What is the range of the function shown in the graph below? answer type: interval, all real values except one, all real values except two, all real numbers
Interval:

Answer:

Step-by-step explanation:

We need the two numbers to tell us where the point is on the coordinate plane. The first number tells us where it is on the x-axis, and the second number tells us where it is on the y-axis. The very middle of the coordinate plane is the point (0, 0)

Based on this the answer is horizontol plane and x coordinate

Answer:

1/18(x-2)^2+45/18=y

Step-by-step explanation:

(x-2)^2+(y-7)^2=(y+2)^2

(x-2)^2+y^2-14y+49=y^2+4y+4

(x-2)^2-14y+49=4y+4

(x-2)^2+45=18y

1/18(x-2)^2+45/18=y

Answer:

Hey there!

The graph has a y-intercept of (0,5), and increases with a common ratio of 5. (For example, it increases from 3, 15, 75, and the common ratio is 5.  

Hope this helps :)

Answer:

C) Distance =5 units

Step-by-step explanation:

[tex]x_1=1\\y_1=1\\x_2 =5\\y_2 = 4\\\\d = \sqrt{(x_2-x_1)^{2}+(y_2-y_1)^2 } \\\\d = \sqrt{(5-1)^2+(4-1)^2} \\\\d = \sqrt{(4)^2+(3)^2}\\ \\d = \sqrt{16+9}\\ d = \sqrt{25}\\ \\d = 5[/tex]

Using the formula for the distance between two points, it is found that the distance between points A and B is given by:

C) 5 units.

Suppose that we have two points, [tex](x_1,y_1)[/tex] and [tex](x_2,y_2)[/tex]. The distance between them is given by:

[tex]D = \sqrt{(x_2-x_1)^2+(y_2-y_1)^2}[/tex]

In this problem, the points are A(1,1) and B(5,4), hence:

[tex]D = \sqrt{(5-1)^2+(4-1)^2} = \sqrt{25} = 5[/tex]

Hence option C is correct.

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Answer:

The answer to this is a, b, d, e

Step-by-step explanation:

Answer:

A, B, D, E

Step-by-step explanation:

Answer:

(f•g)(2)=3 and (g•f)(6)=7

Step-by-step explanation:

look at the tables

where x is equal to both 2 and 7 is where you will find your answer

Hope this helps you!

Answer: 24

Step-by-step explanation:

R= 3

You can find this using simple algebra

The measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

Congruent triangles are those that are exactly the same size and shape. Congruent is represented by the symbol ≅ When the three sides and three angles of one triangle match the dimensions of the three sides and three angles of another triangle, they are said to be congruent.

We have a triangle shown in the picture.

It is required to find the measure of the RA

To find the measure of the RA we can apply the concept of congruent triangle:

In the triangle LRU and triangle LAU

LU = LU (common side)

LR = LA (equal sides)

Angle RLU = Angle ALU (equal)

The triangles are congruent.

RU = UA

18 - 2r = 4r

6r  = 18

r = 18/6 = 3

The measure of the RA = 18 - 2r + 4r = 18 + 2r

The measure of the RA = 18 + 2(3) = 18+6 = 24 units

Thus, the measure of RA is 24 units after using the concept of congruent triangle option (A) 24 is correct.

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Answer:

F = 1/T

Step-by-step explanation:

In order to solve for F, you would need to isolate F.

(F)T = 1/F (F) --> multiply F on both sides to cancel out the F on the right side

FT/(T) = 1/(T) --> divide T on both sides to cancel out the T on the left, so the F is isolated

F = 1/T

Hope this helps!

Answer:

F = 1/T

Step-by-step explanation:

T= 1/F

USING CROSS MULTIPLICATION TECHNIQE

T(F) = 1

DIVIDE BOTH SIDES BY T

F = 1/(T)

Answer:

85.6 degrees.

Step-by-step explanation:

The given equations of lines are

[tex]3x-5y=-15[/tex]

[tex]4x+2y=7[/tex]

We need to find the measure of the acute angle formed by these lines.

[tex]Slope=\dfrac{-\text{Coefficient of }x}{\text{Coefficient of }y}[/tex]

Slope of given lines are

[tex]m_1=\dfrac{-3}{-5}=\dfrac{3}{5}[/tex]

[tex]m_2=\dfrac{-4}{2}=-2[/tex]

Angle between two lines is

[tex]\tan \theta = \left|\dfrac{m_1-m_2}{1+m_1m_2}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3}{5}-(-2)}{1+\dfrac{3}{5}(-2)}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{\dfrac{3+10}{5}}{\dfrac{5-6}{5}}\right|[/tex]

[tex]\tan \theta = \left|\dfrac{13}{1}\right|[/tex]

[tex]\tan \theta = 13[/tex]

[tex]\theta = \tan^{-1}(13)[/tex]

[tex]\theta \approx 85.6^{\circ}<90^{\circ}[/tex]

Therefore, the acute angle between given lines is 85.6 degrees.

