A rectangle on a coordinate plane is translated 5 units up and 3 units to the left. Which rule describes the translation?

(x, y) → (x + 5, y – 3)
(x, y) → (x + 5, y + 3)
(x, y) → (x – 3, y + 5)
(x, y) → (x + 3, y + 5)

Answer:

x ≥ -7

Step-by-step explanation:

greater than or equal to ≥

x ≥ -7

Answer:

5.52%

Step-by-step explanation:

there is a 5.52% chance of it not improving you do 69% of 8 and that determines if its not gonna get better.

Answer:

B) a local beach.

At a local beach, you might find quiet a few different perspective from people who like or don't like swimming, whether going to a swimsuit store, you most likely will find people buying the swimsuit because they enjoy it, and plan on swimming in it.

Step-by-step explanation:

Hope it helps! =D

Answer:

Step-by-step explanation:

So to set this up:

If your new assignment is worth 20% of your grade, then that means that everything else (that you have 100% in) is now worth 80% of your grade.

So now your grade would be described as the following:

80 + some fraction of 20

Which if you get 17% of that 20, is described in the following equation:

20 × .17 = 3.4

So of the 20 points, you've only earned 3.4, so that would make your cumulative grade an 83.4.

To have maintained an A (- or + is irrelevant) you would have needed to score at least 50% on that assignment.

The unit rate of the relationship will be 10/3. The correct option is C.

The given equation is,

y = 10/3x + 8

The general form of an equation of the line is,

y = mx +  c

here, the slope will be 10/3

Slope refers to the steepness or incline of a line on a graph. It is a measure of how much the dependent variable changes for a given change in the independent variable.

The slope of a line is represented by the ratio of the change in the y-axis (vertical) to the change in the x-axis (horizontal) between any two points on the line. It can also be interpreted as the rate of change of the dependent variable with respect to the independent variable.

A positive slope indicates an upward trend, while a negative slope indicates a downward trend. The slope of a line is often denoted by the letter m.

The unit relationship will be 10/3.

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Hello!

surface area

= 2(4 x 2) + 2(12 x 4) + 2(12 x 2)

= 160cm²

The impact on Carns Company's income from eliminating the Small Tools Division would be a decrease of $1,209,000.

To determine the impact on Carns Company's income from eliminating the Small Tools Division, we need to consider the avoidable costs associated with the division.

The avoidable costs include all of the variable costs of the division and a portion of the fixed costs that are specifically related to the Small Tools Division. In this case, the variable costs of the division are $1,295,000, and $119,000 of the fixed costs are avoidable.

To calculate the impact on income, we subtract the avoidable costs from the loss reported by the division:

Impact on income = Loss - Avoidable costs

Impact on income = $205,000 - ($1,295,000 + $119,000)

Impact on income = $205,000 - $1,414,000

Impact on income = -$1,209,000

The negative sign indicates a decrease in income.

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Answer:

Below

Step-by-step explanation:

32/2 x 100% = 1600 %

Answer:

294.02

Step-by-step explanation:

The sum of the numbers would mean that we have to line up the decimal places.

  14.32

 + 1.65

+278.05

Equals 294.02(just add the numbers in each column)

Answer:

Step-by-step explanation:

Sum:

Difference:

I hope this helps!

c.) 1/2³ i got it right on assignment

Answer:

none , its 2  2/5

Step-by-step explanation:

Answer:

3

Step-by-step explanation:

it will be 3 because 4 3/5`s is 2 and 2/5 and 3 3/5`s is 1 and 4/5 hope that helped your question.

Mr. Jones in Johannesburg is billed R9,767.12 and Ms. Brown in Cape Town is billed R680.24 for their respective properties.

From the provided information for Cape Town's sanitation tariffs:

0-4.2 kl: R16.03 per kl

Since 4.1 ke is equivalent to 4100 liters, which is less than 4.2 kl, we can use the tariff rate for the 0-4.2 kl range.

