The graph shows g(x), which is a transformation of f(x)= 1x1. Write the function rule for
g(x).

In linear equation, If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.

What in mathematics is a linear equation?

To describe the cost of attending n events, create an equation using function notation.

A 10 dollar entrance fee is required each time, and a further 2 dollars must be paid for each unique exhibit that a visitor chooses to visit.

The function, which would depend on n events, is

If the person doesn't attend any events, n = 0, and the price stays at 10, therefore f(n) = 10 + 2n.

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Answer:

2[tex]\sqrt{3}[/tex]

Step-by-step explanation:

[tex]\frac{6}{\sqrt{3} }[/tex]  They do not want a radical in the denominator.  So you need to multiple the numerators and the denominator by [tex]\sqrt{3}[/tex]

[tex]\frac{6}{\sqrt{3} }[/tex]  x  [tex]\frac{\sqrt{3} }{\sqrt{3} }[/tex]  = [tex]\frac{6\sqrt{3} }{3}[/tex] = 2[tex]\sqrt{3}[/tex]

[tex] \frac{6}{ \sqrt{3} } \times \frac{ \sqrt{3} }{ \sqrt{3} } = \frac{6 \sqrt{3} }{3} = 2 \sqrt{3} [/tex]

hope it will work

1. There will be $102, 826 in the account in 25 years.

2. The total amount of money you will put into the account is $60, 000

3. The total interest that you would have earned is $42,826.

For us to calculate the future value of the account in 25 years, we shoud use the formula; FV = P x (((1 + r)^nt - 1) / r)

When we insert the values, it will be

FV = 200 x (((1 + 0.04/12)^(12 x 25) - 1) / (0.04/12))

= 102, 825. 9. If we round this up, we should get

$102, 826

For us to calculate the total amount of money you put into the account, we should us the formula;

Total Deposits = Monthly Deposit x Number of Months

If we insert the values it wil be

200 x (25 x 12)

60,000

Lasty, if we are to find the total interest earned:

Total Interest = Future Value - Total Deposits

$102, 826 - 60,000

=  $42,826

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The total distance of the trip is 50 miles

From the question, we have the following parameters

Distance completed = 40%

Distance travelled = 20 miles

Represent the total distance with x

So, we have the following equation

Distance travelled = Distance completed  *Total distance

This gives

Distance travelled = Distance completed  * x

So, we have

20 miles = 40% * x

Divide both sides by 40%

x = 50 miles

Hence. the length of the trip is 50 miles

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Answer:

Step-by-step explanation: f(x) =2-5x

2-5(-2)=12

2-5(-1)=7

2-5(0)=2

2-5(1)= -3

2-5(2)-8

I hope this helps. All you have to do is plug in the numbers in the equation for x and then solve!

In the absence of ATC restriction on climb or descent, and aircraft are within 1,000 feet of assigned altitude. pilots should attempt to both climb and descend at a rate of between 500 fpm and 15000 fpm. (Option A)

An Air Traffic Controller (ATC) clearance refers to an authorization by ATC for the purpose of preventing known aircraft collision. The rate of climb or descend expected by ATV is when an aircraft is within 1000 feet of assigned altitude, descend, or climb at an optimum rate consistent with the operating characteristics of the aircraft to 1,000 feet above or below the assigned altitude, and then attempt to descend or climb at a rate of between 500 and 1,500 fpm until the assigned altitude is reached.

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Answer: 4 gallons

Step-by-step explanation:

The boat can travel 228 miles on 19 gallons of gasoline. We can divide 228 by 19 to find out how many miles the boat can travel on 1 gallon of gasoline, which is 12. For the boat to go 48 miles, we can divide 48 by 12 to get the answer, which is 4. The boat can travel 48 miles with 4 gallons of gasoline.

Answer:

I think it's 4 on the left and 5 on the right side

Step-by-step explanation:

4*4*4=64

and

5*5*5=125

Answer:

A: A unique triangle

B: A unique triangle

C: More than a triangle

Answer:

7.3units

Step-by-step explanation:

[tex] \sqrt{(x2 - x1) {}^{2} + (y2 -y1) {}^{2} } [/tex]

[tex] \sqrt{ (- 1 - 6) { \\ }^{2} + (14 - 16) {}^{2} } [/tex]

[tex] = 7.3[/tex]

a) (2, -2)

answer: the ordered pair is not a solution of the given system

b) ( -1, 5)

answer: the ordered pair is a solution of the given system

Answer:

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

The total deposit over 12 weeks:

Equation in general form:

The total cost of fencing the garden will be 3x+200 where x is the perimeter of garden that is variable according to the length and breadth of the garden.

Distance is measured in length. Length has the dimension of distance in the International System of Quantities. The majority of measurement systems choose a base unit for length from which all other units are derived. The metre serves as the foundational unit of length in the International System of Units.

A closed path that encompasses, encircles, or outlines a one-dimensional length or a two-dimensional shape is called a perimeter. A circle's or an ellipse's circumference is referred to as its perimeter. There are numerous uses in real life for perimeter calculations.

Here,

Let x be the perimeter to be fenced.

the cost is 3 rupees per meter.

so the equation will be= 3x+200

The total cost of fencing the garden will be 3x+200, where x is the garden's perimeter and is dependent on the garden's length and width.

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Answer:

92

Step-by-step explanation:

  1

 46

x  2

 92

The length of the diagonal of the Triangle is 14.86 units

What is Diagonal?

