Identify the transformations of the
function f(x) = x^2 to g(x)=(x-7)^2+4

Answer:

C. 904.32 cubic units

Step-by-step explanation:

the volume = π×r²×h

= 3.14 × 6²×8

= 3.14×288

= 904.32

Answer:

Translate 4 units to the left and reflect over the x-axis

Step-by-step explanation: hope this helps :)

The composition of the transformations given in the figure is translate 4 units to the left and then reflect over the X axis.

Transformation of geometrical figures or points is the manipulation of a given figure to some other way.

Different types of transformations are Rotation, Reflection, Glide reflection, Translation and Dilation.

After translation, the original figure is shifted from a place to another place without affecting it's size.

After Reflection, figure is flipped. In other words, a figure becomes it's mirror image.

Consider the point P.

Before undergoing reflection, the figure must be above the X axis.

And the point P will be translated 4 units to the left.

After reflection, since the figure moved towards the other side of the X axis, the figure is reflected across the X axis.

Hence the missing parts are filled.

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Answer:

c

Step-by-step explanation:

Answer:

b. 20

Step-by-step explanation:

divide 118 by 6 and round to 20

Answer:

20 you will get me when you round it

Step-by-step explanation:

(4x+ 15)° + 11x° = 180° ( linear pair )

4x + 15 +11x = 180

15 x + 15 = 180

15x = 180-15

15x= 165

x= 165/15

x= 11

Answer:

The angle is 60°

Step-by-step explanation:

A supplement angle is the angle whose sum is equal to 180°.

The supplement angle = 180° - x

A complement angle is the angle whose sum is equal to 90°.

The complement angle = 90° - x

Given,

supplement angle = 4 × complement angle

(180° - x) = 4 × (90° - x)

180° - x = 360° - 4x

4x - x = 360° - 180°

3x = 180°

x = 60°

The supplement angle = 180° - x

⇒ 180° - 60°

⇒ 120°

The complement angle = 90° - x

⇒ 90° - 60°

⇒ 30°

Answer:

The angle is 60 degrees.

Step-by-step explanation:

Let the angle be x.

Then its supplement = 180-x.

Its complement = 90-x, so we have the equation:

180 - x = 4(90 - x)

180 - x = 360 - 4x

-x + 4x = 360 - 180

3x = 180

x= 60 degrees.

Answer:

C

Step-by-step explanation:

f(-2) = 4(-2) + 5

f(-2) = -8 + 5

f(-2) = -3

Answer:

-3

Step-by-step explanation:

f(x) = 4x + 5

Let x = -2

f(-2) = 4(-2) + 5

        =-8+5

           -3

Answer:

not touching x-axis

Step-by-step explanation:

the graph is not touching the x-axis, that is all i can say

Answer:

([tex]x^{2}[/tex] + [tex]x[/tex] + [tex]\frac{1}{2\\}[/tex] )

https://www.symbolab.com/solver/step-by-step/%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-2%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(x%5E%7B%5Cleft(-1%5Cright)%7D%5Cright)%2B%5Cleft(1%5Cright)%2F%5Cleft(2%5Cright)

You can  use the  link above :))

Answer:

in all cases x/100 is just a way to represent percentage. and since it's the same everywhere, it's not even relevant to decide wich option describes the context right

A) 80/140 is the portion that describes the book readers over all people surveyed

B) 31/63 just 63 people are relevant bc it's specified that we only consider beach travelers.

that also explains the 31, bc that's the number of beach travelers who'd like to watch a movie

C) 15/80 only 80 movie watchers in total, of whom 15 would prefer the city

Answer:

geometric

common ratio 2/3

Step-by-step explanation:

We know that the sequence is not arithmetic

3-2 =1

2-4/3 = 6/3 -4/3 = 2/3

The common difference is not the same

Now check geometric

The common ratio:

Take the second term over the first term

2/3

Now take the third term over the second term

4/3 ÷ 2

4/3 * 1/2 = 2/3

The common ratio is the same so the sequence is geometric with a common ratio of 2/3

Answer:

y=41

Step-by-step explanation:

Let us start by writing an equation. 4 plus y divided by 5 equals to 9 :

[tex]\frac{4+y}{5}=9[/tex]

Great! Now let us solve for the variable, y, by isolating the terms:

[tex]4+y=45\\y=41[/tex]

I hope this helps! Let me know if you have any questions :)

Answer:

13 points

Step-by-step explanation:

Equation for "There are 50 athletes signed up for a neighborhood basketball competition. Players can select to play in the 6-player games ("3 on 3") or the 2-player games ("1 on 1").

Equation for "If the neighborhood holds 13 total games and all 50 athletes participate"

How many 6 player games?

How many 2 player games?

The answer to this question is:

7 two-player games are played

6  six-player games are played

What are system of equations?

A collection of two or more equations with the same set of unknowns is referred to as a system of equations.

Systems of linear equations in two variables can be solved in one of three ways:

Solution:

Given:

Total games = 13

Total number of athletes participated = 50

Find:

6-player games played = ?

2-player games played = ?