Cost for 4.1 ke of sanitation

= 4.1 ke x R16.03 per kl

= 4100 liters x R16.03 per kl

= R65.83

For Mr. Jones and Ms. Brown, who own properties with an area of 550 m² each and were billed for 22 kl of sanitation.

we need to determine the applicable tariff rate based on the property size and calculate the cost.

In Johannesburg, based on the provided information, the tariff rate for properties larger than 300 m² to 1,000 m² is R443.96.

Cost of sanitation for Mr. Jones in Johannesburg:

= 22 kl x R443.96 per kl

= R9,767.12

Cost of sanitation for Ms. Brown in Cape Town:

= 22 kl x R30.92 per kl = R680.24

Therefore, Mr. Jones in Johannesburg is billed R9,767.12 and Ms. Brown in Cape Town is billed R680.24 for their respective properties.

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Answer:

4

Step-by-step explanation:

3x-2=10

3x=10+2

3x/3=12/3

x=4

Answer:

3. All you did was switch the numbers, so it will still equal the same :)

4. 8a and the other 8a cancel each other out, so since 8 has no variables, it ends up by itself.

Step-by-step explanation:

Given Question

Complete the following tables and plot the points on the graph paper yo represents the equations given below :-

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ \)

and

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf & \sf & \sf \\ \\ \sf (x,y)& \sf & \sf & \sf \\ \end{array}} \\ \end{gathered} \\ \)

\(\large\underline{\sf{Solution-}}\)

Given that,

\(\rm \longmapsto\:y = x + 1\)

On substituting x = 1, we get

\(\rm \longmapsto\:y = 1 + 1\)

\(\rm \longmapsto\:y = 2\)

On substituting x = 2, we get

\(\rm \longmapsto\:y = 2 + 1\)

\(\rm \longmapsto\:y = 3\)

On substituting x = 3, we get

\(\rm \longmapsto\:y = 3 + 1\)

\(\rm \longmapsto\:y = 4\)

Hence,

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = x + 1 & \sf 2 & \sf 3 & \sf 4\\ \\ \sf (x,y)& \sf (1,2) & \sf (2,3) & \sf (3,4)\\ \end{array}} \\ \end{gathered}\)

Now, draw a graph using the points (1 , 2), (2 , 3) & (3 , 4)

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

Given equation is

\(\rm \longmapsto\:y = - 3x\)

On substituting x = 1, we get

\(\rm \longmapsto\:y = - 3 \times 1\)

\(\rm \longmapsto\:y = - 3\)

On substituting x = 2, we get

\(\rm \longmapsto\:y = - 3 \times 2\)

\(\rm \longmapsto\:y = - 6\)

On substituting x = 3, we get

\(\rm \longmapsto\:y = - 3 \times 3\)

\(\rm \longmapsto\:y = - 9\)

Hence,

\(\begin{gathered}\boxed{\begin{array}{c|c|c|c} \bf x & \bf 1 & \bf 2& \bf 3\\ \frac{\qquad}{} & \frac{\qquad}{}\frac{\qquad}{} &\frac{\qquad}{} & \frac{\qquad}{} &\\ \sf y = - 3x & \sf - 3 & \sf - 6 & \sf - 9\\ \\ \sf (x,y)& \sf (1, - 3) & \sf (2, - 6) & \sf (3, - 9)\\ \end{array}} \\ \end{gathered}\)

Now, draw a graph using the points (1 , - 3), (2 , - 6) & (3 , - 9)

Area and circumference of the circle are 78.5 m² and 31.4 m respectively.

A circle is a shape consisting of all points in a plane that are at a given distance from a given point, the centre.

Given that, a circle have a radius 5 m

Area of a circle = π × radius²

Circumference = 2π×radius

Area = 3.14 × 5² = 3.14 × 25 = 78.5 m²

Circumference = 3,14 × 2 × 5 = 31.4 m

Hence, area and circumference of the circle are 78.5 m² and 31.4 m respectively.

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Step-by-step explanation:

it is like a regular addition of numbers. you add the different positions.

