which table represents a nonlinear function? Help please!

Answer:

Andy is designing a dice tray in the shape of a rectangular prism to use during a role-playing game. The tray needs to be three centimeters high and have a volume of 252 cubic centimeters in order for the dice to roll properly. The length of the tray should be five centimeters longer than its width.

The volume of a rectangular prism is found using the formula V = l · w · h, where l is the length, w is the width, and h is the height.

Complete the equation that models the volume of the tray in terms of its width, x, in centimeters.

3x2 + 15x = 252

Is it possible for the width of the tray to be 7.5 centimeters?

no it is too large

Step-by-step explanation:

An equation is formed when two equal expressions. The equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

An equation is formed when two equal expressions are equated together with the help of an equal sign '='.

Let the width of the rectangular prism die be represented by x.

Given that the length of the tray should be five centimeters longer than its width. Therefore, the length and the width of the prism can be written as,

Width = x

Length = x + 5

Further, it is given that the volume of die is 252 cubic centimeters in order for the dice to roll properly. Also, the height of the prism is 3 centimeters. Therefore, the Volume can be written as,

Volume = Length × Width × Height

252 = (x + 5) × x × 3

252 = 3x(x+5)

252 = 3x² + 15x

3x² + 15x - 252 = 0

Hence, the equation that models the volume of the tray in terms of its width, x, in centimeters is 3x² + 15x - 252 = 0.

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Answer:

100.

Step-by-step explanation:

25%*400

=100

¡Espero que esto haya ayudado!

Find full question attached

Answer and explanation:

The perimeter of a rectangle is the sum of all the sides of the rectangle.

From the question(attachment) we can see the length and width of the rectangle given. Therefore, to find the perimeter of the rectangle we add up the length(2 sides) and the width(2 sides).

The width = 6x +1

The length = 2x-5

Therefore the equation of the perimeter 120 :

6x-1+6x-1+2x+5+2x+5 =120

Also same thing as

2(6x-1)+2(2x+5)=120

Hence, correct option is C

Answer:

If y = -30 when x = 15

then x = 60 when y = 60

Answer:

A, [tex]\sqrt{17}[/tex]

Step-by-step explanation:

a^2 + b^2 = c^2

8^2 + b^2 = 9^2

64 + b^2 = 81

b^2 = 17

b = [tex]\sqrt{17}[/tex]

Answer:

by pythagoras theorem

9² = 8² + x²

x² = 81 - 64

x² = 17

x = root 17

option A

Answer:

The law of Sines is used to determine a missing side or angle measurement

Step-by-step explanation:

When saying Sine Law, I am pretty sure you mean the Law of Sines.

This is the equation

a/sine a = b/sine b

To use the Law of Sines you need 2 angle measurements and 1 side length, or 2 side lengths and 1 angle measurements. Law of Sines is used to find the missing angle or side. Not to find the third side.

To find the length of the third side you would use pythagorean theorem.

Answer:

side DA = side CB = slope is Undefined

side DC = side AB = slope is 0

Step-by-step explanation:

To find the slope we use the following

m = [tex]\frac{(y2 - y1)}{(x2 - x1)}[/tex]

The slope for side DA is the same as side CB; also their value for x value will be the same on the line; leaving the bottom of the slope equation at 0.

That means that side DA = side CB = slope Undefined

The slope for side DC is the same as side AB; also their value for y value will be the same on the line; leaving the top of the slope equation at 0.

That means that side DC = side AB = slope 0

Answer:

5/36

Step-by-step explanation:

So a pair of dice is rolled. 2 dices. A dice has 6 numbers (1,2,3,4,5,6).

Now draw a sample space.

 1  2  3  4  5  6

1 2  3  4  5  6  7

2 3  4  5  6  7  8

3 4  5  6  7  8  9

4 5  6  7  8  9  10

5 6  7  8  9  10  11

6 7  8  9  10  11  12

It's asking for SUM, so we plus. Thats why you see this.

So look for all the 8's in the sample space. Theres one in (6,2), (5,3), (4,4), (3,5) and (2,6). Thats 5. We divide that with the total. The total is 36 because there are 36 possible values. so 5/36

Answer:

4.8 x 10^12

Step-by-step explanation:

Move the decimal to the second space so:

4.800000000000

Then count how many spaces the decimal moved so:

12

Then get rid of the 0s and add the x 10^12 so: 4.8 x 10^12.

Step-by-step explanation:

4,800,000,000,000 = 4.8 x 10^12

This is a conversion to standard form question. If you wish to venture further into it/understand this topic better, you may want to follow my Instagram account (learntionary), where I post some of my own notes on certain topics and also some tips that may be useful to you :)

Answer:

Q² (R³,S)

Step-by-step explanation:

Answer:

b-6.9 ≤ 12

Step-by-step explanation:

Answer:

53 degrees

Step-by-step explanation:

ACB seems to be a right angle so since ACD is 37 degrees:

DCB+37=90

DCB=53

Answer:53 degrees

Step-by-step explanation:

90-37= 53

Answer:

[tex](8\sqrt{15}).b^{\frac{9}{2} }[/tex]

Step-by-step explanation:

[tex]\sqrt{24b^{3} } . \sqrt{40b^{2} } .b^{2} = (\sqrt{24})b^{\frac{3}{2} } . (\sqrt{40})b. b^{2} \\\\= (\sqrt{24.40}).b^{\frac{3}{2} + 1 +2} \\\\= \sqrt{960} .b^{\frac{9}{2} } \\\\= 8\sqrt{15}.b^{\frac{9}{2} }[/tex]

Answer:

8b^3\sqrt[15b]

Step-by-step explanation:

I did it on Khan Academy

Answer:

The answer should be y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + 8, but its not one of the answers, so check the question again.

