A $100 sweatshirt is put on sale for 40% off. One week later, the sale price is marked up by 40%. Will the marked-up price of the sweatshirt be less than, greater than, or equal to the initial price of $100?

The inverse of the given function is f-1(x)= x²+4.

A function that "undoes" another function in mathematics is known as an inverse. In other words, if f(x) produces y, then y entered into the inverse of f produces x. An invertible function is one that has an inverse, and the inverse is represented by the symbol f-1.

To calculate the inverse of a function:

Consider f(x)=y

And interchange the variables.

So given f(x)= √x-4 becomes

y=√x-4 ⇒ x=√y-4

Now on squaring both sides we get,

x²= y-4

⇒ y = x²+4

Replace y by f-1(x)

So the equation becomes,

f-1(x) = x²+4

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[tex]x\leq -18[/tex]

Graph Displayed Below

Hope this helps!

The solution to the given inequality [tex]3x \leq -54[/tex] is [tex]x \leq \frac{-54}{3}[/tex] .

Inequality is a fine statement that compares two values, showing if one is lower than, lesser than, or simply not equal to another value. Inequalities are frequently used to represent connections between amounts, similar to the relationship between the height and weight of a person, or the relationship between the speed and time of an object in stir.

We first divide the inequality [tex]3x \leq -54[/tex] by 3 on both sides to obtain:

[tex]x \leq \frac{-54}{3}[/tex] .

Then, we plot the line [tex]x = \frac{-54}{3}[/tex] on the graph. The region left to the line thus obtained is the solution of the given question.

Thus, the line [tex]x \leq \frac{-54}{3}[/tex] is plotted in the graph.

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If Martin earned $8.75 an hour plus another $18 in tip and Lawrence earned $9.25 an hour and spent $2 on a soda, then the inequality represents the situation is 8.75x+18 < 9.25x-2

The payment of Martin per hour = $8.75

The addition tip he got = $18

The payment of Lawrence per hour = $9.25

The amount he spend for soda = $2

x represents the number of hours worked

Lawrence had more money than Martin

Then the inequality will be

8.75x+18 < 9.25x-2

Hence, if Martin earned $8.75 an hour plus another $18 in tip and Lawrence earned $9.25 an hour and spent $2 on a soda, then the inequality represents the situation is 8.75x+18 < 9.25x-2

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Answer:

1, 2, 8

Step-by-step explanation:

Corresponding angles lie on the same side of the parallel lines and on the same side of the transversal.

1, 2, and 8 are corresponding angles.

Answer:

7 People is they all go in the same car and pay only for 1 parking space.

Step-by-step explanation:

23.25x + 7.25 ≤ 170  Subtract 7.25 from both sides of the equation

23.25x ≤ 170  Divide both sides by 23.25

x ≤ 7

The domain and the range of the graph are x >= 1 and -∝ < y < ∝, respectively

The domain of the function is the set of input values of the graph

The range of a function is the set of output values of the graph.

The domain

On the graph of the function, we can see that:

The x values start from 1 and it extends indefinitely to the right

This means that the domain is x >= 1

The range

On the graph of the function, we can see that:

The y values extend indefinitely on all sides of the coordinate plane

This means that the range is -∝ < y < ∝

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Answer:X squared =4/9 is c

              X to the third power is a

               X squared =81/46 is b or d

               X to the third power is d or b

Answer:

x = 18

Step-by-step explanation:

the angles pictured are supplementary angles.

supplementary angles are angles whose sum equals 180°

ex: <1 + <2 = 180°

[tex]5x - 11 + 6x - 7 = 180[/tex]

[tex]11x - 18 = 180[/tex]

[tex]11x = 198\\x = 18[/tex]

Answer:

[tex]\boxed{\sf{x=18}}[/tex]

Step-by-step explanation:

To find the value of x, you have to use the supplementary angles which is equal to 180°.

Supplementary angles = 180°

5x-11+6x-7=180

Combine like terms.

[tex]\sf{5x+6x-11-7=180}[/tex]

5x+6x=11x

[tex]\sf{11x-11-7=180}[/tex]

Subtract the numbers from left to right.

-11-7=-18

[tex]\sf{11x-18=180}[/tex]

You have to add by 18 from both sides.

11x-18+18=180+18

Solve.

Add the numbers from left to right.

180+18=198

11x=198

Divide by 11 from both sides.

11x/11=198/11

Solve.

198/11=18

[tex]\rightarrow \boxed{\sf{x=18}}[/tex]

Therefore, the final answer is x=18.

Answer: 9 inches

Step-by-step explanation:

       We know that the area of a square can be solved with the following formula when s is the length of one side. We will plug in our known values and solve:

        a = s²

        (81) = s²

        [tex]\sqrt{81}[/tex] = s

        9 in = s

       One side of the rug is equal to 9 inches.

To purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.

