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3 years ago

Suppose line n has a slope of 5/7 and passes through (4,8). what is the equation for n in point-slope form?

Mathematics

1 answer:

Olegator [25]3 years ago

7 0

Answer:

$\large\boxed{y-8=\dfrac{5}{7}(x-4)}$

Step-by-step explanation:

The point-slope form of an equation of a line:

$y-y_1=m(x-x_1)$

m - slope

We have the slope $m=\dfrac{5}{7}$ and the point $(4,\ 8)$ .

Substitute:

$y-8=\dfrac{5}{7}(x-4)$

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Please help and is #2 right?????

Rudiy27

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3 years ago

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If a 12 ounce glass of ale contains 124 calories, how many calories are in 10 ounces?

Anestetic [448]

Answer

103.333333333

Explanation

Since 12oz of ale contains 124 calories, you have to divide 124 by 12 to find how many calories are in 1 oz of ale. then you multiply 10.33 by 10 to find how many calories are in a 10oz glass of ale.

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3 years ago

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Which properties are present in a table that represents an exponential function in the form y-b* when b > 1?

erastovalidia [21]

Answer:

Properties that are present are

Property I

Property IV

Step-by-step explanation:

The function given is $y=b^x$ where b > 1

Let's take a function, for example, $y=2^x$

Let's check the conditions:

I. As the x-values increase, the y-values increase.

Let's put some values:

y = 2 ^ 1

y = 2

and

y = 2 ^ 2

y = 4

So this is TRUE.

II. The point (1,0) exists in the table.

Let's put 1 into x and see if it gives us 0

y = 2 ^ 1

y = 2

So this is FALSE.

III. As the x-value increase, the y-value decrease.

We have already seen that as x increase, y also increase in part I.

So this is FALSE.

IV. as the x value decrease the y values decrease approaching a singular value.

THe exponential function of this form NEVER goes to 0 and is NEVER negative. So as x decreases, y also decrease and approached a value (that is 0) but never becomes 0.

This is TRUE.

Option I and Option IV are true.

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3 years ago

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For a club gathering you were having, you bought a total of 50 burgers, and spent $90. You paid $2 per turkey burger, and $1.50

Sedaia [141]

Answer:

No. You would have to cut the number of veggie burgers in more than half.

Explanation:

1. Model the situation with a system of equations

a) Name the variables:

number of turkey burgers: t
number of veggie burgers: v

b) Number of burgers:

50 = t + v

c) Cost of the 50 burgers:

$90 = 2t + 1.50v

2. Solve that system of equations:

a) System

50 = t + v

90 = 2t + 1.50v

b) Mutliply the first equation by 2 and subtract the second equation

100 = 2t + 2v
90 = 2t + 1.50v

10 = 0.5v

v = 20 ⇒ t = 50 - 20 = 30

c) How much would you spend if the next year you buy the double of 20 turkey burgers (40) and the half of 30 veggie burgers (15)

$2(40) + $1.50(15) = $80 + $22.50 = $102.50

Then, you if you double the number of turkey burgers, and cut the number burgers in half, you would spend more than $90 ($102.50).

6 0

3 years ago

Model Real Life You and a partner

shutvik [7]

No. Using multiplication and division, you and your partner will not each get the same number of flips because one can flip 23 times, while the other does it 22 times.

<h3>What are mathematical operations?</h3>

The basic mathematical operations include addition, subtraction, multiplication, and division.

These mathematical operations are performed on numbers, variables, equations, and functions to determine numerical results.

In this situation, we first multiply to get the total number of times the 3 bottles can be flipped.

This total is divided by 2 to see if there will not be a remainder. The result of the division operation is an odd value.

The number of bottles for flipping = 3

The number of times to flip each bottle = 15 times

The total number of times to flip the 3 bottles = 45 times 93 x 15)

The number of those conducting the bottle flipping experiment = 2

The number of times each partner can flip the bottles evenly = 22.5 times (45/2)

Each partner cannot flip the same number of times based on the mathematical operations because 45 is not an even number.

Learn more about mathematical operations at brainly.com/question/20628271

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1 year ago