PLEEEEZZ HALP 50 POINTS
what is the inverse of the function

Step-by-step explanation:

I guess the result is needed again in slope-intercept form.

this is in general

y = ax + b

"a" being the slope, "b" being the y-intercept (y value when x = 0).

when a line is parallel to another line, this means they both have the same slope.

so, we can use the same "a" from the original line : -1

to get "b" we use the given point coordinates :

5 = -1×-3 + b = 3 + b

2 = b

so, the full equation is

y = -x + 2

Answer:

The new yearly salary is $16,800

Step-by-step explanation:

Amount of raise.

5% = 0.05

Multiply the original salary times the percentage of the raise.

$16000 * 0.05 = $800

New salary .

$16000 + $800 = $16,800

One-step Solution

$16000+($16000 * 0.05) =$16,800

700 is a reasonable estimate for the pieces of paper the business office uses in 7 days

The office uses 307 pieces of paper every 3 days

The first is to calculate the number of paper used per day

= 307/3

= 102.3

The number of paper used in 7 days can be calculated as follows

= 7 × 102.3

= 716

Hence 700 is a reasonable estimate for the pieces of paper the business office uses in 7 days

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Answer:

Sue Black: 40 hours, $270

Jerry Atrix: 30 hours, $154.50

Sam Ting: 38.75 hours, $339.06

Step-by-step explanation:

Firstly, 40 hours is a workweek of 8-hour shifts. It's good to remember. Otherwise, we can multiply 8 by 5 and get 40 anyway. That's the hours of Sue Black, and she earns:

40*$6.75 = $270

Jerry worked for (note you can easily add in memory if you do the fractions first):

7.25+3+6.75+8+5 = 7.25+6.75 + 3+8+5 = 14 + 16 = 30

Earnings:

30*$5.15 = $154.50

Sam worked a quarter of an hour less than Sue each day. That means that his total time was:

40 - 5 * 0.25 = 40 - 1.25 = 38.75

Earnings:

38.75*$8.75 = $339.0625 ≈$339.06

Answer:

Solutions: x=1.

Step-by-step explanation:

15x+180 is the required expression. Let the number be 'x'. For more than we would use addition.

A mathematical expression is the collection of mathematical symbols that results from the valid combination of numbers and variables using operations like addition, subtraction, multiplication, division, exponentiation, and other as-yet-unlearned operations and functions.

2x + 3 is an illustration of a mathematical expression with a variable. Each and every variable needs to have a coefficient, or a value multiplied by the variable. The number 2 is the coefficient of x in the expression 2x + 3, which translates to 2x times plus 3.

Mathematical operators like addition, subtraction, multiplication, and division are used to create expressions in writing.

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The list that shows all the possibilities for the number of toy soldiers Jamal could place in each line is 1, 2, 17 and 34.

From the information, Jamal has 34 toy soldiers. He wants to arrange the soldiers into one or more equal-sized lines.

It should be noted that the factors of 34 are 1, 2, 17, and 34.

Therefore, the list that shows all the possibilities for the number of toy soldiers Jamal could place in each line is 1, 2, 17 and 34.

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Given the value of the circumference, the radius of the circle to the nearest tenth is 7.0m.

A circle is simply a closed 2-dimensional curved shape with no corners or edges.

The circumference of a circle is expressed mathematically as;

C = 2πr

Where r is radius and π is constant pi ( π = 3.14 ).

Given the data in the question;

Plug the given values into the circumference formula above and solve for r.

C = 2πr

44m = 2 × 3.14 × r

44m = 6.28 × r

Reorder the equation and divide both sides by 6.28

6.28 × r = 44m

( 6.28 × r )/6.28 = 44m/6.28

r = 44m/6.28

r = 7.0m

Given the value of the circumference, the radius of the circle to the nearest tenth is 7.0m.

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Step-by-step explanation:

1 pound is equivalent to 3500 calories.

if you burn 450 more calories per day, it will take as many days as the times 450 fits into 3500 :

3500 / 450 = 7.77777777... days

for 10 pounds we need to burn 10×3500 = 35000 calories.

