What’s the expression of this in simplest form

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Explanation:

To find the rate of change, we'll need to find the slope.

Focus on Marisol's data table. Let's pick the first two rows to see that

(x1,y1) = (2,12)

(x2,y2) = (3,18)

The slope through these points is....

m = (y2-y1)/(x2-x1)

m = (18-12)/(3-2)

m = 6/1

m = 6

So she can purify 6 ounces of water per hour. We'll keep this rate in mind for later.

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Now move onto Timothy's table

Again we'll pick the first two rows. You can pick any two rows you want, but the first two just seems most convenient.

(x1,y1) = (4,36)

(x2,y2) = (6,54)

m = (y2-y1)/(x2-x1)

m = (54-36)/(6-4)

m = 18/2

m = 9

Timothy's machine can purify at a rate of 9 ounces per hour. His rate is faster compared to Marisol.

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To summarize, we have these rates

Zorian's rate must be between 6 and 9 oz per hour.

So we must look through the answer choices and see which slope is between 6 and 9. That would be for the equation y = 8x since the slope here is 8, which is between 6 and 9.

Something like y = 15x doesn't work because the rate 15 is larger than Timothy's rate.

So that's why y = 8x is the answer.

Side note: The equation y = 8x is the same as y = 8x+0. It is in the form y = mx+b with slope m = 8 and y intercept b = 0.

Answer:

A

Step-by-step explanation:

Answer:

5.20

Step-by-step explanation:

I took a test and that was the answer

Answer: The answer is 1/6.

Step-by-step explanation:

1/4 ^2 = 0.0625 which = 1/16.

The area of the new parallelogram is 1/16 the area of the original parallelogram statement best describes the relationship of the area of the new parallelogram to the area of the original parallelogram.

When a shape is dilated by a scale factor of "k," the area of the new shape is equal to the original area multiplied by the square of the scale factor.

The given scale factor is 1/4.

Therefore, the area of the new parallelogram would be (1/4)² = 1/16 of the area of the original parallelogram.

Hennce, "The area of the new parallelogram is 1/16 the area of the original parallelogram."

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Answer:

Explanation below

Step-by-step explanation:

Angles in a Triangle

There are two basic relations of angles we need to recall:

Note a, b, and c are the internal angles of the triangle. The angle c is what is needed to a+b to complete 180°, thus:

c = 180 - ( a + b )

Also, note c and d are supplementary angles. Again, c is what is needed to d to complete 180°, thus

c = 180 - d

From the two relations above, it follows that:

a + b = d

Answer:

70

Step-by-step explanation:

Answer:

a. Factor (divisor).  

b. Factor (divisor).  

c. Multiple.

Step-by-step explanation:

Given the algebraic expression;

28 = 7 * 4

We can re-write the expression as;

1. [tex] \frac {28}{4} = 7[/tex]

2. [tex] \frac {28}{7} = 4[/tex]

Hence, we can deduce the following points from the above algebraic expression;

a) With respect to 28, 4 represents a factor or divisor.

b) With respect to 28, 7 represents a factor or divisor.

c) With respect to each of the numbers 7 and 4, 28 represents a multiple.

Answer:

b

Step-by-step explanation:

Answer:

J,F,K

Step-by-step explanation:

J,F,K

A sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

A rectangle is a quadrilateral with four right angles and four sides of equal length. It is one of the most common shapes in nature and is found in everything from architecture to floor patterns.

Now, In order to transform rectangle JKLM into J'K'L'M', a series of transformations must be applied.

The first transformation is a translation of the rectangle along the x-axis by 3 units and along the y-axis by -4 units.

This will move the original rectangle from its original position, JKLM, to the new position, J'K'L'M'.

Next, a reflection about the y-axis needs to be applied, which will flip the rectangle around the y-axis.

This will result in the length of side K'L' being 6 units.

Finally, a rotation about the origin needs to be applied. The rotation should be 90 degrees counterclockwise in order for the coordinates of vertex K' to be (-3,2) and the coordinates of vertex M' to be (3,-2).

Therefore, a sequence of transformations to rectangle JKLM that will result in rectangle J'K'L'M' is a translation by 3 units and -4 units, a reflection about the y-axis, and a rotation of 90 degrees counterclockwise about the origin.

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Answer:

D-Day in the year 1944.

Step-by-step explanation:

None, this is self explanatory! Check web sources for more ^^

Answer:

1944, that the invasion of Europe began behind the largest landing force the world had ever seen. Aka D-day.

Step-by-step explanation:

Look it up.

Answer:

There will be 4 photos on each page

Step-by-step explanation:

96/24=4

Answer:

24

Step-by-step explanation:

First find the area of the metal plate: 32*12=384

Find the are of each small square to see how much space it takes: 4*4=16

Divide the two to see how many can fit: 24

Tell me if you have any questions!

