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3 years ago

Graph the line: y=2/3x-4

2 answers:

5 0

Graph the line using the slope and y-intercept, or two points.
Slope:
2
3
2
3
y-intercept:
(
0
,
−
4
)
(
0
,
-
4
)
x
y
0
−
4
3
−
2

kompoz [17]3 years ago

5 0

slope: $-\frac{3}{2}$

y-intercept: (0, -4) (answer let me know if i am wrong)

Y=2/3x-4 is in Slope - intercept form meaning you are shown the slope (how steep the line is) and the y intercept (where the equation hits the vertical axis)

With the given information, select the point (0, -4) on the graph, this is where the line crosses the y axis, as shown through the -4 in the equation.

Next, look at the slope and you'll see 2/3x. Slope is in format "rise over run" meaning the first number (2) is the vertical change, so up two, and the second number (3) is horizontal change, right 3.

Combine these two steps together and select point (0. -4) then the next point should be at (3,2), 2 units up and three to the right from the y intercept.

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What is the domain and range of the graph below in interval notation? If union is needed, use Capital U. If infinity is needed u

elena55 [62]

Answer:

DOMAIN: $(-\infty,1]\cup(2,\infty)$

RANGE: $(-\infty,\infty)$

Step-by-step explanation:

The domain of a graph is the span of x-values covered by the graph, while the range of a graph is the span of y-values covered by the graph.

DOMAIN:

From the graph, we can see that the x-values covers everything to the left of x=1. Then we stop and then continue beginning at x=2 all the way until positive infinity.

However, note that at x=1, the dot is a closed circle while at x=2, the dot is an open circle. Thus, we will include x=1 into our domain but not include x=2 into our domain.

So, our domain is all values greater than or less than 1, and all values greater than 2.

In interval notation, this is:

$(-\infty,1]\cup(2,\infty)$

We use brackets with the 1 because we include it in our domain and we use parentheses with the 2 since we do not.

RANGE:

Looking at the graph, it seems that all y-values are covered. The part of the graph on the left covers all y-values less than or equal to 3, while the part of the graph on the right covers all y-values greater than -1. Thus, all y-values are covered.

Our range is all real numbers.

In interval notation, this is:

$(-\infty,\infty)$

5 0

3 years ago

Slope Calculation (find the slope) Slope form —> y=mx+b (m is slope)<br><br> 3x=7y+21

Sindrei [870]

Solve for y:

3x = 7y + 21

~Subtract 7y to both sides

3x - 7y = 21

~Subtract 3x to both sides

-7y = 21 - 3x

~Divide -7 to both sides

y = -3 + 3/7x

~Change order

y = 3/7x - 3

Best of Luck!

7 0

3 years ago

Tom is throwing darts at a target. In his last 30 throws, Tom has hit the target 20 times. You want to know the estimated probab

Musya8 [376]

Each scenario can be used to simulate probability, and there are 3 correct scenarios and 2 incorrect scenarios in the list of options

<h3>How to categorize the simulations?</h3>

From the question, we have the following parameters:

Number of throws = 30
Number of hits = 20

This means that the probability of hit is:

P(Hit) = 20/30

Simplify

P(Hit) = 2/3

Using the complement rule,

P(Miss) = 1/3

The above means that the simulation that represents the situation must have the following parameters:

P(Success) = 2/3
P(Failure) = 1/3
Number of experiments = 3

Using the above highlights, the correct scenarios are:

Rolling a die three times with numbers 1 to 4 representing a hit
Spinner a spinner of 3 equal sections three times with two sections representing hit
Spinner a spinner of 6 equal sections three times with four sections representing hit

Graph the line: y=2/3x-4​

Graph the line: y=2/3x-4