As given in the question,

Cost of the mobile set Mrs Sharma purchase = Rs 18000

VAT added on purchasing a mobile set is equal to 13%

Amount of VAT on mobile set is equal to

= 13% of 18000

= (13/100) × 18000

= 13 ×180

= Rs 2340

Mrs Sharma needs to pay amount to purchase a mobile set

=18000 + 2340

= Rs 20,340

Therefore, to purchase a mobile set with the cost of Rs 18000 and VAT 13% , Mrs Sharma needs to pay Rs 20,340.

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The solution to the inequality |2x - 3| > 5 is: x < -1 or x > 4

Therefore, the correct option is A) x < -1 or x > 4.

Given that we need to find the solution to the inequality |2x – 3| > 5

To solve the inequality |2x - 3| > 5, we can break it down into two cases:

Case 1: 2x - 3 > 5

In this case, we have:

2x - 3 > 5

2x > 5 + 3

2x > 8

x > 4

Case 2: -(2x - 3) > 5

In this case, we have:

-(2x - 3) > 5

-2x + 3 > 5

-2x > 5 - 3

-2x > 2

x < -1 (remember to reverse the inequality when multiplying or dividing by a negative number)

Combining the solutions from both cases, we find that the solution to the inequality |2x - 3| > 5 is:

x < -1 or x > 4

Therefore, the correct option is A) x < -1 or x > 4.

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5x + 10 is the simplified form of the expression 2( 3x + 4 ) - ( x - 2 ).

Given the expression in question;

2( 3x + 4 ) - ( x - 2 )

To expand and simplify, get rid of the first parenthesis using distributive property.

2( 3x + 4 ) - ( x - 2 )

3x( 2 ) + 4 ( 2 ) - ( x - 2 )

6x + 8 - ( x - 2 )

For the second parenthesis, the negative sign before it affects everything inside it, hence;

6x + 8 - ( x ) - ( - 2 )

6x + 8 - x + 2

Collect like terms

6x - x + 8 + 2

Add 6x and -x

5x + 8 + 2

Add 8 and 2

5x + 10

Therefore, the simplified form of the expression is 5x + 10.

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Answer:

Step-by-step explanation:

If the diagonal of a square is 11.3 meters, approximately what is the perimeter of the

square?

find the area with the formula ½ × d ^ 2 Square units, take the square root of the result and find the side, multiply by 4 and you have the perimeter.

1/2 11.3^2 =

1/2 127,69 =

63.845 m²

√63.845 =

7.99 m

7.99 * 4 =

31.96 m

Answer:

Michael age is 13 and keanus age is 39

Step-by-step explanation:

Michael is 1/3 of keanus age

so Michael is 1 and keanus is 3 so if u add them all up it's 4 so 52 divide by 4 it's 13 so Michael is 13 and if you times three it will be 39, and if u add their age together it adds up to 52 so it's 13

Answer:

-4 2/21

Step-by-step explanation:

-2 3/7 - 1 2/3

Change to improper fraction

-2 3/7 = -17/7

- 1 2/3 =-5/3

-17/7-5/3

L.C.M=21

-51-35/21

= -86/21

= -4 2/21

Hope it helps..

Please mark brainliest

Answer:

5 minutes and 20 seconds

Step-by-step explanation:

basically your equation is: (rate of filling container) x (time to fill container)

- (minus)

(rate of leaking from container) x (time to fill container)

=

(the size of the container in gallons)

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

step 1 - so t = the time in minutes to fill14 gallon container

step 2 - convert 2 3/4 to quarters so:

2 • 4 = 8 and it’s in quarters so 8/4 then

8/4 + remaining 3/4 = 11/4

step 3 -  so then you fill in the equation:(11/4)•t - (1/8)•t = 14

step 4 - multiply both sides of the equation by 8:

(11/4) = 2.75 • 8 = 22

(1/8) = 0.125 • 8 = 114 • 8 = 112

so the equation is:

22t - t = 112

step 5 - divide both sides of the equation by 22:

22t / 22 = t 

112 / 22 = 5.333

so t = 5.333 

step 6 - convert 

so 5.333 has a repeating decimal of 0.3 which is 1/3. so to convert that to seconds, take 1/3 of  60:

 60 / 3 = 20 

so it takes 5 minutes and 20 seconds to fill the 14 gallon container

hope this helps :)

Answer:

Multiply 5/2 to both sides

Step-by-step explanation:

Doing so 'cancels' out the coefficient of (z+1) on the left-hand side.

The equation of line in slope intercept form can be written as y = mx + c where m is the slope of line and c is the y intercept.

We are given three equations namely y = 2x -2, y = -x + 1 and y = x - 4 and we need to determine the description of equation, slope and y intercept. The equation y = 2x - 2 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 2 and c = -2. Thus, slope is 2 and y intercept is -2. The equation y = -x +1 is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = -1 and c = 1. Thus, slope is -1 and y intercept is 1. This equation y = x - 4is the equation of straight line. If we compare this equation with the slope intercept form of line then, m = 1 and c = -4. Thus, slope is 1 and y intercept is -4. The graphs of the equation are attached below.

