Does the data below describe a linear,
quadratic, or exponential function?

Answer:

x = 25.5

Step-by-step explanation:

suppose RS and MQ are parallel the sum of angle MRS and RMN would be 180 degrees

2x + x + x 78 = 180 add like terms then subtract 78 from both sides

4x = 102 divide both sides by 4

x = 25.5

Answer:

5/6

Step-by-step explanation:

first form numerator you will multiply by π it means 3.14 multiply 11

the answer equals 34.54 ..and then you will use √ it means square root....so the answer is 5

the annwer is

5/6

Answer:

Step-by-step explanation:

[tex]\frac{11\pi }{6}[/tex] =  11 × [tex]\frac{\pi }{6}[/tex] = (12 - 1) × [tex]\frac{\pi }{6}[/tex]

The terminal point located in IV quarter ⇒ x-coordinate is positive and y-coordinate is negative.

(x, y) = ( [tex]\frac{\sqrt{3} }{2}[/tex] , - [tex]\frac{1}{2}[/tex] )

Answer:

1)  [tex]T_{(a, \, b)}[/tex] = f(x - a) + b

Coordinate change

(x, y) → (x + a, y + b)

2) RFy(x, y) = f(-x)

Coordinate change

(x, y) → (-x, y)

3) RFx(x, y) = -f(x)

Coordinate change

(x, y) → (-y, x)

4) RCCW90(x, y) = f⁻¹(-x)

Coordinate change

(x, y) → (-y, x)

5) RCCW180(x, y) = -(f(-x))

Coordinate change

(x, y) → (-x, -y)

6) A 270 degrees counterclockwise rotation gives;

RCCW270(x, y) = -(f⁻¹(x))

Coordinate change

(x, y) → (y, -x)

Step-by-step explanation:

1) Horizontal translation a units right = f(x - a)

The vertical translation b units up = f(x) + b

Therefore, we get; [tex]T_{(a, \, b)}[/tex] = f(x - a) + b

The coordinate change

(x, y) → (x + a, y + b)

2) A reflection across the y-axis = RFy(x, y) = f(-x)

The coordinate change

(x, y) → (-x, y)

3) A reflection across the x-axis gives RFx(x, y) → (x, -y)

Therefore, in function notation, we get;

RFx(x, y) = -f(x)

4) A 90 degrees rotation counterclockwise, we get RotCCW90(x, y) → (-y, x)

In function notation RotCCW90(x, y) = INVf(-x) = f⁻¹(-x)

5) A 180 degrees counterclockwise rotation about the origin gives;

(x, y) → (-x, -y)

Therefore, we get;

In function notation RotCCW180(x, y)  = -(f(-x))

6) A 270 degrees counterclockwise rotation gives RotCCW270(x, y) → (y, -x)

In function notation RotCCW270(x, y) = -(f⁻¹(x))

Hello,

[tex]\displaystyle \int {-\dfrac{2}{3} \sqrt{(2-5x)^3}} \, dx \\\\\displaystyle=-\dfrac{2}{3}*\dfrac{-1}{5} \int {-5*(2-5x)^{\frac{3}{2} }} \, dx \\\\\displaystyle=\dfrac{4}{3}*(2-5x)^{\frac{5}{2} }+C[/tex]

Answer:

(0,-6)

Step-by-step explanation:

9x + 3y = -18

Solve for y to get equation in slope intercept form

( y = mx + b )

9x + 3y = -18

Subtract 9x from both sides

9x - 9x + 3y = -18 - 9x

3y = -9x - 18

Divide both sides by 3

3y/3 = y

-9x - 18 / 3 = -3x - 6

We're left with y = -3x - 6

The equation is now in y intercept form

y = mx + b where b = y intercept

-6 takes the spot of b therefore the y intercept would be at (0,-6)

Answer:

$68.25

Step-by-step explanation:

To get the sales tax, you must notice that the sales tax is 7% of 975.

That is equal to:

975 × 0.07

0.07 is equal to 7%, or [tex]\frac{7}{100}[/tex].

The answer to the equation is 68.25.

Answer:

12.5% increase

Step-by-step explanation:

To find the percentage increase ( students joined)

Take the new number minus the original amount

There are 27 students in the class after 3 joined

27 - 24 = 3

Divide by the original amount

3/24 = 1/8 = .125 = 12.5%

Answer:

12.5%

Step-by-step explanation:

Intial number = 27

Final number = 24 + 3 = 27

Percentage change :-

Even function:

A function is said to be even if its graph is symmetric with respect to the , that is:

Odd function:

A function is said to be odd if its graph is symmetric with respect to the origin, that is:

So let's analyze each question for each type of functions using examples of polynomial functions. Thus:

FOR EVEN FUNCTIONS:

1. When  becomes  

1.1 Effects on the y-intercept

We need to find out the effects on the y-intercept when shifting the function  into:

We know that the graph  intersects the y-axis when , therefore:

So:

So the y-intercept of  is one unit less than the y-intercept of

1.2. Effects on the regions where the graph is increasing and decreasing

Given that you are shifting the graph downward on the y-axis, there is no any effect on the intervals of the domain. The function  increases and decreases in the same intervals of

1.3 The end behavior when the following changes are made.

The function is shifted one unit downward, so each point of  has the same x-coordinate but the output is one unit less than the output of . Thus, each point will be sketched as:

FOR ODD FUNCTIONS:

2. When  becomes  

2.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is one unit less. So the graph is shifted one unit downward again.

