Evaluating a Step Function Using the Function Rule!



HELP!

Answer:

f-1(x) = (-1/5)x - 42/5

Step-by-step explanation:

f(x) = -5x - 42

Switch the x and y

x = -5y - 42

solve for y

-5y = x + 42

y = (-1/5)x - 42/5

Four hundred seventy and forty seven hundredth

Final answer:

The number 470.47 in expanded form is expressed as the sum of each digit's value according to its place value, which is 400 + 70 + 0 + 0.4 + 0.07.

Explanation:

You've asked to write the number 470.47 in expanded form. Writing a number in expanded form is a way of expressing the number as the sum of the values of each digit according to its place value. Here is how you convert 470.47 into expanded form:

400 (4 in the hundreds place is worth 400)

70 (7 in the tens place is worth 70)

0 (0 in the ones place doesn't add any value)

0.4 (The digit 4, after the decimal, represents 4 tenths or 0.4)

0.07 (The digit 7, in the hundredths place, represents 7 hundredths or 0.07)

Therefore, 470.47 in expanded form is: 400 + 70 + 0 + 0.4 + 0.07.

Answer:

1/3, 5/6, 4/3, 11/6, 7/3.

Step-by-step explanation:

This is an arithmetic sequence where you add 1/2 to each term to get the next one.

a1 = 1/3 so a2  = 1/3 + 1/2 = 5/6, and a3 = 5/6 + 1/2 = 4/3.

The first 5 terms are:

1/3, 5/6, 4/3, 11/6, 7/3.

Answer:

152 kids and 30 adults

Step-by-step explanation:

To solve this, we must create a system of equations

Suppose:

x = the number of adults

y = the number of children

We know that a total of 182 people attended the trip.

So:

x + y = 182

This equation represents the number of people attending the trip.

To find out the cost, look at the problem.

It costs 13$ for one adult and 8$ for a child.

So:

13x + 8y = 1606

This equation represents the total cost to attend the museum. Now, we must solve.

[There are two ways to solve a system of equations, substitution and adding/subtracting. I will use adding and subtracting. The steps to solving the system of equations is in the photos below]

The final answer is 152 kids and 30 adults

I hope this helps!!! :)

It is B that is correct because:

4(2a + 5) = 8a + 20

Answer:

The answer is B. Hope it Helps

Step-by-step explanation:

Answer: If there is school, then it is not a holiday.

Step-by-step explanation:

Very easy just do

Contrapositive= negation and reverse

Answer:

Total output= H5, H6,T5, T6

Step-by-step explanation:

Bailey will roll a number cube and flip a coin for a probability experiment.

The faces of the cube are labeled 1-6= 6 possible outcomes

The coin can land on heads or tails= 2 possible outcomes

If Bailey rolls the number cube once= 1 output

and flips the coin once = 1 output

Total output will be combined outcome of cube and coin:

       possible outcome of cube= 1, 2, 3 , 4 , 5, 6

       possible outcome of coin= H, T

                                    (H for heads and T for tails)

Total output =possible combined outcome of cube and coin= H1, H2, H3 , H4 , H5, H6, T1, T2, T3 , T4 , T5, T6

Now

the outcomes in which the number cube lands on a number greater than :

reduces the total required output by removing the combination when the number cube lands on a number less than or equals to 4

therefore removing H1, H2, H3 , H4 and T1, T2, T3 , T4 from the total outcome will result in following list:

Total output= H5, H6,T5, T6 i.e.

5, Heads

5, Tails

6, Heads

6, Tails !

Answer:

[tex]cos=1[/tex]

Step-by-step explanation:

Use the acronym SOH-CAH-TOA

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

So opposite is 3 and hypotenuse is 4.

tan = [tex]\frac{-3}{4}[/tex]

So opposite is -3 and adjacent is 4.

cos = adjacent/hypotenuse

cos = [tex]\frac{4}{4}=1[/tex]

Answer:

d

Step-by-step explanation:

I'm thinking the last one

While 'yeet' is not an academically defined term, it typically refers to the act of throwing something with force. Drawing from a story on LibreTexts, one can learn the technique for effectively throwing objects such as a horseshoe, which involves grip, stance, focus on the target, and a smooth release.

To throw a horseshoe effectively, similar to learning how to "yeet," one must:

Hold the horseshoe in a comfortable but firm grip with your thumb along one of the sides of the horseshoe.

