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Pavlova-9 [17]
2 years ago
8

Simplify the expression x(2x + 3) + (x - 3)(x - 4)

Mathematics
1 answer:
Art [367]2 years ago
6 0
<span>x(2x + 3) + (x - 3)(x - 4)
=2x^2 + 3x +x^2 -3x -4x + 12
=3x^2 - 4x  + 12</span>
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What is 6 divided by 812
maksim [4K]
6 divided by 812 is very difficult to do without using a calculator - I would suggest the bus shelter method, as I've shown in the photo attached, but it is still quite difficult to use that method without a calculator.

<em>If</em>, however, you mean 812 divided by 6, that is a lot easier to calculate using the bus shelter method - so, just in case, I've attached the method for that too.

6 divided by 812 = 0.007389...

4 0
3 years ago
The table above displays the half-lives of 5 common house hold drugs. The half-life (h) is the time is takes for a substance to
Nikitich [7]

Answer:

hey, did u do it? if u did can i pleasseee have the answer?

Step-by-step explanation:

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7 0
3 years ago
Drag each number to the correct location on the equation. Not all numbers will be used.
sveticcg [70]

Answer:

The equation of the hypotenuse line is y = -3·x + 9

Therefore, the correct options are -3 and 9

Step-by-step explanation:

The question asks to fill the boxes

y = _ x + _

We note that the equation is that of a straight line of the form;

y = m·x + c

Where:

m = Slope of the straight line graph and

c = Y intercept, that is the y-coordinate of the point on the line where x = 0

From the graph, we find the slope as follows;

Slope = \frac{y_2 - y_1}{x_2 -x_1} = \frac{(-9) -0}{6-3} = -3

Therefore, m = -3

The y intercept is found by extending the hypotenuse line to the point where it touches the y axes that is at x = 0;

From the graph, it is observed that the line, when extended, touches the y axes at the point y = 9, therefore, c = 9

Hence we have, the equation of the hypotenuse line is y = -3·x + 9.

8 0
3 years ago
Divide 794.1 by by 76.1 round off your answer to two decimal places
valentina_108 [34]

Answer:

794.1 ÷ 76.1= 10.4349.54

Round to the nearest whole number = 6

Round to the nearest tenth=5.6

Round to the nearest Hundredths=5.63

Round to the nearest Thousandth=5.635

7 0
2 years ago
Mited
Natasha_Volkova [10]

9514 1404 393

Answer:

  • relative minimum -6√3 at x = -√3
  • relative maximum 6√3 at x = √3
  • decreasing on x < -√3 and x > √3
  • increasing on -√3 < x < √3
  • see below for a graph

Step-by-step explanation:

I find it convenient to draw the graph first when looking for relative extrema.

The function can be differentiated to get ...

  f'(x) = -3x^2 +9

This is zero when ...

  -3x^2 +9 = 0

  x^2 = 3

  x = ±√3 . . . . . x-values of relative extrema

Then the extreme values are ...

  f(±√3) = x(9 -x^2) = (±√3)(9 -3) = ±6√3

The lower extreme (minimum) corresponds to the lower value of x (-√3), so the extrema are ...

 (x, y) = (-√3, -6√3) and (√3, 6√3)

__

Since the leading coefficient is negative and the degree is odd, the function is decreasing for values of x below the minimum and above the maximum. It is increasing for values of  x between the minimum and the maximum.

  decreasing: x < -√3, and √3 < x

  increasing: -√3 < x < √3

7 0
3 years ago
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