given f(x) = x -2, if the domain is 5, find the range

Answer: 2(y + 6)(-y + 6)

Step-by-step explanation: Factor 72 - 2y^2

                                             -2y^2 + 72

                                             = 2(y + 6)(-y + 6)

Answer:

[tex]-2\left(y+6\right)\left(y-6\right)[/tex]

Step-by-step explanation:

[tex]72-2y^2[/tex]

[tex]-2y^2+72[/tex]

Factor out GCF.

[tex]2(-y^2+36)[/tex]

Apply difference of two squares formula.

[tex]-2\left(y+6\right)\left(y-6\right)[/tex]

Answer:

A

Step-by-step explanation:

62 +65=127

C+127=180

C=180-127=53°

so x=53°

53-y=11

y=53-11=42

Answer: A

Step-by-step explanation:

Since ΔCDE and ΔGHI are congruent triangles, they are equal to each other. This means x-y=11. We want to find y, but we first need to find x. We can do that by finding x° on ΔGHI.

We know that the sum of the angles is 180° in a triangle. We are given 2 angles from ΔCDE. We can use those to find x°.

62+65+x=180             [combine like terms]

127+x=180                   [subtract 127 on both sides]

x=53

Now that we have x, we can find y by plugging in.

53-y=11                         [subtract both sides by 53]

-y=-42                           [divide both sides by -1]

y=42

Answer:

See below hot to plot.

Step-by-step explanation:

You did part a correctly and now have 3 points of this graph. For part b you need to plot the line by first plotting the points.

Plot the points on the graph and then connect them with a line.

The three points are (-5, -3), (0, 2), and (3, 5).

To plot (-5, -3):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Go 5 units left to the -5. Now go 3 units down. That is point (-5, -3). Put a dot on it.

To plot (0, 2):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Since the x-coordinate is 0, don't go right or left. Now go 2 units up to where you see a 2 on the y-axis. That is point (0, 2). Put a dot on it.

To plot (3, 5):

Start at (0, 0), the origin, where the x-axis and y-axis intersect.

Go 3 units right to the 3 on the x-axis. Now go 5 units up. That is point (3, 5). Put a dot on it.

Now connect the three dots with a line. Put arrow heads at both ends of the line.

Answer:

Hope this helps

The number of buttons in C is 17 buttons

What is an Equation?

Equations are mathematical statements with two algebraic expressions flanking the equals (=) sign on either side.

It demonstrates the equality of the relationship between the expressions printed on the left and right sides.

Coefficients, variables, operators, constants, terms, expressions, and the equal to sign are some of the components of an equation. The "=" sign and terms on both sides must always be present when writing an equation.

Given data ,

Let the three tins be A , B and C respectively

The number of buttons in tin A = x

The number of buttons in tin B = 4 times the number of buttons in tin A

                                                   = 4x

The number of buttons in tin C = 7 fewer buttons than tin A

                                                    = x - 7

The total number of buttons in tin A , tin B and tin C together = 137 buttons

So , the total number of buttons =
number of buttons in tin A + number of buttons in tin B + number of buttons in tin C

So , the equation will be

Total number of buttons = x + 4x + ( x - 7 )

x + 4x + ( x - 7 ) = 137

6x - 7 = 137

Adding 7 on both sides , we get

6x = 144

Divide by 6 on both sides , we get

x = 24 buttons

So , the number of buttons in tin A is 24 buttons

So , number of buttons in tin B = 4 x 24

                                                   = 96 buttons

Therefore , the number of buttons in tin C = 17 buttons

Hence , the number of buttons in tin C is 17 buttons

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Answer:

A. It is a series of points that fall in a straight line but are unconnected.

Step-by-step explanation:

Given variables y and x, and a proportional factor k, the proportional relationship is :

y/x = k or y = k*x

This means that points fall in a straight line.

Discrete data means that the function is also discrete, that is, points are not connected between them like in a continuous function.

