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Natali5045456 [20]
3 years ago
12

Type the correct answer in the box.

Mathematics
1 answer:
zhenek [66]3 years ago
8 0

Using Excel formulas

 =LARGE(A1:A20, 1)/COUNT (A1:A20)

 Count (Ai:An) Function that allows to count the total number of values in a cells range between Ai and An that contain only numbers.

 Large (Ai:An, k) Function that allows to find the value of the largest number in a cells range between Ai and An, the number k determine the k-th largest value

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The minimum/maximum value of the function y = a(x − 2)(x − 1) occurs at x = d, what is the value of d?
daser333 [38]

Answer:

d=\frac{3}{2}=1.5

Step-by-step explanation:

We have the function:

y=a(x-2)(x-1)

And we want to find x=d for which the minimum/maximum value will occur.

Notice that our function is a quadratic in factored form.

Remember that the minimum/maximum value always occurs at the vertex point.

And remember that the x-coordinate of the vertex is the axis of symmetry.

Since a quadratic is always symmetrical on both sides of its axis of symmetry, a quadratic’s axis of symmetry is the average of the two roots/zeros of the quadratic.

Therefore, the value x=d such that it produces the minimum/maximum value is the average of the two roots.

Our factors are <em>(x-2) </em>and <em>(x-1)</em>.

Therefore, our roots/zeros are <em>x=1, 2</em>.

So, the average of them are:

d=\frac{1+2}{2}=3/2=1.5

Therefore, regardless of the value of <em>a</em>, the minimum/maximum value will occur at <em>x=d=1.5</em>.

Alternative Method:

Of course, we can also expand to confirm our answer. So:

y=a(x^2-2x-x+2)\\y=a(x^2-3x+2)\\y=ax^2-3ax+2a

The x-coordinate of the vertex is still going to be the place where the minimum/maximum is going to occur.

And the formula for the vertex is:

x=-\frac{b}{2a}

So, we will substitute <em>-3a</em> for <em>b</em> and <em>a</em> for <em>a</em>. This yields:

x=-\frac{-3a}{2a}=\frac{3}{2}=1.5

Confirming our answer.

4 0
3 years ago
Mount Kilimanjaro is the highest mountain peak in Africa with an elevation of 19,341 feet. What is the
s344n2d4d5 [400]

Answer:

it is 40

Step-by-step explanation:

because 4 is in the tens place value off  that number so then i think the answer is 40

8 0
3 years ago
Trying to find the right answer to an improper fraction as a mixed number 4 / 3.
svetlana [45]
1 1/3 is the answer 

you have to subtract the numerator of the improper fraction  from the denominator and the number you have left is the fraction like for 4/3    4-3=1 so the fraction is 1/3 the amount that is NOT a fraction counts as the whole depending on how many times it can go into the denominator.
6 0
3 years ago
Read 2 more answers
As a member of a consumer group, you are interested in determining if the average number of crisps per can of Pringles is less t
Elza [17]

Answer:

Option A. The average number of crisps per can of Pringles is less than 100.

Step-by-step explanation:

We are given that the member of consumer group is wants to determine whether the average number of crisps per can of pringles is less than the average number of crisp mentioned in an advertisement whereas average number of crisp mentioned in an advertisement are 100 crisps per can. We know that the null hypothesis always contains equality and alternative hypothesis is contrary to the null hypothesis. Thus, the alternative hypothesis would be that the average number of crisps are less than 100 per can. So, the formed hypothesis are

Null hypothesis: The average number of crisps per can of Pringles is 100.

Alternative hypothesis: The average number of crisps per can of Pringles is less than 100.

6 0
3 years ago
If A=0 and E=1, what is the value of C
daser333 [38]

Answer:

C=2

Step-by-step explanation:

(26/3 so remainder =2) place of C in alphabet = 3


7 0
3 years ago
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