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MaRussiya [10]
1 year ago
10

The minimum value of Y in the equation y = x2 - 6x + 8

Mathematics
1 answer:
murzikaleks [220]1 year ago
8 0

Given

y=x^2-6x+8

To obtain the minimum value of y, we first take the derivative of y

The derivative of y is:

y^{\prime}=2x-6

Equating

y^{\prime}\text{ = 0}

gives the minimum value we require.

Doing that, we have:

2x-6=0

So that

\begin{gathered} 2x=6 \\ x=\frac{6}{2} \\ =3 \end{gathered}

Therefore, the minimum value is x = 3

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Find the rule. *
DiKsa [7]

Answer:

y = x - 7

Step-by-step explanation:

You take each equation and sub in for x and y.

The first equation would look like this:

16 = 2(23) - 30  Then you answer looks like this:

16 = 16 but if you did that for the second set in the column it looks like this:

18 = 2(25) - 30

18 = 50 - 30

18 = 20 which does not equal canceling the first answer.

And the second answer doesn't make sense because if x > y you shouldn't add to x. The same goes for the third answer.

So that leaves only one answer y = x - 7

Hope this helps

Sorry if this answer is long

GeneralGranato777

7 0
2 years ago
Please help thanks so much
Katarina [22]

Answer:

y = \frac{-3}{2}x -- 2

Step-by-step explanation

We need to fill out the formula y = mx + b.

First, we must find out what each part of that formula means.

mx = slope

b = y-intercept

y = solution (Always unknown)

We already know the slope of the formula, so we can fill that out.

y = \frac{-3}{2}x + b

If it has a slope of -3/2, then that means it is moving down 3 points and moving  to the right 2 points to find the next line. because rise over run.

If it passes through the point (-4, 4) then from their subtract 3 to 4, and 2 to -4.

This means the next point it will reach is (-2, 1). Once again, subtract 3 from 1, and add 2 to -2.

The next point it will reach is (0, -2) This gives us the y-intercept of the equation.

Now we can fill out the rest of the formula!

y = \frac{-3}{2}x -- 2

4 0
3 years ago
Fone the slope of a line that is perpendicular x = -12
Vinvika [58]

Answer:

m [slope] = 1/12

Step-by-step explanation:

If a line is perpendicular (90 degrees, forms a right angle) to another, the slope of the line must be an opposite reciprocal of the other. The opposite reciprocal of m is -1/m.

An opposite reciprocal is created by flipping the numerator and denominator, and making it negative.

Therefore, if m is -12 it's opposite reciprocal is -1/-12 = <u>1/12</u>.

8 0
3 years ago
Katrin is making a poster for school elections. She draws a line 20.4 cm long across the poster board. She starts at one end of
nevsk [136]
Well, to find out how many times 20.4 can split into 3.4, you need to divide 20.4÷3.4 and you will get 6, and Katrin (K-A-T-R-I-N) is 6 letters, so you have enough room, the answer is yes.
3 0
3 years ago
Which of the models represents cars as 37 1/2 of the total vehicles?
Aleonysh [2.5K]

Answer:from my understanding it should be D I would wait for someone else to answer just in case I’m wrong.

7 0
3 years ago
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