3x + 7x = 10x

-y + y = 0

-5 + 15 = 10

so, D. is the right answer : 10x = 10

Answer:

cos B = 9/41

tan B = 40/9

sin B = 40/41

Step-by-step explanation:

There is no picture, so I am making a few assumptions.

I am assuming that angle C is the right angle and is opposite 41.

I am also assuming that angle B is formed by the sides that measure 9 and 41. The hypotenuse is 41.

For angle B, the adjacent leg is 9, and the opposite leg is 40.

cos B = adj/hyp = 9/41

tan B = opp/adj = 40/9

sin B = opp/hyp = 40/41

Answer:

  -4

Step-by-step explanation:

You want the value of (f·g)(-1) when f(x) = x² +3x and g(x) = 2x².

The product of the functions is the product of their values for each value of x.

  (f·g)(-1) = f(-1)·g(-1) = ((-1)² +3(-1)) × (2(-1)²) = (1-3)(2·1) = (-2)(2)

  (f·g)(-1) = -4

Answer:

b) 3770m2

Step-by-step explanation:

its what i got semi closest to that answer. sorry if you get it wrong.

The distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

Simply multiplying the distance between two points while travelling from one location to another and back will give you the total distance travelled when travelling from one location to another and returning to the starting point.

The distance from frank's house to john's house = 4/10.

The distance back to Frank's house = 4/10.

Total distance = 4/10 + 4/10

Total distance = 8/10

The distance is thus,

1 - 8/10

Take the LCM:

(10 - 8) / 10

2/10 = 1/5

Hence, the distance from frank's house to john's house and then back to frank's house is less than a mile by 1/5 units.

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The area of the shaded sector of the circle is 7.27 m^2

The area of a circle is the amount of two-dimensional space taken up by the circle. It can be calculated by using the formula A = πr2, where A is the area, π is 3.14, and r is the radius of the circle. The radius is the distance from the center of the circle to any point on the circle. The diameter of a circle, which is the distance from one side to the other, is twice the radius. Therefore, the area of a circle can also be calculated by using the formula A = πd2/4, where d is the diameter of the circle.

The area of the shaded sector of the circle is 7.27 m^2.

This can be calculated using the formula A = (π/180) x r^2 x θ, where r is the radius (18 m in this case), and θ is the angle in degrees (110° in this case).

Therefore, A = (π/180) x (18^2 x 110) = 7.27 m^2.

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The x-intercepts of the quadratic function y = x² + 2x - 15 are:

a. (-5, 0) and (3, 0).

The graph is sketched at the end of the answer;

A quadratic function is given according to the following rule:

y = ax² + bx + c

The solutions are:

In which:

\(\Delta = b^2 - 4ac\)

In this problem, the function is:

y = x² + 2x - 15.

The coefficients are:

a = 1, b = 2, c = -15.

Hence:

Hence the x-intercepts are:

a. (-5, 0) and (3, 0).

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Answer:

7.9

Step-by-step explanation:

5.8+2.1=7.9

Answer:

(-1.5, 0.5)

Step-by-step explanation:

x = -1.5

y = 0.5

(-1.5, 0.5)

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

To draw a model showing what percent of 500 lanterns Ms. Duda's class hangs before lunch, we can use a rectangular bar model.

Draw a rectangular bar to represent the total number of lanterns, which is 500. Label it as "Total Lanterns."

Divide the rectangular bar into two parts. One part should represent the number of lanterns hung before lunch, which is 100. Label this section as "Lanterns Before Lunch."

Calculate the percentage of lanterns hung before lunch by dividing the number of lanterns hung before lunch by the total number of lanterns and multiplying by 100. In this case, (100/500) * 100 = 20%.

Draw an arrow pointing to the "Lanterns Before Lunch" section, and write "20%" next to it to represent the percentage.

The model should visually represent that Ms. Duda's class hung 100 lanterns before lunch, which is 20% of the total 500 lanterns.

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