the origin,

Rule for the rotation will be,

(x, y) → (y, -x)

Therefore, coordinates of the image points will be,

(-4, 2) → (2, 4)

(-1, 10) → (10, 1)

Therefore, red line given given in graph (1) and black line (After rotaion of 90° clockwise) in graph (2) will be same.

Answer:

yes they are the SAME.

Step-by-step explanation:

Answer:

Option C

Step-by-step explanation:

Answer:

-5 and -3 could both work in this situation

Step-by-step explanation

-5 + 4 = -1

| -1 | = 1

-3 + 4 = 1

| 1 | = 1

Answer:

________

-11

________

Answer:

D. 2

Step-by-step explanation:

For a linear equation, the rate of change between any given two point on the line is always constant and the same.

Therefore, since rate of change between point A and point B is said to be 2, therefore, the rate of change between point C and D would be the same as 2.

We can confirm this by using this formula to calculate the rate of change, which is: [tex] \frac{y_2 - y_1}{x_2 - x_1} [/tex]

Let,

[tex] C(1, 2) = (x_1, y_1) [/tex]

[tex] D(2, 4) = (x_2, y_2) [/tex]

Plug in the values into the formula:

[tex] = \frac{4 - 2}{2 - 1} = \frac{2}{1} = 2 [/tex]

As we can see, the rate of change between point C and point D is still the same as the rate of change between point A and point B = 2

Answer:

D) 2

Step-by-step explanation:

on edge

Ryan = 28 years

Tara = 30 years

Ryan is over 28 years old.

T = R + 2

T + R = 58

Replace T

(R + 2) + R = 58

2R = 56

R = 56 : 2

R = 28 years

T = 30 years

Answer:

2(x+7)+10

Step-by-step explanation:

The phrase that would best match the expression would be answer A.

Answer:

take 16.03 and subtract 2.9

16.03-2.9=13.13

so maria used 13.13 gallons

Step-by-step explanation:

Maria used 13.13 gallons of gas, because the 16.03 gallons she started with minus the 2.9 gallons she had left equals 13.13 gallons. You can check by adding 2.9+13.13 to equal the 16.03 she started with.

It's 0.125, it's not endless either

Therefore,  the  decimal value is [tex]0.125[/tex] i.e., option (C) is the correct answer.

What is the decimal?

Decimals are an alternative way to represent fractions in Mathematics. Instead of writing [tex]\frac{1}{2}[/tex], for example, you can express a fraction as the decimal [tex]0.5[/tex], where zero is in ones’ place and five is in tenth place.

Here given number is [tex]\frac{1}{8}[/tex] so the decimal value is [tex]0.125[/tex].

Hence, the  decimal value is [tex]0.125[/tex] i.e., option (C) is the correct answer.

To know more about the decimal

https://brainly.com/question/29439603

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infinite sequences of arithmetic expressions can have a value of 4

Step-by-step explanation:

infinite sequences of arithmetic expressions can have a value of 4

Answer:

[tex]\displaystyle x=\frac{y}{12}[/tex]

Step-by-step explanation:

We are given the equation:

[tex]y=4x+8x[/tex]

And we want to solve it for x.

We can combine like terms on the right-hand side:

[tex]y=12x[/tex]

We can now divide both sides by 12:

[tex]\displaystyle x=\frac{y}{12}[/tex]

In conclusion:

[tex]\displaystyle x=\frac{y}{12}[/tex]

Answer:

[tex]\Huge \boxed{ x=\frac{y}{12} }[/tex]

[tex]\rule[225]{225}{2}[/tex]

Step-by-step explanation:

[tex]y=4x+8x[/tex]

Combining like terms.

[tex]y=12x[/tex]

Dividing both sides by 12.

[tex]\displaystyle \frac{y}{12} =x[/tex]

[tex]\rule[225]{225}{2}[/tex]

Answer:

27

Step-by-step explanation:

This isn't one of your answer choices though.

DVD cost , $11 .

Shipping and handling fees , $6.95 .

Total money charged , $50.95 .

Let , total money is T .

So,  

[tex]11x+6.95=T[/tex] ( Here x is number of DVD )

[tex]11x+6.95=50.95\\\\11x=44\\\\x=4[/tex]

Therefore , total number of DVD purchased is 4 .

Hence , this is the required solution .

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{8}}}}}[/tex]

Step-by-step explanation:

First, finding the value of x

[tex] \sf{2x + 8 = 16}[/tex]

Move 8 to right hand side and change it's sign

[tex] \dashrightarrow{ \sf{2x = 16 - 8}}[/tex]

Subtract 8 from 16

[tex] \dashrightarrow{ \sf{2x = 8}}[/tex]

Divide both sides by 2

[tex] \dashrightarrow{ \sf{ \frac{2x}{2} = \frac{8}{2} }}[/tex]

Calculate

[tex] \dashrightarrow{ \sf{x = 4}}[/tex]

Value of x is 4

Now, Substituting / Replacing the value of x in order to find x+4

[tex] \sf{x + 4}[/tex]

plug the value of x

[tex] \dashrightarrow{ \sf{4 + 4}}[/tex]

Add the numbers : 4 and 4

[tex] \dashrightarrow{ \sf{8}}[/tex]

Hope I helped!

Best regards! :D

Answer:

4

Step-by-step explanation:

P={1,2,3,4,5,6}

Q={3,4,5,6,7,8,9}

PnQ={3,4,5,6}

Therefore, n(PnQ) =4