Which of the equations below could be the equation of this parabola?
Vertex (0, 0)
ОА. х = 3у2
Ов. х = -3y?
Ос. у= 3x2
O D. y=-3

Which Of The Equations Below Could Be The Equation Of This Parabola?Vertex (0, 0). = 32. = -3y?. = 3x2O

Answers

Answer 1

Option C, [tex]y = 3x^2[/tex], is the equation that could represent the parabola with a vertex at (0, 0).

To determine which of the given equations could represent the parabola with a vertex at (0, 0), we need to consider the standard form of a parabolic equation: [tex]y = ax^2[/tex]

In this standard form, 'a' is a constant that determines the shape and orientation of the parabola. For a parabola with a vertex at (0, 0), the equation will be of the form [tex]y = ax^2[/tex].

Let's examine each option:

A. [tex]x = 3y^2[/tex]: This equation is not in the standard form [tex]y = ax^2.[/tex] It is a different type of equation and does not represent a parabola with a vertex at (0, 0).

B. x = -3y: Similarly, this equation is not in the standard form [tex]y = ax^2[/tex]. It represents a linear relationship between x and y, not a parabola.

C. [tex]y = 3x^2[/tex]: This equation is in the standard form [tex]y = ax^2[/tex], where a = 3. It represents a parabola with a vertex at (0, 0), so it could be the equation of the parabola in question.

D. y = -3: This equation is not in the standard form [tex]y = ax^2[/tex]. It represents a horizontal line with a constant value of -3, not a parabola.

Based on the analysis, Option C, [tex]y = 3x^2[/tex], is the equation that could represent the parabola with a vertex at (0, 0) in the standard form.

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Related Questions

What is 5 7/12 minus 3 11/22

Answers

Answer:

5/3 or 1.66666666 or 1 2/3

Step-by-step explanation:

Subtract like normal

Look at the attached picture

Hope it will help you...

Choose a fraction that makes the following sentence true. 0.1
is a rational number because it can be written as -
0.1
o

Answers

The fraction that makes the statement true is 1/10.

The sentence would be: "0.1 is a rational number because it can be written as 1/10."

The statement "0.1 is a rational number because it can be written as 0.1" is not accurate.

The decimal 0.1 is already a rational number because it can be expressed as the fraction 1/10.

Therefore, the correct sentence would be:

"0.1 is a rational number because it can be written as 1/10."

Question

Choose a fraction that makes the following sentence true. 0.1 is a rational number because it can be written as 0.1

Help help help me please

Answers

Answer:

[tex]A[/tex] ≈ [tex]80.03[/tex]

Step-by-step explanation:

I used the equation  [tex]A=[/tex] π[tex]r(r+h^{2}+r^{2})[/tex] to find the surface area

i hope this helps

The gas tank in Feliz's car is full. Each time he drives to or from work, he uses 1 of a full
tank of gas. Which equation represents the number of times Feliz can drive to or from work
with the gas in his tank?

Answers

Answer: number of times feliz can drive to or from work with the gas in his tank is 10 times

Step-by-step explanation:

Let's start by reviewing the slope-intercept formula:

y = mx + b

At the start of the journey, we have a tank that's 5/6 full and have yet to go anywhere. That means that our b is 5/6.

Thus:

y = mx + 5/6

Now, every time he drives to or from work, be loses 1/12 of a full tank.

Thus;

y = -(1/12)x + 5/6

negative because the initial volume of gas is decreasing whenever he goes out.

Now, to get the number of times feliz can drive to or from work with the gas in his tank, y = 0.

Thus,

0 = -(1/12)x + 5/6

Add (1/12)x to both sides to give;

(1/12)x = 5/6

x = 5/6 ÷ 1/12

x = 10

Write and solve an inequality to find the values of x for which the perimeter of the rectangle is less than 120.

A rectangle has a width of x and a length of x plus 4.

Answers

Answer:

Inequality : 4x+8 < 120

x<28

Step-by-step explanation:

Hi, to answer this question we have to apply the next formula:

Perimeter of a rectangle (P)= 2 length +2 width

Where:

Width = x

Length = x+4

Replacing with the values given

P = 2 (x+4) + 2x

P = 2x+8+2x

P=4x+8

Since the perimeter of the rectangle must be less than 120:

4x+8 < 120

Solving for x

4x<120-8

4x<112

x<112/4

x<28

Feel free to ask for more if needed or if you did not understand something.  

Final answer:

To find the values of x for which the perimeter of a rectangle is less than 120, you would solve the equation 2*(x + (x+4)) < 120. After simplifying and solving, the result is x < 28.