Answer:

its a

Step-by-step explanation:

got it right

Step-by-step explanation:

total ratio = 3+4+7 = 14

3/14×180= 38.57°

4/14×180= 51.43°

7/14×180 = 90°

Answer:

total ratio = 3+4+7 = 14

3/14×180= 38.57°

4/14×180= 51.43°

7/14×180 = 90°

Step-by-step explanation:

Answer:   [tex]6\dfrac{3}{8}\text{ inches}[/tex]

Step-by-step explanation:

Given: Original length = [tex]15\dfrac{1}{8}[/tex] inches

[tex]=\dfrac{8\times15+1}{8}=\dfrac{121}{8}[/tex] inches                      ( In improper fraction )

Length of piece cut from original = [tex]8\dfrac{3}{4}[/tex] inches

[tex]=\dfrac{4\times8+3}{4}[/tex][tex]= \dfrac{35}{4}[/tex] inches                 ( In improper fraction )

Length of piece leftover piece =  (Original length ) - (Length of piece cut )

[tex]=\dfrac{121}{8}-\dfrac{35}{4}\\\\=\dfrac{121-2\times35}{8}\\\\=\dfrac{121-70}{8}\\\\=\dfrac{51}{8}\\\\=6\dfrac{3}{8}\text{ inches}[/tex]

Hence, the leftover piece will be [tex]6\dfrac{3}{8}\text{ inches}[/tex]  long.

Answer:

20

Step-by-step explanation:

Answer:

Step-by-step explanation:

The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36. Yes, there are repeated sums.

All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10..., if you notice, there are 18 even sums.

All the sums that are odd by greater than 7: 9,9,9,11,9,11, if you notice, there are 6 of them.

Total: 6 + 18 = 24

Probability(A) = number of favorable outcomes/ total number of outcomes

The probability is 24/36 = 2/3

The probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.

Probability refers to a possibility that deals with the occurrence of random events.

We need to find the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled.

The total sum of the answers or sums that we can get when we roll a pair(2) dice is 36.

All the even sums: 2,4,6,4,6,8,4,6,8,6,8,10...,

there are 18 even sums.

All the sums that are odd by greater than 7: 9,9,9,11,9,11, there are 6 of them.

Total: 6 + 18 = 24

Probability(A) = number of favorable outcomes/ total number of outcomes

Therefore, The probability is 24/36 = 2/3

Hence, the probability of rolling an even sum or a sum greater than 7 when a pair of dice is rolled is 2/3.

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Answer:

3) x = 27; m∠FDG = 62°; m∠GOF = 118°

Step-by-step explanation:

2x + 8 + 4x + 10 = 180

6x + 18 = 180

6x = 162

x = 27

Answer:

x = 27; m∠FDG = 62°; m∠GOF = 118°

Step-by-step explanation:I took the test

Answer:

The number of non-congruent triangles that can be formed from the vertices of a cube are 3 triangles

Step-by-step explanation:

The number of non congruent triangles that can be formed by connecting 3 of thee vertices of the cube is found as follows;

The available different lengths of segments joining two vertices of a cube of side length s = 2 are;

2, 2·√2, and 2·√3

Therefore, since there are only three different side lengths we have the possible triangle dimensions given as follows

Distinct triangle one = 2, 2, 2·√2

Distinct triangle two = 2·√2, 2·√2, 2·√2

Distinct triangle three = 2, 2·√3, 2·√2

Therefore, there are ₃C₃ = 3 ways of forming three non-congruent triangles from the vertices of a cube.

Answer:

Step-by-step explanation:

(3a) - 27 = 3a - 3^3 = 3(a - 3^2)

Next time, please share all of the answer choices.  Thanks.

