6+x3=1
What is the solution to the equation?


x=−21

x=−5

x = 21

x=−15

Answer:

the slope of the line passing through (4, 4)  and (9, 1)   is:

Slope = -3/5

Step-by-step explanation:

Given the points on the graph

Here:

(x₁, y₁) = (4, 4)

(x₂, y₂) = (9, 1)

Using the formula

Slope = m =  [y₂ - y₁] /  [x₂ - x₁]

               =  [1 - 4] / [9 - 4]

               = -3 / 5

Thus, the slope of the line passing through (4, 4)  and (9, 1)   is:

Slope = -3/5

Answer:

See below ~

Step-by-step explanation:

Intervals over which the function is continuous :

Left line :

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

Central line

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

Right line :

center E and scale factor of 1/4 (option B)

The two shapes are similar. The ratio of corresponsding sides are equal.

Scale factor = new length/original length

DEFG is the original image

D'E'F'G' is the new image

original length = EF = 2 + 6 = 8

new length = E'F' = 2

Scale factor = 2/8

Scale factor = 1/4

The centre of both shapes is at E

Hence, the answer is center E and scale factor of 1/4 (option B)

Answer: A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

Step-by-step explanation:

To calculate the costs for carpeting, wallpapering, painting, and the overall cost of the project, we need to determine the areas that need to be covered and the corresponding prices for each material.

Given dimensions:

Room length: 26 feet

Room width: 18 feet

Room height: 9 feet

Door dimensions:

Height: 6 feet 6 inches

Width: 4 feet

Window dimensions (each):

Width: 2 feet

Height: 2 feet 6 inches

A: Carpeting the floor:

To find the area of the floor, we multiply the length and width of the room:

Floor area = Length × Width = 26 feet × 18 feet = 468 square feet.

To convert to square yards (since the carpet is sold per square yard), we divide by 9:

Floor area in square yards = 468 square feet / 9 = 52 square yards.

Cost to carpet the floor = Floor area in square yards × Cost per square yard = 52 square yards × $18.00 = $936.00.

B: Wallpapering the walls:

To find the area of the walls, we calculate the perimeter of the room (2 × (Length + Width)) and multiply it by the height of the room:

Wall area = Perimeter × Height = 2 × (26 feet + 18 feet) × 9 feet = 396 square feet.

Cost to wallpaper the walls = Wall area × Cost per square foot = 396 square feet × $0.75 = $297.00.

C: Painting the ceiling:

To find the area of the ceiling, we multiply the length and width of the room:

Ceiling area = Length × Width = 26 feet × 18 feet = 468 square feet.

Since a quart of paint covers 88 square feet, we need to determine the number of quarts required:

Number of quarts = Ceiling area / Coverage per quart = 468 square feet / 88 square feet = 5.32 quarts.

Since a gallon contains 4 quarts, the number of gallons required is 5.32 quarts / 4 quarts = 1.33 gallons.

Cost to paint the ceiling = Number of gallons × Cost per gallon = 1.33 gallons × $25.00 = $33.25.

D: Cost of the entire project:

Total cost = Cost to carpet the floor + Cost to wallpaper the walls + Cost to paint the ceiling

= $936.00 + $297.00 + $33.25 = $1266.25.

Therefore:

A: It will cost $936.00 to carpet the floor.

B: It will cost $297.00 to wallpaper all four walls.

C: It will cost $33.25 to paint the ceiling.

D: The cost of the entire project will be $1266.25.

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Answer:

d

Step-by-step explanation:

The as the value of x increases, f and g both approach positive infinity.

Functions describe relationship between set of variables.

g(x) = 2ˣ - 5

As the values of x increases, the value of g increases to positive infinite.

From the given table of function f, as the value of x increases, f approaches positive infinity.

Thus, the as the value of x increases, f and g both approach positive infinity.

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Answer:

the answer is b, 0.956 :)

Answer:

18x

Step-by-step explanation:

The relation is a function in the first graph.

How to check which relation is function in given graph?

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Answer:

46

Step-by-step explanation:

your add odd number 1,3,5,7,9,11,13...