Explanation:

In this problem, you are asked to find the values of x for which the perimeter of a rectangle is less than 120. The rectangle has width of x and a length of x plus 4.

The perimeter of a rectangle is defined as 2*(length + width). Plugging the lengths in for our rectangle, we get 2*(x + (x+4)) < 120. Simplifying this inequality gives 2*(2x + 4) < 120

From there, you want to distribute the 2 across the equation, which gives 4x + 8 < 120. Subtract 8 from both sides to get 4x < 112, and then divide both sides by 4 to find x < 28. So, the possible values of x are those less than 28.

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What is the mean absolute deviation of the data set? 8, 5, 12, 4, 5, 8, 7 1 2 5 7

Answers

The mean absolute deviation (MAD) is a measure of the spread of a data set, calculated as the average of the absolute deviations of each data point from the data set's mean. For the given data set, the MAD is approximately 2.42.

The mean absolute deviation (MAD) of a data set is a measure of variability that represents the average difference between each data point and the mean of the data set. To calculate MAD, follow these steps:

Calculate the mean (average) of the data set.Calculate the deviation of each measurement, which is the absolute value of the difference between each measurement and the mean.Sum all the absolute deviations.Divide the sum by the number of data points in the data set to get the MAD.

For the data set 8, 5, 12, 4, 5, 8, 7, 1, 2, 5, 7, the mean is 5.8 (sum of all numbers divided by the number of numbers). Here are the deviations from the mean:

|8 - 5.8| = 2.2|5 - 5.8| = 0.8|12 - 5.8| = 6.2|4 - 5.8| = 1.8|5 - 5.8| = 0.8|8 - 5.8| = 2.2|7 - 5.8| = 1.2|1 - 5.8| = 4.8|2 - 5.8| = 3.8|5 - 5.8| = 0.8|7 - 5.8| = 1.2

Summing all the absolute deviations gives us 26.6. With 11 data points, the MAD is 26.6 / 11 = 2.42.

The scatter plot below shows the distances some employees of a company commute to work and the annual
salary each earnsImmersive Reader
A. As the length of the commute increases, the annual salary increases.
B. As the length of the commute increases, the annual salary decreases.
C. As the length of the commute increases, the annual salary remains constant
D. There is no relationship between the length of the commute and annual salary.

Answers

Answer:

It is a

Step-by-step explanation: I looked it up

The volume of a cube is 27 cubic inches. Which expression represents s, the length of a side of the cube? Recall the formula Cube volume = s cubed.

Answers

The expression that represents the length of a side of the cube should be S= 3 times 3 times 3

Calculation of the expression:

Since The volume of a cube is 27 cubic inches.

Here we know that

The volume is the cube of the side is [tex]side^3[/tex]

So basically 3 sides should be multiplied to determine the volume.

Hence, we can conclude that The expression that represents the length of a side of the cube should be S= 3 times 3 times 3

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select all that apply.

Answers

Answer:

1st, 3rd, and 4th options

Fatima opens an account with 1300 that earns 3.5% interest, compounded monthly. How long will it take the account value to be $2500?

Answers

Answer:

The formula to calculate the account value in future (compounded monthly):

A = Principal x (1 + rate/12)^(month)

=> 2500 = 1300 x (1 + (3.5/100)/12)^(month)

=> (1 + 0.00291)^(month) = 2500/1300

=> 1.00291^(month) = 1.923

=> month = log(1.923)/log(1.00291) = 225

=> It will take 225 months to have 2500 dollar in account.

Hope this helps!

:)


Which is a factor pair of 72?
12,6
14,5
23,4
24, 2

Answers

Answer:

12,6

Step-by-step explanation:

The factor pair of 72 is 12 and 6 because, factors are the 2 numbers you multiply together to get the product. In this case, the product is 72. 12x6=72 So therefore, 12 and 6 are the factors of 72. You can figure this out simply by multiplying 12 and 6 together.

Final answer:

The factor pairs of 72 are (1,72), (2,36), (3,24), (4,18), and (6,12).

Explanation:

To find the factor pairs of 72, we need to find pairs of numbers that multiply together to give us 72. Let's list all the factors of 72 and check which pairs multiply to give us 72:

1 x 72 = 722 x 36 = 723 x 24 = 724 x 18 = 726 x 12 = 72

So, the factor pairs of 72 are (1, 72), (2, 36), (3, 24), (4, 18), and (6, 12).

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Which function is linear?