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The solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

In this question, we have been given an inequality  2(4x + 1) < 3(2x - 3)

We need to solve given inequality.

2(4x + 1) < 3(2x - 3)                          ..............(Given inequality)

8x + 2 < 6x - 9               .............(simplify both sides of the inequality)

8x + 2 - 6x < 6x - 9 - 6x             ............(subtract 6x from both the sides)

2x + 2 < -9

2x + 2 - 2 < -9 - 2                       ............(subtract 2 from each side)

2x < -11

2x/2 < -11/2                               ................(Divide each side by 2)

x < -11/2

Therefore, the solution to given inequality 2(4x + 1) < 3(2x - 3) is x < -11/2

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The amount in the savings account of Mrs. Martins after 9 years will be $4081.

According to the question,

We have the following details:

The amount deposited in the savings account or the principal amount = $2,650

Interest per year = 6%

Time = 9 years

(It is given that the interest is not compounded.)

Now, using the formula of simple interest, we will first find the total interest after 9 years,

Simple Interest (S.I.) = (Principal * Rate * Time)/100

S.I. = (2650*6*9)/100

S.I. = (2650*54)/100

S.I. = 143100/100

S..I. = $ 1,431

Now, the total amount in the savings account would be the sum of the principal amount and the total interest.

So, we have:

Total amount = Principal + S.I.

Total amount = $ (2,650+1,431)

Total amount = $ 4,081

Hence, the total amount in Mrs. Martins's savings account is $ 4,081.

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Answer:

x= 2/3 or x= −4

Explanation:
3x2+16x−10=6x−2

Step 1: Subtract 6x-2 from both sides.

3x2+16x−10−(6x−2)=6x−2−(6x−2)

3x2+10x−8=0

Step 2: Factor left side of equation.

(3x−2)(x+4)=0

Step 3: Set factors equal to 0.

3x−2=0 or x+4=0

x=2/3 or x= −4

Both of the blanks given in the table can be filled in by the ratio 18/1.

Here, we are given a table as shown in the image given above.

There is a proportional relationship given between Demi's test scores and her studying time.

When she studies for 3 hours, her test score is 54.

Thus, the ratio of her test score to hours studying is - 54/3

= 18/1

Similarly, when she studies for 4 hours, her test score is 72.

Thus, the ratio of her test score to hours studying is - 72/4

= 18/1

Thus, both of the blanks given in the table can be filled in by the ratio 18/1.

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Answer:

y=5x-13

Step-by-step explanation:

1. (3,2) = x,y

2. substitute each x and y digit into y=mx+b format

3. 2=5(3)+b

4. solve for 2=5(3)+b which equals b=-13

5. ANSWER IS SOLVED WHEN ANSWERED IN y=mx+b FORMAT

5. y=5x-13

Answer:

C=38.48+0.5x

about 143 miles

Step-by-step explanation:

$38.48 base cost plus $.50 per mile, so after x miles, it would be 0.5x

so C=38.48+0.5x

to find how many miles Paul can travel

we set 110=38.48+0.5x

then solve

x=143.04

so Paul can travel about 143 miles

Answer: 11/16

Step-by-step explanation:

1/8=2/16

1/4=4/16

5/16=5/16

add it all together

The given function f(x) =3x² - 48/2x+8 has no Horizontal asymptote.

A horizontal asymptote may be defined as a horizontal line at which the graph of the function will appear to meet but will not actually meet. It is a tool to determine the end behavior of the function. We are given the function f(x) = 3x² - 48/2x+8. Now to find horizontal asymptote of this function we first find lim ₓ→∞ f(x) that is

lim ₓ→∞ (3x² - 48)/(2x + 8)

lim ₓ→∞ 3/2(x - 4) = ∞

Now, we calculate lim ₓ→-∞ f(x) that is

lim ₓ→-∞ (3x² - 48)/(2x + 8)

lim ₓ→-∞ 3/2(x - 4) = -∞

Since, both the limits are different therefore function does not have any horizontal asymptote.

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Answer:

Step-by-step explanation:

21

Answer: 21

Step-by-step explanation: To solve for AC, you will need to add segments AB and BC together. So, 9+12=21

Answer:

8.368, 156.8, 2.52$

Step-by-step explanation:

0.8% of 1,046 is 8.368

to get this first find 80% of 8.368 so you can get 836.8 and then you move it back 2 places to get 8.368

160% of 98 will be 156.8

first split it up into 2 problems for it to be easier

100% of 98

and 60% of 98

100% of 98 = 98

60% of 98 = 9.8*6 = 58.8

98+58.8 = 156.8

For the 3rd one it will be 2.52$ srry gtg soon so can't explain