Using the horizontal line test, which of the following can be concluded about
the inverse of the graph of the function below?

Answer:

See below.

Step-by-step explanation:

You take the absolute value of the negative number  and add.

For example the difference between - 2 and + 3 is |-2|

= 3 + 2 = 5.

+4 and - 6: we have   4 + |-6| = 10.

Answer:

C; The left end goes up; the right end goes down

Step-by-step explanation:

If you expand the function, you end up with a polynomial with a negative coefficient and it has an odd power. According to polynomial behaviors of a function that is odd negative, the graph will rise to the left (y → ∞ and x → -∞) and falls to the right (y → -∞ and x → ∞).

ANSWER

C. The left end goes up; the right end goes down.

EXPLANATION

The given function is

[tex]f(x) = - 2( {x - 2)}^{5} [/tex]

We analyze the end behavior of this function using the leading term.

The leading term of this function is:

[tex] - 2 {x}^{5} [/tex]

Since the degree(5) is odd and the leading coefficient (-2) is negative, the graph rises on the left and falls on the right.

In other words, the left end of the graph goes up and the right end goes down.

The correct option is C.

Answer:

4pi or 12.57 cm

Step-by-step explanation:

Step 1 : Write the formula of arc length

Arc length = x°/360° x Circumference

Circumference = 2pir

Arc length = x°/360° x 2pir

Step 2 : Substitute the given values in the formula

x = 48°

r = 15 cm

Arc length = 48°/360° x 2pi(15)

Arc length = 4pi or 12.57 cm

!!

Answer:

14

Step-by-step explanation:

8 + 3e

Let e =2

8 + 3(2)

8 + 6

14

The probability of an event and its complement add up to 1. If the probability of an event is 0.3, the probability of its complement is 0.7.

The probability of an event and its complement always add up to 1. So, if the probability of an event is 0.3, the probability of its complement can be calculated by subtracting the probability of the event from 1. In this case, the probability of the complement would be 1 - 0.3 = 0.7. Therefore, the probability of the complement is 0.7.

https://brainly.com/question/22962752

#SPJ2

Answer:

9

Step-by-step explanation:

8.5*9(h)=76.5

76.5+15=91.5

Answer:

20

Step-by-step explanation:

To find the median of this data first add the numbers together then decide by the amount of numbers. So for this problem add 13+14+17+18+21+23+26+28=160 then 160÷8=20

Answer: 19.5

Step-by-step explanation:

A p e x

Answer:

The function reveals that the maximum earning from ticket sales will be $6480 after 2 ($0.50) price increases

Step-by-step explanation:

* Lets explain how to solve the problem

- The function f(x) = -20x² + 80x + 6400 represents the total

 earnings from ticket sales and x represents the number of $0.50

 price increases

∵ f(x) is a quadratic function

∵ The coefficient of x² is -20

∴ The function has a maximum value

- The vertex of the quadratic function f(x) = ax² + bx + c is (h , k),

 where h = -b/2a and k = f(h)

* Lets find the maximum point of f(x)

∵ a = -20 , b = 80

∵ h = -b/2a

∴ h = -(80)/2(-20) = -80/-40 = 2

∵ k = f(h) and h = 2

∴ f(2) = -20(2)² + 80 (2) + 6400

∴ f(2) = -80 + 160 + 6400

∴ f(2) = 6480

∴ k = 6480

* The function reveals that the maximum earning from ticket sales

  will be $6480 after 2 ($0.50) price increases

Answer:

maximum, 6480, two

Answer:

answer: 5x + 10

Step-by-step explanation:

The distributive property (of which this is an example) demands that the 5 must multiply the x (which was done correctly) to give 5x

But the problem becomes undone when you forget about the 2. You must multiply the 2 by 5 as well to give 10.

The plus sign cannot be destroyed. The terms are not alike. So the answer is 5x + 10

Answer:

The mass of 150 books = 41.7kg

The number of books that have mass 20kg = 72 books

Step-by-step explanation:

(I) Number of identical books = 108

Mass of  books = 30 kg

Mass of 150 books = ?

Let the mass of 150 books = x kg

To find the mass of 150 books we will use ratio and proportion:

108 books: 30kg = 150 books: x kg

You can also write it like this because ratio can be written in division:

108/30 = 150/x

By cross multiplication:

108x = 150*30

108 x= 4500

Divide both sides by 108

108 x/108 = 4500/108

x= 41.7

Thus the mass of 150 books = 41.7kg

( ii ) The number of books that have a mass of 20 kg = ?

Let assume that the number of books of mass 20 kg = y books

We will again use ratio and proportion method.