A). f(x) = |7x| + 2
B). f(x) = 1/7x + 2
C). f(x) = 7x − 2
D). f(x) = |7x| − 2

Answers

Answer:

C

Step-by-step explanation:

Option C is the only one that's linear because it follows all of the rules for a line to be linear. To check, use the process of elimination:

A). When x is an absolute value, the line will not be linear because an input will have two outputs.

B). x cannot be in the denominator of a fraction for the line to be linear

D). Once again, x cannot be an absolute value.

*Note: I'm assuming in option B, 7x is in the denominator and 1 is in the numerator. If the fraction is simply​ 1/7 multiplied by x, it is linear along with C.

Answer:

C

Step-by-step explanation:

i took the k12 test

Please help me with this question

Answers

Answer:

x = 20.3

Step-by-step explanation:

Since this is a right triangle, we can use trig functions

tan theta = opp / adj

tan 55 = 29 /x

Multiply each side by x

x tan 55 = 29

Divide by tan 55

x = 29 / tan 55

x =20.30601861

To the nearest tenth

x = 20.3

The answer would be x=20.3

In a 45-45-90 rìght triangle, what is the ratio of the length of one leg to the
length of the other leg?

Answers

Answer:

The legs of a 45 45 90 are equal

And the length of the hypotenuse equals

leg * square toot of 2

Step-by-step explanation:

Where can I find Gradpoint answers?????

Answers

ahhh not sure but try slader they have a lot of different answers

Determine the angle at the centre of a circle with a radius of 8.0 cm for an arc length of 12.0 cm.
A. 2/3 radians
B. 1/3 radians
C. 3/2 radians
D. 3π / 2 radians

Answers

Answer:

C. 3/2 Radians

Step-by-step explanation:

As we know, a radian is defined as "the angle enclosed by an arc equal to the radius", or some variant of such.

This means 1 radian in this circle would have an arc length of 8cm.

Simple proportions should get you an answer:

[tex] \frac{1 \: radians}{8cm} = \frac{x \: radians}{12cm} \\ 8x = 12 \\ x = \frac{12}{8} \\ x = \frac{3}{2} [/tex]

The length of a rectangle is 8 centimetres less than its width. What are the dimensions of the rectangle if its area is 240 square​ centimetres?

Answers

Answer:

Well, Your best answer will be is 35.

Here's a Explain.

W-5=0

W=5 That's for the width.

L=3*5-8

L=15-8=7 And, That's for the length.

Here's proof.

35=7*5

35=35

Hope That Helps!~

[tex]^{Itsbrazts}[/tex]

what times what times what equals 19,248.832

Answers

Do you mean the square root? That is what I am going to answer here.

138.7401600114401 is the square root

I hope this helps.

Answer:

2 · 9,624.416

Step-by-step explanation:

19,248.832 ÷ 2 =

9,624.416

An above-ground rainwater tank is rectangular and has a length of 15

feet and a height of 2 feet. It will hold 375 cubic feet of water. What is the

height of the rainwater tank?

Answers

Answer:

The width of the tank is 12.5 feet

Step-by-step explanation:

We need to find the width, not height of the rainwater tank, since the height is already given.

The volume of a rectangular prism is given as:

V = L * W * H

where L = length of the tank

W = width of tank

H = height of tank

We have its volume as 375 cubic feet and the length, L, as 15 feet and height, H, as 2 feet.

Therefore, its width is:

375 = 15 * W * 2

375 = 30W

=> W = 375 / 30

W = 12.5 feet

The width of the tank is 12.5 feet.

175% of a number is 91 what is the number?

Answers

Answer:

I got 159.25. I hope this helps.

As part of an experiment, 500 milligrams of chlorine is added to a tank each day for 60 days.


How many grams of chlorine is added to the tank in 60 days?


Enter your answer as a whole number or decimal in the box.

sorry i have another question

Answers

Answer:

30 grams

Step-by-step explanation:

Answer:

30

Step-by-step explanation:

WILL MARK BRAINIEST PLZ HELP

Answers

Answer:

473 adult tickets and 782 student tickets

Hope this helps :)

You have a rectangular garden that is 10 feet
wide and 15 feet long. You want to increase
the garden so that each side is twice as long
as they are now.

a. What will be the area of the
new garden?
b. Will the area of the new garden be
twice as large as it is now? Explain.

Answers

a. If you double both sides, you'll get a rectangle with dimensions 20 feet wide and 30 feet long, therefore the area will be 20 × 30 = 600 feet².

b. The area of the old rectangle was 10 × 15 = 150 feet², so no the area is not twice as large, it is 4 times as large. This is because if the area is base × height, then doubling both of these gets you (2 × base) × (2 × height) = 4 × (base × height).

