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3 years ago

Write an equation (in slope-intercept form) that is parallel to 4x + 5y = 10 and has the same y-intercept as -3x - 4y = 24.

Mathematics

1 answer:

mart [117]3 years ago

7 0

Answer:

y = -4/5 x - 6

Step-by-step explanation:

First turn both standard form equations to slope-intercept form.

4x + 5y = 10 -3x - 4y = 24

-4x -4x +3x +3x

5y = -4x + 10 -4y = 3x + 24

5 5 -4 -4

y = -4/5 x + 2. y = -3/4 x - 6

Now that you have each in slope-intercept form, we can begin the magic.

So we know that this line's y-intercept will be -6.

Not to mention since it's parallel, that means it will share the same slope as y = -4/5 x + 2, which the slope is -4/5. All together it will be

y = -4/5 x - 6. Now we can graph the line's to see if we we're right. (Look at graphs, attached above⤴⤴⤴) As you can see they are parallel.

Hope this helped :)

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Mary has an office-supplies budget of $150 for

tatyana61 [14]

Part a)

The inequality that represents the number of folders f and notebooks n she can purchase is $2.15f+4.60n\leq 150$

Part b)

The graph is attached in figure.

Step-by-step explanation:

Part a)

Total budget of Mary = $150

Price of each folder = $2.15

Price of each notebook= $4.60

Let f represent folder and n represent notebooks the inequality will be:

$2.15f+4.60n\leq 150$

We are using less than or equal to (≤) because the budget is 150. the total price should be less than or equal to 150.

So, inequality that represents the number of folders f and notebooks n she can purchase is $2.15f+4.60n\leq 150$

Part b)

Graph the inequality 2x – 3y = 12

We need to graph the inequality but in the given question the inequality sign is missing.

Considering less than equal to (≤) sign

2x – 3y <= 12

The graph is attached in figure below.

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Learn more about Solving inequalities at:

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3 years ago

The volume of a cylinder is 32.25 cubic inches. If a cone has the same height and radius as the cylinder, what is its volume?

Pani-rosa [81]

Since the volume of a cylinder is hπr^2 and the volume of a cone is (hπr^2)/3, the volume of the cone will just be 1/3 the volume of the cylinder with the same radius and height. In this case:

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4 years ago

Ms. Cruz has a tank with 11 fish. After buying two more, she has 2 less than triple the amount of fish Ms. Montesinos has. How m

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Answer:

a) The variable, M represents the amount of fish Ms. Montesinos has

b) The set equation is 11 + 2 = 3 × M - 2

c) 5

Step-by-step explanation:

The given parameters are;

The number of fishes in Ms. Cruz's tank = 11 fishes

The number of fishes Ms, Cruz has after buying two more fishes = 3 × The amount of fish Ms. Montesinos has - 2 fishes

a) Let the variable, M represent the amount of fish Ms. Montesinos has

b) The set up equation is as follows;

11 + 2 = 3 × M - 2

c) From the equation, 11 + 2 = 3 × M - 2, we have;

13 = 3·M - 2

3·M = 13 + 2 = 15

3·M = 15

M = 15/3 = 5

M = 5

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3 years ago

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bazaltina [42]

Answer:

Step-by-step explanation:

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In this case, there are two possibilities—6 or 8.

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Answer:

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Step-by-step explanation:

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