An example is shown in Figure 1. The graph in blue is the function:

and the function in red is:

So you can see that:

2.2. Effects on the regions where the graph is increasing and decreasing

The effects are the same just as in the previous case. So the new function increases and decreases in the same intervals of

In Figure 1 you can see that both functions increase at:

and decrease at:

2.3 The end behavior when the following changes are made.

It happens the same, the output is one unit less than the output of . So, you can write the points just as they were written before.

So you can realize this concept by taking a point with the same x-coordinate of both graphs in Figure 1.

FOR EVEN FUNCTIONS:

3. When  becomes  

3.1 Effects on the y-intercept

We need to find out the effects on the y-intercept when shifting the function  into:

As we know, the graph  intersects the y-axis when , therefore:

And:

So the new y-intercept is the negative of the previous intercept shifted one unit upward.

3.2. Effects on the regions where the graph is increasing and decreasing

In the intervals when the function  increases, the function  decreases. On the other hand, in the intervals when the function  decreases, the function  increases.

3.3 The end behavior when the following changes are made.

Each point of the function  has the same x-coordinate just as the function  and the y-coordinate is the negative of the previous coordinate shifted one unit upward, that is:

FOR ODD FUNCTIONS:

4. When  becomes  

4.1 Effects on the y-intercept

In this case happens the same as in the previous case. The new y-intercept is the negative of the previous intercept shifted one unit upward.

4.2. Effects on the regions where the graph is increasing and decreasing

In this case it happens the same. So in the intervals when the function  increases, the function  decreases. On the other hand, in the intervals when the function  decreases, the function  increases.

4.3 The end behavior when the following changes are made.

Similarly, each point of the function  has the same x-coordinate just as the function  and the y-coordinate is the negative of the previous coordinate shifted one unit upward.

Answer:

Step-by-step explanation:

Total surface area is the area of the net.

The rectangles have area:

The triangles have area:

Total area is:

Correct choice is C

Answer:

C. 152 square units

Step-by-step explanation:

I'll do the rectangles first because they are the easiest.

8(5)=40. There are 2 of those rectangles, so multiply by 2: 80.

6(8)=48. Add that to 80, you get 128.

The two triangles actually make a rectangle, so to save work, just multiply the base by the height: 6(4). You get 24.

Add them all up, and you get 152.

Hope this helps!

Answer:

Step-by-step explanation:

Here's the game plan. In order to find a point on the x-axis that makes AC = BC, we need to find the midpoint of AB and the slope of AB. From there, we can find the equation of the line that is perpendicular to AB so we can then fit a 0 in for y and solve for x. This final coordinate will be the answer you're looking for. First and foremost, the midpoint of AB:

and

Now for the slope of AB:

and

 So if the slope of AB is 1/3, then the slope of a line perpendicular to that line is -3. What we are finding now is the equation of the line perpendicular to AB and going through (0, 3):

and filling in:

y - 3 = -3(x - 0) and

y - 3 = -3x + 0 and

y - 3 = -3x so

y = -3x + 3. Filling in a 0 for y will give us the coordinate we want for the x-intercept (the point where this line goes through the x-axis):

0 = -3x + 3 and

-3 = -3x so

x = 1

The coordinate on the x-axis such that AC = BC is (1, 0)

The answer is C or 3 miles per hour

how is it 3?:

there is a point at 6 and another at 3 all we do is 6 - 3 = 3

[tex]\displaystyle\ 2x^2+7x+5\sqrt{2} =0 \\\\\boxed{D=7^2-4\cdot2\cdot 5\sqrt{2} =49-40\sqrt{2} }[/tex]

Answer:

1 day=10outfits

5days=10outfits×5

=50outfits

Step-by-step explanation:

hope this is helpful

Based on the calculation, you can wear the 10 outfits in 50 different ways throughout the week.

To calculate the number of ways you can wear 10 outfits to school each day in a 5-day week, you need to consider the total number of outfits across all days. Since there are 10 outfits and 5 days, the total number of outfit combinations can be calculated by multiplying the number of outfits per day by the number of days:

10 outfits/day × 5 days = 50 outfit combinations

Therefore, you can wear the 10 outfits in 50 different ways throughout the week.

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149 (give brainliest for all of the words)

Answer:

[tex]{ \tt{f(x) = 2}} \\ when \: y = 2 \\ { \bf{x = - 0.5}}[/tex]

Answer:

the first graph

Answer:

1st option

Step-by-step explanation:

If the rate of change is constant, then it's always a straight line, so the 1st option, and if you see the graph, you'll see the line is going down at a rate of 1/4, so the slope is 1/4. So the answer to your question will be the 1st option.

