what is the inverse of g(x)=(x-1)/4? is it g-1(x)=4x+1?

The correct answer would be -21.63 and +21.63

15% is written as 0.15 in decimal format.

Multiply the cost of the meal by 0.15.

19.50 x 0.15 = 2.925, which would round to $2.93

The tip is $2.93

To calculate a 15% tip for a $19.50 meal, convert 15% to decimal form (0.15), multiply by the cost of the meal ($19.50), and round to the nearest cent, resulting in a $2.93 tip.

Chris wishes to tip 15 percent to the waiter for his meal which costs $19.50. To calculate the amount of the tip, we need to convert the percentage to a decimal and then multiply it by the cost of the meal. Here's how you can do it:

Convert the tip percentage to a decimal: 15% ightarrow 0.15.

Multiply the decimal by the total cost of the meal: $19.50 imes 0.15.

The calculation gives us the tip amount: $2.925.

Since it's difficult to leave a fraction of a cent as a tip, we would round this to the nearest cent, giving us $2.93.

Therefore, Chris should tip $2.93 to the waiter.

3 miles per day * 365 days = 1095

1095-1000=95

The answer is B. 95 miles more.

1. When you rotate a figure counterclockwise, is that a positive rotation or a negative rotation? It is a positive rotation. Positive rotations are counterclockwise or anti-clockwise.

2. Rotating from the x-axis to the y-axis is a rotation of how many degrees? it is generally 180 degrees. To rotate a figure 180 degrees, we apply the rule (x, y) → (-x, -y).

i dont really know about 2. but i think for 1. is it is a negative rotation if you spin it like that.

13  By the factor theorem, if the function is divisible by x - 3 then f(3) = 0. So we have:-

2(3)^3 + k(3)^2 + 7(3) - 3 = 0

9k = 3 - 21 - 54 = -72

k =  -72/9 =  -8 answer

14.   Similarly ,   f(-4) = 0 , so we have:-

(-4)^3 + 9(-4)^2 + k(-4) - 12 = 0

-64 + 144 - 4k - 12 = 0

4k = -64 + 144 - 12 = 68

k = 68/4

k = 17   answer

h(t) is a linear function with a slope of -15.

Answer:

B

Step-by-step explanation:

C . Find a point that lies in the shaded region, or plug the points in and determine which point makes the inequality true.

Answer:

The distance is 55 units.

Step-by-step explanation:

Think of the bottom left corner of the rectangles, the shared vertex, as the origin of a coordinate plane. The positive x-axis is the lower 108-unit long horizontal side, and the positive y-axis is the left vertical 98-unit long side. The bottom left vertex is (0, 0). The center of the small rectangle is at (10, 16). The center of the large rectangle is at (54, 49). Now use the distance formula to find the distance between those two points.

[tex] d = \sqrt{(x_2 - x_1)^2 + (y_2 - y_1)^2} [/tex]

[tex] d = \sqrt{(54 - 10)^2 + (49 - 16)^2} [/tex]

[tex] d = \sqrt{44^2 + 33^2} [/tex]

[tex] d = \sqrt{1936 + 1089} [/tex]

[tex] d = \sqrt{3025} [/tex]

[tex] d = 55 [/tex]

Answer:

11 cupcakes

Step-by-step explanation:

Given that 114 dozen cupcakes can be prepared from 123 cups of flour.

i.e. if flour is 123 cups no of cupcakes that can be made = 114x 12 = 1368

For 1 cup how many cupcakes?

i.e. when cup reduces no of cupcakes also will decrease.

This relation is directly proportional.

Hence answer = 1x1368/123 =11.1219

Approximately 11 cupcakes Rashida can prepare

The question is about proportion. The recipe states that 1368 cupcakes require 123 cups of flour. Therefore, with 1 cup of flour, Rashida can make approximately 11 cupcakes.

The question is asking for the number of cupcakes that can be made with one cup of flour. This is a problem of ratios or proportions, a common subject in Mathematics. The recipe states that 114 dozen cupcakes (which is 1368 cupcakes) need 123 cups of flour, hence the ratio is 1368 cupcakes to 123 cups of flour.

