Mathematics High School

Choose the function that represents the data in the table.
х
0
-3
1
-1
2
5
3
15
4
29
5
47
y
Oy - 3
0 y= 2* – 3
O y = 2x - 3
O y = 2x2 – 3

Choose The Function That Represents The Data In The Table.0-31-125315429547yOy - 30 Y= 2* 3O Y = 2x -

Answers

Answer 1

Answer:

Option (D): f(x) = 2x^2 – 3

Step-by-step explanation:

Math.

Answer 2

The function that represents the data in the table is y=2x²-3

What is a function?

A relation is a function if it has only One y-value for each x-value.

Let us check the function of the given data by plugging any ordered pair in the given functions

Let us take a point (1, -1) to check each function

(a) y=x/2-3

-1= 1/2-3

-1=-5/2

So y=x/2-3 is not the function

(b) y=2ˣ-3

-1=2-3

-1=-1

Now let us check for other point

5=4-3

5=1

This function is not satisfied for all points

(c) y=2x-3

-1=-1

For point (2, 5)

5=-1

This function is not satisfied for all points

(d) y=2x²-3

-1=2-3

-1=-1

Now 5=8-3

5=5

Hence, the function that represents the data in the table is y=2x²-3

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Related Questions

A system of equations is graphed on the coordinate plane.
y = 1/2+2
y = x + 1
What is the solution to the system of equations?

Answers

Answer:

y=2.5, x=1.5

Step-by-step explanation:

y=1/2+2 ---(1)

y=x+1 ---(2)

y=1/2+2=2.5

Substitute y=2.5 into equation (2)

y=x+1

2.5=x+1

2.5-1=x

x=1.5

The rectangular room shown 20 feet long, 48 feet wide, and 10 feet tall. Use the Pythagorean Theorem to find the distance from A to C and the distance from A to B. Round to the nearest tenth, if necessary.

(Only really need A to B though)​

Answers

A to B = 52
Using Pythagorean theory
10^2 + 52^2 = c^2 (hypotenuse)
2704 = c^2
52 = c (A to B)

If humans have infinity magnetite why cant we think of a another colur

Answers

because perception of color is determined by the rods and cones in ones eyes in which their is a limit to what colors we can see determined by how our eyesight reacts to light

Hi, I need help with arithmetic sequence and I don't really know what to do.

Answers

Answer:

Step-by-step explanation:

Answer:

choice 2

Step-by-step explanation:

Arithmetic sequences arare linear. The common difference is the slope. The points given are (3,10) And (5,26).

The slope is the change of y (26-10=16) over the change of x (5-3=2); this is 16/2=8.

The equation of line in slope-intercept form whose slope is given as 8 is y=8x+b.

We may plug in a point to solve for b.

Let's plug in (3,10):

10=8(3)+b

10=24+b

10-24=b

-14=b

So the equation we are lookinlooking for is y=8x-14 which is choice 2.

Multiply. 2 5/8⋅(−4 3/4)
A. −12 15/32
B. −8 15/32
C. −7 3/8
D. −2 1/8

Answers

option b

see attachment for solution

hope it helps...!!!

5 points and brainliest to the best correct answer, questions in photo, thank you

Answers

Answer:

C) 150

Step-by-step explanation:

A decrease of 50% every two days can be predicted with the formula
x * 0.5^t
x being the start amount
t being time
5 days with periods of 2.5 days, 5 / 2.5 = 2
start amount of 600
600 * 0.5^2
600 * 0.25
150 so C

150 grams. If the half life is 2.5 days, then there are two half lives within five days. So, you divide 600 by half once, which is 300, and then by half again, which is 150

Geometry problem help, will reward brainly! both dont have to be solved, but id really appreciate it.

Answers

Answer:

height: 8 mslant height: 5 in

Step-by-step explanation:

The parameter of interest can be found by putting the given values into the appropriate volume or area formula for a pyramid, then solving for the unknown. The relevant formulas are ...

  V = 1/3s²h . . . . . s is the base length; h is the height

  A = s(s +2h) . . . . s is the base length; h is the slant height

__

height given volume

Using the given values for the volume and the length of the base, the formula becomes ...