Answered by GAUTHMATH

Answer:

y=0

Step-by-step explanation:

9514 1404 393

Answer:

  y = 0

Step-by-step explanation:

Factor out 3^y:

  3^(2y-1) +2(3^(y-1)) = 1 . . . . . . given

  (3^y)^2(3^-1) +2(3^y)(3^-1) = 1 . . . . factor out 3^y

  (3^y)^2 +2(3^y) -3 = 0 . . . . . . . . . . subtract 1, multiply by 3

Let x = 3^y. Substituting, we have ...

  x^2 +2x -3 = 0

  (x -1)(x +3) = 0

  x = 1  or  x = -3 . . . . . values of x that satisfy this equation

Then the corresponding values of y are ...

  x = 3^y . . . . . . . . . . . . relation of x and y

  log(x) = y·log(3) . . . . . take logs to solve for y

  y = log(x)/log(3) . . . . . divide by the coefficient of y

For x = 1, this is y = log(1)/log(3) = 0

For x = -3, this is y = log(-3)/log(3) . . . . no real solutions

The only real solution is y = 0.

_____

The attachment shows the solution of f(x) = 0, where ...

  [tex]f(x)=3^{2x-1}+2\times3^{x-1}-1[/tex]

That solution is x=0. This means the (real) solution to the given equation is y=0.

Answers:

Domain = {-1, 2, 1, 8, 9}

Range = {2, 51, 3, 22}

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

Explanation:

The domain is the set of allowed inputs of a function. So it's the set of possible x values. We simply list the x coordinates of each point to form the domain.

The range is the set of possible y values or y outputs. So we simply list the y coordinates of the points. We toss out any duplicates. Since order doesn't matter in a set, we can have the values listed any way we want.

Side notes:

Answer:

The answer is x = -3.

Step-by-step explanation:

To solve for (x), start by realizing that line segment IJ and line segment JK sum up to line segment IK, which equals 5. These line segments can then be turned into an equation, and the equation will look like [tex]7+x+2x+7=5[/tex].

Next, begin to solve the equation by combining like terms, which will look like [tex]3x+14=5[/tex]. Then, subtract 14 from both sides of the equation, which will look like [tex]3x=-9[/tex], and divide both sides by 3 and simplify, which will look like [tex]x=-3[/tex]. The final answer is x = -3.

Answer:

-1 Not in domain

0 In domain

1 In domain

Step-by-step explanation:

The domain for the square root function is all positive numbers including (0). The domain is the set of real numbers which when substituted into the function will produce a real result. While one can substitute a negative number into the square root function and get a result, however, the result will be imaginary. Therefore, the domain for the square root function is all positive numbers. It can simply be expressed with the following inequality:

[tex]x\geq0[/tex]

Therefore, one can state the following about the given numbers. Evaluate if the number is greater than or equal to zero, if it is, then it is a part of the domain;

-1 => less than zero; Not in domain

0 => equal to zero; In domain

1  => greater than zero: In domain

Answer: Answer already been answered credits to that person give that person brainliest

Step-by-step explanation:

Answer: 40

Step-by-step explanation:

If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts we have

A division is a process of splitting a specific amount into equal parts.

Given that 20 lemons are cut by half.

cut half of these halves by half.

We need to find how many lemon parts will you have.

Let us consider a lemon whic is 1

Now let us make it half 1/1/2=2

Now each part is divided to half =2/(1/2)=4

So for one lemon it has 4 parts.

Now let us find for 20 lemons.

Multiply 20 with 4

20×4

80 parts

Hence, If you cut 20 lemons by half and then cut half of these halves by half, then 80  lemon parts will you have

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Answer:

AB= A. (50)^1/2

BC= B. (65)^1/2

AC= D. (145)^1/2

<ABC≈ 105

Answer:

x = 91

Step-by-step explanation:

Opposite angles of an inscribed quadrilateral are supplementary.

x + 89 = 180

x = 91

Answer:

2

Step-by-step explanation:

a prime factor is a factor that is a prime number

a prime number is a number that will have a fraction in the quotient if it's divided by any number other than itself

2 is the only prime factor shared between 8 and 12

Answer:

Step-by-step explanation:

1.

7 > 0.7 > 0.07 > 0.007

2.

5h - 15hg

taking 5h common

5h (1 - 3g)

3.

5(2x- 1) = 35

dividing both sides by 5

2x - 1 = 7

2x = 7 + 1

2x = 8

x = 4

4.

if x is an odd number x + 2 will also be odd.

for example

11 is an odd number

on adding 2 we get 13 which is also an odd number.

Answer:

Doug share the cards with his three other friends.

Step-by-step explanation:

If there were 24 cards and each person was suppose to get 6

24 ÷ 6 = 4

The cards were shared among 4 people including Doug himself.

Have a nice day :)