To find out how many cupcakes we can make with 1 cup of flour, we set up a proportion: 1368/123 = x/1. Here, 'x' represents the number of cupcakes we can make with 1 cup of flour. Solving for 'x' gives us the number of cupcakes we can make. By doing this, we get 'x' = 11.12, but since we can't have a fraction of a cupcake, Rashida can make approximately 11 cupcakes with 1 cup of flour.

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Answer:

18

Step-by-step explanation:

a p e x

First day temperature is 0 degree.

Second day temperature is 3 degree higher than first day's temperature.

In order to find the higher temperature we need to add increased temperature in previous day's temperature.

First day given temperature is 0 degree .

Three degree higher than 0 would be 0+3.

On adding 0 and 3 we would get 3.

Answer:

43:76  

Step-by-step explanation:

Answer:

The degree of the polynomial in the expression below is:

A. 7

(hope this helps :3)

Answer: A.) 7

Step-by-step explanation: a p e x

That would be point-slope form, standard form, and slope-intercept form.

The three forms of linear equations are the standard form (Ax + By = C), the slope-intercept form (y = mx + b), and the point-slope form (y - y1 = m(x - x1)).

The three forms of linear equations are:

The standard form, which appears as Ax + By = C, where A, B, and C are constants, and A and B are not both zero.

The slope-intercept form, given by y = mx + b, with m representing the slope and b representing the y-intercept.

The point-slope form, which is written as y - y1 = m(x - x1), where m is the slope and (x1, y1) is a known point on the line.

Each form is useful in different contexts: the standard form is often used when both x and y intercepts are integers; the slope-intercept form is useful for quickly identifying the slope and intercept; and the point-slope form is handy when a point on the line and the slope are known.

Answer: Statement: `/_1 ~= /_4`, and `/_3 ~= /_5`.

Reason: Alternate Interior Angles Theorem

I just did the test and got 100%

Answer:

Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].

Reason:Alternate Interior  Angles Theorem

Step-by-step explanation:

We are given that  a triangle ABC.

We have a proof  that the sum of interior angle measures pf triangle ABC is [tex]180^{\circ}[/tex].

We have to find the missing steps in the given proof.

Statement 1 :Let  points A,B and C  form a triangle.

Reason: Given

Statement 2:[tex]$\overleftrightarrow{DE}$[/tex] is a line passing through B and parallel to [tex]\overline{AC}[/tex] with angles as labeled.

Reason: Definition a parallel line and labeling angles.

Statement 3:[tex]m\angle 1\cong m\angle 4 and m\angle3\cong m\angle 5[/tex].

Reason:Alternate Interior  Angles Theorem

Statement 4:[tex]m\angle 1=m\angle 4 and m\angle 3=m\angle 5[/tex]

Reason: Congruent angles have same measures

Statement 5 [tex] m\angle 2+m\angle 4+m\angle =180^{\circ}[/tex]

Reason: Angle addition and definition of a straight angle

Statement 6: [ytex]m\angle 1+m\angle 2+m\angle 3=180^{\circ}[/tex]

Reason : By substitution

Hence proved.

When you graph the two functions given, the graph B) shift 1 unit to the right.

Graph the two functions, see attached pictures:

~Rise Above the Ordinary

Answer:

Given:-Point P is the mid -point of MN and C is mid point of MP.

To prove:-MC =1/2PN

Proof:- As P is the mid -point of MN then P divides MN into two equal halves

such that MP=1/2MN=PN      ....................(1).(by Euclid's axiom "things which are equal to the same thing are also equal to one another")

Similarly as C is the mid point of MP then MC=1/2MP=CP ................(2)

Now replacing MP by PN from (1)in (2),we get

MC=1/2(PN)...................hence proved.

Answer:Juan live 384 miles from the mountains.

Step-by-step explanation:

Let x be the speed  of Juan for trip to the mountains

Time taken by Juan to reach the mountains=8 hours

then distance traveled by Juan for trip to mountain= speed × time=8x..........(1)

Time taken by Juan to reach the home= 6 hours

Speed increased by 16 miles per hour ∴ the resultant speed to reach the home by Juan =x+16

then distance traveled by Juan to reach the home =speed × time

= (x+16)6......................(2)

Now distance is same in both the case (1) and (2),we get

8x= (x+16)6

⇒8x=6x+96..............(by solving brackets)

⇒2x=96..............(subtracting 6x from both sides )

⇒x=48....................(dividing 2 from both sides)

Putting this value in (1) ,we get

Distance traveled by Juan for trip to mountain =8×48=384 miles.