If water flows into the container at a constant rate of 6 cubic feet per minute, the rate at which the water level rising when the height of the water is 5 feet is; 0.688 ft/min

When we are given an equation that gives the relationship between two or more variables, then by differentiating the equation with respect to time would give us a new equation that involves the rate of change of each of the given variables.

We are given the dimensions of the tank as;

Radius; r = 4 feet

Height; h = 12 feet.

The water in the tank will also have a conical shape.

By similar triangles, we know that;

r/h = 4/12

r = h/3

Now the volume of the water is;

V = ¹/₃πr²h

Put h/3 for r in this volume equation to get;

V = ¹/₃π(h/3)²h

V = (1/27)πh³

Differentiating with respect to time gives;

dV/dt = (3/27)πh²(dh/dt)

We are given;

dV/dt = 6 cubic feet per minute

h = 5

Thus;

6 = (3/27)π(5²)(dh/dt)

dh/dt = 0.688 ft/min

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The system of inequalities represents this solution is:

6c + 7.5d ≥ 75

d + c ≤ 15.

A statement of an order relationship, greater than or equal to, less than, less than or equal to- between two numbers or algebraic equations.

Now it is given that,

Money from walking neighbor's dog = $6 per hour

Money from car wash = $7.5 per hour

Total Number of hours of work not more than 15 hours

Now, if d represents the number of hours walking his neighbor's dog and c represents the number of hours washing car

So, money from walking neighbor's dog = 6c

and money from car wash = 7.5d

Therefore total money saved = 6c + 7.5d

∵ Total Number of hours of work is not more than 15 hours

⇒ d + c ≤ 15

∵ Tom needs to make at least $75 to cover prom expenses

⇒ 6c + 7.5d ≥ 75

The system of inequalities represents this solution is:

6c + 7.5d ≥ 75 ;

d + c ≤ 15.

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The complete question is as follows:

To save money for prom this weekend, Tom is going to walk his neighbor's dog for $6 per hour and wash cars for $7.50 per hour. His mother said he can work no more than 15 hours to ensure he keeps up with his homework. Tom needs to make at least $75 to cover prom expenses. If d represents the number of hours walking his neighbor's dog and c represents the number of hours washing cars, which system of inequalities represents this solution?

Answer:

20

9+6+5= 20 maybe five u x it then u get 270!?!!!!!!

Answer:

2(6y+7)

Explanation:

To factor the expression:

First, find the greatest whole number that divides 12 and 14.

The number = 2, therefore:

Based on the information, the answer is A). While wages have increased, spending power has mostly remained the same since 2000.

The fact that the cost of living has also increased, eating up much of the gains from wage growth. In addition, many Americans are now working multiple jobs, which can leave them with less time and energy to spend money on discretionary items.

According to the Bureau of Labor Statistics, the average hourly wage for all workers in the United States increased by 16.3% between 2000 and 2021. However, the Consumer Price Index (CPI), which measures the cost of a basket of goods and services, increased by 26.5% over the same period. This means that the purchasing power of the average worker has actually declined by 10.2% since 2000.

The rise of the gig economy has also contributed to the decline in spending power. Many Americans are now working multiple jobs, often in low-wage industries such as food service and retail.

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While wages have increased, spending power

a)has mostly remained the same since 2000

b) as wages go up, so does spending power

c) the spending power of men is less than the spending power of the overall population

d) the wages of women have increased faster than the wages of men

Answer:

-4x+4+5x-7= x-3

Step-by-step explanation:

Answer:

What is -4X+4+5x-7 simplified?

Step-by-step explanation:

1) subtract the numbers*

4+4+5−7

4−3+5

2)

Rearrange the terms

4 − 3 + 5

4 + 5 − 3

Solution: 4 + 5 − 3

Answer:

B y= 2/5x

Step-by-step explanation:

If y is red balloons and there are 2 red for every 5 balloons, multiplying 2/5 by the total number of balloons gives you how many red balloons you have

The equation to represent the relationship is a = \(\frac{3}{4}\) b.

What is proportion?

