Write an equation of a parabola that passes through the point (2,4) with vertex (-1,-1) in vertex form.

1 answer:

8 0

An applicable equation of a vertical parabola in vertex form is:

y-k = a(x-h)^2

Let x=2, y=4, h=-1 and k=-1, where (h,k) is the vertex. Then,

4-(-1) = a(2-[-1])^2, which becomes 5 = a(9). Therefore, a = 5/9, and the
equation of the parabola is

y+1 = (5/9)(x+1)

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You work a part-time job at $7.85/hr for 10 hours per week. Your deductions are FICA (7.65%), federal tax withholding (9.8%), an

Dmitrij [34]

Here, My initial salary = 7.85

FICA deduction amount = 7.85 * 7.65% = 7.85 * 0.0765 = 0.60
Federal Tax amount = 7.85 * 9.8% = 7.85 * 0.098 = 0.77
State tax amount = 7.85 * 5.5% = 7.85 * 0.055 = 0.43

So, Total deducted amount = 0.60 + 0.77 + 0.43 = 1.80
Net hourly wage = 7.85 - 1.80 = 6.05

In short, Your Answer would be $6.05

Hope this helps!

4 0

2 years ago

Two objects were lifted by a machine. One object had a mass of 2 kilograms and was lifted at a speed of 2m/sec. the other had a

OLga [1]

Sadly, after giving all the necessary data, you forgot to ask the question.
Here are some general considerations that jump out when we play with
that data:

<em>For the first object:</em>
The object's weight is (mass) x (gravity) = 2 x 9.8 = 19.6 newtons
The force needed to lift it at a steady speed is 19.6 newtons.
The potential energy it gains every time it rises 1 meter is 19.6 joules.
If it's rising at 2 meters per second, then it's gaining 39.2 joules of
potential energy per second.
The machine that's lifting it is providing 39.2 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(2)(4) = 4 joules.

<em>For the second object:</em>
The object's weight is (mass) x (gravity) = 4 x 9.8 = 39.2 newtons
The force needed to lift it at a steady speed is 39.2 newtons.
The potential energy it gains every time it rises 1 meter is 39.2 joules.
If it's rising at 3 meters per second, then it's gaining 117.6 joules of
potential energy per second.
The machine that's lifting it is providing 117.6 watts of lifting power.
The object's kinetic energy is 1/2 (mass) (speed)² = 1/2(4)(9) = 18 joules.

If you go back and find out what the question is, there's a good chance that
you might find the answer here, or something that can lead you to it.

4 0

2 years ago

Devon earns a base salary of $600.00 per month, plus a 4% commission on his sales. Last month he brought in $15,000.00 in sales.

Thepotemich [5.8K]

Answer:

Total compensation = 600 + 0.04 * s and a total last month of $1200

(which agrees with the second answer shown in the provided list)

Step-by-step explanation:

Total compensation comes from the addition of base salary ($600) plus 4% (0.04) of the sales (s). That means:

Total compensation = 600 + 0.04 * s

and since last month he brought $15000 in sales, he got from sales:

0.04 * 15000 = $600

which added to the base salary gives:

$600 + $600 = $1200

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2 years ago

SOLVE FOR X !!!!!!! WILL ALWAYS GIVE BRAINLIEST!!!!!!!

mamaluj [8]

Answer:

59 degrees

Step-by-step explanation:

Inscibed angles in a circle encompass TWICE their value of arc degrees

2x = 118

x = 59 degrees

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1 year ago

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Greeley [361]

Answer:

Step-by-step explanation:

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2 years ago

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