  V = 1/3s²h

  96 m³ = 1/3(6 m)²h . . . . . . . . . . use the given values for V, s

  (96 m³)/(12 m²) = 8 m = h . . . . . divide by the coefficient of h

The height of the pyramid is 8 meters.

__

slant height given area

Using the given values for area and the length of the base, the formula becomes ...

  A = s(s +2h)

  47.25 in² = (3.5 in)(3.5 in + 2h) . . . . use the given values for A, s

  13.5 in = 3.5 in + 2h . . . . . . . . . . . divide by 3.5 in

  10 in = 2h . . . . . . . . . . . . . . . . . subtract 3.5 in

  5 in = h . . . . . . . . . . . . . . . . divide by 2

The slant height of the pyramid is 5 inches.

PLSSS HELP IF YOU TURLY KNOW THISS

Answers

Answer:

A or 2

Step-by-step explanation:

Answer:   2

Reason:

The 5's cancel out leaving the 2 behind as the final answer.

Another way to look at it is that the 5*2 up top multiplies to 10, then we divide that by the 5 in the denominator to end up with 10/5 = 2

If you are a visual learner, then draw a circle and divide it into 5 equal slices. Do this a total of five times. Each pizza having 2 slices, and 5 pizzas total, gives 2*5 = 10 slices overall. These ten slices can be rearranged into making 2 full pizzas.

See below.

Which climate has moderate rainfall, nutrient rich soils, and has a relatively thick layer of topsoil?
A. Desert
B. Arctic
C. Tropical rainforest
D. Grassland

Answers

I could be C or D I’m thinking C not 100 percent sure
The answer is C. Bc it was moderate rainfall

What is the slope of the line that passes through the points (-8, 6) and (-8, 2)?
Write your answer in simplest form.

Answers

Answer: Undefined or Vertical Slope.

PLEASE HELP ASAP!!
Describe the transformations from the parent function, and define the function of the following graph.

Answers

Answer:   Vertical stretch by a factor of 5.8 , reflection across x-axis ⇒ answer B

Step-by-step explanation:

* Lets revise the vertical and horizontal stretch with reflection

- A vertical stretching is the stretching of the graph away from the

x-axis

- If k > 1, the graph of y = k•f(x) is the graph of f(x) vertically stretched

by multiplying each of its y-coordinates by k.

- If k should be negative, the vertical stretch is followed by a reflection

across the x-axis  

- A horizontal stretching is the stretching of the graph away from

the y-axis

- If 0 < k < 1 (a fraction), the graph of y = f(k•x) is f(x) horizontally

stretched by dividing each of its x-coordinates by k.

- If k should be negative, the horizontal stretch or shrink is followed

by a reflection in the y-axis

* Lets solve the problem

∵ G(x) = sin x

∵ F(x) = -5.8 sin x

∴ F(x) = -5.8 G(x)

- From the rule above

∴ G(x) is stretched vertically by scale factor -5.8

∵ The scale factor is negative

∴ The vertical stretch is followed by a reflection across the x-axis  

* The transformation is:

 Vertical stretch by a factor of 5.8 , reflection across x-axis


What is the difference of the y coordinate (0,3) and the y coordinate (4,0)

Answers

Answer:

  3

Step-by-step explanation:

The difference of the two y-coordinates is found by ...

  a) identifying the y-coordinates

  b) computing their difference.

__

Each ordered pair lists the y-coordinate second.

  (0, 3)   ⇒   y-coordinate = 3

  (4, 0)   ⇒   y-coordinate = 0

The difference of the y-coordinates is ...

  3 -0 = 3

i need help can u guys help ;-;

Answers

Answer:

The answer for x and y will be x = Y + 7 and Y = 6x + 7

Step-by-step explanation:

Y=6x - 7

6x - 7 = Y

6x = Y + 7

6x/6 = Y + 7/6

X = Y + 7

students from a class of 15 are going to be chosen to be on the dance committee. Find the number of different 4-person committees that can be made.

