Write an equation of the line that passes through the given points.
(-6,8) and (1,0)
The equation is ________. (Type your answer in slope-intercept form.)

Answer:

[tex]\frac{5}{8}[/tex]

Step-by-step explanation:

3 [tex]\frac{3}{8}[/tex] - 2[tex]\frac{6}{8}[/tex]

I can rewrite3 [tex]\frac{3}{8}[/tex]

2 [tex]\frac{8}{8}[/tex] + [tex]\frac{3}{8}[/tex]   ([tex]\frac{8}{8}[/tex] means the same as 1)

2[tex]\frac{11}{8}[/tex] - 2 [tex]\frac{6}{8}[/tex] = [tex]\frac{5}{8}[/tex]

238

14x17, the answer is 238 for your question plus it's an easy one you could've just multiplied and got your answer even from a calculator..

Check the picture below.

a) To calculate the after-tax cost of debt, we first need to calculate the pre-tax cost of debt, which is the coupon interest rate. In this case, the bond has a coupon interest rate of 8%. We then need to multiply this by (1-tax rate) to get the after-tax cost of debt. In this case, the firm is in a 40% tax bracket, so:

After-tax cost of debt = 8% x (1 - 40%) = 4.8%

b) To calculate the cost of preferred stock, we need to know the dividend yield, which is the annual dividend payment per share divided by the price per share. In this case, the preferred stock does not have any dividends, so its cost of capital is 0%.

c) To calculate the cost of new common stock, we need to know the dividend yield, which is the annual dividend payment per share divided by the price per share. We also need to know the rate of growth in dividends. In this case:

Dividend yield = Dividend per share / Price per share

Dividend yield = 7 / 90 = 0.0778

Cost of new common stock = (Dividend per share / Price per share) + (Dividend growth rate)

Cost of new common stock = 0.0778 + 0.06 = 13.78%

d) To calculate the firm's weighted average cost of capital (WACC), we need to use the capital structure weights and the costs of each type of capital. In this case:

WACC = (Weight of debt x After-tax cost of debt) + (Weight of preferred stock x Cost of preferred stock) + (Weight of new common stock x Cost of new common stock)

Note: These weights can be calculated from the proportion of each source of financing in the firm's capital structure.

WACC = (0.354.8%) + (00%) + (0.65*13.78%) = 7.63%.

The firm's weighted average cost of capital using retained earnings and the capital structure weights is 7.63%.

Cost of capital is the minimum rate of return or profit a company must earn before generating value. It's calculated by a business's accounting department to determine financial risk and whether an investment is justified.

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Using the given points, Observing the values at x=0, We get y-intercept = 2units , Using formula for slope we have , m = -1 and the equation is

x+y-2=0.

An algebraic expression in mathematics is an expression created using variables, constant algebraic numbers, and algebraic operations. A collection of one or more linear equations containing the same variables is known as a system of linear equations in mathematics. A set of two or more linear equations with two or more variables each constitutes a system of linear equations, all of which are taken into account simultaneously. Finding a numerical value for each variable in the system that will simultaneously satisfy all of the system's equations is necessary to identify the one and only solution to a system of linear equations.

A y-intercept, also known as a vertical intercept, is the location where the graph of a function or relation intersects the coordinate system's y-axis. This is done in analytic geometry using the common convention that the horizontal axis represents the variable x and the vertical axis the variable y. These points satisfy x = 0 because of this.

In mathematics, the slope or gradient of a line is a number that indicates the line's steepness as well as its X and Y directions.

at x=0, we find y-intercept,

from the table,

y-intercept (c) = 2 units.

slope = [tex]\frac {y_2 - y_1}{x_2-x_1}[/tex]

[tex]=\frac {-2+1}{0+1}\\\\=-1[/tex]

Equation, y =mx + c

y=-x+2

x + y=2

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The surface area of cylinder whose height is 10 feet and its base of radius is 4 feet  is 112π [tex]ft^{2}[/tex]

What is volume of cylinder ?

volume of cylinder is product of pi and square of radius and height of the cylinder.