[tex]\huge\underline{\overline{\mid{\bold{\red{ANSWER}}\mid}}}[/tex]

Area of the metal plate = [tex] L \times B [/tex]

= [tex] 32cm \times 12cm \\ 384cm^{2} [/tex]

Area of small squares = [tex] a^{2} [/tex]

[tex] 4cm \times 4cm \\ =16cm^{2} [/tex]

Number of squares that can be cut =

[tex] \frac{384cm^{2} }{16 {cm}^{2} } = 24[/tex]

Hence 24 squares can be cut.

Answer:187.5

Step-by-step explanation: I am bad at explaining but il try.

if 1/2x = 75y, that means 1x = 150. 1/4x is 1/2x divided by 2 which is 37.5.

2 1/4 is two 150 and one 37.5 so the awnser should be 187.5.

Answer:

B on edge

Step-by-step explanation:

Got its right on the test

(B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex]

Therefore, the correct option is (B) [tex]-1,331m^{18} nx^{15} px^{21}[/tex].

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Answer:

518

Step-by-step explanation:

P = 2

Q = 8

p3 + 64q

Multiply "p" (which is 2) with 3

Multiply "q" (which is 8) with 8

Add the two numbers you get

And you have you answer

I hope this helps. :)

Answer:

7/3

Step-by-step explanation:

6- 13 = -7

0-3 = -3

7/3

Answer: you can use the table of values. And just plug these in

Step-by-step explanation:

x values: -2, -1, 0, 1, 2

Y values: 1,3,5,7,9

You're welcome! :)

Sorry I couldn't insert a picture.

Answer:

6.4

Step-by-step explanation:

[tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

We can write the equation of a line parallel to a given line if we know a point on the line and an equation of the given line. y=2x+3 . Parallel lines have the same slope. The slope of the line with equation y=2x+3 is 2 .

Given

Equation of the line is 3x + 5y = 8.

Point = (10, 4)

First we find the slope of the line  3x + 5y = 8 by replacing it into slope intercept form:

[tex]3x + 5y = 8[/tex]

⇒ [tex]5y = -3x + 8[/tex]

⇒ [tex]y = \frac{-3}{5} x + \frac{8}{5}[/tex]

Therefore, the slope of the line is m = [tex]\frac{-3}{5}[/tex].

Now since the equation of the line with slope m passing through a point [tex](y-y_{1} )=m(x-x_{1})[/tex]

⇒ [tex]y - 4=\frac{-3}{5} (x-10)[/tex]

⇒ [tex]5(y-4)=-3(x-10)[/tex]

⇒ [tex]5y-20=-3x+30[/tex]

⇒ [tex]3x+5y=30+20[/tex]

⇒ [tex]3x+5y=50[/tex]

Hence, [tex]3x+5y=50[/tex] is the equation of the line through point (10,4) and parallel to 3x+5y=8.

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Based on the ratio of the jellybeans and the number of jellybeans, the number of each is:

To find the number of yellow jellybeans:

= Ratio of Yellow/ Sum of ratios x Number of jellybeans in total

= 6 / (6 + 5 + 4) x 60

= 24 yellow jellybeans

Orange jellybeans:

= 5 / 15 x 60

= 20 orange jellybeans

Red jellybeans:

= 4 / 15 x 60

= 16 red jellybeans

In conclusion, there are several colors of jellybeans.

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Answer:

There's no value of x that can make the

equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Step-by-step explanation:

5x + 6 = 7x + 5 - 2x

5x + 6 = 7x - 2x + 5

5x + 6 = 5x+5

substract 5x from each side

5x-5x+6=5x+5-5x

6 = 5

This conclude that the sides of the equation are not equal.

i.e. L.H.S ≠ R.H.S

We know that when L.H.S ≠ R.H.S, then there is no solution of that equation as no x value can satisfy the equation.

Therefore, there's no value of x that can make the equation 5x + 6 = 7x + 5 – 2x true.

Hence, option 'A' is true.

Answer:

Ya it’s the third one/ bottom one/ C.

Step-by-step explanation:

If u want one I will give it but if not then there is the answer

Answer:

Linear functions apply to real world problems that involve a constant rate. Learning Objectives. Apply linear equations to solve problems about rates of change ... For example, the rate at which distance changes over time is called velocity.

Step-by-step explanation:

Answer:

y-intercept is = 7

Step-by-step explanation:

Answers:

B) There are 3 terms in the simplified product.

E) The final simplified product is –3y2 + 37y – 84.

The true statements are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product.

Given the polynomial expression, –3(y – 5)² – 9 + 7y, to simplify, do the following:

–3(y – 5)(y – 5) – 9 + 7y

-3y² + 30y - 75 - 9 + 7y

Combine like terms

-3y² + 37y - 84 (three terms)

Therefore, the statements that are true are:

B. The simplified product has three terms

E. –3y2 + 37y – 84 is the final simplified product

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Answer: B

Step-by-step explanation: