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kiruha [24]
2 years ago
5

Write the vertex form of the quadratic equation by completing the square and upload a picture of your work. y=4x^2+16x-48

Mathematics
1 answer:
luda_lava [24]2 years ago
5 0

The vertex form of the quadratic equation given is  y = 4(2x +1)² -12

<h3>What is an Equation ?</h3>

An equation is formed when two algebraic expressions are equated by an equal sign , It has wide usage in mathematics to find the unknown variables.

A quadratic equation is given

y = 4x² +16x -48

The vertex form has to be written for it

The standard quadratic equation is

y = a(x-h)² +k

where h and k are the vertex

From the given equation

y = 4x² +16x +4 - 4 -8

y = (4x+2)² -12

y = 4(2x +1)² -12

So here it is in the standard form

Vertex is (-1 , -12)

To know more about Equation

brainly.com/question/10413253

#SPJ1

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The number 0.0002 is 1/10 of
Ratling [72]

Answer:

I think it is 0.002

6 0
3 years ago
Read 2 more answers
Gertrude takes out a $5,500 subsidized stafford loan, which must be paid back in ten years. gertrude will graduate four years af
Leno4ka [110]

The total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

<h3>What is compound interest?</h3>

Compound interest is the amount charged on the principal amount and the accumulated interest with a fixed rate of interest for a time period.

The formula for the final amount with the compound interest formula can be given as,

A=P\times\left(1+\dfrac{r}{n\times100}\right)^{nt}\\

Here, A is the final amount (principal plus interest amount) on the principal amount P of with the rate<em> r </em>of in the time period of <em>t.</em>

Gertrude will graduate four years after taking out the loan. if the loan has an interest rate of 6.8%, compounded monthly, and Gertrude makes monthly payments.

Put the values in the above formula as,

5500=P_{mt}\times\left(1-\dfrac{6.8}{12\times100}\right)^{-12\times10}\\P_{mt}=63.29

In the 10 years, the refund she gets,

A_r=63.29\times12\times100\\A_r=7594.8

Interest paid by her is,

I=7594.8-5500\\I=2094.8

Thus, the total amount of interest will Gertrude pay by the time the subsidized Stafford loan is repaid is $2094.80.

Learn more about the compound interest here;

brainly.com/question/24274034

3 0
3 years ago
Please please help me no links
Slav-nsk [51]
pretty sure it’s 108 because each angle of a pentagon is 108
4 0
3 years ago
0.25k+1.5-k-3.50.25k+1.5−k−3.5. please I need help who ever answers it first will become brainliest
Vilka [71]

Answer:

0.25k+1.5−k−3.5

Subtract k from 0.25k.

−0.75k+1.5−3.5

Subtract

3.5 from 1.5.

−0.75k−2

Step-by-step explanation:

5 0
3 years ago
what is the best approximation of the solution to the system to the nearest valus 2x-3y=-6 and x+2y=8
Trava [24]
Given:
2x - 3y = -6  ⇒ identified as 1st equation
x + 2y = 8    ⇒ identified as 2nd equation

Let us first get the value of x using the 2nd equation.
x + 2y = 8
x = 8 - 2y

Substitute x in the 1st equation with its value and find the value of y.
2x - 3y = -6
2(8-2y) - 3y = -6
16 - 4y -3y = -6
-4y - 3y = -6 -16
-7y = - 22
y = -22/-7
y = 22/7 simplified to 3 1/7

Substitute the value of y in the 2nd equation.
x = 8 - 2y
x = 8 - 2(22/7)
x = 8 - 44/7
x = (8 * 7/7) - 44/7
x = 56/7 - 44/7
x = (56-44)/7
x = 12/7 simplified to 1 5/7

To check:  x = 12/7 and y = 22/7  *we need to use the improper fractions.
2x - 3y = -6
2(12/7) - 3(22/7) = -6
24/7 - 66/7 = -6
(24-66)/7 = -6
-42/7 = -6
-6 = -6

x + 2y = 8
12/7 + 2(22/7) = 8
12/7 + 44/7 = 8
(12+44)/7 = 8
56/7 = 8
8 = 8

8 0
3 years ago
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