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DerKrebs [107]
3 years ago
6

Which system of equations is represented by the graph? Picture attached

Mathematics
2 answers:
STatiana [176]3 years ago
6 0
None


the slope of the suggested lines is either 1 or -1
and none of the equal to the slope of the red line in the graph wichc is 2
koban [17]3 years ago
4 0

Answer:

It's C : y=x

           y=\frac{-x+10}{x-4}

Step-by-step explanation:

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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
lamont cotton is 4% comission on the first 10,000 of monthly sales mens 10% on all sales over 10,000. last month his 38,00. what
Pani-rosa [81]

Given:

Lamont cotton is 4% commission on the first 10,000 of monthly sales and 10% on all sales over 10,000.

Consider his last month sales is 38,000.

To find:

The total commission.

Solution:

4% commission on the first 10,000 of monthly sales is

10,000\dfrac{4}{100}=400

Sales over 10,000 is

38,000-10,000=28,000

10% commission on all sales over 10,000 is

28,000\times \dfrac{10}{100}=2,800

Now, the total commission is

400+2,800=3,200

Therefore, the total commission is 3,200.

8 0
3 years ago
A candle maker has 4 1/2 pound of clear wax. He wants to cut the wax into pieces that are 2/3 pound each.
Vedmedyk [2.9K]
4 1/2 / 2/3 = 6 3/4
6 0
3 years ago
Pls hurry on the bottom i9s what web its on pls pls hurry
Vaselesa [24]
The answer is A, as it is 3 over on the x axis and 12 up on the y
3 0
3 years ago
Read 2 more answers
Explain if you can please and thank you
svetlana [45]

<u>Given</u>:

Given that the angles of the kite.

The opposite angles of the kite measures (3y + 14)° and (y + 50)°

We need to determine the value of y.

<u>Value of y:</u>

We know the property that the opposite angles are equal.

Thus, applying the property, we have;

3y+14=y+50

Subtracting both sides of the equation by y, we have;

2y+14=50

Subtracting both sides of the equation by 14, we get;

2y=36

Dividing both sides of the equation by 2, we get;

y=18

Thus, the value of y is 18.

4 0
3 years ago
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