Stand at the designated throwing line and focus on the stake you're aiming at.

Swing your arm forward smoothly and release the horseshoe when your hand is about waist-high, keeping your eyes on the target for accuracy.

Answer:

d.

Step-by-step explanation:

12+5+9+3+13+8=50=total

divide the total by the amount of 45-54s that liked the movie

9/50=0.18

Step-by-step explanation:

[tex](a)\\h-\text{number of hours}\\\\8\dfrac{1}{5}\cdot h=32\dfrac{4}{5}\\(b)\\\text{convert the mixed numbers to the improper fractions}\\\\\dfrac{8\cdot5+1}{5}h=\dfrac{32\cdot5+4}{5}\\\\\dfrac{41}{5}h=\dfrac{164}{5}\qquad\text{multiply both sides by 5}\\\\41h=164\qquad\text{divide both sides by 41}\\\\h=4[/tex]

[tex]\text{Answer:\ 4\ hours}[/tex]

The exterior angles to any convex polygon sum to 360 degrees in measure, so that for a regular dodecagon (12-gon) each exterior angle has measure

[tex]\dfrac{360^\circ}{12}=30^\circ[/tex]

Exterior angles are complementary to interior angles, which means each interior angle has measure

[tex]180^\circ-30^\circ=\boxed{150^\circ}[/tex]

Answer:

The output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion

Step-by-step explanation:

The output is decreased by 8.4% from 2006 to 2016.

Amount of output in 2006 = 1.8 billion dollars

Decrease in output = 8.4%

We need to find the 8.4% of 1.8 billion dollars and then subtract the result from 1 billion dollars.

We know 1.8 billion = 1,800,000,000 or 1.8 x 10^9

8.4% of 1.8 billion = 8.4/100 * (1.8 x 10^9)

                             = 151200000

So, Output expected in 2016 = 1.8 x 10^9 - 151200000

                                                 = 1648800000 or 1.6488 x 10 ^9

So, the output expected in 2016 is 1.6488 x 10 ^9 or 1.6488 billion.

Answer:

It would be D

Step-by-step explanation:

$1.65 billion

These angles are vertical angles meaning that they are equal to each other. Here is the equation for this problem:

x + 40 = 3x

Combine like terms

(x-x) + 40 = 3x - x

40 = 2x

Isolate x

40/2 = 2x/2

x = 20

Hope this helped!

Answer:

4.5 in²

Step-by-step explanation:

Given that the triangles are similar then

linear ratio of corresponding sides = 3 : 4, then

ratio of corresponding areas = 3² : 4² = 9 : 16

let the area of ΔEDF be x then by proportion

[tex]\frac{x}{9}[/tex] = [tex]\frac{8}{16}[/tex] ( cross- multiply )

16x = 72 ( divide both sides by 16 )

x = 72 ÷ 16 = 4.5

Area of ΔEDF = 4.5 in²

Answer: 3×607

Step-by-step explanation:

Prime factor is a number that can be divided by itself and 1 to get the quotient 0. so according to 1821 this can be divided by 1 and 3 to get a 0 quotient so because 1(unique number ) is not considered as a prime factor 3 is the answer for this question.

Answer is -11/17.

I've attached an image to show you how I got this answer.

11/17 THERE YOU GO YOU ARE WELCOME

I think it’s six because 3n=6-5 3 n=6-5 then subtract 5 5 from 6 6

Combine the common factors.

11x + 5 = 180

Subtract 5 from both sides.

11x = 175

Divide 11 from both sides to isolate the x.

x = 15.90909091

Answer:

x = 175/11

Step-by-step explanation:

Step 1: Combine like terms

11x + 5 = 180

Step 2: Subtract 5 from both sides.

11x = 175

Step 3: Divide 11 from both sides

x = 175/11

Answer:

if you simplify and solve you will get y=3

Answer:

x=3

Can you mark me as brainliest???

Answer:

Exact = 4.944 Rounded = about 5 Reality = 4 since there can’t be 99.4% of an human.

Step-by-step explanation:

0.8/100 = x/618

618(0.8) = 100x

494.4 = 100x

/100. /100

x = 4.944

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

The amount of any product is given as though it was a proportion of a hundred. The ratio can be expressed as a quarter of 100. The phrase % translates for one hundred percent. It is symbolized by the character '%'.

