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qaws [65]
3 years ago
10

The first steps in writing f(x) = 4x2 + 48x + 10 in vertex form are shown.

Mathematics
2 answers:
OverLord2011 [107]3 years ago
8 0

Answer: the answer is C

Step-by-step explanation:

I took the test

seraphim [82]3 years ago
4 0

Keywords:

<em>Quadratic equation, vertex shape, parabola </em>

For this case we have to rewrite the given quadratic equation, in the form of vertex, for this, we must take into account that a quadratic equation of the form ax ^ 2 + bx + c = 0, can be rewritten in the form of vertex as: y = a (x-h) ^ 2 + k. Vertice is the lowest or highest point of the parabola. The vertex is given by: (h, k). So, let: f (x) = 4x ^ 2 + 48x + 10, to find the equation in the form of vertex, we follow the steps below:

Step 1:

We take the common factor to the first two terms of the equation:

f (x) = 4 (x^2 + 12x) + 10

Step 2:

We work square:

We divide the coefficient of the term "12x" by 2 and its result is squared, that is:

(\frac {12} {2}) ^ 2 = 36

So, we have:

f (x) = 4 (x^2 + 12x + 36-36) + 10

Step 3:

We simplify:

f (x) = 4 (x^2 + 12x + 36) + 10- (4 * 36)

Step 4:

We factor:

f (x) = 4 (x + 6) ^ 2-134

Thus, h = -6\ and\ k = -134

Answer:

The equation in the form of vertex is: f (x) = 4 (x + 6) ^ 2-134, and the vertex is (h, k) = (- 6, -134)

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27/2. 3x3x3 is 27.                                   .

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3 years ago
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4x-5y=15<br> can someone plz explain this
AVprozaik [17]
Well if you are solving for y 
the answer is 

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7 0
3 years ago
Charlie invests £1200 at 3.5% per annum compound interest.
lbvjy [14]

Answer:

<h2>£1,330.46</h2>

Step-by-step explanation:

Using the compound interest formula A = P(1+\frac{r}{n} )^{nt}

A = amount compounded after n years

P = principal (amount invested)

r = rate (in %)

t = time (in years)

n = time used to compound the money

Given P =  £1200., r = 3.5%, t = 3years, n = 1 year(compounded annually)

A = 1200(1+0.035)^{3}\\ A = 1200(1.035)^{3}\\ A = 1200* 1.108717875\\A = 1,330.46

Value of Charlie's investment after 3 years is £1,330.46

6 0
3 years ago
The area of a rectangle or a 48 square inches the length is 8 inches what is the measure of its width
adoni [48]
6 inches because area= length times width and 6 times 8= 48 inches
5 0
3 years ago
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In problems 1-3, a and b are legs and c is the hypotenuse. Find the missing side length of the
Readme [11.4K]

Answer:

1. b=39.497

2. c=3.606

3. a=18.974

Step-by-step explanation:

1.

41^2-11^2=b^2

1681-121=b^2

b^=1560

b=39.497

2.

2^2+3^2=c^2

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21^2-9^9=a^2

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4 0
2 years ago
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