A percentage is created when two ratios are equal to one another. We write proportions to construct equivalent ratios and to resolve unclear values. a comparison of two integers and their proportions. According to the law of proportion, two sets of given numbers are said to be directly proportional to one another if they grow or shrink in the same ratio.

Here the given two quantities in proportional relationship . Then,

=> a∝ b

=> a=kb

Where k is constant. Then, put a=-3 and b=-4 rhen,

=> -3=-4k

=> k = 3/4

Then the equation is ,

=> a = \(\frac{3}{4}\) b.

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Answer:

150 in

Step-by-step explanation:

a. The speed limit is mg/c.This limit is the speed of the object as it falls, i.e., the object’s terminal velocity.

b. In a vacuum, the velocity (v) = gt, and the velocity of the falling object is directly proportional to the time for which it has been falling. That is, in a vacuum, the object’s speed continues to increase without bounds.

a. If an object with mass m is dropped from rest, one model for its speed v after t seconds, taking air resistance into account, is

v = mg/c (1 − \(e^{-ct/m}\))

where g is the acceleration due to gravity and c is the positive constant proportionally relating the air resistance to the speed.

\(\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\mathrm{e}^{-c t / m}\right)\)

\(=\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\frac{1}{\mathrm{e}^{c t / m}}\right)\)

and  \($t \rightarrow \infty, \frac{1}{\mathrm{e}^{c t / m}} \rightarrow \infty$\) since both c and m are positive entities, so

= mg/c(1 - 0)

= mg/c

This limit is the speed of the object as it falls, i.e., the object’s terminal velocity

b. Here, as c → 0+, the effect of air resistance is approaching zero, so the object falls as if in a vacuum.

\(\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\mathrm{e}^{-c t / m}\right)\)

\(=\lim _{t \rightarrow \infty} \frac{m g}{c}\left(1-\frac{1}{\mathrm{e}^{c t / m}}\right)\)

as c → 0+, e−ct/m → 1, so

\(=\frac{m g}{c}\lim _{t \rightarrow 0^{+} } \left(\frac{1 - {e}^{-c t / m}}{c}\right)\)    tends to 0

Hence, applying l’Hospital’s Rule with respect to c, we get,

\(=\frac{m g}{c}\lim _{t \rightarrow 0^{+} } \left(\frac{0 - {e}^{-c t / m}(\frac{-t}{m} )}{1}\right)\)

= mg (t/m)

= gt

Thus, in a vacuum, v = gt, and the velocity of the falling object is directly proportional to the time for which it has been falling. That is, in a vacuum, the object’s speed continues to increase without bounds.

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Answer:

Step-by-step explanation:

Quadratic means squared equation so

the first one is your answer.

y= 4x²

Answer:

True

Step-by-step explanation:

It passes the vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point

this means that for every input (x value) there is only one output (y value)

Yes, The graph represents a function.

A relation between a set of inputs having one output each is called a function. and an expression, rule, or law that defines a relationship between one variable (the independent variable) and another variable (the dependent variable).

We have to show a graph.

Now, We know that;

The vertical line test, meaning you can draw a vertical line anywhere on the graph and it will only intersect at one point, then  it represent a function.

Here, The graph satisfy vertical line test, this means that for every input (x value) there is only one output (y value).

Thus, The graph represents a function.

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Answer:

-x + y = - 2

Step-by-step explanation:

Standard Form of the Line

The equation of a line can be written in standard form:

Ax + By = C

To find the values of A, B, and C, we must use the point-slope form:

y - k = m(x - h)

Where m is the slope and (h,k) is one point where the line passes through.

Let's calculate the slope by using the given points (3,1) and (0,-2):

\(\displaystyle m=\frac{y_2-y_1}{x_2-x_1}\)

\(\displaystyle m=\frac{-2-1}{0-3}=1\)

Now find the equation by using the point (0,-2):

y + 2 = 1(x - 0)

y = x - 2

Subtracting x:

- x + y = - 2

Answer:

50 degrees

Step-by-step explanation:

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

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

Let f(n) represent the total cost of shoe rentals for n games, hence:

The recursive formula for f(n) is f(n) = 4.25 + f(n - 1), f(0) = 2.25.

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