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3 years ago

Rewrite the quadratic function in vertex form. Y=3x^2-12x+4

Mathematics

1 answer:

chubhunter [2.5K]3 years ago

4 0

Answer:

$\large\boxed{y=3(x-2)^2-8}$

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

$f(x)=a(x-h)^2+k$

(h, k) - vertex

$h=\dfrac{-b}{2a},\ k=f(h)$

We have the equation:

$y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4$

Substitute:

$h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8$

Finally:

$y=3(x-2)^2+(-8)=3(x-2)^2-8$

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Find the simple interest paid on $2840 dollars if it is borrowed at 5.25% for 6 years

12345 [234]

Answer:

Hope this helps :)

4 0

3 years ago

Read 2 more answers

Pls help soon:)

Tanzania [10]

Correct answers are:
(1) 28, 141 known cases
(2) 79913.71 known cases after six weeks (round off according to the options given)
(3) After approx. 9 weeks (9.0142 in decimal)

Explanations:
(1) Put x = 0 in given equation
y= 28, 141 (1.19)^x
y= 28, 141 (1.19)^(0)
y= 28, 141

(2) Put x = 6 in the given equation:
y= 28, 141 (1.19)^x
y= 28, 141 (1.19)^(6)
y= 79913.71

(3) Since
y= 28, 141 (1.19)^x
And y = 135,000

135,000 = 28, 141 (1.19)^x
135,000/28, 141 = (1.19)^x

taking "ln" on both sides:
ln(4.797) = ln(1.19)^x

ln(4.797) = xln(1.19)
x = 9.0142 (in weeks)

5 0

3 years ago

I need an answer really quick.

saul85 [17]

Answer:

Switch to the other streaming service

Step-by-step explanation:

So, 96$ with a 12% increase is $107.52.

But if you do 8.75×12 you get $105.

So Clare should switch to the other music stream.

8 0

2 years ago

A rectangle's length to width ratio is 9:4. If its length is 14 cm more than its width, what is its area?

sergiy2304 [10]

The area of the rectangle should be 87.1cm^2

6 0

3 years ago

Complete the function remove_all(L, x) so that, given a list L and a target value x, it returns a copy of the list that excludes

tia_tia [17]

Answer:

Code is given below along with explanation and output.

Step-by-step explanation:

we can use the method of list comprehension to achieve the given task.

In a list comprehension, we create a sub-list of elements which satisfy specific conditions. the condition i !=x makes sure that x would be excluded in the modified list.

def remove_all(L, x):

return [i for i in L if i != x]

L = [1, 2, 3, 4, 5, 6, 4, 3, 2, 4 ]

print('Before =',L)

L = remove_all(L, 4)

print('After =',L)

Output:

Before = [1, 2, 3, 4, 5, 6, 4, 3, 2, 4]

After = [1, 2, 3, 5, 6, 3, 2]

As you can see we have successfully removed the multiple occurrence of x=4 while preserving the order of the list.

4 0

3 years ago