I hope this helps!

300 dollars per week equals to how many hours of work?

Answers

Answer:

= 168 hrs of work

Step-by-step explanation:

I week = 7 days

If 1 day = 24hrs

What about 7 days = ?

= 7 x 24

= 168 hrs of work

To get how much he gets per hour, you divide 300 by the number of hours

= 300 ÷ 168

= 1.785

= 1 dollar 79 cents

3 parts: List the ratios for using angle A as the angle of reference reduce when necessary

Sin A= Cos A= Tan A=

Answers

Answer:

[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]

Step-by-step explanation:

The sine of an angle in a right triangle is the ratio of the side across from the angle with the hypotenuse of the triangle (the hypotenuse is the side across from the right angle). In this case, the sine of angle A, shortened to [tex]\sin{A}[/tex], is [tex]21/29[/tex].

Cosine is short for "complementary sine." If the angles A + C = 90, the cosine of A is equal to the sine of C, since A and C are complementary. So [tex]\cos{A}=\sin{C}=20/29[/tex]. Notice that this ratio is the same as the ratio of the side adjacent to angle A (AB), to the hypotenuse.

The tangent is the ratio of the side opposite an angle to the side adjacent to it. Here, [tex]\tan{A}=21/20[/tex]. So, our trig ratios for this angle are

[tex]\sin{A}=21/29\\\cos{A}=20/29\\\tan{A}=21/20[/tex]

__________ and other cash crops are grown on the fertile lands of Mt. Kilimanjaro’s slopes.
A.
Oranges
B.
Rice
C.
Coffee
D.
Maize


Please select the best answer from the choices provided

A
B
C
D

Answers

The answer: C. Coffee

Answer:

Coffee doing it rn

Step-by-step explanation:

PLEASE ANSWER I REALLY NEED IT ASAP (30points) ZOOM IN TO SEE IT BETTER

Answers

Answer:

x = 1 ; x = 8

Step-by-step explanation:

6x² - 5x + 10 = 5x² + 4x + 2

x² - 9x + 8 = 0

x² - 8x - x + 8 = 0

x(x - 8) - (x -8) = 0

(x - 8)(x - 1) = 0

x = 1, x = 8

Answer:

x=8     x=1

Step-by-step explanation:

f(x) = g(x)

6x^2 -5x +10 = 5x^2 +4x+2

Subtract 5x^2 from each side

6x^2-5x^2 -5x +10 = 5x^2-5x^2 +4x+2

x^2 -5x +10 = 4x+2

Subtract 4x from each side

x^2 -5x-4x +10 = 4x-4x+2

x^2 -9x +10 = 2

Subtract 2 from each side

x^2 -9x +10-2 = 2-2

x^2 -9x +8 =0

Factor

What 2 numbers multiply to 8 and add to -9

-8 *-1 = 8

-8-1 = -9

(x-8) (x-1) =0

Using the zero product property

x-8 = 0   x-1 =0

x=8     x=1

What is the interquartile range of this data? a5 b8 c13 d17


0 5 10 15 20

Answers

The answer is actually 15.

Which of the following equations has only one solution?
x2 - 8x + 16 = 0
x(x - 1) = 8
x2 = 16

Answers

Answer:

none

Step-by-step explanation:

If the APR of a savings account is 4.8% and interest is compounded monthly,

what is the approximate APY of the account?

O A. 1.05%

O B. 10.49%

O C. 4.91%

O D. 4%

Answers

Answer:

  C.  4.91%

Step-by-step explanation:

The effect of frequent compounding is to increase the nominal interest rate by a small factor. For interest rates in a practical range (<20%/year), the effective increase in rate will be approximately half the original interest rate.

Approximation

For an interest rate of 4.8%, we expect the compounding to increase it by less than 2.4%. The maximum effective rate due to compounding is approximately (4.8%)(1 +2.4%) ≈ 4.91%.

Exact computation

For nominal annual rate r compounded n times per year, the effective annual rate is ...

  r' = (1 +r/n)^n -1

For r = 0.048 and n = 12, this becomes ...

  r' = (1 +0.048/12)^12 -1 = 1.004^12 -1 ≈ 1.049070208 -1 ≈ 4.91%

__

Additional comment

After you have worked with interest compounding for a bit, you realize compounding increases the effective rate by a small amount. That means the value will be more than 4.8% (eliminating choices A and D), but certainly will not be as high as 10% (eliminating choice B). The only reasonable choice is C, which happens to be the correct one.

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