Step-1:

let x denote the total 2-player games played &

    y denote the total 6-player games played.

Hence the equation for the total number of games played is:

                     x + y = 13 ..............eq(1)

Now, the equation for the total number of games played by the athletes is:

                    2x + 6y = 50............eq(2)

Further eq(2) can be reduced as-

                   2(x + 3y) = 50

                    x + 3y = 50/2

                     x + 3y = 25.........eq(2)

Step-2:

Solving eq(1) and eq(2) by using elimination method as follows:

                      x + y = 13

                      x + 3y = 25

Step-3:      

In the elimination method positive signs changes to negative and x gets eliminated so we get the y value as:    

-2y = -12

y = 6

Substituting y value in eq(1): x+ y = 13

                                               x + 6 = 13

                                               x = 13 - 6

                                              x = 7

Hence we found out that total 7 two-player games and 6 six-player games were played.  

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Answer:

x = 4

Step-by-step explanation:

[tex]\frac{14}{2x-1} = \frac{10}{5} \\10(2x-1) = 5*14\\20x - 10 = 70\\20x = 70+10\\20x = 80\\x = 80:20\\x = 4[/tex]

Answer:

x = 5, y = 7

Step-by-step explanation:

x – y = -2 ——— 1

5x – 4y = -3 —– 2

x = -2 + y ——— 3

3 in 2 ≈ 5(-2 + y) – 4y = -3

-10 + 5y – 4y = -3

y = -3 + 10

y = 7

Putting y = 7 in 3, we have;

x = -2 + (7)

x = 5

Hence (x, y) = (5, 7)

Step-by-step explanation:

So for this question just substitute the value and work out. I thought it it to the power of 2 as I can't tell from the question.

Answer:

198 students walk to the local high school

Step-by-step explanation:

Total number students = 825

1/5 of the students travel by car

48% of the students travel by bus

0.08 of the students travel by bicycle

To find the number of students who wal to school we have to find the exact number of students who travel to school by car, bus and bicycle and subtract the result from the total number of students

Students who travel by car = 1/5×825

= 165 students

Students who travel by bus = 48% × 825

= 48/100 × 825

= 12/25 × 825

= 396 students

Students who travel by bicycle = 0.08 × 825

= 66

So now we add the results fo the equations above and subtract it from the total number of students to get the number of students that walk to school

Students that walk to school = 825 - (165 + 396 + 66)

= 825 - 627

= 198 students

Therefore 198 students walk to the local high-school

Answer:

87.965 in.

Step-by-step explanation:

1) the formula of full arc is L=2π*r, the formula of the required 7π/4 is:

L=7π/4 *r;

2) according to the formula above:

L=7π*16/4=28π≈87,964594300514210676954014731826 (in).

Median is the middle value.

Writing the values from smallest to largest you have :

1/8, 1/8, 2/8, 2/8, 2/8, 3,8, 3/8, 4/8, 5/8

There are 9 values. The middle value ( median) would be the 5th number ( this would give you 4 numbers below it and 4 numbers above it.

The Median is 2/8

Answer:

2/8 is the median. In decimal, it is 0.25.

Happy learning!

--Applepi101

Answer:

she is correct

Step-by-step explanation:

because according to the Pythagorean theorem the interior of a triangle has to be 180 degrees total.

and a straight line has an angle of 180

so the inside of the C angle is 50

60+50+70=180

[tex]\longrightarrow{\green{C.\:30 \sqrt{11} }}[/tex] ✔

[tex]\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\orange{:}}}}}[/tex]

[tex]3 \sqrt{50} \times \sqrt{22} \\ \\ = 3 \sqrt{50 \times 22} \\ \\ = 3 \sqrt{1100} \\ \\ = 3 \sqrt{2 \times 2 \times 5 \times 5 \times 11} \\ \\ = 3 \sqrt{ {2}^{2} \times {5}^{2} \times 11} \\ \\ = 3 \times 2 \times 5 \sqrt{11} \\\\ = 30 \sqrt{11} [/tex]

[tex]\bold{ \green{ \star{ \orange{Mystique35}}}}⋆[/tex]

Answer: i have no idea how do i get rid of this answer

Step-by-step explanation:

Answer:

x/7 - 2 = y

Step-by-step explanation:

To find the inverse of a function, we switch f(x) and x and then solve for f(x). We thus have

x = 7f(x) + 14

subtract 14 from both sides to isolate the f(x) and its coefficient

x - 14 = 7 f(x)

divide both sides by 7 to isolate the f(x)

(x-14)/7 = f(x)

f(x) is synonymous with y here. so we havt

(x-14)/7 = y

This can also be written as

x/7 - 14/7 = y

x/7 - 2 = y

Answer:

x = 0

Step-by-step explanation:

3(x + 6) = 18

distribute

3x + 18 = 18

Subtract 18 from both sides

3x = 0

Divide both sides by 3

x = 0

Answer:

[tex]5x^2-9x-1[/tex]

Step-by-step explanation:

f - g

[tex]=5x^2-4x -(5x+1)\\\\=5x^2-4x-5x-1\\\\=5x^2-9x-1[/tex]