Answer:

The domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Step-by-step explanation:

We are given that Carly is traveling to visit family.

She drive distance on first day = x

She drive distance on second day = y

We are also given that Carly is travelling a total of 800 miles.

So,x+y=800

We are supposed to find domain and range of this relationship.

y=800-x

Domain : (-∞,∞)

Range:(-∞,∞)

Hence the domain and range of this relationship is (-∞,∞) and (-∞,∞) respectively.

Answer:

domain: 0 ≤ x ≤ 800

range: 0 ≤ y ≤ 800

Step-by-step explanation:

Answer:

3m(1-2m)(1+2m+4m^2)

Step-by-step explanation:

Answer:

3m(1-2m)(4m²+2m+1)

Step-by-step explanation:

3m - 24m⁴   (factorize 3m)

=3m(1) - 3m(8m³)

= 3m (1-8m³)

=3m (1³ - 2³·m³)

=3m [ 1³ - (2m)³ ]

recall the cubic formula:

a³ + b³ = (a+b)(a² - ab + b²)

if we apply this to [ 1³ - (2m)³ ], we will eventually get

= 3m(1-2m)(4m²+2m+1)

edit: last step got cut off. fixed

edit 2: by request, i added more detail to the last 2 steps

Answer:

Graph these two points: (0, 360), (30, 0)

Step-by-step explanation:

Since Amir drove for 30 minutes at a rate of 12 meters, that means that he started at an elevation of 360 feet. The easiest way to graph this, is to place one dot at (0, 360), and at (30, 0).

The straight line joining the points (0, 360) and (30, 0) will be the graph.

The general equation of a straight line is -

y = mx + c

where -

[m] → is slope of line which tells the unit rate of change of [y] with respect to [x].

[c] → is the y - intercept i.e. the point where the graph cuts the [y] axis.

Other possible equations of lines are -

(y - y₁) = m(x - x₁)                              {Point - slope form}

(y - y₁) = (y₂ - y₁) × (x - x₁)/(x₂ - x₁)     {Two point - slope form}

x/a + y/b = 1                                       {intercept form}

x cos(β) + y sin(β) = L                         {Normal form}

For any function y = f(x), Domain is the set of all possible values of [y] that exists for different values of [x]. Range is the set of all values of [x] for which [y] exists.

We have Amir who drove from Jerusalem down to the lowest place on Earth, the Dead Sea, descending at a rate of 12 meters per minute. He was at sea level after 30 minutes of driving.

We can write the equation of graph as -

y = - 12t + 360

At t = 0 -

y = 0 + 360

y = 360

and

at t = 30 minutes -

y = - 12 x 30 + 360

y = - 360 + 360

y = 0

The straight line joining the points (0, 360) and (30, 0) will be the graph.

Therefore, the straight line joining the points (0, 360) and (30, 0) will be the graph.

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Answer:230

Step-by-step explanation:

5 x 23= 115

115 x 2= 230

Answer:-9c3w5-36c6w8-36c9w15

Answer:

-27c⁹w¹⁵ the last choice

Step-by-step explanation:

Simplifying:

Answer:

78 inches or 174 inches (see explanation)

Step-by-step explanation:

If the perimeter is 64 feet, that means that each side is 8 feet, since there are 8 sides (64/8=8). 8 feet is 96 inches (8*12=96). 96-18=78, so the minimum length of wood he needs for the ledges is 78 inches, assuming you're not counting the wood for the perimeter, too (in which case it would be 174 inches) (78+96=174). Hope this helps!

Answer:

Yes it really does mean cup.

Step-by-step explanation:

This can only contian 1 jar

12.5 cups are equal to 100 ounces

if there are 100 oz in that little jar then only 1 large jar can be filled by a lttile jar.

Answer:

3(4)to the 3

Step-by-step explanation:

Answer:

1. 1.3778  2. 0.0089

Step-by-step explanation:

to find the volume of the whole rectangle prism you would have to do the volume formula since it is a 3d shape. VOLUME FORMULA, LxWxH.

so 1x0.83x1.66= 1.3778

you can always convert the fraction into decimal to help you calculate the problem.

i don't know if this is correct but i give it a try, so if the whole volume of the triangle is 1.3378 than you can divide that by the the number of small cubes it has inside.

it is 5 by 10 so there are 150 cubes in total.