Answer:

x = 8

Step-by-step explanation:

In a circle if two chord intersects as shown in figure

and length of a chord at point of intersection is a and b

and  length of another  chord at point of intersection is c and b

a*b = c*d

using this relation here, we have

8*(x+7) = 10 * (4 +x)

=> 8x + 56 = 40 + 10x

subtracting 40  and 8x from both sides

=>8x + 56  - 8x -40= 40 + 10x -8x -40

=> 16 = 2x

=> x = 16/2 = 8

Thus, x = 8

Answer: B C D

Step-by-step explanation:

just answered it for AP3X

Reasons used in the proof that the angle-bisector construction can be used to bisect any angle are as follows:

B. All of the radii of a circle are congruent

C .CPCTC

D. SSS triangle congruence postulate

" Angle bisector is defined as the ray which divides the angle into two equal parts."

According to the question,

A. Any Line segment can be extended indefinitely is not required to bisect any angle .

Therefore , it is not a correct option.

B. All of the radii of a circle are congruent : To bisect an angle draw an arc with same radii is used in constructing an angle bisector .

Therefore , Option B is a correct option.

C. CPCTC : Corresponding parts of a congruent triangle are congruent is required to proof angle bisector. As it proofs two triangles are congruent.

Therefore, Option C is the correct option.

D. SSS triangle congruence postulate : It is required an important step to prove that two triangles are congruent which imply proof of angle - bisector construction.

Therefore, Option D is the correct option.

Hence, Option B, Option C , Option D are the correct answer.

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Answer:

There are 90 different ways

Step-by-step explanation:

We can apply factorials to help solve this equation.

Just to review, 4!= 4x3x2x1

To solve this problem, we need to use factorials but only a portion of it.

Since there are only 2 roles, we only have to go down two numbers

For captain, there are 10 players available,

But for co captain, there are 9, because the captain can't also be the co captain

So the result is 10x9

We don't have to go further since there are no more further roles to occupy

10x9=90

There are 90 different ways

Answer:

45 if two co-captains or 90 if captain and co-captain are two DISTINCT roles.

Step-by-step explanation:

METHOD ONE

Label each player (either a through j OR 1 - 10).

List combinations:

METHOD 2

use formula

Answer:

Scalene and right

The given triangle is the right-angle triangle.

A right triangle or right-angled triangle, or more formally an orthogonal triangle, formerly called a rectangle triangle, is a triangle in which one angle is a right angle or two sides are perpendicular.

The given triangle has one angle equal to 90 degrees and the line is perpendicular to the base.

Hence, the given triangle is the right-angle triangle.

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Answer:

smaller number = 5

larger number = 10

Step-by-step explanation:

Let

smaller number = x

larger number = x+5

"the smaller number is half of the larger" means

x+5 = 2x

Solve for x

5 = 2x -x = x

Therefore

smaller number = 5

larger number = 10

Answer:

The larger number is 10 and the smaller is 5 less, or 5.

Step-by-step explanation:

Represent the larger and the smaller numbers by L and S.

Then L = S + 5, and S = L/2

Substituting L/2 for S in the first equation, we get L = (L/2) + 5

Multiplying both sides by 2, we get 2L = L + 10, or L = 10.

The larger number is 10 and the smaller is 5 less, or 5.

Answer:

Answer attached

Answer:

remove insulation ,,,eat low on the food chain

Step-by-step explanation:

u can reduce it by 8 pounds

Answer:

remove insulation

Answer:

Step-by-step explanation:

[tex]5 - 8x = - 1[/tex]

Move constant to R.H.S and change its sign:

[tex] - 8x = - 1 - 5[/tex]

Calculate

[tex] - 8x = - 6[/tex]

The difference sign (-) will be cancelled in both sides

[tex]8x = 6[/tex]

Divide both sides of the equation by 8

[tex] \frac{8x}{8} = \frac{6}{8} [/tex]

Calculate

[tex]x = \frac{3}{4} [/tex]

Hope this helps...

Good luck on your assignment...

Answer:

Hey there!

