Solve the system using elimination.4x+10y=323x-10y=-11The solution is ______  

Step-by-step explanation:−

x

2

−

4

x

−

1

=

0

All tables that represent proportional relationship between x and y are:

B. table B.

E. table E.

In Mathematics and Geometry, a proportional relationship is a type of relationship that produces equivalent ratios and it can be modeled or represented by the following mathematical equation:

y = kx

Where:

Next, we would determine the constant of proportionality (k) by using various data points as follows:

Constant of proportionality, k = y/x

Constant of proportionality, k = (20 - 15)/(10 - 5) = (5 - 4)/(1 - 0)

Constant of proportionality, k = 1.

Therefore, the required linear equation is given by;

y = kx

y = x

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Missing information:

The question is incomplete and the complete question is shown in the attached picture.

Answer:

20 percent

Step-by-step explanation:

(I had such a good explanation and accidentally refreshed the page)

So basics

48/60 is in

12/60 is out

Now we focus on out

we know this 12/60 becuase 48 is in and there are 60 tries so 60-48=12

So now 12/60 into a percent

A percent is basically x/100

So we gotta make 12/60 into a fraction with a denominator of 100

SO simplify fto make it easier (try to get it to 4,2,5,10,50,25 anything that goes into 100)

1/5

1/5 is 20 percent

thats a benchmark

But if you don’t know

You can always do a pro proton

1/5=x/100

Cross multiply

100=5x

x=20

Answer:

y=-2/7x+1/7

Step-by-step explanation:

Find the slope first

-1-1/4+3

-2/7

m=-2/7

y=-2/7x+b

1=-2/7(-3)+b

b=1/7

Answer:

6.8333333333 or 41/6

Step-by-step explanation:

Answer:

C. 1

Not Negative 1  Just 1

Answer:

its c

Step-by-step explanation:

Answer:

1 3/4

Step-by-step explanation:

The time and electricians it would take the remaining 3 electricians 8 hours to complete the job if one electrician does not report.

More people to do a task means less time it will take.

Less people to do a task means more time it will take.

Thus, they are inversely related.

If x men take y time for a work,

We can define a constant as "Manpower" needed for doing that specific work.

Let we define:

Manpower needed for a work = y + y + y + .. + y = Time per man × count of men

Manpower needed for a work = xy

We are given that;

Number of electricians= 4

Number of hours= 6

Now,

We can use the formula:

workers × time = work

where "workers" is the number of electricians, "time" is the number of hours they work, and "work" is the amount of work done.

In this case, we know that 4 electricians can complete the job in 6 hours. So:

4 × 6 = work

work = 24

This means that the total amount of work required to complete the job is 24 "units".

Now, if one electrician doesn't show up, we have only 3 electricians to do the work. Let's call the time it takes for the 3 electricians to complete the job "t".

So we have:

3 × t = 24

Dividing both sides by 3, we get:

t = 8

Therefore, by work and time answer will be 3 electricians and 8 hours.

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Answer:

3,000,000

Step-by-step explanation:

60,000,000x34%=20,400,000

60,000,000x29%=17,400,000

20,400,000-17,400,000=3,000,000

To find the range, we subtract the smallest value from the largest value:

Range = 31 - 10 = 21

To find the mean, we add up all the values and divide by the total number of values:

Mean = (10 + 21 + 16 + 22 + 31) ÷ 5 = 20

To find the median, we need to arrange the values in order from smallest to largest:

10, 16, 21, 22, 31

The median is the middle value when the values are arranged in order. Since there are an odd number of values, the median is the middle value of the sequence, which is 21.

To find the mode, we need to find the value that occurs most frequently in the sequence. In this case, there is no mode because no value occurs more than once in the sequence.

Ken invested $5,700 in the 6% account, and the other $4,300 in the 4% account.

Let's define the variables:

We know that Ken invested $10,000 in total, so:

x + y = 10,000

And the interest in one year is:

x*0.04 + y*0.06 = 514

Then we have a system of equations:

x + y = 10,000

x*0.04 + y*0.06 = 514

To solve it we start by isolating one of the variables in one of the equations, isolating x we will get:

x = 10,000 - y

Replacing that in the other equation we get:

(10,000 - y)*0.04 + y*0.06 = 514

400 - y*0.04 + y*0.06 = 514

400 + y*0.02 = 514

y = (514 - 400)/0.02 = 5,700

Then Ken invested $5,700 in the 6% account, and the other $4,300 in the 4% account.