1.3378 divided by 150=0.0089

im confident about the 1st but not so much with the second

The volume of the rectangular prism is: 1.39 ft³

The volume of one of the small cubes is: 0.0046 ft³

Volume of rectangular prism = length × width × height

Given the following:

Length = 1 ft

Width = 5/6 ft

Height = 1⅔ ft

Volume of the rectangular prism = 1 × 5/6 × 1⅔ = 1 × 5/6 × 5/3

Volume of the rectangular prism = 25/18 = 1 7/18 ft = 1.39 ft³

Length of the edge of 1 cube = 1/6 ft

Volume of the 1 cube = (1/6)³ = 1/216 = 0.0046 ft³

Learn more about volume of rectangular prism on:

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Answer: The probability would be 1/3.

Step-by-step explanation:

Answer:

1/3

Step-by-step explanation:

Only '1' and '2' are less than '3' on a 6-sided die.

Thus, only 2 out of 6 outcomes are of interest.

The probability of rolling a number less than three on a six-sided die is therefore 1/3.

Answer: (2+v) =3; v =10 pounds of chopped vegetables.

Step-by-step explanation:

the answer is:

a. one-fourth (2 + v) = 3; v = 10 pounds of chopped vegetables

Answer:

A is A=25

B=10

B is 40

C is A=10

B=6.428

hope i helped you

sorry if it is incorrect

Answer:

D) 12

Step-by-step explanation:

the graphs slope is 3 using the rise over run method we have found this

now since we know the fifth x value gives a y value of 9 we can add 3 and have 12

Answer:

Add 14 to each side to undo the -14. Divide both sides by 6 to undo the 6x, and  simplify to get 5.  

Step-by-step explanation:

Answer:

See below.

Step-by-step explanation:

Horizontal lines have the equation:

[tex]y=n[/tex]

Where n is the value the horizontal line stays on.

Vertical lines have the equation:

[tex]x=n[/tex]

Where n is the value the vertical line stays on.

For the two north-south lines, one of them stays on -5 and the other stays on 8. Therefore, the two vertical line equations are:

[tex]x=-5 \text{ and } x=8[/tex]

For the two east-west lines, one of them stays on -7 and the other stays on 4.

Therefore, the two horizontal line equations are:

[tex]y=-7 \text{ and } y=4[/tex]

Answer:

Below in bold.

Step-by-step explanation:

The  zeroes ( = x-intercepts) are x = -3 and x = -1.

So the x -coordinate of the vertex is between x = -3 and x = -1.

The actual x-coordinate is halfway between these value: at x = -2.

Answer:

x = -3 or x = -1

Step-by-step explanation:

f(x) = (x + 3)(x + 1)

⇒ x = -3 or x = -1

[tex]\\ \sf\longmapsto \dfrac{12}{25}\times 100[/tex]

[tex]\\ \sf\longmapsto \dfrac{12\times 100}{25}[/tex]

[tex]\\ \sf\longmapsto \dfrac{1200}{25}[/tex]

[tex]\\ \sf\longmapsto 48\℅[/tex]

Answer:

486 ft²

Step-by-step explanation:

If the cube volume is 729 ft³, then the length of one side is

∛(729 ft³) = 9 ft.

The cube (like all cubes) has 6 identical sides, each 9 ft by 9 ft, or 81 ft².

Label each side with '81 ft²'

Since there are 6 such sides, the total surface area is 6(81 ft²) = 486 ft²

Answer:

x = 0, x = 4

Step-by-step explanation:

12x - 21 = 5x + 7(x - 3)

First, foil out the right side --> 5x² - 15x + 7x - 21, which simplifies down to 5x² - 8x - 21.

Move the 12x - 21 to the right side by subtracting --> 0 = 5x² - 20x.

Factor out a 5x --> 0 = 5x(x - 4)

If you want to solve for x, set 5x = 0 and x - 4 = 0.

For 5x = 0, divide both sides by 5 to isolate the x --> x = 0/5, which simplifies down to x = 0.

For x - 4 = 0, add 4 to both sides to isolate the x --> x = 0 + 4, which simplifies down to x = 4.

Plug the values back into the original equation to check if it works

12(0) -21 = 5(0) + 7((0) - 3) --> -21 = -21

12(4) - 21 = 5(4) + 7((4) -3) --> 27 = 27

Hope this helps!