35000 / 450 = 77.77777777... days (10 times more logically than for 1 pound).

The most reasonable conjecture for the number of triangles in the eighth figure in the pattern is that there are 8 triangles in the eighth figure in the pattern

The given figure represents the given parameter

From the figure, we have the following parameters

When represented as a sequence, we have the following terms

4, 6, 8.....

The above sequence represents an arithmetic sequence with the following properties

First term, a = 4

Common difference, d = 2 i.e. 6 - 4

The most reasonable conjecture for the number of triangles in the eighth figure in the pattern is calculated by the following arithmetic sequence formula

Tn = a + (n - 1) * d

So, we have

T8 = 4 + (8 - 1) * 2

Evaluate

T8 = 18

Hence, the most reasonable conjecture for the number of triangles in the eighth figure in the pattern is that there are 8 triangles in the eighth figure in the pattern

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Answer:

C intercept is 800, n intercept is -3.3333...

Step-by-step explanation:

C = 240n + 800 is a linear equation (the graph is a line)

C-intercept is the point with the coordinates ( 0, C-intercept ) where the line C = 240n + 800 is intersecting the vertical C-axis and

n-intercept is the point with the coordinates (n-intercept, 0) where the line C = 240n + 800 is intersecting the horizontal n-axis.

Find the C-intercept:

n has to be 0 for our line to intercept the C-axis, so substitute n = 0 in our given equation

C = 240n + 800

C = 240·0 + 800

C = 800

Find the n-intercept:

C has to be 0 for our line to intercept the n-axis, so substitute C = 0 in our given equation

C = 240·n + 800

0 = 240·n + 800, subtract 800 from both sides

-800 = 240 ·n, divide both sides by 240

-800/240 = n

-3.(3) = n

The orders from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:

Brenda < Tim  < Carlton < Ali

Ascending order is a method of arranging numbers from smallest value to largest value. The order goes from left to right. Ascending order is also sometimes named as increasing order. For example, a set of natural numbers are in ascending order, such as 1, 2, 3, 4, 5, 6, 7, 8… and so on.

If the information is sorted from highest to lowest, it is said to be in descending order. For example 10, 9, 8, 7, 6, 5, 4, 3, 2, 1 are arranged in descending order. In other words, if the numbers are arranged from the largest to the smallest number, it is said to be in descending order.

We can write, four friends went scuba diving today,

Ali dove = 70 feet,

Tim went down = 50 feet,

Carl dove = 65 feet,

Brenda reach = 48 feet below sea level.

To determine the order from the person whose death was closest to the surface to the person whose death was the farthest from the surface.

Arrange in ascending order of distance from sea level.

Brenda < Tim  < Carlton < Ali

48feet < 50 feet < 65 feet < 70 feet

Therefore,

The order from the person whose depth was closest to the surface to the person whose depth was the farthest from the surface as:

Brenda < Tim  < Carlton < Ali.

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Answer: 9.6 meters

Step-by-step explanation:

See attached image

Answer:

9=11

Step-by-step explanation:

The missing value in the table below assuming a linear relationship is 18

The table of values represents the given parameters

From the question, we understand that the relationship is a linear relationship.

This means that the x and y values change at constant rate

From the table, we have

As x increases by 1, y increases by 2

So, the missing value is

Missing value = 16 + 2

Evaluate

Missing value = 18

Hence, the missing value in the table below assuming a linear relationship is 18

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Answer:

Step-by-step explanation:

The exponent is -3, making it 10 to the power of negative 3. When an exponent is negative, the solution is a number less than the origin or base number. To find our answer, we move the decimal to the left 3 times:

9.2 -> 0.0092

The answer is D.

Answer:

0.0092.

Step-by-step explanation:

I have an explanation on this same question. Apparently, you have a duplicate of this.

Answer:

No they do not because it does not qualify for a triangle due to the extreme differences in messurments

Step-by-step explanation:

Answer:

32⅘

(using indices)

32 = 2⁵

= 2⁵ × 1⅘

= 2²⁰

⁵

= 2⁴ = 16

If 13 cents per yard is the price, and there was $8.63 left on the card, the yards of ribbon  Leila bought is 49 yards of ribbon.