5-8x=-1

-8x=-6

x=3/4

Hope this helps!

Problem 9, part a)

Compass bearings always have north as the starting point. This is where 0 degrees is situated, and 360 degrees as well. As the bearing angle increases, you'll turn to the right toward the eastward direction. Effectively you're sweeping out a clockwise rotation. The bearing 322 degrees is in a northwest position as the diagram shows (place the ship at the bottom right corner of the triangle). The bottom right acute angle of the triangle is 322 - 270 = 52 degrees. This is the reference angle we'll use for finding the distance d.

With respect to the reference angle of 52 degrees, the side 18.5 is the opposite side and d is the adjacent side. Use the tangent ratio to get...

tan(angle) = opposite/adjacent

tan(52) = 18.5/d

d*tan(52) = 18.5

d = 18.5/tan(52)

d = 14.4537840903742

The approximate value of d is 14.4537840903742 km

This rounds to 14.5 when rounding to one decimal place.

=======================================================

Problem 9, part b)

Recall that

distance = rate*time

where "rate" is another term for "speed" or "velocity"

We can solve this for the time to get

time = distance/rate

------

We found the distance back in part a) above. We are given the rate of 48 km/h

So,

time = distance/rate

time = 14.4537840903742/48

time = 0.3011205018828

This is the time it takes in hours. Multiply by 60 to convert to minutes

0.3011205018828 hours = 60*0.3011205018828 = 18.067230112968 minutes

This rounds to the whole number 18

Answer:

-(4x + 7)/2 - (3x - 2)/2 = (-4x - 7 - 3x + 2)/2 = (-7x - 5)/2

Answer:

875

Step-by-step explanation:

35 x 25 =

30x25 + 5x25

750 + 125

875

The Answer is 875

✍️(◔◡◔) hope this helps <3

Answer:

Gretas car gets better gas mileage

Step-by-step explanation:

18 km= 18,000 miles

18,000>28

So, Gretas car gets better gas mileage

Hope this help!

Answer:

I got x<3

Step-by-step explanation:

Answer:

x < 3

Step-by-step explanation:

Add 5 to both sides.  Then:  3x < 9 and x < 3.

The solution is the area to the left of x = 3 (but not touching x = 3).

Answer:

A

Step-by-step explanation:

angle A is 90 and c and b have to be equal

Answer:

Step-by-step explanation:

45.10

Hey there! :)

Answer:

x = 5, x = -i√7, x = i√7

Step-by-step explanation:

We can factor the equation x³ - 5x² + 7x - 35 = 0 by grouping:

x²(x - 5) + 7(x -5) = 0

We get:

(x² + 7)(x - 5) = 0

or

(x + i√7)(x - i√7)(x - 5) = 0

Use the Zero Product Property to solve for the solutions:

x - 5 = 0

x = 5.

-----------

x² + 7 = 0

x² = -7 (We will have imaginary solutions in this instance)

x = ±i√7

Therefore, the zeros of this equation are:

x = 5, x = -i√7, x = i√7

Answer:

Hey there!

m/-2-7=-9

m/-2=-2

m=4

Find the number line with a dot on the 4!

Hope this helps :)

Answer:

See below

Step-by-step explanation:

[tex]\sqrt{6}[/tex] = 2.449

So, While plotting to the number line it will be like:

Answer:

Step-by-step explanation:

Hello!

You have to plot √6 on the number line.

The √6 is equal to 2.4494

In the given number line is depicted the scale between 2.4 and 2.5, the lines between corresponds to the second decimal digit between these two numbers, so the given scale is:

   |    *    |        |           |  *      |    *   |          |        |    *    |          |          |

2.40   2.41   2.42   2.43   2.44   2.45   2.46   2.47   2.48   2.49   2.50

The dot corresponding to √6  is the third counting from left to right.

(See attachment)

I hope this helps!

Answer:

3200000

Step-by-step explanation:

multiply the volume value by 1000