Answers

we know that

The formula for combinations is

[tex]C=n!/[(n-r)!*r!][/tex]

where

[tex]n[/tex] is the total number of objects you choose from

[tex]r[/tex] is the number that you choose to arrange

in this problem

[tex]n=15[/tex] students

[tex]r=4[/tex] students

[tex]C=15!/[(15-4)!*4!][/tex] → [tex]C=15!/[11!*4!][/tex] → [tex](15*14*13*12*11!)/(11!*4*3*2*1)[/tex]

[tex]C=(15*14*13*12)/(24)[/tex] → [tex]C=1365[/tex]

the answer is

1,365

Round 418 to the nearest ten.

Answers

Answer:

The answer should be 420.

~

Step-by-step explanation:

PLEASE ANSWER PLEASEEEEEEEEE

Answers

Answer:

C

Step-by-step explanation:

11 | 2   means    112

A is wrong because 11 | 2 cannot mean 12.

B is wrong because stem with value 1 doesn't exist.

D is wrong because stems and leaves are not added to give real value.

Hope this helps!

#79 will give brainliest please help!​

Answers

Step-by-step explanation:

this means the factors of the various terms of x and the constant.

a = 4

b = 1

c = 9

and yes, if there would be negative factors, the signs wold be part of a, b and c too.

overall, this is then used to solve the quadratic equation.

the general solution is

x = (-b ± sqrt(b² - 4ac))/(2a)

simplify square root of 10,000,000 using powers of ten

Answers

using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

Meaning of Indices

Indices in mathematics can be defined as a value that takes up in index form but still retain its magnitude.

It is writing big or complicated values in a simpler and smaller way.

Indices is so important for simplicity purposes.

in conclusion, using Indices we can simplify the square root of 10,000,000 using powers of ten is: [tex]10^{7/2}[/tex]

Learn more about indices: https://brainly.com/question/170984

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A ramp rises 3.5 feet & has an angle of elevation
of 24 degrees. How long is the ramp?

Answers

Check the picture below.

Make sure your calculator is in Degree mode.

In one day, a toy store sold 15 toy cars and 20 yo-yos for a total of $190. the next day, the toy store sold 3 toy cars and 12 yo-yos for a total of $102. what is the cost of one toy car? $1 for one car $2 for one car $4 for one car $8 for one car

Answers

Answer:

$2

Step-by-step explanation:

see photo for solution

answer that for me xx

Answers

X is 65°

Hope it helps.

Refer attachments
X is 65
I hope this helps!

I need help I don’t know the answer

Answers

Answer:

Option 2

Step-by-step explanation:

Height of lemon tree = 8

Height of date tree = 8 x 3

On comparing, we understand that the date tree is 3 times as tall as the lemon tree.

Answer:

the answer is B or the second one

Step-by-step explanation:

8 x 3 = 24

the data tree is 3 times as tall as the lemon tree

#76 will give brainliest! please help​

Answers

Answer:

2nd option, (6x + 8)(x - 1) = 0

Step-by-step explanation:

Answer:

[tex](6x+8)(x-1)[/tex]

Step-by-step explanation:

We can separate the 2x into -6x + 8x. Then this will give us [tex]6x^2 - 6x + 8x - 8 = 0[/tex]. Now we can factor out a 6x and an 8 to give us [tex]6x(x-1) + 8(x-1) = (6x+8)(x-1)[/tex] by the distributive property.

Hope this helps! :)

What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter?

Answers

Answer:

17,964.9 cubic meters

Step-by-step explanation:

Hey there!

The formula for finding the area of a sphere is:

[tex]V=(4/3)\pi r^3[/tex]

Where V is volume, and r is radius

The question already tells us that the diameter is 32.5m

*Remember, the diameter isn't the radius. It is the radius times two*

Now, we have to divide 32.5 by 2 to get the radius

32.5/2 is 16.25

Now we can plug this into the formula

16.25 cubed is 4291 after being rounded to the nearest tenth

Now we multiply 4291 by 3.14 (pi)

4291 x 3.14 is 13473.7 after being rounded to the nearest tenth

Now multiply 13473.7 by 4/3 and then you will get the volume to the sphere

13473.7 x 4/3 is 17964.93333333...

