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Rus_ich [418]
3 years ago
10

Create a graph that has the following intercepts. Make sure to label each of the intercepts on

Mathematics
1 answer:
SCORPION-xisa [38]3 years ago
7 0

Answer:

  see below for the graph

Step-by-step explanation:

The desired graph has two y-intercepts and one x-intercept. It is not the graph of a function.

Here's one way to get there.

__

Start with the parent function y = |x| and scale it down so that it has a y-intercept of -1 and x-intercepts at ±1.

Now, it is ...

  f(x) = |x| -1

We want to scale this vertically by a factor of -5. this puts the y-intercept at +5 and leaves the x-intercepts at ±1.

Horizontally, we want to scale the function by an expansion factor of 3. The transformed function g(x) will be ...

  g(x) = -5f(x/3) = -5(|x/3| -1) = -5/3|x| +5

This function has two x-intercepts at ±3 and one y-intercept at y=5. By swapping the x- and y-variables, we can get an equation for the graph you want:

  x = -(5/3)|y| +5

______

<em>Comment on this answer</em>

Since there are no requirements on the graph other than it have the listed intercepts, you can draw it free-hand through the intercept points. It need not be describable by an equation.

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Identify an equation in point-slope form for the ine parallel to y = -2/3 x+8 that
zlopas [31]

Answer:

y +5 = -\frac{2}{3}(x - 4)

Step-by-step explanation:

Given

y = -\frac{2}{3}x + 8

Point (4,-5)

Required

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From the question, we understand that the line is parallel to y = -\frac{2}{3}x + 8

This implies that they have the same slope, m

A linear equation is:

y = mx + b

Where

m = slope

By comparison: y = mx + b and y = -\frac{2}{3}x + 8

m = -\frac{2}{3}

Next, we determine the line equation using:

y - y_1 = m(x - x_1)

Where

(x_1,y_1) = (4,-5) and m = -\frac{2}{3}

y - (-5) = -\frac{2}{3}(x - 4)

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Hence,

<em>Option C is correct</em>

<em />

4 0
3 years ago
PLS HELP ME ON THIS QUESTION I WILL MARK YOU AS BRAINLIEST IF YOU KNOW THE ANSWER PLS GIVE ME A STEP BY STEP EXPLANATION!!
motikmotik

<u>Given that</u> :

Diameter (d) = 18 cm

Pi (π) = 3.14

Radius (r) = d/2 = 18/2 = 9 cm

We know that volume of sphere is

Volume of Sphere = 4/3πr³

Volume = 4/3 × 3.14 × (9)³

Volume = 4/3 × 3.14 × 729

Volume = 4 × 3.14 × 243

Volume = 12.56 × 243

Volume = 3052.08

<u>Hence, the volume is 3052.08 cm³</u>

4 0
3 years ago
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