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3 years ago

Which of the following functions is graphed below

Mathematics

2 answers:

Delicious77 [7]3 years ago

5 0

Darn it i was looking for the same thing

mojhsa [17]3 years ago

4 0

Answer:

$y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}$

Step-by-step explanation:

The given graph represents a piecewise function. The graph is discontinuous at x=2.

Open circle represents that the point x=2 is not included in the function and closed circle represents that the point x=2 is included in the function.

For x≤2, it a the graph of a cubic function which is generated by shifting the graph of $y=x^3$ to three units down.

$y=x^3-3$ for x≤2

For x>2, it a the graph of a quadratic function which is generated by shifting the graph of $y=x^2$ to 6 units up.

$y=x^2+6$ for x>2

Therefore, the graph represents the function

$y=\begin{cases}x^3-3 & \text{ if } x\le 2 \\ x^2+6 & \text{ if } x>2 \end{cases}$ .

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What is the constant of variation, k, of the direct variation, y = kx, through (–3, 2)?

anygoal [31]

Answer:

k = 2/-3

Step-by-step explanation:

y = kx

Point: (-3, 2)

2 = k(-3)

k = 2/-3

k = -0.6

5 0

3 years ago

Find an equation of the circle that satisfies the given conditions. (Give your answer in terms of x and y.) Center at the origin

Elanso [62]

Answer:

The equation of circle is $x^2+y^2=65$ .

Step-by-step explanation:

It is given that the circle passes through the point (8,1) and center at the origin.

The distance between any point and the circle and center is called radius. it means radius of the given circle is the distance between (0,0) and (8,1).

Distance formula:

$d=\sqrt{(x_2-x_1)^2+(y_2-y_1)^2}$

Using distance formula the radius of circle is

$r=\sqrt{\left(8-0\right)^2+\left(1-0\right)^2}=\sqrt{65}$

The standard form of a circle is

$(x-h)^2+(y-k)^2=r^2$ .... (1)

where, (h,k) is center and r is radius.

The center of the circle is (0,0). So h=0 and k=0.

Substitute h=0, k=0 and $r=\sqrt{65}$ in equation (1).

$(x-0)^2+(y-0)^2=(\sqrt{65})^2$

$x^2+y^2=65$

Therefore the equation of circle is $x^2+y^2=65$ .

5 0

3 years ago

An artist is painting the outside of the box shown below. The top and bottom will NOT be painted. What is the total surface area

Montano1993 [528]

Answer:

15 square feet

Step-by-step explanation:

Multiply 1.5 by 3 which equals 4.5

Multiply 1.5 by 2 which equals 3

Add the above answers (4.5 plus 3)

Then multiply by 2 (7.5 times 2)

It equals 15

I hope this helps and that this is the right problem. There is no picture shown but I just did this problem for someone else so I thought I would take a shot at it :)

3 0

2 years ago

Is the length of your classroom greater than or less than one kilometer?

Y_Kistochka [10]

That would depend on the size of your classroom. but, typically the answer is no

3 0

2 years ago

Read 2 more answers

Jack reads his book for 8 minutes before school and 10 minutes after school. He attends school Monday through Friday. Which equa

sweet-ann [11.9K]

Answer:

Step-by-step explanation:

Even though the options to choose from are not given in this question we can try and lay our hand on the most likely equation for the number of minutes Jack reads his book.

firstly on a daily Jack reads a total of = 8+10 = 18 mins

He attends school from Mon- fri = 5 days

Now on a weekly basis jack reads = 5*18

in other words, the equation is simply the number of days times the time spent to read his book per day

hence this is = 90 min or 1hr 30 mins

5 0

3 years ago