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Inga [223]
2 years ago
9

I guess i might ask a random question for once How many half of days are there in a year?

Mathematics
1 answer:
lisov135 [29]2 years ago
5 0
730
I think but I am not sure.
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Heeeeeeeeeeellllllllllllllllllllllllllllpppppppppppppppppppppp
Ira Lisetskai [31]

Answer:

A

Step-by-step explanation:

4 0
2 years ago
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
2 years ago
Find the slope of the line passing through the points (-5, 3) and (7,9).
dybincka [34]

Answer:

\huge\boxed{slope=\dfrac{1}{2}=0.5}

Step-by-step explanation:

The formula of a slope:

m=\dfrac{y_2-y_1}{x_2-x_1}

We have the points

(-5;\ 3)\to x_1=-5;\ y_1=3\\(7;\ 9)\to x_2=7;\ y_2=9

Substitute:

m=\dfrac{9-3}{7-(-5)}=\dfrac{6}{7+5}=\dfrac{6}{12}=\dfrac{6:6}{12:6}=\dfrac{1}{2}

5 0
3 years ago
Read 2 more answers
Select the correct answer which type of function best models the data?
vitfil [10]

Answer:

D, liner function

Step-by-step explanation:

number of employees goes up every year. If graphed it would be a line.

8 0
2 years ago
A homeless shelter received donations of 18 mittens and 12 winter hats. What is the greatest number of identical winter clothing
Daniel [21]

216........................


8 0
3 years ago
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