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Lostsunrise [7]
3 years ago
10

Which form of a quadratic function is easiest to use when finding the maximum or minimum value of the function?

Mathematics
2 answers:
BaLLatris [955]3 years ago
7 0

Answer:

Vertex form

Step-by-step explanation:

There are several forms of the quadratic equation

Standard form: y = ax^2 + bx + c which is useful for the quadratic equation and the axis of symmetry

Factored form: y = (ax - c)(bx - d)   which will give us the zeros

and

Vertex form: y = a(x - h)2 + k where ( h,k) is the vertex

The maximum and minimum would be the value of k

It would be maximum when a >0 and minimum when a<0

alexandr402 [8]3 years ago
4 0

Answer:

ax² + bx + c

Step-by-step explanation:

The form of a quadratic equation that is easy to use when finding the maximum or minimum value of the function is ax² + bx + c.

Suppose a quadratic function:

f(x) = 2x² - 8x + 9

Use ( -b/2a ,  f(-b/2a) ).

-b/2a

a = 2

b = -8

-(-8)/2(2)

8/4

= 2

f(2) = 2(2)² - 8(2) + 9

f(2) = 2(4) - 8(2) + 9

f(2) = 8 - 16 + 9

f(2) = 1

The minimum value of this quadratic function is (2, 1).

It represents a minimum value because a > 0.

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zavuch27 [327]

Answer:

1) x=0.465

2) option A.

Step-by-step explanation:

1) The given equation is:

{3}^{x + 2}  = 15We rewrite this as logarithm to get:

x + 2 =  log_{3}(15)

The change of base formula is:

log_{b}(y)  =  \frac{ log(y) }{ log(b) }

We apply the change of base formula on the RHS to get:

x + 2 =  \frac{ log(15) }{ log(3) }

x + 2 =  \frac{1.176}{0.477}

x + 2 = 2.465

Group similar terms:

x = 2.465 - 2.000 = 0.465

2)

From the graph, the logarithmic function approaches negative infinity as x approaches -6.

Therefore the vertical asymptote is x=-6

The graph touches the x-axis at x=-5, therefore the x-intercept is x=-5.

The correct answer is A.

6 0
3 years ago
I’m confused on this question, please help me. (Ignore the black coloring, sorry.)
neonofarm [45]
To answer this question you will find out the total number of cupcakes donated and then calculate the amount of each flavor based on the percentage that is stated.

Here are the steps:

1. 12 x 10 x 12 (12 classes each donating 10 dozen) = 1440

2. 0.55 x 1440 (55% are chocolate) = 792 chocolate

3. 1440 - 792 (the remaining number of cupcakes)=648

4. 1/3(33 1/3%) x 648 = 216 red velvet

5. 1440 - 792 (chocolate) - 216 (red velvet) = 432 vanilla cupcakes

Chocolate-792
Red velvet - 216
Vanilla - 432

3 0
2 years ago
GEOMETRY HELP PLZ
tangare [24]

Answer:

0.324

0.068

Step-by-step explanation:

If Russell is 5'9" ; then he is under 6 feets :

Probability = number of forwards under 6 feets / tot number of players

Probability = 120 / 370 = 0.324

Peter is 6'2" ; Peter is over 6 feets ;

Probability that Peter is a guard = (number of guards over 6 feets / total number of players) = 25 / 370 = 0.0676 = 0.068

8 0
2 years ago
Find percent notation for the fraction notation in the sentence given below.
Kruka [31]
9/20 = .45

41/100 = .41
8 0
2 years ago
Find 8 and one third percent of 144
madam [21]
\bf 8\frac{1}{3}\implies \cfrac{8\cdot 3+1}{3}\implies \cfrac{25}{3}&#10;\\\\\\&#10;now\qquad \cfrac{\frac{25}{3}}{100}\implies \cfrac{\frac{25}{3}}{\frac{100}{1}}\implies \cfrac{25}{3}\cdot \cfrac{1}{100}\implies \cfrac{1}{3\cdot 4}\implies \cfrac{1}{12}&#10;\\\\\\&#10;8\frac{1}{3}\%\ of\ 144\implies  \left( \cfrac{\frac{25}{3}}{100} \right)\cdot 144\implies \cfrac{1}{12}\cdot 144\implies \cfrac{144}{12}\implies 12
3 0
2 years ago
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