When two polygonal vertices are not on the same edge, a diagonal is a line segment connecting them. Any sloping line is known as a diagonal informally.

Given,

Area of Rectangle = 110square units

Length = 11units

Breadth = ?

Area of Rectangle = length x breadth

Breadth = Area of Rectangle / length

Breadth = 110 / 11

Breadth = 10units

Length of diagonal (Pythagoras Theorem)

H^2 = P^2 + B^2

H^2 = (11)^2 + (10)^2

H^2 = 121 + 100

H^2 = 221

H = [tex]\sqrt{221}[/tex]

H = 14.86 units

Hence, The length of its diagonal is 14.86 units

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Answer:

Step-by-step explanation:

Find the number that makes the ratio equivalent to 3:5

6:10

9:15

12:20

The restaurant salesman will pay a commission of $1,052

Commission is the amount of money that is paid to a worker when a work is completed.

The commission rate of the total sales is 4%

= 4/100

= 0.04

The total sales for the week is $26,300

The commission that will be paid can be calculated as follows

= 26,300 × 0.04

= 1.052

Hence the amount of commission that will be paid is $1,052

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The pre-tax subtotal was $171.00.

An equation is an expression that shows the relationship between two or more numbers and variables.

Given that:

After-tax total = $1,656.99

Tax rate in the area = 8.396%

The pre-tax price would be 100% and this tax rate is an addition.

Total percent = (100+8.396)% = 108.3%

Consider x be the pre-tax amount.

The total bill=  (after-tax total) = (pre-tax subtotal) + 8.3% · (pre-tax subtotal)

 (after-tax total) = (pre-tax subtotal) 108.3

Divide by the coefficient on the right;

 (pre-tax subtotal) = (after-tax total)/108.3

= $1,656.99/108.3

= $171.00

Therefore, The pre-tax subtotal was $171.00.

The pre-tax amount was $130.

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The amount of water left in the bathroom is 0.93 gallons

From the question, the given parameters are:

The amount of water left is the difference between the total amount of water in the bathroom  and the amount of eater drained out

This is represenetd as

Amount left = Total amount of water in the bathroom - Amount of eater drained out

Substitute the known values in the above equation

Amount left = 7.2 - 6.27

Evaluate

Amount left = 0.93

Hence, the amount left is 0.93 gallons

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The required measure of the volume of water left in the bathtub is 0.93 gallons.

As per the given data, There were 7.2 gallons of water in Sandra's bathtub. Then 6.27 gallons drained out. How much water is left in the bathtub is to be determined.

Here,
According to the question, the water left after the 6.27 gallons of draining out can be evaluated by the arithmetic subtraction of the initial volume to the volume that drained out, that is,
The volume of water left in the tub  = 7.2 - 6.27 = 0.93.

Thus, the required measure of the volume of water left in the bathtub is 0.93 gallons.

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The unknown value from the given linear expression is 1/4

Ax+By=C is the usual form for two-variable linear equations. A standard form linear equation is, for instance, 2x+3y=5.

When an equation is given in this format, finding both intercepts is rather simple (x and y).

Given the equation below;

6 = 12k * 2

6 = 24k

Divide both sides by 24

24k = 6

k = 6/24

k = 1/4

Hence the value of k from the given expression is 1/4

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Answer:

x=172°

Step-by-step explanation:

5x-11=3x-5

2x-11=5

2x=16

x=8

180-8=172

Take into account that the slope of a line is given by the following formula:

where (x1,y1) and (x2,y2) are two points on the line.

In this case:

(x1,y1) = (p,3)

(x2,y2) = (6,p)

By replacing the previous values into the formula for m, we get:

Now, by making m = 2 and solving for p, we obtain:

Hence, the value of p is p = 5

Answer: y = -4 + x/2

Step-by-step explanation:

Answer:x-intercepts (5,0)

y-intercepts (0,-5)

Step-by-step explanation: To find the x-intercept substitute in 0 for y and solve for x. to find the y-intercept subsitute 0 for x and solve for y

Answer:B

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Given that April has 30 days, Luke used, on average, 20.05 kilowatt-hours of electricity per day during April.

The average is the mean value obtained by dividing the total value of a data set by the number of items.

In this situation, we can divide the total electric bill for April by 30 to obtain the average daily charge.

In addition, we can divide the average charge per day by the cost per kilowatt-hour to obtain the number of kilowatt-hours used per day.

The total electric bill for April = $84.21

The charge per kilowatt-hour (kWh) = $0.14

The number of days in April = 30

The bill per day = $2.807 ($84.21/30)

The kilowatt-hours per day = 20.05 kWh ($2.807/$0.14)

Thus, Luke used an average of 20.05 kilowatt-hours per day in April.

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The equation of the line is y = x - 8 which passes through the point  (13,5) with slope 1.

We have to determine the equation of a line that passes through the point (13,5) with slope 1.

The slope of a line is defined as the angle of the line. It is denoted by m

Slope m = (y₂ - y₁)/(x₂ -x₁ )

Let the required line would be as

⇒ y - y₁ = m (x - x₁ )

The required line passes through the point (13, 5)

Here x₁ = 13 and y₁ = 5 and m = 1

Substituting these inputs into the above equation obtains the line equation.

⇒ y - 5 = (1)(x - 13)

⇒ y - 5 = (x - 13)

⇒ y = x - 13 + 5

⇒ y = x - 8

Thus, the equation of the line is y = x - 8 which passes through the point (13,5) with slope 1.

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