Given,

height of cylinder = 10 feet

base of radius of cylinder = 4 feet.

Surface area of cylinder is

A=2πrh+2πr2

A = π (2rh+2r2)

A = π (2*4*10 + 2* 4*4)

A =π(80+32)

A = 112 π [tex]ft^{2}[/tex] .

Hence, the surface area of cylinder whose height is 10 feet and its base of radius is 4 feet  is 112π [tex]ft^{2}[/tex].

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Answer:

I have provided the answers on the original image you provided.

Step-by-step explanation:

For f(x) = -2x² + 8x + 1

To find the y-intercept, set x = 0 and determine the value for f(x). This will work out to +1 so the y-intercept is (0, 1)

To find the vertex y-value. Note that we are given the x value as 2. Substitute 2 for x in the function expression. This will give you a value of 9. So the vertex is (2, 9)

The coefficient of x² is negative so it will be a maximum vertex and therefore opens downward

For g(x) = 3x² + 6x -4

To find the x value of the vertex, differentiate with respect to x and set this first derivative equal to zero

First derivate of g(x), g'(x) = 6x + 6

Set 6x + 6 =0 to get x = -1

The axis of symmetry is nothing but the x value of the vertex and therefore x = -1

The coefficient of x² is positive. So the vertex will be a minimum and it will be an upward opening parabola

I hope that helps

-11 because

(gof)(x) = 18x2 - 123x + 193. Substitute x = 4. (gof)(4) = 18(4)2 - 123(4) + 193. (gof)(4) = -11. Solution: The solution is (gof)(4) = -11.

Answer:

run = 10

rise = 20

Slope in simple: 2/1

Step-by-step explanation:

Rise over run = 20/10 --> 2/1

Answer:

Step-by-step explanation:

turn 3/4 into 6/8

there you can see 2 3/8 - 6/8 is less than two (the answer is 1 5/8 im pretty sure)

Answer:

the 3rd oneeeeeeeeeeeeeeeeeeeeeeeeeeee

Answer:

6x+48

Step-by-step explanation:

u multiply what is in the bracket by 6

[tex]\huge\text{Hey there!}[/tex]

[tex]\text{In order to solve for this particular equation, you have to DISTRIBUTE 6}\\\text{within the PARENTHESES}}[/tex]

[tex]\text{REMEMBER: if you have a variable by itself, it is understood to be an invisible 1}[/tex]

[tex]\text{Anywho! Let us answer your given question}[/tex]

[tex]\mathsf{6(x + 8)}[/tex]

[tex]\mathsf{= 6(x) + 6(8)}[/tex]

[tex]\mathsf{= 6x + 48}[/tex]

[tex]\huge\text{Therefore, your answer should be: }[/tex]

[tex]\huge\boxed{\mathsf{6x + 48}}\huge\checkmark[/tex]

[tex]\huge\text{Good luck on your assignment \& enjoy your day!}[/tex]

Answer:

Inequality Form:

x≤ −9/11

Interval Notation:

(−∞,−9/11]

Answer:

3rd one is the answer

Step-by-step explanation:

x=7*2/5

By evaluating the given formula, we will see that the fifth term of the sequence is 32.

Here we have a sequence defined by the formula below:

aₙ = 2ⁿ

So that formula gives the n-th term of the sequence. To find the fifth term, we just need to replace the value of n by the value 5 in the formula above.

We will get.

a₅ = 2⁵  

a₅ = 32

The fifth term of the sequence is 32.