To determine the number of yards of ribbon Leila bought, we need to calculate the difference between the initial balance on the prepaid debit card and the remaining balance after the purchase.

Initial balance: $15.00

Remaining balance: $8.63

The difference between these two amounts represents the amount spent on the ribbon:

$15.00 - $8.63 = $6.37

Now, we can calculate the number of yards of ribbon by dividing the amount spent by the price per yard:

$6.37 / $0.13 = 49

Therefore, Leila bought 49 yards of ribbon.

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Answer:

1/2

Step-by-step explanation:

Since 13+13= 26 we know that 13 or 1/2 are girls

Answer:

y = 8/5

Terms:

3y, -2y, y

Leading term:
3y

Step-by-step explanation:

Subtract by 17 from all sides

[tex]3y+17-17=-2y+25-17[/tex]

Simplify

[tex]3y=-2y+8[/tex]

Add term 2y

[tex]3y+2y=-2y+8+2y[/tex]

Simplify further

[tex]3y + 2y = 5y\\= 5y\\5y = 8[/tex]

Divide all sides by 5

[tex]\frac{5y}{5}=\frac{8}{5}[/tex]

Cancel the current leading term, 5y, simplify one last time

[tex]y=\frac{8}{5}[/tex]

Answer:

y =  [tex]\frac{8}{5}[/tex]  or  [tex]1\frac{3}{5}[/tex]  or  [tex]1.6[/tex]  ✅

Step-by-step explanation:

[tex]3y+17=-2y+25[/tex]

                 ⬆️

Move the variable to the left-hand side and change its sign

              ⬇️

[tex]3y+17+2y=25[/tex]

      ⬆️

Move the constant to the right-hand side and change its sign

                      ⬇️

[tex]3y+2y=25-17[/tex]

   ⬆️

Collect like terms

⬇️

[tex]5y=25-17[/tex]

           ⬆️

Subtract the numbers

       ⬇️

[tex]5y=8[/tex]

  ⬆️

Divide both sides of the equation by 5

  ⬇️

[tex]\frac{5y}{5} =\frac{8}{5}[/tex]

  ⬇️

Solution

[tex]y=\frac{8}{5}[/tex]  ✅

Alternative form

[tex]y=1\frac{3}{5} , y=1.6[/tex]  ✅

I hope this was helpful!

Have a blessed day! (✿◠‿◠)

The probability that the selected number is even is 7/15.

The probability that the selected number is a multiple of 4 is 1/5.

The probability that the selected number is a prime number is 2/5.

Based on the information illustrated, the following can be deduced:

Even numbers = 2, 4, 6, 8, 10, 12, 14.

Multiple of 4 = 4, 8 and 12.

Prime numbers = 2, 3, 5, 7, 11, and 13.

Therefore, the probability that the selected number is even will be:

= 7/15.

The probability that the selected number is a multiple of 4 is:

= 3/15 = 1/5.

The probability that the selected number is a prime number is:

= 6 / 15

= 2/5.

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The correct answer is 3.5.

Let t be the amount of time each steamer takes.

Two steamers that are headed in opposite directions depart a port on a river at the same time, according to the information provided.

Given that both steamers move at the same speed, they would cover the same distance in t hours.

Given that both steamers covered 140 miles, we can write the following equation to reflect this data:

                              rate             time                distance

First stream            20               t                       20t

Second stream      20               t                       20t

                                                                           140

setting the equation ,

20t + 20t = 140

40t = 140

t = 140/40

t = 3.5

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The following are the results:

[container 1] = aₙ = aₙ₋₁  ₊  4.5 ; a₁ = 0

[container 2] = aₙ = ₋4.5 ₊ 4.5n

[container 3] = 68 , 57 , 46 , 35 , 24, ..