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Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

This equation can be factored as:

(2x + 5)(x - 2) = 0

Setting each factor equal to zero, we get:

2x + 5 = 0 => 2x = -5 => x = -5/2

x - 2 = 0 => x = 2

Therefore, the x-intercepts of the graph of f(x) are x = -5/2 and x = 2.

Part B: The vertex of the graph of f(x) can be determined using the formula x = -b/2a, where a and b are the coefficients of the quadratic equation in standard form (ax² + bx + c = 0).

In this case, a = 2 and b = -1. Plugging these values into the formula, we have:

x = -(-1) / (2 * 2) = 1/4

To determine if the vertex is a maximum or a minimum, we can examine the coefficient of the x² term. Since the coefficient a is positive (a = 2), the parabola opens upwards, and the vertex represents a minimum point

Therefore, the vertex of the graph of f(x) is (1/4, f(1/4)), where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Part C: To graph f(x), we can follow these steps:

Plot the x-intercepts: Plot the points (-5/2, 0) and (2, 0) on the x-axis.

Plot the vertex: Plot the point (1/4, f(1/4)) as the vertex, where f(1/4) can be obtained by substituting x = 1/4 into the equation f(x).

Determine the direction of the graph: Since the coefficient of the x² term is positive, the graph opens upwards from the vertex.

Determine additional points: Choose a few x-values on either side of the vertex and calculate their corresponding y-values by substituting them into the equation f(x). Plot these points on the graph.

Draw the graph: Connect the plotted points smoothly, following the shape of the parabola. Ensure the graph is symmetrical with respect to the vertex.

The answers obtained in Part A (x-intercepts) and Part B (vertex) provide crucial points to plot on the graph, helping us determine the shape and position of the parabola.

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The x-intercepts from the graph attached are

The vertex  from the graph attached is

Part A: To find the x-intercepts of the graph of f(x), we set f(x) equal to zero and solve for x:

2x² - x - 10 = 0

x = (-b ± √(b² - 4ac)) / (2a)

a = 2, b = -1, c = -10

Plugging these values into the quadratic formula:

x = (-(-1) ± √((-1)² - 4 * 2 * (-10))) / (2 * 2)

x = (1 ± √(1 + 80)) / 4

x = (1 ± √81) / 4

x = (1 ± 9) / 4

x₁ = (1 + 9) / 4 = 10 / 4 = 2.5

x₂ = (1 - 9) / 4 = -8 / 4 = -2

Therefore, the x-intercepts of the graph of f(x) are 2.5 and -2.

Part B

To find the coordinates of the vertex, we can use the formula:

x = -b / (2a)

x = -(-1) / (2 * 2) = 1 / 4 = 0.25

we substitute this value back into the original function:

f(0.25) = 2(0.25)² - 0.25 - 10

f(0.25) = 0.125 - 0.25 - 10

f(0.25) = -10.125

Therefore, the vertex of the graph of f(x) is located at (0.25, -9.125).

Part C: The steps to graph f(x) include:

Plotting the x-intercepts: Based on the results from Part A, we know that the x-intercepts are 2.5 and -2. We mark these points on the x-axis.

Plotting the vertex: Using the coordinates from Part B, we plot the vertex at (0.25, -9.125). This represents the minimum point of the graph.

Drawing the shape of the graph: Since the coefficient of the x² term is positive, the graph opens upward. From the vertex, the graph will curve upward on both sides.

Additional points and smooth curve: To further sketch the graph, we can choose additional x-values and calculate their corresponding y-values using the equation f(x) = 2x² - x - 10. Plotting these points and connecting them smoothly will give us the shape of the graph.

By using the x-intercepts and vertex obtained in Part A and Part B, we have the necessary information to draw the graph accurately and show the key features of the quadratic function f(x)

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The domain of the graph is, { x | - 3 ≤ x ≤ 5 }

The range of the graph is, {y | 10 ≤ y ≤ 60 }

Mathematical expression is defined as the collection of the numbers variables and functions by using operations like addition, subtraction, multiplication, and division.

We have to given that;

The graph is shown in figure.

We know that;

The domain of the graph is shown on x - axis, and range of the graph is shown y - axis by graph.

