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Afina-wow [57]
3 years ago
11

Find x- and y-intercepts. Write ordered pairs representing the points where the line crosses the axes. 2x+3y=6

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0

Answer:

x-intercept: (3, 0)

y-intercept: (0, 2)

Step-by-step explanation:

For a function like:

y = f(x)

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

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

Also remember that an ordered pair is written as (x, y).

In this case we have the equation:

2*x + 3*y = 6

For the x-intercept, we just replace y by zero in the equation, then we get:

2*x + 3*0 = 6

Solving this for x, we get:

2*x = 6

x = 6/2 = 3

Then in this case, the ordered pair for the x-intercept is (3, 0)

For the y-intercept, we just need to replace x by zero in the equation:

2*0 + 3*y = 6

Solving this for y, we get:

3*y = 6

y = 6/3 = 2

Then the ordered pair for the y-intercept is (0, 2)

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Step-by-step explanation:

8 vehicle.

Step-by-step explanation:

Given: Monthly salary of salesperson is $2400

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First, lets compute income to earned apart from salary.

∴ Deduct salary from the target amount

\$ 4400-\$ 2400= \$ 2000$4400−$2400=$2000

∴ 2000 need to be earned only through incentive, which is2000needtobeearnedonlythroughincentive,whichis250 per vehicle sold.

Now, solving to get number vehicles to be sold to earn $2000 as incentive.

Number of vehicle= \frac{2000}{250}= 8\ vehicles2502000=8 vehicles

∴ 8 vehicles need to be sold by salesperson to get total earning as $4400

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2 years ago
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3 0
3 years ago
The graph h = −16t^2 + 25t + 15 models the height and time of a ball that was thrown off of a building where h is the height in
Olenka [21]

Answer:

A

Step-by-step explanation:

If you graph the equation f(x) = -16x^2+25x+15. You would need to pay attention to the x value which is somewhere in between 0.75-0.9.

Another way is to convert the equation into vertex form.

6 0
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Luna mixes 3/4 cup of orange juice with 3/8 cup of cranberry juice. She gives 5/8 cup of juice to mags. How much is left in luna
Debora [2.8K]

Answer:

The answer is 1/2

Step-by-step explanation:

First you must the least common denominator so that you can add the two fractions. The least common denominator between 3/4 and 3/8, would be 8.

To get 3/4 to the least common denominator, you have to multiply top and bottom by 2. The product of this will be 6/8.

Next you add the two fractions: 6/8 + 3/8 = 9/8

Simplify your improper fraction to get on and 1 eighths or in number form 1 1/8

After this you must subtract how much she gave away so you can use your improper fraction to make it easier and subtract five eighths from nine eighths: 9/8 - 5/8 = 4/8

So, Luna has four eighths of a glass left but first you must simplify your answer. both 4 and 8 divide by 4 to get 1/2.

So Luna's glass only has 1/2 in the cup.

Make sure you be optimistic and see it as half full, instead of the pessimistic view of half empty. Remember to stay positive and share good vibes. Hope this answer helps you.

4 0
3 years ago
A line passes through the point (-3,-3) and had a slope of 1/2, what equation is the line?
azamat

Answer:

y + 3 = 1/2(x + 3)

Step-by-step explanation:

Point Slope Form: y - y1(y coordinate) = m(slope)(x - x1(x coordinate))

4 0
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