108 books: 30kg = y: 20kg

We can write it as:

108/30 = y/20

By cross multiplication:

108 *20 = 30y

2160= 30y

Divide both the terms by 30

2160/30 = 30y/30

72 = y

Therefore the number of books that have mass 20kg = 72 books ....

Answer:

{x = -3 , y=2  (Isolved for both variables be elimination)

Step-by-step explanation:

Solve the following system:

{3 x + 5 y = 1 | (equation 1)

7 x + 4 y = -13 | (equation 2)

Swap equation 1 with equation 2:

{7 x + 4 y = -13 | (equation 1)

3 x + 5 y = 1 | (equation 2)

Subtract 3/7 × (equation 1) from equation 2:

{7 x + 4 y = -13 | (equation 1)

0 x+(23 y)/7 = 46/7 | (equation 2)

Multiply equation 2 by 7/23:

{7 x + 4 y = -13 | (equation 1)

0 x+y = 2 | (equation 2)

Subtract 4 × (equation 2) from equation 1:

{7 x+0 y = -21 | (equation 1)

0 x+y = 2 | (equation 2)

Divide equation 1 by 7:

{x+0 y = -3 | (equation 1)

0 x+y = 2 | (equation 2)

Collect results:

Answer:  {x = -3 , y=2

Answer:

Step-by-step explanation:

[tex]\left\{\begin{array}{ccc}3x+5y=1&\text{multiply both sides by 7}\\7x+4y=-13&\text{multiply both sides by (-3)}\end{array}\right\\\underline{+\left\{\begin{array}{ccc}21x+35y=7\\-21x-12y=39\end{array}\right}\qquad\text{add both sides of the equations}\\.\qquad\qquad23y=46\qquad\text{divide both sides by 23}\\.\qquad\qquad y=2[/tex]

If you want to solve it to the end, put the value of y in the first equation and solve it for x.

3x + 5(2) = 1

3x + 10 = 1         subtract 10 from both sides

3x = -9           divide both sides by 3

x = -3

Answer:

60 degrees, 55 degrees, and 50 degrees respectively

Step-by-step explanation:

Equation: m<1+m<2+m<3=180

1. 40+80+x=180 Subtract 120(because 40+80=120)

  x=60

2. 50+75+x=180 subtract 125 (50+75=125)

    x=55

3. 50+80+x=180 subtract 130 (50+80=130)

   x=50

Answer:

50

Step-by-step explanation:

sorry if wrong pls mark brainliest

Answer:

6.96 in².

Step-by-step explanation:

The formula for the surface area of a sphere is

A= 4πr²

Data:

d = 1.4882 in

Calculations:

r = d/2 = 1.4882/2 = 0.7441 in

V = 4 × π × 0.7441² = 6.96 in²

The surface area of the ping pong ball is 6.96 in².

Answer:

14

Step-by-step explanation:

Plug the 5 into the equation

2(5) + 4 = 14

Answer:

f(5)= 2(5) + 4 = 10 + 4 = 14

Answer:

I believe it would be C I don't have much experience with these problems but I'm good at them for what I did

Answer:

ASA Postulate.

Step-by-step explanation:

Two angles and  a corresponding side make the triangles congruent.

Answer:

For number 9)

Interval notation [tex](-\infty,3][/tex]

For number 10)

Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].

Step-by-step explanation:

On square roots you have to make sure the inside is positive or zero.

So the domain of the first one will come from solving

[tex]6-2x \ge 0[/tex]

Subtract 6 on both sides:

[tex]-2x \ge -6[/tex]

Divide both sides by -2 (flip inequality when divide both sides by negative):

[tex]x \le 3[/tex]

The domain is less than or equal to 3.

Interval notation [tex](-\infty,3][/tex]

On fractions you have to watch out for dividing by 0.

The domain is all real numbers except when 4x+2=0.

4x+2=0

Subtract 2 on both sides:

4x=-2

Divide both sides by 4:

x=-2/4

Reduce:

x=-1/2

The domain is all real numbers except when x=-1/2

Interval notation: [tex](-\infty,\frac{-1}{2}) \cup (\frac{-1}{2},\infty)[/tex].

Answer:

9. [tex] (-\infty, 3] [/tex]

15. [tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]

Step-by-step explanation:

9.

The function has a square root. Since you cannot take the square root of a negative number, the expression in the root must be non-negative.

[tex] 6 - 2x \ge 0 [/tex]

[tex] -2x \ge -6 [/tex]

[tex] x \le 3 [/tex]

[tex] (-\infty, 3] [/tex]

15.

