If AL = 27, find AP and PL.

Answer:

-243, 729

Step-by-step explanation:

[tex]f(x) = {( - 3)}^{x} [/tex]

x = 0, 1, 2, 3, .....

[tex]f(5) = {( - 3)}^{5} = - 243[/tex]

[tex]f(6) = {( - 3)}^{6} = 729[/tex]

The finalized set is { 3 , 4 ,7 , 10 }

Only numerical variables, whether continuous or discrete, can be used to calculate the mean. It is calculated by merely dividing the total number of values in a data set by the sum of all the values in the data set.

The given set is {3,4,7}

3 + 4 + 7 =14

To calculate the mean we divide the sum by the number of numbers present

So we must add 10

because if we add 10 to the set we get

3 + 4 + 7 + 10= 24

Thus the mean = [tex]\frac{24}{4}[/tex]

When we divide these two numbers we get :

mean = 6

Thus the finalized set is { 3 , 4 ,7 , 10 }

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Answer:

4/3

Step-by-step explanation:

so in y=mx+b form.

m=slope b=y-int

Subtract 5 from both sides to isolate y on a side.

4x-6=3y

Divide both sides by 3 to isolate y on one side.

(4/3)x-2=y

y=(4/3)x-2

m=4/3

b=-2

So the slope is 4/3

Answer:

nStep-by-stepkbexplanation:

Option (3) is correct. A translation of 3 units down.

What is translation of points?

A point's linear displacement from its starting position is referred to as translation. In an x - y coordinate plane, a point's coordinates are labelled with respect to the origin by first indicating the horizontal position and then the vertical position.

Given: The coordinates of Quadrilateral EFGH and its image, Quadrilateral E'F'G'H', are given below,

E(-5, 5)   ⇒ E'(-5, 2)

F(-3, 4) ⇒ F'(-3, 1)

G(-2, 1) ⇒ G'(-2, -2)

H(-4, 2) ⇒ H'(-4, -1)

From above we can see that the y - coordinate of each point is decrease by 3.

Which is the translation of 3 units down.

Therefore, the single transformation a translation of 3 units down, could be used to map Quadrilateral EFGH to Quadrilateral E'F'G'H'.

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Answer:

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

and

The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh).

A mixture of variables, numbers, addition, subtraction, multiplication, and division are called expressions.

An expression is a mathematical proof of the equality of two mathematical expressions.

A statement expressing the equality of two mathematical expressions is known as an equation.

As per the given volume expression,

V= lwh

a)

l = V/(wh)

l = 8/(2 × 4) = 1

b)

V= lwh

l = V/(wh)

Hence "The expression of the given volume formula for the l will be 1 and l, in general, will be V/(wh)".

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The best way Antonio's budget can be modified to help him save enough is D. Antonio could reduce his monthly entertainment expenses by $75 and his food expenses by $50 to pay the monthly rent. He could take $200 out of savings once for the deposit

A budget is an estimate of revenue and expenses for a given period of time that is usually compiled and re-evaluated on a regular basis. A budget expresses intended expenditures as well as recommendations for how to meet them with resources.

Saving is the portion of one's income that is not spent on current expenses. In other words, it is money set aside for future use rather than being spent immediately. An expense is a cost incurred by businesses in the course of their operations. Wages, salaries, maintenance, rent, and depreciation are expenses.

In this case, the way to reduce the budget is illustrated.

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The number of marigold in the garden of Paula is 24.

An equation is the statement that illustrates that the variables given. In this case, two or more components are taken into consideration to describe the scenario.

Let the number of marigold be m.

In this case, the number of tulips in Paula's garden is 8 less than the number of marigolds. The number of marigold will be:

m - 8 = 16

m = 16 + 8.

m = 24

The number of marigold is 24.

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Answer:

1.8291

Step-by-step explanation:

The number of red marbles in the bag is 12.

We are given a bag. The bag contains two types of marbles. There are red and blue marbles in the bag. The ratio of marbles is four red marbles to thirteen more blue marbles than red marbles. Let the ratio of the number of red marbles to that of blue marbles be denoted by the variable "r".

r = 4/(13 + 4) = 4/17

The number of red marbles and blue marbles in the bag is 4x and 17x, respectively, where "x" is a variable. We know that the number of blue marbles in the bag is 51. We can write the following equation to find the value of "x".

17*x = 51

x = 51/17 = 3

Hence, the number of red marbles is 4x = 4*3 = 12.

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At Letter2go, Betsie can purchase the 250 envelopes. As an example, 250 envelopes cost £31.9 in the Letter2go store but £33.17 in the Value World store.

Mathematical actions are called expressions if they have at least two terms that are related by an operator and include either numbers, variables, or both. Adding, subtraction, multiplying, and division are all reflection coefficient operations.

From Letters 2 go:

Pack of 25 envelopes for £3.19

If we look at the price of envelopes at shop 1, which is Value World,

The cost of a pack of 10 envelopes is £1.99.

Also, buy 2, get one is free

Which means that 1 pack = £1.99

2 packs = 2×£1.99 = £3.98

Also, with 2 packs Betsie get 1 pack free

So, Betsie gets 3 packs for £3.98.

1 pack = 10 envelopes

3 packs = 30 envelopes.

Hence,

In shop Value World:

30 envelopes = £3.98

1 envelope = £3.98/30

250 envelopes = (3.98/30)×250

So, 250 envelopes will cost £33.17 in Shop Value World.