[container 4] = aₙ = 79 ₋ 11n

[container 5] = 12 , 19 , 33 , 40

[container 6] = aₙ = aₙ₋₁ ₊ 7; a₁ = 12

Given the sequence is : 0,4.5,9,13.5,18,..

recursive formula = aₙ=a₍ₙ₋₁₎+4.5 where a₁ = 0

Explicit formula = aₙ = a₁ ₊ (n ₋ 1)4.5

= 0 ₊ (n ₋ 1)4.5

aₙ = ₋4.5 ₊ 4.5n

b. given, we have recursive formula: aₙ = aₙ₋₁  ₋ 11 ; a₁ = 68

here we have the common difference as 11, and the initial term is 68.

hence the sequence will be 68 , 57 , 46 , 35 , 24, ..

Explicit formula = a₁ ₊ (n ₋ 1)11

aₙ = 68 ₊ 11n ₋ 11

aₙ = 79 ₋ 11n

c. the explicit formula is given, aₙ = 5 ₊ 7n

here we have the common difference as 7.

so the sequence is 12,19,33,40

and the recursive formula is aₙ = aₙ₋₁ ₊ 7; a₁ = 12

Hence we get the acquired results.

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Answer:

13

Step-by-step explanation:

u multiply 4.50 x 3 it makes it 13.5 so they basically need to pay more .

Answer: The preimage and final image are the same point

This applies to every point in the xy plane.

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

Explanation:

Let's say we started with the example point of (5,7)

Put the coordinates of the point into the T(x,y) transformation

We'll replace every x with 5 and every y with 7

So,

T(x, y) = (x+3, y-1)

T(5, 7) = (5+3, 7-1)

T(5,7) = (8, 6)

What does this mean? It means that the original preimage point (5,7) moves to (8,6). This is a shift of 3 units right and 1 unit down.

------------------

Now we'll plug the coordinates of that result, the (8,6), into the transformation of S(x, y) = (x-3, y + 1)

Plug in x = 8 and y = 6 to get...

S(x, y) = (x-3, y + 1)

S(8, 6) = (8-3, 6 + 1)

S(8, 6) = (5, 7)

We have gone from (8,6) to (5,7). We're back where we started.

The second transformation of (x-3, y+1) shifts 3 units left and 1 unit up. Notice both of these undo the original "3 units right and 1 unit down" from earlier. So this is why we get back to the starting point. It's not a coincidence.

Therefore, transformation T and transformation S are inverse transformations of one another. They undo each other. It's like taking a step forward (transformation T) and then taking a step back (transformation S)

In terms of algebra, it's like how multiplication and division are inverses of each other.

As you can probably guess, there's nothing particularly special about (5,7). I chose two random numbers. Pick whatever two favorite numbers you want for x and y. Plug them into T(x,y) and then whatever that result is, plug it into S(x,y) to notice you should get back to your original choice of (x,y). I recommend GeoGebra as a useful tool to help with geometric transformations.

Step-by-step explanation:

based on the story told I expected completely different questions.

but for the actually asked question the whole thing about gaining our not gaining weight is competent irrelevant. ignore it.

so, all we need to do is looking at the row totals.

27.4% of the participants took 1 vitamin.

49.5% of the participants took more than 1 vitamin.

so, 49.5% + 27.4% = 76.9% of all participants are taking vitamins in some form.

therefore, the second answer option is correct.

Answer: the bus's speed on the level road was 65 milles per hour

Step-by-step explanation:

Let the bus's speed on the level road is x mph

Hence, the bus's speed on the winding road is (x-20) mph

Thus,

3(x)+5(x-20)=420

3x+5x-100=420

8x-100=420

8x-100+100=420+100

8x=520

Divide both parts of the equation by 8:

x=65 mph

The actual volume of the cylinder is 61.73 cm³

Percentage error is the error introduced in a measurement. The formula for the error is given as :

           Error = Percentage error * measured volume

According to the question we have been given that

                        determined volume of cylinder =  58.8 cm³

                         Percentage error  = 4.98%

thus, error = 4.98% * 58.8

                 = 0.0498 * 58.8

                 = ±2.93 cm³

The formula for the actual volume is given as

 Actual volume = measured volume ± error

                          = 58.8 ± 2.93 cm³

As the error is high we will do addition we get

                         = 58.8 + 2.93 cm³

                         = 61.73 cm³

hence the actual volume is 61.73 cm³

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