Since it is asking us to round to the nearest tenth of a cubic meter;

The volume of the sphere will be 17,964.9 cubic meters

[tex]\rule{300}{1}[/tex]

[tex]\dashrightarrow\large\blue\textsf{\textbf{\underline{Given question:-}}}[/tex]

What is the volume of a sphere with a diameter of 32.5 m, rounded to the nearest tenth of a cubic meter (m³)?

[tex]\dashrightarrow\large\textsf{\textbf{\underline{Answer and how to solve:-}}}[/tex]

We are asked to find the volume of a sphere, which we can find using the following formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

Where:-

V=volumeπ=pi (3.14…)r=radius

Provided information:-

diameter (d)=32.5 m

What we need in order to find the volume:-

radius

What we need in order to find the radius:-

Since the radius is exactly one-half of the diameter, we divide the diameter by 2 in order to find the radius:-

[tex]\bold{r=d\div2}[/tex]

Replace d with 32.5:-

[tex]\bold{r=32.5\div2}[/tex]

Therefore, the sphere's radius is as follows:-

[tex]\bold{r=16.25}[/tex] m

[tex]\rule{300}{1}[/tex]

Now, let's find the sphere's volume, which, as I mentioned earlier, can be found with the help of this formula:-

[tex]\bold{V=\dfrac{4}{3} \pi r^3}[/tex]

Replace r with 16.25:-

[tex]\bold{V=\dfrac{4}{3} \pi (4291)}[/tex]           Next, we replace π with 3.14:-

[tex]\bold{V=\dfrac{4}{3} \times3.14\times4291}[/tex]

On simplification,

[tex]\bold{V=\dfrac{4}{3} \times13,473.74}[/tex]

On further simplification,

[tex]\bold{V=17,964.9\:m^3}\Longleftarrow\sf{volume\:of\:the\:sphere}[/tex]

Good luck with your studies.

[tex]\rule{300}{1}[/tex]

length of a rectangular garden is 9m and breadth is 6m calculate it's area in mm2​

Answers

Given

Length =9 m

Breadth =6 m

Area of the rectangle= (length × breadth) sq. units

=(9×6) m

2

=54 m

2

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10 units
What is the approximate area of the circle?

Answers

100 pi
Because pi r ^2

what is the surface area of a rectangular prism that has a length of 5 cm, a height of 14 cm, and a width of 12 cm? a. 298 cm2 b. 378 cm2 c. 616 cm2 d. 596 cm2

Answers

Answer:

sorry for being late but the answer is c 616 cm

Step-by-step explanation:

Layla walked a total of 12 kilometers by making 4 trips to school. After 5 trips to school, how many kilometers will Layla have walked in total? Assume the relationship is directly proportional.

Answers

Answer:

[tex]=15km[/tex]

Explanation:

[tex]12[/tex] [tex]km[/tex] ÷ [tex]4[/tex]

[tex]=3[/tex] [tex]km[/tex] per trip to school

Now that we know that Layla walks 3 km to walk to school, we multiply that by 10

[tex]3[/tex] [tex]km[/tex] × [tex]5[/tex] [tex]trips[/tex]

[tex]=15[/tex] [tex]km[/tex]

∴ Layla walked 15 km in total

Determine the interquartile range for the following data 1,15,16,16,19,24,25

Answers

Answer:

IQR = 9

Step-by-step explanation:

Q3 = 24

Q1 = 15

24-15=9

Give brainliest, please!

Hope this helps :)

Move a phrase and number to the blanks to complete the sentence.

Answers

1st blank- Sophomores in her school
2nd blank- 75 min

Answer:

The sophomore in her school is 75

Step-by-step explanation:

Solution

The plot shows the distribution of 30 sophomores

We can see that there are 3 main vertical

line in red pen in the picture above.( distribution)

The first line means Minimum

The third line means the maximum

The second line means the medium

So the Medium is 75. And 30 sophomores in her

School took the survey.

So the medium belongs to them

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