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3 years ago

What is the midpoint of the x-intercepts of f(x) = (x – 4)(x + 4)? (0,0) (0,4) (–4,0) (2,0)

Mathematics

1 answer:

forsale [732]3 years ago

6 0

Answer:

The midpoint of the x-intercepts of the function is (0, 0)

Step-by-step explanation:

Notice that since the function comes in factor form, we know that its roots (which are actually the intercepts the function has with the x-axis) are: x = 4 and x = -4 (the x-values for which the function renders zero).

These two points are equidistant from the origin of coordinates (0, 0), and therefore the midpoint of these x-intercepts is (0, 0).

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N76 [4]

Answer: the service charge per hour for premium services is $5.5

the service charge per hour for regular services is $3

Step-by-step explanation:

Let x represent the service charge per hour for premium services.

Let y represent the service charge per hour for regular services.

One customer was charged $38 after spending 2 h in premium areas and 9 regular hours. It means that

2x + 9y = 38- - - - - - - - - - - 1

Another customer spent 3 h in premium areas and 6 regular hours and was charged $34.50. It means that

3x + 6y = 34.5- - - - - - - - - - -2

We would eliminate x by multiplying equation 1 by 3 and equation 2 by 2. It becomes

6x + 27y = 114

6x + 12y = 69

Subtracting, it becomes

15y = 45

y = 45/15

y = 3

Substituting y = 3 into equation 1, it becomes

2x + 9 × 3 = 38

2x + 27 = 38

2x = 38 - 27 = 11

x = 11/2 = 5.5

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3 years ago

Each row in the table shows how a picture was enlarged or reduced

Fed [463]

Answer:

1. Tall Dog

2. Small Dog

3. Regular Dog

4. Fat Dog

Step-by-step explanation:

It's simple. Look at the problem ;)

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3 years ago

A $500 couch is marked up 20%. What is the new price of the couch?

Aleks04 [339]

Pretty sure the answer is $600

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3 years ago

Help!<br> Change 2/5<br> to a percent.

nalin [4]

Answer:

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Step-by-step explanation:

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3 years ago

Read 2 more answers

Jack is selling wristbands and headbands to earn money for camp. He earns $2 for each wristband and $3 for each headband. He wan

djverab [1.8K]

Let
x = wristbands
y = headbands
We then have the following inequations:
2x + 3y> = 50
x> = 5
The graph that represents the solution for this system of inequations is shown in the attached image.
The set of solutions is the shaded region.

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3 years ago