1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
Andre45 [30]
1 year ago
15

I need helping answering 15. I need to create a table and graph the function.

Mathematics
1 answer:
Alekssandra [29.7K]1 year ago
4 0

ANSWER and EXPLANATION

We want to order the functions from widest to narrowest:

\begin{gathered} y=3x^2 \\ y=2x^2 \\ y=4x^2 \end{gathered}

To do this, we have to plot the graphs of the functions by using a table of values.

Let us find the values of the functions for values of x = -2, 0, 2

For the first function:

\begin{gathered} y=3x^2 \\ \Rightarrow x=-2: \\ y=3(-2)^2=3*4 \\ y=12 \\ \Rightarrow x=0: \\ y=3(0)^2=3*0 \\ y=0 \\ \Rightarrow x=2: \\ y=3(2)^2=3*4 \\ y=12 \end{gathered}

Hence, its table is:

For the second function:

\begin{gathered} y=2x^2 \\ \Rightarrow x=-2: \\ y=2(-2)^2=2*4 \\ y=8 \\ \Rightarrow x=0: \\ y=2(0)^2=2*0 \\ y=0 \\ \Rightarrow x=2: \\ y=2(2)^2=2*4 \\ y=8 \end{gathered}

Hence, its table is:

For the third function:

\begin{gathered} y=4x^2 \\ \Rightarrow x=-2: \\ y=4\left(-2\right)^2=4*4 \\ y=16 \\ \Rightarrow x=0: \\ y=4(0)^2=4*0 \\ y=0 \\ \Rightarrow x=2: \\ y=4(2)^2=4*4 \\ y=16 \end{gathered}

Hence, its table is:

Now, let us plot the graphs of the functions:

Therefore, from the graph, we see that the order of the functions from widest to narrowest is:

y=2x^2;y=3x^2;y=4x^2

You might be interested in
Liz and Rick are squeezing lemons for a lemonade stand. Liz squeezed 18 lemons in 6 minutes. Rick squeezed 24 lemons in 12 minut
qwelly [4]
Liz squeezed lemons faster. Liz squeezed 18 lemons in 6 minutes. To find out how many she squeezed in a minute, you would do 18 / 6, which gives you three. Rick squeezed 24 lemons in 12 minutes. To find out how many lemons he squeezed in a minute, you would do 24/12, which gives you 2. So, Liz squeezed 3 lemons per minute while Rick squeezed 2 lemons per minute.
6 0
3 years ago
And here is the other one.
LUCKY_DIMON [66]
Since BD bisects angle ABC, that means angle ABD and angle CBD are equal to each other. With that set up the equation to solve for x like this:

-4x+33 = 2x+81
-2x -2x
————————
-6x +33 = 81
-33 -33
————————
-6x = 48
————- (divide by -6)
-6

x = -8


Now substitute that to ABD
-4(-8) +33
32 +33
=65

here’s CBD
2(-8) + 81
-16 + 81
=65

Finally angle ABC will be double the amount of ABD or CBD so 65 times 2 is 130.

ANSWERS: (angles)
ABD and CBD: 65
ABC: 130

3 0
3 years ago
Your corner store is having a sale on chips . A 40 -pack of Doritos cool ranch chips cost $25.75 but it's on sale at 35% off. Ho
Lorico [155]

Answer:

  $16.74

Step-by-step explanation:

If the price has been reduced by 35%, it is 100% -35% = 65% of what it was.

  0.65 × $25.75 = $16.7375 ≈ $16.74

You will pay $16.74 for the chips.

6 0
3 years ago
A circle has a circumference of 50.2450.2450, point, 24 units.<br> What is the radius of the circle?
beks73 [17]

Answer:

r = 8 units

Step-by-step explanation:

The circumference is calculated using C = 2\pi r. Substitute C = 50.24 units. Solve for the radius.

C = 2 \pi r\\50.24 = 2 \pi r\\25.12 = \pi r\\8 = r

7 0
3 years ago
Please help with both questions, thank you!
algol [13]

11) 3 (2x + 7) - 4 = 53 - 3x is the given

Then, we use distributive property and get:

6x + 21 - 4 = 53 - 3x

Next, we combine like terms

6x + 17 = 53 - 3x

Then, we use the addition property of equality to add 3x to both sides.

9x + 17 = 53

We then use the subtraction property of equality to subtract 17 from both sides.

9x = 36

Finally, we use the division property of equality to divide 36 by 9, which isolates x.

x = 4

So, (In order) you have the: Given, Distributive Property, Combine Like Terms, Addition Property of Equality, Subtraction Property of Equality, and Division Property of Equality.

12) Please Note: This is an inequality problem. Which means we do not use the properties of equality. We'd use the properties of order. Properties of order are specific to inequalities, as the properties of equality are specific to the equations. They do not cross. As for your paper, I'm not sure why it says to use the properties of equality. I will be using the properties of order.

-7 (3 + 8x) + 5x ≤ 1 - 62x is the given

-21 - 56x + 5x ≤ 1 - 62x is distributive property

We then combine like terms

-21 - 51x ≤ 1 - 62x

Next, we use subtraction property of order to subtract 1 from each side.

-22 - 51x ≤ -62x

Then, we add 51x to each siding using the addition property of order

-22 ≤ -11

Lastly, we use the division property of order to divide 11 from both sides, which then gives us:

2 ≥ x

It becomes a positive because we're dividing 2 negatives, and we also turn the sign because we're dividing by negatives.

In order: Given, Distributive Property, Combine Like Terms, Subtraction Property of Order, Addition Property of Order, and Division Property of Order.

 

5 0
3 years ago
Other questions:
  • For which of the values of a and b is the following statement not true?
    5·1 answer
  • I need help on 1-6 and If you can, can you explain how to do these? I'm not entirely sure how to.
    8·1 answer
  • How are the independent and dependent variables related?
    14·2 answers
  • Please help!!!! I need help!
    10·2 answers
  • Solve for <br> e. show your work. ( 264 3 x 5 ) ÷ 3 = e
    9·1 answer
  • In physics class, Carrie learns that a force, F, is equal to the mass of an object, m, times its acceleration, a. She writes the
    7·2 answers
  • Lines that are perpendicular have ___________________ slopes.<br>A. opposite reciprocal<br>b. same
    13·1 answer
  • Which is a graph of y=-1/2x- 2?
    6·1 answer
  • Multiple choice pls help!
    13·2 answers
  • Provide an appropriate response.
    15·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!