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3 years ago

If (-3, y) lies on the graph of y = 3x, then y = a. 1/27 b. -1 c. -27

Mathematics

2 answers:

Assoli18 [71]3 years ago

4 0

<u>Answer:</u>

The correct value of y = -9.

<u>Step-by-step explanation:</u>

We know that there is a graph which represents the line $y = 3x$ and we are given a point (-3, y).

If this point (-3, y) lies on the graph, then we are to find the value of y.

For that, we will substitute the given coordinate of x in the equation of the line to find y:

$y = 3x$

$y=3(-3)$

$y = -9$

Therefore, the correct value of y is -9.

leonid [27]3 years ago

3 0

Answer:

y = -9

(-3 , - 9)

Step-by-step explanation:

Given that the equation of graph

y = 3x

and the co-ordinates are ( -3 , y )

where x = -3

So, put the value of x in the equation of graph above

y = 3(-3)

y = -9

The above answer is not in the options maybe the option is missing or something in question is missing. Let me know if question is not right so i can solve the right one for you.

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Answer:

The true statements include

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- The amplitude is 1

- The vertical shift is 0

- An equation for this graph is y = sin(x)

The only untrue statement is

- The graph follows the zero-max-zero-min-zero pattern.

Step-by-step explanation:

Observing the graph of the function presented, one can examine the options and pick the true options from them all.

Statement 1

The graph follows the zero-max-zero-min-zero pattern.

From the graph, it is obvious that this is a false claim as the graph doesn't follow a zero-max-zero-min-zero pattern, rather, its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.

Statement 2

This is the pattern for a sine function.

This is true. A sine wave follows the exact pattern that this plot follows; its values range from 0 to 1 to 0 to -1, then it goes back to zero to repeat the cycle all over.

Statement 3

The amplitude is 1

This is true. The amplitude of a motion of a body refers to the maximum displacement of that body from the equilibrium position. From this plot, it is evident that that amplitude is 1 for the vertical motion of this barnacle.

Statement 4

The vertical shift is 0

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Statement 5

An equation for this graph is y = sin(x)

This is true. As described under statement 2 and as evident from the corresponding values of x and y from the plot; with x in radians, the values of y can be obtained by taking the sin of the value of x, indicating that this plot is a plot of y = sin x

Hope this Helps!!!

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3 years ago

Read 2 more answers

-3(2b-7) in stander from asap

3241004551 [841]

Answer:

Step-by-step explanation:

= > - 3 ( 2b - 7 )

= > - 6b + 21

<h3>Hope it helps you!</h3>

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2 years ago

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Anit [1.1K]

Answer:

Step-by-step explanation:

The answer would be B, because the y-intercept is positive. To double check I used an online graphing calculator and it is correct.

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3 years ago

ALGEBRA 1, SEMESTER 2

SIZIF [17.4K]

So firstly, we have to find f(x) when x = 8 and x = 0. Plug the two numbers into the x variable of the function to solve for their f(x):

$f(0)=\frac{2*0+3}{3*0-3}\\ f(0)=\frac{0+3}{0-3}\\ f(0)=\frac{3}{-3}\\ f(0)=-1\\ \\ f(8)=\frac{2*8+3}{3*8-3}\\ f(8)=\frac{16+3}{24-3}\\ f(8)=\frac{19}{21}$

Now that we have their y's, we can use the slope, aka average rate of change, formula, which is $\frac{y_2-y_1}{x_2-x_1}$ . Using what we have, we can solve it as such:

$\frac{\frac{19}{21}-(-1)}{8-0}=\frac{\frac{40}{21}}{8}=\frac{40}{21*8}=\frac{40}{168}=\frac{5}{21}$

In short, the average rate of change from x = 0 to x = 8 is 5/21.

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3 years ago

He dimensions are tripled. The new surface area would be times larger than the original surface area.

ddd [48]

Answer:

The new surface area would be 9 times larger than the original surface area.

Step-by-step explanation:

Here we do not know what was the original shape, but we will see that it does not matter.

Let's start with a square of side length L.

The original area of this square will be:

A = L^2

Now if each dimension is tripled, then all the sides of the square now will be equal to 3*L

Then the new area of the square is:

A' = (3*L)^2 = (3*L)*(3*L) = 9*L^2 = 9*A

So the new surface area is 9 times the original one.

Now, if the figure was a circle instead of a square?

For a circle of radius R, the area is:

A = pi*R^2

where pi = 3.14

Now if the dimensions of the circle are tripled, the new radius will be 3*R

Then the new area of the circle is:

A' = pi*(3*R)^2 = pi*9*R^2 = 9*(pi*R^2) = 9*A

Again, the new area is 9 times the original one.

If the figure is a triangle?

We know that for a triangle of base B and height H, the area is:

A = B*H/2

If we triple each measure, we will have a base 3*B and a height 3*H

Then the new area is:

A' = (3*B)*(3*H)/2 = (3*3)*(B*H/2) = 9*(B*H/2) = 9*A

Again, the new area is 9 times the original area.

So we can conclude that for any shape, the new area will be 9 times the original area.

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3 years ago