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2 years ago

Find an equation of the parabola that has the indicated vertex and whose graph passes through the given point

1 answer:

3 0

Equation of a parabola with vertex at (2, -1) is
y = a(x - 2)^2 - 1

Using the given point: -3 = a(4 - 2)^2 - 1
-2 = a(2)^2
4a = -2
a = -1/2

Therefore, required equation is
y = -1/2(x - 2)^2 - 1
y = -1/2(x^2 - 4x + 4) - 1
y = -1/2x^2 + 2x - 2 - 1
y = -1/2x^2 + 2x - 3

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What is the answer to this problem? X+ 5/12=5/8

Irina-Kira [14]

We we are asked to solve this kind of problem we are asked to find the value of the value (x in this case). So the first thing we want to do isolate x by subtracting 5/12 from both sides.

x+5/12-5/12=5/8-5/12

Simplify

x=5/8-5/12

Reduce

x=3/3(5/8)-2/2(5/12)

x=15/24-10/24

x=5/24

7 0

2 years ago

Mia removes the plug from a trough to drain the water. The volume, in gallons, in the trough after it has been unplugged can be

STALIN [3.7K]

Answer:

The correct option is D) (5x − 2)(2x − 3).

Step-by-step explanation:

Consider the provided expression.

$10x^2-19x+6$

Where x is time in minutes.

We need to find the appropriate form of the expression that would reveal the time in minutes when the trough is empty.

When the trough is empty the whole expression becomes equal to 0.

Substitute the whole expression equal to 0 and solve for x that will gives us the required expression.

$10x^2-19x+6=0$

$10x^2-15x-4x+6=0$

$5x(2x-3)-2(2x-3)=0$

$(5x-2)(2x-3)=0$

Now consider the provided option.

By comparison the required expression is D) (5x − 2)(2x − 3).

Hence, the correct option is D) (5x − 2)(2x − 3).

3 0

3 years ago

At last month's trivia competition, 20 questions were about history and geography, and the other 35 questions were about pop cul

valkas [14]

Answer:

About 7% is the anwser i tried 4% and i got it wrong and it said 7 was correct

8 0

3 years ago

If x ≠ 2y, then eq1a 2(x-2y) 2y-x 1 0 -2

lesya692 [45]

The answer is 0 because they’re the same

8 0

2 years ago

If tatianna works 3hrs a day on school days and make $123.75 a week what is her hourly rate?

madreJ [45]

Answer:

Her hourly rate is $8.25

Explanation:

Tatianna works 3 hours a day on school days and makes a total of $123.75 in a week

We know that:

There are 5 school days in a week

We are given that:

She works for 3 hours a day each of those days

Therefore:

Total number of hours worked = hours worked daily * number of days

Total number of hours worked = 3 * 5 = 15 hours in a week

The equation used to calculate Tatianna's earnings is:

Amount she makes in a week = Total number of hours worked * hourly rate

Now, we substitute with the givens to get the hourly rate as follows:

Amount she makes in a week = Total number of hours worked * hourly rate

123.75 = 15 * hourly rate

Hourly rate = $8.25

6 0

3 years ago