From shop Letter 2 go:

25 envelopes = £3.19

1 envelope = £3.19/25

250 envelopes = (3.19/25)×250

Therefore, 250 envelopes in Store Letter 2 go should cost £31.9.

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Answer:

24 people

Step-by-step explanation:

600 = 25x + 50  Subtract 50 from both sides of the equation

550 = 25x  Divide both sides by 25

24 = x

Answer: x = 22

Step-by-step explanation:

We need to use trial and error for this.

20 - 25 seems like a reasonable range to substitute x with.

C(20) = 25(20) + 50

C(20) = 500 + 50

C(20) = 550.

This means that 20 is not the answer. Let's try 21.

C(21) = 25(21) + 50

C(21) = 525 + 50

C(21) = 575.

This means that 21 is also not the answer. let's try 22.

C(22) = 25(22) + 50

C(22) = 550 + 50

C(22) = 600.

This means that 22 is the maximum number of people for a budget of $600.

x = 22

Answer:their equal to 150

Step-by-step explanation:

took the test

I will have to reject the offer of the rival company since it's lesser than $40560.

From the information, the person works a basic week of 40 hours and the basic rate is $19.50 per hour. It should be noted that there are 52 weeks in a year. The total amount will be:

= 40 × 19.50 × 52

= $40560

The rival company offers you an annual salary is $36000.

I'll reject the rival company's offer since it's lower.

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Complete question

You work a basic week of 40 hours and your basic rate is $19.50 per hour. A rival company offers you an annual salary is $36.000. Except for the pay, everything is identical between the conpanies. Do you accept or reject the rival company's offer, and why?

Step-by-step explanation:

#=number

Nachelle gets 50 points when signing up: 50+#x=#

Nachelle earns 12.5 points for each visit: 50+12.5x=#

Nachelle need at least 170 points: 50+12.5x=170

Subtract 50 from both sides: 50-50+12.5x=170-50

50-50 cancel out so now your left with 12.5x=170-50

Subtract the 170 and 50: 12.5x=120

Divide 12.5 from both sides: 12.5x÷12.5=120÷12.5

12.5x÷12.5 cancel out so the inequality is now x=120÷12.5

Divide 120 and 12.5: x=9.6

Since there is no such thing as 9.6 visits, round to 10.

The relation represented by the ordered pair is not a function

The given parameter is represented as

{(-2, 4), (-1, 3), (0, 2), (-2, 0), (1, 1)}

As a general rule;

For a relation to be considered a function, the following must be true:

One x value must not point to several y values

Using the above as a guide, the ordered pair in the relation are not functions

This is because one x value must not point to several y values

Hence, (d) the ordered pair is not a function

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Answer:

2

Step-by-step explanation:

we can try 2 to distribute since 18 divided by 9 is 2

2(4x+9)

2(4x)+2(9)

8x+18

Hopes this helps please mark brainliest

Answer: x = 1/2 , -3/2

Step-by-step explanation:

Use the quadratic formula:

a=4

b=4

c=-3

x= -4 +- sqrt16-4(4)(-3) / 8

= -4 +- sqrt16+48 / 8

= -4 +- sqrt64 / 8

= -4 +- 8 / 8

Split it to (-4 + 8) / 8 and (-4 - 8) / 8

4/8 and -12/8 = 1/2 and -3/2

Answer:

Step-by-step explanation:

See the attached image

Answer: Gradient is 3 and y-intercept is 15

Step-by-step explanation:

by rearranging the equation so y is on 1 side we get:

y = 3x + 15

the gradient is the number before the x (coefficient)

the y intercept is the number that is not multiplied by the x, in this case 15

Check the picture below.

notice the point, reflected over the x-axis and then shifted upwards, notice the parabola mentioned above, nowhere near it.

Answer:

$20400

Step-by-step explanation:

8 percent *55000 =

(8:100)*55000 =

(8*55000):100 =

440000:100 = $4400

16000+4400 =$20400

Equation for the translation of y=4/x that has the given asymptotes.

x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]

Given,

In the question:

The translation of y = 4/x  that has asymptotes at x = - 3 and y = - 4.

Write an equation:

Now, According to the question:

What is asymptote?

A line that, in analytical geometry, is an asymptote of a curve is one where, when one or both of the x or y coordinates go to infinity, the distance between the curve and the line approaches zero. An asymptote of a curve is a line that is tangent to the curve at a point at infinity in projective geometry and similar settings.

According to the above statement:

The equation will be :

y = [tex]\frac{4}{x+3} -4[/tex]

Hence, Equation for the translation of y=4/x that has the given asymptotes.

x = -3 and y = -4 is y = [tex]\frac{4}{x+3} -4[/tex]

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Bob is walking at the rate of 6 kilometer per hours

Jack and Bob leave their houses at 10:00 am walking toward each other and they meet at 10.30 am.

The distance between two houses = 7 kilometer

The speed of the Jack = 8 kilometer per hour

The distance traveled by Jack in 30 minutes = 8 / 2

= 4 kilometer

The remaining distance = 7 - 4

= 3 kilometer

Bob traveled 3 kilometers in 30 minutes

Then the speed of the Bob = 3 × 2

= 6 kilometer per hour

Hence, the Bob is walking at the rate of 6 kilometer per hours

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