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Step-by-step explanation:

when x=10

3x+5y=20

3×10+5y=20

30+5y=20

5y=20-30

5y=-10

y=-10/5

y=-2

Answer:

C) There is no solution

Step-by-step explanation:

2x + 3y = -60

2x + 3y = 120

There is no number that I can substitute for 2x and 3y and get two different answers (60 and 120)

2x + 3y = -60

2x + 3y = 120 ⇒ multiply all the way through by -1 ⇒ -2x -3y = -120

Now add the two equations together

2x + 3y = -60

-2x -3y = -120

        0 = -180  This is a false statement so there is no solution.

A. Work shows that as the probability of success approaches 0, the standard deviation decreases and approaches 0.

The standard deviation for the binomial distribution with a probability of success p = 0.017 for 20 trials would be 0.282. The standard deviation for a binomial distribution can be calculated using the formula =√np(1−p).

Inserting the values for n = 20, p = 0.017 gives us an answer of 0.282. As the probability of success approaches 0, the standard deviation decreases and approaches 0.

This is because as the probability of success approaches 0, the number of successes in the trials approaches 0, so there is less variation in the number of successes and the standard deviation approaches 0.

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Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25 to the nearest whole number, we can round both numbers to the nearest whole number first. 481.68 can be rounded to 482 and 76.25 can be rounded to 76.

Then, we can calculate the product of 482 and 76 to get the estimated result:

482 * 76 = 36,552

Therefore, the estimated product of 481.68 and 76.25 to the nearest whole number is 36,552.

Answer:

36,552

Step-by-step explanation:

To estimate the product of 481.68 and 76.25, you can round each number to the nearest whole number. 481.68 rounds to 482, and 76.25 rounds to 76.

The product of 482 and 76 is approximately 36,552. Therefore, the product of 481.68 and 76.25 is approximately 36,552.

Solving for x in the proportion 4/5 / x = 2 / 74/4 gives

The given proportion is 4/5 / x = 2 / 74/4

Using the equation 4/5 / x = 2 / 74/4, x is solved by making it the subject of the formula and this means placing x alone at the left hand side of the equation. this is achieved by

cross multiplying

4/5 / x = 2 / 74/4

4/5 * 74/4 = 2x

74/5 = 2x

dividing through by 2

x = 37/5

x = 7 2/5

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your slope is right on the money, now the y-intercept is where the y-axis gets intercepted or namely gets crossed, Check the picture below.

The true statement is,

⇒ The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.

The equation of line in point-slope form passing through the points

(x₁ , y₁) and (x₂, y₂) with slope m is defined as;

⇒ y - y₁ = m (x - x₁)

Where, m = (y₂ - y₁) / (x₂ - x₁)

Given that;

The graph shows the taxi fare. y, in is city, for a distance of x kilometers.

Now,

Since, The graph shows the taxi fare. y, in is city, for a distance of x kilometers.

Let two points on the graph are (2, 10) and (4, 16).

Hence, The slope of the line = (16 - 10) / (4 - 2)

                                             = 6/2

                                             = 3

Thus, The equation of line for the graph is,

⇒ y - 10 = 3 (x - 2)

⇒ y - 10 = 3x - 6

⇒ y = 3x - 6 + 10

⇒ y = 3x + 4

For 6 kilometer, the cost is find as;

Substitute x = 6;

⇒ y = 3x + 4

⇒ y = 3 × 6 + 4

⇒ y = 22

Therefore, The total fare changes by $3 per kilometer, and it will cost $22 for a distance of 6 kilometers.

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The plasma television is selling for $425 after the 15% discount.

What is the Selling price and cost price?

The selling price of a product is the price at which it is sold to the customer. It is the price that the customer pays for the product, and it includes any taxes or additional charges.

The cost price, also known as the wholesale price or the wholesale cost, is the price at which the manufacturer or supplier sells the product to the retailer or the distributor. It is the price that the retailer or distributor pays to acquire the product, and it does not include any taxes or additional charges.