The percentage is given as,

Percentage (P) = [Final value - Initial value] / Initial value x 100

618 runners registered for the marathon. Of these runners, 0.8% completed the race in under 2 hr 15 min.

Let "N" be the number of runners who completed the race. Then the equation is given as,

0.8% = (N / 618) x 100

0.008 = N / 618

N = 0.008 x 618

N = 4.944

N ≈ 5

The number of runners that completed the race in under 2 hr 15 min will be 5 approximately.

More about the percentage link is given below.

https://brainly.com/question/8011401

#SPJ5

Y=2x should be correct

Y is two times the value of X, which can be represented as Y = 2X.

This indicates a directly proportional relationship between Y and X, where Y increases as X increases.

Answer:

1. Absolute value: function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input

2. Continuous function: function whose graph has no breaks

3. Step function: function whose graph consists of horizontal line segments

4. Piecewise-defined function: function defined on different intervals by different domain rules

Step-by-step explanation:

Answer:

Step-by-step explanation:Absolute value: function whose output equals input for non-negative numbers, and whose output is the opposite of a negative input

2. Continuous function: function whose graph has no breaks

3. Step function: function whose graph consists of horizontal line segments

4. Piecewise-defined function: function defined on different intervals by different domain rules

Answer:

91,000 Liters

Step-by-step explanation:

1 Kiloliters =  1,000 liters

91 times 1,000 = 91,000

To convert 91 kiloliters to liters, multiply 91 by 1,000, which equals 91,000 liters. Therefore, 91 kiloliters of water is equal to 91,000 liters.

To convert kiloliters to liters, you need to know the conversion factor. 1 kiloliter (kL) is equivalent to 1,000 liters (L). Therefore, to convert 91 kiloliters to liters, you simply multiply 91 by 1,000.

The calculation would be as follows:
91 kL × 1,000 L/kL = 91,000 L

So, 91 kiloliters of water is the same as 91,000 liters of water.

100 dollars because yeah

Answer:

Infinitely many solution

Step-by-step explanation:

The given equations are:

y = 3x + 2

3y = 9x + 6

We graph the two equations as shown in the attachment.

We can see that the second equation is lying on top of the first one.

This means that, they have infinitely many solutions.

Answer:

The provided system of equations have infinitely many solutions.

Step-by-step explanation:

Consider the provided system of equations:

y = 3x + 2 and 3y = 9x + 6

Now use the graphing technology in order to draw the graph of the equations.

The graph of the provided system of equations is shown in figure 1:

As it can be observed that the second equation is lying on top of the first one.

Therefore, they have infinitely many solutions.

Answer:

8/18

Step-by-step explanation:

[tex]\frac{4*2}{9*2} =\frac{8}{18}[/tex]

Answer:

8/18

Step-by-step explanation:

Check the picture below.

Step-by-step explanation:

Circumference: 2πr

or 2×22/7×40

= 44/7×40

=251.4 m (approx.)

The easier way to solve the equation 42 = x + 23 is by subtracting 23 from both sides of the equation. This will result in the value of x being 19. The process of isolating the variable on one side of the equation is important for finding the value of the variable.

In this mathematical equation, 42 = x + 23, to find the value of x, we need to isolate x on one side of the equation. The operation involved is subtraction. We subtract 23 from both sides of the equation. This process is important to maintain the equality of the equation. By doing this operation, both sides of the equation still balance. After subtracting 23 from both sides, we get x = 42 - 23, resulting in x = 19.

In order to find the value of x, Fran needs to isolate it on one side of the equation. To do this, she can subtract 23 from both sides of the equation, resulting in 42 - 23 = x. Simplifying further, she finds that x = 19.

Alternatively, Fran could have recognized that 42 - 23 equals 19 and immediately concluded that x = 19, saving her the need to do the subtraction step.

Therefore, the sentence that best explains why Fran could have found the answer in a simpler way is that she could have recognized the subtraction step as an immediate result and skipped it.

https://brainly.com/question/18322830

#SPJ2

Side DE is the longest side of the triangle.

Answer:

Side DE

Step-by-step explanation:

Hello, the answer to your question is side DE.

According to one of the inequality theorems, it says that if two angles in a triangle are not equal, the side opposite to the largest angle is the longest side. Therefore, the side opposite 110* is side DE.

Hope this helps.