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Answer:  The slope is 2/3

Step-by-step explanation:

The difference in the rise (y-values) 2,  divided by the difference in the run (x-values) 3,  is 2/3.

You can see this by looking at the places where the graphed line crosses the grid, and counting the squares in each direction between those points, or you can use the formula (y - y₁) ÷ (x - x₁)  

Using the values of coordinates (3,1) and (0, -1)

1 -(-1) ÷ 3 - 0

2 ÷ 3

2/3

The slope of the given line is 2/3.

From the given figure, the coordinates of the points on line are (3, 1) and (-3, -3).

The slope of a line is defined as the change in y-coordinate with respect to the change in x-coordinate of that line.

The slope of a line is m=(y2-y1)/(x2-x1)

Using the coordinates (x1, y1) = (3, 1) and (x2, (y2) = (-3, -3)

Slope(m) = (-3-1)/(-3-3)

= -4/(-6)

= 2/3

Therefore, the slope of the given line is 2/3.

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Answer:

Step-by-step explanation:

11.6

Answer: $97.524

Step-by-step explanation:

First let's calculate the price after the tax rate:

converting 7.50% to a decimal = 0.0750 now we multiply the sales tax by 75.60 which equals $5.67 add it to 75.60 = 81.27 (our new total)

Now let's calculate the tip. Again turning 20% to a decimal = .20 now multiplying by 81.27 = 16.254. Adding 16.254 to 81.27 we get our final answer: $97.524

Answer: 2.5=Y

Step-by-step explanation: you divide -2 by 5 which is -2.5 then you add 5 giving you the result of 2.5 or Y

Answer:

See attached image

Step-by-step explanation:

In order to graph, find about three different points that belong to the line, and join them with a straight line.

The points I suggest are using easy values of "x" that will make the calculation of the y-value simple. For example the x-values: 0, 5, -5

When x = 0 , y becomes: y = -(2/5) (0) + 5 = 5

When x = 5,  y becomes : y = -(2/5) (5) + 5 = - 2 + 5 = 3

When x = -5,  y becomes: y = -(2/5) (-5) + 5 = 2 + 5 = 7

Then plot the points (0, 5), (5, 3) and (-5, 7) on the plane, and join them with a line as shown in the attached image.

Answer:

If they are seperate numbers then it would be

47,582 and 162,315

If they are the same number it would be 47,582,162,315

The total amount that Portfolio 2 earns is approximately $567.75.

To calculate the earnings for Portfolio 2, we need to calculate the return on each investment and then sum them up.

Return on Savings Account:

= $1,450 * 2.80%

= $40.60

Return on Government Bond:

= $2,200 * (-1.55%)

= -$34.10

Return on Preferred Stock:

= $3,700 * 11.70%

= $432.90

Return on Common Stock:

= $1,500 * 8.49%

= $127.35

Total earnings for Portfolio 2 is:

= $40.60 + (-$34.10) + $432.90 + $127.35

= $567.75.

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a. The final result is -45 + ?(-3).

b. We have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.

c. The result is 10.

d. The result is 6.

a. -15 × (-3 + 5) - 15 + ?(-3)

Let's simplify the expression step by step:

-15 × (-3 + 5) - 15 + ?(-3)

First, we can simplify the expression within the parentheses:

-15 × 2 - 15 + ?(-3)

Next, we perform the multiplication and addition:

-30 - 15 + ?(-3)

Now, let's address the "?(-3)" part. Since we don't have a specific value for the missing factor, we'll leave it as it is for now.

-30 - 15 + ?(-3)

Finally, we can simplify the expression by performing the subtraction:

-45 + ?(-3)

The final result is -45 + ?(-3).

b. √(-125 - 5) × 3²

Let's simplify this expression step by step:

√(-125 - 5) × 3²

First, we evaluate the expression within the square root:

√(-130) × 3²

Since we have a negative value inside the square root, this expression is not defined in the real number system. If you're working with complex numbers, we can proceed by evaluating the square root of -130.

c. (-5) - (-8) - (-7)

Let's simplify this expression step by step:

(-5) - (-8) - (-7)

To simplify double negatives, we can rewrite the expression as addition:

(-5) + 8 + 7

Now, we can perform the addition:

-5 + 8 + 7 = 3 + 7 = 10

The result is 10.

d. (-5) - (-8) - (-7) - (+2) - (+2)

Let's simplify this expression step by step:

(-5) - (-8) - (-7) - (+2) - (+2)

Again, let's rewrite the double negatives as addition:

(-5) + 8 + 7 - 2 - 2

Now, we can perform the addition and subtraction:

-5 + 8 + 7 - 2 - 2 = 3 + 7 - 2 - 2 = 10 - 4 = 6

The result is 6.

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Answer:

0 to 4.5

Step-by-step explanation:

ranges from 0 to 4.5

Given parameters:

Distance = 320miles

Average speed  = 69miles per hour

Unknown;

A motion equation  = ?

Given that D should represent Distance

                  h number of hours traveled by Joe

Speed is a physical quantity defined as the distance divided by time taken.

