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Flura [38]
2 years ago
9

Y = x² - 4x convert from standard to vertex form​

Mathematics
1 answer:
Pepsi [2]2 years ago
6 0

Answer:

y = (x-2)^{2} -4

Step-by-step explanation:

To complete the square: add 4 to both sides because the product of 4 as 2 as the factor which 2 * 2 so 2^{2}

y +  ? = x^{2} - 4x + ?

y +  2^{2} = x^{2} - 4x + 2^{2}

y + 4 = x^{2} - 4x + 4

Now we can factor the expression

y + 4 = (x-2)^{2}

Move the 4 to the other side to isolate y which changes the sign

y = (x-2)^{2} - 4  

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Carla wants to start a college fund for her daughter Lila. She puts $63,000 into an account that grows at a rate of 2.55% per ye
Oksanka [162]

Answer:

Step-by-step explanation:

We would apply the formula for determining compound interest which is expressed as

A = P(1+r/n)^nt

Where

A = total amount in the account at the end of t years

r represents the interest rate.

n represents the periodic interval at which it was compounded.

P represents the principal or initial amount deposited

From the information given,

P = 63000

r = 2.55% = 2.55/100 = 0.0255

n = 12 because it was compounded 12 times in a year.

Therefore, function, C(t), that represents the amount of money in the account t years after the account is opened is

C(t) = 63000(1 + 0.0255/12)^12t

C(t) = 63000(1.002125)^12t

For C(t) = 100000,

100000 = 63000(1.002125)^12t

100000/63000 = (1.002125)^12t

1.587 = 1.002125)^12t

Taking log of both sides

Log 1.587 = log 1.002125)^12t

Log 1.587 = 12tlog 1.002125)^

0.2005 = 12t × 0.00092

0.2005 = t × 0.01104

t = 0.2005/0.01104

t = 18.16 years

5 0
3 years ago
A point with coordinates (a, b) is plotted on a coordinated plane. The values of a and b can be any positive or negative integer
natali 33 [55]

Answer:

I think it's x-axis.

Step-by-step explanation:

but me could me wrong

3 0
3 years ago
Two researchers are studying the decline of orangutan populations. In one study, a population of 784 orangutans is expected to d
inna [77]

Write <u>two functions</u> that <u>describes</u> the <u>decrease of the population</u> after <u>t years.</u>

1.  In one study, a population of 784 orangutans is expected to decrease at a rate of 25 orangutans per year. Then after t years the number of orngutans will be

y=784-25t.

2.  In a second study, the population of a group of 817 orangutans is expected to decrease at a rate of 36 per year. Then after t years the number of orngutans will be

y=817-36t.

3. Equate right sides of the equations:

784-25t=817-36t,\\ \\36t-25t=817-784,\\ \\11t=33,\\ \\t=3\ years.

Answer: after 3 years

5 0
3 years ago
Read 2 more answers
Find the area and the circumference of a circle with radius 7yd
Anettt [7]

Area= 153.86 yd

Circumference

4 0
3 years ago
Read 2 more answers
Need math help ;w; ! i appreciate it
Elza [17]
Area = width x length
If the area is 48 and width is 6, you can do
Length = area/width
Length = 48/6
Length = 8

Perimeter = length x 2 + width x 2
Perimeter = 8x2 + 6x2
Perimeter = 16 + 12
Perimeter = 28 feet
7 0
3 years ago
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