There is a denominator int he function. The denominator cannot equal zero. Set the denominator equal to zero to find out the value that must be excluded from x.

[tex] 4x + 2 = 0 [/tex]

[tex] 4x = -2 [/tex]

[tex] x = -\dfrac{1}{2} [/tex]

[tex] (-\infty, -\dfrac{1}{2}) \cup (-\dfrac{1}{2}, \infty) [/tex]

Answer:212.5

Step-by-step explanation:85/100×250

=212.5

85 percent of 250 results in 212.5.

To find 85 percent of 250, follow these steps:

Change the percentage to a decimal by dividing by 100: 85% = 85 / 100 = 0.85

Multiply the decimal by the number: 0.85 x 250

Calculate the product: 0.85 x 250 = 212.5

Therefore, 85 percent of 250 is 212.5.

For example, if 250 students are surveyed, then 212.5 students would represent 85 percent of the surveyed group.

Answer:155

Step-by-step explanation:

The measure of angle BCD is 140°.

Quadrilaterals are geometric figures with 4 sides and 4 angles. And, for these figures, the sum of interior angles is 360°. There are different types of quadrilaterals, for example, square, rectangle, rhombus, trapezoid and parallelogram.  Each type is defined accordingly to its length of sides and angles.

Supplementary angles are two angles whose sum is equal to 180°.

For solving this question, you should find the supplementary angle for A, B and D angles.

       A=180-25=155°

       B+146=180

       B=180-146=34°

       D+149=180

       B=180-149=31°

After that, find the angle C from a property of quadrilaterals - sum of interior angles is 360°. Thus,

                                        A+B+C+D=360

                                      155+34+C+31=360

                                       C=360-31-34-155

                                                  C=140°.

Read more about the quadrilaterals here:

https://brainly.com/question/10975107

Answer:

135°

Step-by-step explanation:

To convert from radian measure to degree measure

degree measure = radian measure × [tex]\frac{180}{\pi }[/tex], so

degree = [tex]\frac{3\pi }{4}[/tex] × [tex]\frac{180}{\pi }[/tex]

Cancel π on numerator/denominator and 4, 180 by 4, leaving

degree = 3 × 45 = 135°

Answer:

1 radian = 180 / PI degrees

3 PI / 4 radians * 180 / PI the "PI's" cancel and we get

3 / 4 * 180 = 135 degrees

Step-by-step explanation:

The correct option is b). The statement is False, it incorrectly describes the method for converting minutes to seconds.

To convert minutes to seconds, you multiply by 60 because there are 60 seconds in one minute.

So, to convert 5.25 minutes to seconds:

[tex]\[ 5.25 \text{ minutes} \times 60 \text{ seconds/minute} = 315 \text{ seconds} \][/tex]

Therefore, 5.25 minutes is equal to 315 seconds.

Regarding your original question about the statement:

To convert 5.25 minutes to seconds, you would use the ratio  [tex]\( \frac{1 \text{ second}}{60 \text{ minutes}} \).[/tex]

This statement suggests using a ratio, which is not correct for converting minutes to seconds. Instead, you should use multiplication by 60 seconds per minute.

[tex]\huge{\boxed{\frac{12}{14}}} \huge{\boxed{\frac{18}{21}}} \huge{\boxed{\frac{24}{28}}} \huge{\boxed{\frac{30}{35}}} \huge{\boxed{\frac{36}{42}}}[/tex]

One really simple way to find an equivalent fraction is just to multiply the numerator and denominator.

For example, for the first answer, [tex]\boxed{\frac{12}{14}}[/tex], I simply multiplied the numerator and denominator each by 2.  This gives you an equivalent fraction.

You can then continue with this process using numbers such as 3, 4, 5, and 6 as your multiplication factor.

Step-by-step explanation:

[tex]\dfrac{6}{7}=\dfrac{6\cdot2}{7\cdot2}=\dfrac{12}{14}\\\\\dfrac{6}{7}=\dfrac{6\cdot3}{7\cdot3}=\dfrac{18}{21}\\\\\dfrac{6}{7}=\dfrac{6\cdot4}{7\cdot4}=\dfrac{24}{28}\\\\\dfrac{6}{7}=\dfrac{6\cdot5}{7\cdot5}=\dfrac{30}{35}\\\\\dfrac{6}{7}=\dfrac{6\cdot6}{7\cdot6}=\dfrac{36}{42}\\\\\dfrac{6}{7}=\dfrac{6\cdot7}{7\cdot7}=\dfrac{42}{49}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot10}{7\cdot10}=\dfrac{60}{70}\\\vdots\\\dfrac{6}{7}=\dfrac{6\cdot100}{7\cdots100}=\dfrac{600}{700}\\\vdots[/tex]