Hence, Domain of graph is,

⇒ { x | - 3 ≤ x ≤ 5 }

And, Range of graph is,

⇒ {y | 10 ≤ y ≤ 60 }

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The values of the variables in the expression are as follows:

a = 3

b = 4

c = 3

d = -4

Here, we have,

Expressions in math are mathematical statements that have a minimum of two terms containing numbers or variables, or both, connected by an operator in between.

Let's find the value of the variables in the expression.

(ax + b)(cx - d) = 9x² - 16

acx² - adx + bcx - bd = 9x² - 16

Therefore,

9x² - 16 = (3x + 4) (3x - 4)

Hence,

(ax + b) = (3x + 4)

Therefore,

a = 3

b = 4

(cx - d) = (3x - 4)

cx = 3x

d = -4

Therefore,

c = 3

d = -4

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cmplete question:

What is the value of a ?

What is the value of b ?

What is the value of c ?

What is the value of d ?

Answer:

D

Step-by-step explanation:

the equation of a line in slope- intercept form is

y = mx + c ( m is the slope and c the y- intercept )

y = \(\frac{1}{2}\) x + 3 ← is in slope- intercept form

with slope m = \(\frac{1}{2}\)

• Parallel lines have equal slopes , then

y = \(\frac{1}{2}\) x + c ← is the partial equation

to find c substitute (2, - 4 ) into the partial equation

- 4 = \(\frac{1}{2}\) (2) + c = 1 + c ( subtract 1 from both sides )

- 5 = c

y = \(\frac{1}{2}\) x - 5 ← equation of parallel line

23.45 inches fabric was used on a headband and 9.64 inches fabric was used on a wristband for each player.

No. of players = 29

No. of coaches = 4

Total fabric used for headbands = 773.85 inches

Total no. of people for headbands = 29 + 4

                                                          = 33

Fabric used for headband for 1 person = 773.85/33

                                                                 = 23.45 inches

Total fabric used for wristbands = 279.56 inches

Total no. of people for wristbands = 29

Fabric used for headband for 1 person = 279.56/29

                                                                 = 9.64 inches

Hence, fabric for headband is 23.45 inches and for wristband is 9.64 inches.

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Answer:

infinite

Step-by-step explanation:

Answer: f(x)=2^x+5

Step-by-step explanation:

math

Answer:

0.905

Step-by-step explanation:

7.68 + 3.18 = 10.86 divided by 12 = 0.905

Given:

A line satisfies the given conditions.

x-intercept 8, y-intercept −3

The x-intercept is the value of x when y = 0

The y-intercept is the value of y when x = 0

So, the given line passes through the points (8, 0) and (0, -3)

We will find the slope using the following formula:

Substitute with points:

The slope-intercept form is: y = m * x + b

substitute m = 3/8 and b = -3

So, the answer will be, that the equation of the line is as follows:

Discuss measures that can be taken to develop the spirit of hard work

The cube has 8 vertices. Exercise 21 states that for a polyhedron with V vertices, E edges, and F faces, the following equation holds:

V - E + F = 2

To use this equation to find the number of vertices of a cube with 12 edges and 6 faces, we first need to identify the values of E and F.

A cube has 12 edges, as given in the problem statement, and it has 6 faces since a cube has 6 square faces.

Substituting these values into the equation, we get:

V - 12 + 6 = 2

Simplifying this equation, we have:

V - 6 = 2

Adding 6 to both sides, we get:

V = 8

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Answer:

(-2,2)

Step-by-step explanation:

If you graph the equations (I recommend using desmos) you can see that the points intersect at that point.

Answer:

the answer is $2310

Answer:

90 boxes.

Step-by-step explanation:

5400/60=90

hahahaha wht? lol sry im stupid tbh

Answer:

i think its 12xy but im not for sure

Step-by-step explanation:

The inverse of g(x) is x² + 7

The function is defined as a mathematical expression that defines a relationship between one variable and another variable.

The inverse function is defined as a function obtained by reversing the given function.

To determine the inverse of a function, all you have to do is switch where x and y are and resolve for y.

We have to find the inverse of the function below :

g(x) = √(x-7)

So after switching x and y,

g(x) = y = √(x - 7)

becomes

x = √(y - 7)

Now, we solve for y regularly.

g(x) = y = √(x - 7)

Solve for y :

⇒ y² = x - 7

⇒ x² = y - 7

⇒ y = x² + 7

Therefore the inverse of g(x) is x² + 7

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