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3 years ago

When Marla rounded 19.95 to the nearest tenth she found the number change to 20 is this correct. Explain

1 answer:

5 0

Yes, because a number that is 5 or higher, rounds up. so the five would make the 9 round up, which would make the 19 go to a 20

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For the function F(x) = 2x^2-31x-51, where is the function increasing and positive? ( for all X values greater than what number

Ulleksa [173]

ANSWER
$x \: > \: 17$

EXPLANATION

The given function is

$f(x) = 2 {x}^{2} - 31x - 51$
Let us split the middle term to get,

$f(x) = 2 {x}^{2} -34x + 3x- 51$

We factor to obtain,

$f(x) = 2x(x - 17) -+3(x - 17)$

$f(x) = (2x -+3)(x -17)$

Let us find the zeros of f(x),

$(2x +3)(x - 17) = 0$

Either

$2x +3 = 0 \: or \: x - 17 = 0$
$x = -\frac{3}{2} \: or \: x = 17$

We need to find the x-value of the vertex, which is the midpoint of the x-intercepts.

This gives us,

$\frac{- \frac{3}{2} + 17}{2} = 7.75$
Hence the axis of symmetry of the parabola has equation,

$x = 7.75$

Since the given function has minimum turning point, it will decrease and then increase.

The function will be increasing for
$x \: > \: 7.75$

The function will be increasing and positive for
$x \: > \: 17$

7 0

3 years ago

For every planet, no matter it’s period, or distance, period squared and distance cubed (equation p2d3 OR P*P/d*d*d) is the ____

Vladimir [108]

I think the answer will be B

5 0

3 years ago

Which statement best explains whether the table represents a linear or nonlinear function?

Marta_Voda [28]

Answer: A.) It is a linear function because there is a constant rate of change in both the input and output values.

============================================================

Explanation:

Note how x is decreasing by 3 each time

-2-3 = -5
-5-3 = -8
-8-3 = -11

At the same time, y is also decreasing by 3 each time

7-3 = 4
4-3 = 1
1-3 = -2

This means we have a linear function. We have,

slope = (change in y)/(change in x)

slope = (-3)/(-3)

slope = 1

Recall that slope is another term for rate of change, so a constant slope means we have a constant rate of change.

----------------

Another way to find the slope is to pick any two points from the table and use the slope formula

m = (y2 - y1)/(x2 - x1)

You should find that any two points you pick will lead to a slope of 1. I recommend you try out all possible pairs to help convince yourself the slope is 1.

7 0

3 years ago

NEED DONE ASAP 20 PTS!!!!!!

gayaneshka [121]

X23 yo mama do ya own work

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3 years ago

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(Geometry) How many regions would a net for a three-dimensional solid like the one shown have?

Phantasy [73]

The answer would be 8

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3 years ago

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