Answer:

-3c

Step-by-step explanation:

The given expression is:

[tex]\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}}[/tex]

We need to simplify this expression. The rational expression in the denominator can be multiplied to numerator by taking its reciprocal as shown below:

[tex]\frac{\frac{6c^{2}+3c}{-4c+2}}{\frac{2c+1}{4c-2}} \\\\ =\frac{6c^{2}+3c}{-4c+2} \times \frac{4c-2}{2c+1}\\\\=\frac{3c(2c+1)}{-(4c-2)} \times \frac{4c-2}{2c+1}\\\\ =-3c[/tex]

Thus, the given expression in simplified form is equal to -3c

Answer:

-3c

Step-by-step explanation:

We are given that an expression

[tex]\frac{\frac{6c^2+3c}{-4c+2}}{\frac{2c+1}{4c-2}}[/tex]

We have to find an expression which is equal to given  expression

Taking common 3c from nominator and -2 from denominator in dividened  and 2 common in divisor then we get

[tex]\frac{\frac{3c(2c+1)}{-2(c-2)}}{\frac{2c+1}{2(2c-1)}}[/tex]

[tex]\frac{3c(2c+1)}{-2(2c-1)}\times \frac{2(2c-1)}{(2c+1)}[/tex]

By reciprocal divisor

By canceling same factor

Then ,we get

[tex]\frac{\frac{6c^2+3c}{-4c+2}}{\frac{2c+1}{4c-2}}[/tex]

=-3c

Answer:

11.43

Step-by-step explanation:

10 divided by 7/8

Set the expression:

(10/(7/8))

To solve, flip the denominator fraction, and make the division into multiplication:

((10 x 8)/7)

Multiply across, then divide:

(80)/7

Divide:

80/7 = 11.43 (rounded)

11.43 is your answer.

~

Answer:

(-12, 0) and (5, 0)

Step-by-step explanation:

f(x) = x² + 7x − 60

Here, a = 1, b = 7, c = -60.  Using the AC method, we need to find factors of a×c that add up to b.

12 × -5 = -60

12 + -5 = 7

The factors are 12 and -5.

f(x) = (x + 12) (x − 5)

The zeros are:

x + 12 = 0, x − 5 = 0

x = -12, x = 5

The zeros are (-12, 0) and (5, 0).

[tex]x^2+7x-60 =0\\x^2-5x+12x-60=0\\x(x-5)+12(x-5)=0\\(x+12)(x-5)=0\\x=-12 \vee x=5[/tex]

Answer:

6x + 8 = 32

Step-by-step explanation:

Let the number be= x

So 6 times a certain number is added to 8 which gives the answer 32.

6( x ) + 8 = 32

6x + 8 = 32

Hence this is the equational form.

On further solving we get,

6x = 32 - 8

6x = 24

x = 24 / 6

x = 4....

Answer:

The required equation is 6x+8=32

Step-by-step explanation:

Consider the provided information.

6 times a certain number is added to 8, the result is 32

Let the number is represents by x.

6 times of a number can be written as: 6x

Add 8 to the above expression.

6x+8

The expression is equal to 32.

Thus, the required equation is 6x+8=32

Answer:

I got you.Use pemdas to solve this expression. First, evaluate the exponets, then multiply them together. Finally, divide that by 100.

Answer:

256

Step-by-step explanation:

First evaluate the exponents

100 ÷ 25 × 64

Division and multiplication are of equal precedence

When they appear together in a mixed calculation then evaluate from left to right, that is

100 ÷ 25 × 64

= 4 × 64

= 256

Answer:

y-axis

Step-by-step explanation:

..................

Answer:

A) y-axis.

Explanation:

Answer:

The binomial 2d + 3 represents the length of the swimming pool

Step-by-step explanation:

Let

l ----> the length of the swimming pool

w ---> the with of the swimming pool

d ---> the depth of the swimming pool

we know that

[tex]w=2d[/tex] -----> equation A

[tex]l=w+3[/tex] ----> equation B

substitute equation A in equation B

[tex]l=2d+3[/tex] -----> equation C

The volume of the swimming pool is equal to

[tex]V=lwd[/tex]

Substitute equation A and equation C in the formula of Volume

[tex]V=(2d+3)(2d)d\\ \\ V=4d^{3}+6d^{2}[/tex]

therefore

The binomial 2d + 3 represents the length of the swimming pool (equation C)