∴ Juan live 384 miles from the mountains.

By using the rate and time of journey, it is determined that Juan lives 384 miles away from the mountains.

This question is about calculating the distance based on the rate and time of travel. Let's denote the distance to the mountains as 'D'. According to the question, Juan drove to the mountains and it took 8 hours. On his way home, there was no traffic and he was able to travel at a faster rate, which took 6 hours.

Let's denote the speed to the mountains as 'S', therefore his speed back was 'S + 16' (16 miles per hour faster). From the formula speed = distance/time (D = S*T), we know that the distance to and from the mountains remained the same, so we can set up the following equation to solve for the unknown distance D:

8S = 6(S + 16)

Solving for 'S' we get 48 mph. We can substitute S=48 into the first equation to get D = 8S = 8*48 = 384 miles. So, Juan lives 384 miles away from the mountains.

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The next number is 1440.

Here is the pattern:

12*2=24

24*3=72

72*4=288

So, you have to multiply 288 by 5, which will get you the answer 1440.

Answer:

b on edge

Step-by-step explanation:

The dimensions of the rectangle are 3 inches by 12 inches. This conclusion is achieved by using the supplied information that the rectangle is four times as long as it is wide, and the area is 36 square inches.

The problem is describing a rectangle whose length is four times its width and has an area of 36 square inches. The formula for the area of a rectangle is length x width. Given the rectangle is four times as long as it is wide, we can represent the width as 'w' and the length as '4w'. Therefore, the calculation would look as follows: 4w * w = 36. Solving this equation we get w^2=9, so w=3. Consequently, the length would be 4*3=12. Therefore, the dimensions of the rectangle are 3 inches by 12 inches.

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The answer is D

hope this helped

(5x^3y^4)^3/7

= 7th root of (5 x^3 y^4)^3

= 7th root of (5^3 x^9 y^12)

= 7th root of (125 x^9 y^12)

Answer is the last option

7th root of (125 x^9 y^12)

Elizabeth had to save $280 each month.

The correct option is (2).

A value or ratio that may be stated as a fraction of 100 is referred to as a percentage in mathematics.

As per the given data:

The annual tuition at a public two-year college last year was $3,200.

Expected growth in the tuition fee = 5%

We have to find the amount Elizabeth should have saved monthly during the previous year to pay her tuition fees.

For finding the increase in tuition fee:

= 5% of 3200

= (5/100) × 3200

= $160

Tuition fees after growth = 3200 + 160 = $3360

Amount Elizabeth had to save each month = Tuition fees after growth/12

= 3360/12

= $280

Elizabeth had to save $280 each month.

Hence, Elizabeth had to save $280 each month.

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Step 1. Use Multiplication Distributive Property

2^2x^2y^2 * -3x^2 * 4y^4

Step 2. Simplify 2^2 to 4

4x^2y^2 * -3x^2 * 4y^4

Step 3. Take out the constants

(4 * -3 * 4)x^2x^2y^2y^4

Step 4. Simplify 4 * -3 * 4 to -48

-48x^2x^2y^2y^4

Step 5. Use product rule: x^a x^b = x^a + b

-48x^2 + 2 y^2 + 4

Step 6. Simplify 2 + 2 to 4

-48x^4y^2 + 4

Step 7. Simplify 2 + 4 to 6

-48x^4y^6

The cost of renting 2 snowmobiles for 5 hours would be $75, as you double the cost for one snowmobile, which is $37.50.

The cost for renting one snowmobile for 5 hours is

$37.50

. If you want to rent 2 snowmobiles for the same amount of time, you simply need to double the cost. In mathematics, this is a simple multiplication operation. So,

2 x $37.50 = $75

. Therefore, the cost of renting 2 snowmobiles for 5 hours would be

$75

.

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Answer:

$ 548.59

Step-by-step explanation:

The complete solution is given in attachment below.