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3 years ago

Could someone help me

Mathematics

1 answer:

Leokris [45]3 years ago

4 0

The correct answer would be D and I'll explain why. The table is giving you coordinates that are supposed to be on the coordinate plane. When reading coordinates and placing them on a plane x goes before y. Therefore the first point would be (3, -4). Because 3 is x, you need to go along the x-axis until you find a positive 3 - which would be to your right. Next is -4 on the y-axis, which would be the vertical line. The positives will always be above and to the right. Since it's a negative number, you go down until you find a negative 4. Now that you've found where 3 and -4 is, see where they intersect and that's where the point will be. Now, you can continue like this for the rest of the coordinates.

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Which expression is equivalent to \root(3)((10x^(5))/(54x^(8)))? Assume x>=0

Oksana_A [137]

In this case we have to simplify in order to find the correct expression.

Follow these steps and refer to the picture shown below to better understand the steps and to know how it was solved.

Step 1:
-Reduce the expression by cancelling the common factors

Step 2:
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Step 3:
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Step 4:
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5 0

3 years ago

Which state ment is true? 1) The y-intercept of Function A is greater than the y-intercept of Function B 2) the y-intercept of f

dolphi86 [110]

Answer:

I believe the answer is 1)

Step-by-step explanation:

6 0

3 years ago

I’m unsure of what this is. help someone

JulsSmile [24]

Let's analyze each part of the function:

FROM x = 0 TO x = 5:

We can find the equation of this line by using The Slope-Intercept Form of the Equation of a Line, that states:

$The \ graph \ of \ the \ equation: \\ \\ y=mx+b \\ \\ is \ a \ line \ whose \ slope \ is \ m \ and \ whose \ y-intercept \ is \ (0, b)$

So the y-intercept here is $(0,4)$ and $m=\frac{4}{5}$ , therefore:

$\boxed{y=\frac{4}{5}x+4}$

FROM x = 0 TO x = 5:

From the previous line, we know that at $x=5$ the output is:

$y=\frac{4}{5}x+4 \\ \\ y=\frac{4}{5}(5)+4 \\ \\ y=4+4=8$

So the point $P_{1}(5,8)$ lies on both lines.

For this new line, the slope is $m=-\frac{3}{5}$

So, with the Point-Slope Form of the Equation of a Line we can find the equation of this other line:

$The \ equation \ of \ the \ line \ with \ slope \ m \\ passing \ through \ the \ point \ (x_{1},y_{1}) \ is:\\ \\ y-y_{1}=m(x-x_{1})$

So:

$y-8=-\frac{3}{5}(x-5) \\ \\ y=8-\frac{3}{5}x+3 \\ \\ \boxed{y=-\frac{3}{5}x+11}$

The graph is shown below.

The graph of the linear function $f(x)=ax+b$ is a line with slope $m=a$ and $y-intercept$ at $(0,b)$ . From the items, we can assure that the following equations are linear functions:

$\bullet 3y=2x-1.5 \ because \ y=\frac{2}{3}x-\frac{1}{2} \\ \\ \\ \bullet y=1 \ because \ y=m(0)+1 \\ \\ \\ \bullet 5(x+y)=-25 \ because \ 5x+5y=-25 \ \therefore 5y=-5x-25 \therefore y=-x-5$