Step-by-step explanation:

If the second line is parallel, then the gradient will be the same:

y = -[tex]\frac{3}{2}[/tex][tex]x[/tex] + c

Find what c is (y-intercept) by inputting the given point into the equation (4,2):

2 =  (-[tex]\frac{3}{2}[/tex] x 4) + c

2 = -6 + c

c = 8

Answer:

b(20) = 60

Step-by-step explanation:

Here, given that ;

b(x) = -2(x-50)

we want to find the value of b(20)

what we need to do is to simply substitute x for 20

That will be:

b(20) = -2(20-50)

b(20) = -2(-30)

b(20) = 60

Answer:

28

Step-by-step explanation:

Replace x for 8 in the equation and solve it normally

Answer:

About 28

Step-by-step explanation:

Answer:90

Step-by-step explanation:Hi.

Here is your answer---

Let the number of Students in a school be x.

Thus,Number of Girls = 3/7 of the total Students

= 3/7 of x

= 3x/7

We know,

Number of Boys + Number of Girls = Total Students.

64 + 3x/7 = x

64 = x - 3x/7

64 = (7x - 3x) /7 [Taking L.C.M.]

64 × 7 = 4x

x = 60 × 7

x = 420

Total number of Students in a school is 420.

Thus, Number of Girls = 3/7 × x

= 3/7 × 420

= 90

Thus, the number of Girls in a school is 90.

______________________

Hope it helps.

Have a nice day.

Answer:

Variance is the difference between a Budgeted Amount and the Actual Amount. In terms of expenses, if the Budgeted amount is more than the Actual amount, the variance is Favorable because less was spent than was supposed to be spent.

The reverse is true.

Variance = Budgeted Amount - Actual amount

= 255 - 225

= $30

Percentage = Variance / Budgeted amount

= 30/255

= 11.76%

The variance is FAVORABLE because the actual amount was less than the budgeted amount.

Answer:

How are we supposed to know .???

we can only see half of the problem

Step-by-step explanation:

Answer:

Pauline reflected the original figure over the x-axis:

The coordinates of point B will be (4,3)

Carl reflected the original figure over the y-axis:

The coordinate of points B will be (-4,-3)

When Pauline reflect the original figure over the x-axis, the coordinate of point B' will be (-2, -4). When Carl reflect the original figure over the y-axis, the coordinate of point B' will be (2, 4).

A reflection can be defined as a type of transformation which moves every point of the object by producing a flipped but mirror image of the geometric figure.

In Mathematics, a reflection over the x-axis is given by this transformation rule:

(x, y)                   →               (x, -y)

Point B = (4, -3) → Point B' = (4, 3)

In Geometry, a reflection over the y-axis of a graph is given by this transformation rule (x, y) → (-x, y). This ultimately implies that, the coordinates of point B' after a reflection over the y-axis is as follows:

Point B = (4, -3) → Point B' = (-4, -3)

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Answer:

what is the context? i dont understand what is increasing/ decreasing pls elaborate more!!

Step-by-step explanation:

Answer:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

Step-by-step explanation:

The ratio 3:2 is length:width. This means that if you were to simplify the values by a common factor, the result would always be [tex]\frac{3}{2} = \frac{length}{width}[/tex].

To find three dimensions, pick any random three numbers and multiply one by one to both numerator and denominator:

[tex]1,2,3\\\\\frac{3}{2}(\frac{1}{1} )= \frac{3}{2} \\\\\frac{3}{2} (\frac{2}{2} )=\frac{6}{4}\\\\\frac{3}{2} (\frac{3}{3} )=\frac{9}{6}[/tex]

Convert the given ratios to length and width:

1.) 3:2 → length = 3cm ; width = 2cm

2.) 6:4 → length = 6cm ; width = 4cm

3.) 9:6 → length = 9cm ; width = 6cm

If you were to simplify each, the result would be 3:2.

:Done

Answer:

The increase in the sale of hot chocolate is correlated to, but not caused by, the sale of coffee.

Step-by-step explanation:

For Plato

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Answer:

x=-2

Step-by-step explanation:

R=1

Y=1

So the equation is

4x+9=1

4x=1-9

4x=-8

x=-8/4

x=-2

Answer:

[tex]y=\frac{7-3x}{j}[/tex]

Step-by-step explanation:

First, subtract 3x. This leaves you with jy=7-3x. Then, divide by j, leaving you with [tex]y=\frac{7-3x}{j}[/tex] .

Answer:

equation= y=4x+6 slope= 4 yint= 6

Step-by-step explanation:

use y2-y1/x1/x2 then look where the zero is on the table. hope this helped.

Answer: I think its 131.19, but not too sure.

Step-by-step explanation:

To find the speed, you would do distance/time, so I added 300 and 7. I got 307, then I divided 307 (distance) from 2.34 (time). I got 131.19

Do you want the speed of both cars? then the answer would be:

(300)- first car= 128.20

(307)- second car= 131.19 (if you need to round this answer, it would be 131.2)

I think the answer is b

I think the answer is b

I think the answer is b

I think the answer is b