If an item is marked 15% off, that means that you will pay 85% of the original price. To calculate the selling price of the plasma television, you can use the following formula:

Selling price = Original price x (100 - discount%) / 100

In this case, the original price of the television is $500 and the discount is 15%, so the selling price is:

Selling price = $500 x (100 - 15) / 100 = $500 x 0.85 = $425

Hence, the plasma television is selling for $425 after the 15% discount.

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Answer:

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

Let the time Kyle ran be x, then he walked for (x + 1) hours.

He ran 12x km and walked 5(x + 1) km thus in total 42 km.

Set up and equation and solve for x:

Total time was:

Answer: 63 inches tall

Step-by-step explanation:

The counter in the photograph appears 4 inches tall, and it is actually 3.5 feet tall, or 42 inches tall.

Therefore, the scale of the photograph is  [tex]42 inches/4inches = 10.5 inches[/tex]

The shoplifter in the photograph appears [tex]6[/tex] inches tall, so in real life, they are [tex]6 inches[/tex] * [tex]10.5 inches[/tex] [tex]= 63 inches[/tex] tall

So the shoplifter is [tex]63 inches[/tex] tall.

The total amount of money Williams will pay if he downloaded 45 song is 36.5 dollars.

The total cost if he download s song is 14 + 0.50s.

William signed up for a streaming music service that costs $14 per month. The service allows William to listen to unlimited music, but if he wants to download songs for offline listening, the service charges $0.50 per song.

Therefore, the amount of money Williams will save to download 45 songs is as follows:

Using equation,

y = 14 + 0.50x

where

Therefore,

y = 14 + 0.50(45)

y = 14 + 22.5

y = 36.5 dollars

If he downloaded s songs,

total cost = 14 + 0.50s

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The formula that Steve can use to determine the height of the rectangular prism is given as follows:

Height = Volume/(length x width).

The formula for the volume of a rectangular prism is dependent on the height, thus it is used to solve for the height.

The volume of a rectangular prism, with dimensions length, width and height, is given by the multiplication of these dimensions, as follows:

Volume = length x width x height.

To obtain the height, we must solve the above formula for the height, isolating the height, with the length and the width dividing on the other side, as they are inverse operations to the multiplication, as follows:

Height = Volume/(length x width).

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Answer:

  23. (1, 4)

  24. (1, 4)

  25. graphing calculator

Step-by-step explanation:

You want to solve this system of equations by graphing and by substitution.

The graph of the system of equations is attached. The solution is ...

  (x, y) = (1, 4)

Using the second equation, we can write an expression for y:

  y = 2x +2

Substituting that into the first equation gives ...

  x + (2x +2) = 5

  3x = 3 . . . . . . . . subtract 2

  x = 1

Then ...

  y = 2(1) +2 = 4

The solution is (x, y) = (1, 4).

We like the graphing calculator solution, as it gives the answer as quickly as we can type the equations.

If we were constrained to drawing the graph by hand, we would prefer the substitution solution.

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After simplifying the following expression the power of a , c ,d e could be 20,2 , 2 , 6 .

What is expression ?

expression can be defined as with the minimum of two variables or numbers and at least one math operation.

Given expression,

([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2

so, we know that (a) power -1 could be 1/a .

similarly,

([tex]a^{10}[/tex] [tex]b^{0}[/tex]cd[tex]e^{3}[/tex] ) power -2  =  1  /  [tex]a^{20}[/tex] [tex]c^{2}[/tex][tex]d^{2}[/tex][tex]e^{6}[/tex]

Hence the values after simplifying the following expression, the power of a , c ,d e could be 20,2 , 2 , 6 .

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Answer:

The amplitude of the function y=2*sin(x) is 2. The amplitude is the maximum value of the function, and in this case, the maximum value of y is 2.

The period of the function y=2*sin(x) is 2π. The period is the distance in the x-axis between two points at which the function has the same value. And in this case, the function reaches the maximum value of 2 at x = π/2, and the next time it reaches the same value is x = 3π/2, which is a distance of 2π in the x-axis.