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Brut [27]
3 years ago
13

Does the function f(x) = 2x^2− 6x + 9 have a minimum or a maximum? Identify its value.

Mathematics
1 answer:
exis [7]3 years ago
4 0

Answer:

minimum value of function is   \frac{45}{8} .

Step-by-step explanation:

Given function represents a parabola.

Now, here coefficient of x^{2} is positive , so the parabola will be facing upwards and thus the function will be having a minimum.

Now, as we know that minimum value of a parabolic function occurs at

x = \frac{-b}{4a} .

Where , b represents the coefficient of x and a represents the coefficient of x^{2} .

here, a = 2 , b = -6

Thus \frac{-b}{4a} = \frac{6}{8}

                                            =  \frac{3}{4}

So, at x =  \frac{3}{4}  minimum value will occur and which equals

y = 2×\frac{9}{16} - \frac{18}{4} + 9 =  \frac{45}{8} .

Thus , minimum value of function is   \frac{45}{8} .

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A restaurant offers a combo special with 3 different sandwiches, 2 different salads, and 5 different drinks. From how many diffe
m_a_m_a [10]

Answer:

30 ways

Step-by-step explanation:

Given the following information:

  • 3 different sandwiches
  • 2 different salads
  • 5 different drinks

Let assume that the combo contains:  1 sandwich, 1 salad, and 1 drink

Hence, we have:

  • The total possible ways of choosing sandwiches she can choose is: 3
  • The total possible ways of choosing salads she can choose is: 2
  • The total possible ways of choosing drinks she can choose is: 5

=> Total ways = 3*5*2 = 30 ways or there are 30 different combos Keisha can choose

Hope it will find you well.

5 0
3 years ago
A recipe call for 5 teaspoons of seasoning for every 6 batches of chicken. If you have 12 batches of chicken, how many teaspoons
gayaneshka [121]

You’ll need 10 teaspoons because 6 x 2 is 12, so 5 x 2 is 10

7 0
3 years ago
Read 2 more answers
The sum of two consecutive even integers is 66. Find the numbers.
evablogger [386]
Let the consecutive even numbers be n and n+2.
From given condition, 
n + n+2 = 66
2n = 64
∴ n = 32.
Therefore, the two consecutive even numbers are.
n = 32 and n+2 = 34.
4 0
3 years ago
What is 2 5/7 as a decimal?
julsineya [31]
25.7 because that is the answer
8 0
3 years ago
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2. Perpendicular to y=1/2x -6 that passes through (6,-4) <br> PLEASE HELP ME ASAP
iren [92.7K]

Answer:

To get the slope (which we'll call n) of a line perpendicular to another line with slope (a/b), use

n = \frac{-b}{a}

Then we just plug in the point we want to cross and solve for the constant.

Step-by-step explanation:

we see that m = \frac{1}{2}

so, n = -\frac{2}{1} = -2

now we have the equation

-2x + b = y

plugging in (6, -4) we get

-2(6) + b = -4\\-12+b = 4\\b=4+12=16

This gives us our function

y = -2x + 16

3 0
1 year ago
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