It is mathematically expressed as;

             Speed  = [tex]\frac{Distance}{time taken}[/tex]

Now substitute D for distance and h for the number time;

          Speed  = [tex]\frac{D}{h}[/tex]

So distance;

          D = Speed x h

For this journey;

         D = 69h

The equation is D = 69h

Answer:

The answer is B. D=320-69h

Just took the quiz :)

The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.

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

A variable can either be independent or dependent. A dependent variable depends on other variable while an independent variable does not depend on other variable.

Let x represent the money invested in growth fund, y represent that of income fund and z represent that of money market fund.

$5000 was invested, hence:

x + y + z = 5000     (1)

Also:

0.12x + 0.08y + 0.05z = 5450 - 5000       (2)

Your teacher invested twice as much in the income fund as in the money market fund:

y = 2z    (3)

From the three equations:

x = 2000, y = 2000, z = 1000

The amount of money invested in growth fund was $2000, $2000 was invested in income fund and $1000 was invested in money market fund.

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Answer:

slope is 4

Step-by-step explanation:

Answer:

it is 60 my guy

Step-by-step explanation:

Answer:  LCM = 60

Step-by-step explanation:

                6             20  

× 1             6              20

× 2           12              40

× 3           18              60

× 4           24

× 5           30

× 6           36

× 7           42

× 8           48

× 9           54

× 10          60

Answer: A= 21/13

Step-by-step explanation:

Answer:

360 miles

Step-by-step explanation:

just multiply 120 by 3.

Answer:

8 ounces for each pot

Step-by-step explanation:

First, we know there are 16 oz in a pound. Since there are 4 pounds, we multiply 4 by 16 to get 64, which is the amount of oz of dirt Franklin will plant. We then divide 64 by 8, to find out the amount of oz per pot.

Hope this helps!

Answer:

Natural Numbers!!

Step-by-step explanation:

The Probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

To find the probability that a randomly selected senior is both in the band and on the honor roll, we need to divide the number of seniors who are in both categories by the total number of seniors.

Given:

Total number of seniors = 200

Number of seniors in the band = 32

Number of seniors in the band or on the honor roll = 64

Let's calculate the probability using these values:

Probability = Number of seniors in both categories / Total number of seniors

Probability = 64 / 200

To simplify this fraction, we can divide both the numerator and denominator by their greatest common divisor, which is 8:

Probability = (64 ÷ 8) / (200 ÷ 8)

Probability = 8 / 25

Therefore, the probability that a randomly selected senior is both in the band and on the honor roll is 8/25.

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To divide 30 into five parts such that the first and last parts are in the ratio of 2:3, we can follow these steps:

1. Determine the ratio between the first and last parts. In this case, it is 2:3.

2. Add the ratio values together to find the total number of parts: 2 + 3 = 5.

3. Divide the total value (30) by the total number of parts (5) to find the value of each part: 30 / 5 = 6.

4. Multiply the value of each part by the respective ratio values to obtain the individual parts:

- First part: 2 * 6 = 12

- Second part: 6

- Third part: 6

- Fourth part: 6

- Last part: 3 * 6 = 18

Therefore, the five parts of 30, with the first and last parts in the ratio of 2:3, are 12, 6, 6, 6, and 18.

Answer: 0

Step-by-step explanation: 1+1+1+1=4 or 4x1=4

4x0=0 because anything you multiply by 0 is always going to be 0.

Answer:

3

Step-by-step explanation:

1+1+1+1x0=1+1+1+0=1+1+1=2+1=3

Answer:

There are 36 possible exams.

Step-by-step explanation:

How many ways can you select 2 questions out of 9?  9 choose 2.

[tex]\frac{9!}{2!7!}[/tex]= 36

Answer:

Your answer is

-2r-7

Step-by-step explanation:

Hope this helps!

Answer:

-2r-7

Step-by-step explanation:

Answer: -10,505,110

Step-by-step explanation:

Answer:

10

Step-by-step explanation:

Answer:

hey, i hope you are having a wonderful day.

Step-by-step explanation:

Answer:

Cindy uhh, I can't really see the figures well but I think you'll insert the x and y values into the function given and solve for A, B and C simultaneously.

where you see f(x), put in there the y value of the point and where you see x , put in the x value of the point.

Also ,you can nullify A and B to get C first . You can do that by putting zero in place of x and putting it's correspondent on the y axis into f(x)

Answer:  x = 2, y = -1

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Answer:

∠ ABC = 49°

Step-by-step explanation:

the chord- tangent angle ABC is half the measure of the intercepted arc AB

∠ ABC = [tex]\frac{1}{2}[/tex] AB = [tex]\frac{1}{2}[/tex] × 98° = 49°

589.43 m is the approximate length of AB from the given triangle

The given diagram is a triangle. From the given triangle, the equivalent expression that will be used is given as:

BC² = AC² + AB² - 2(AC)(AB) cos Ф

Substitute the given parameters

482² = 358² + AB² - 2(358)(AB) cos 54.8

482² - 358² =  AB² - 716(AB) cos 54.8

104160 =  AB²- 412.72AB
AB²- 412.72AB - 104160 = 0

On factorizing the result, the measure of the length AB is approximately 589.43 m

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Answer:

Step-by-step explanation:

69