Which of the following represents the graph of the equation y = 1/2x?

Which Of The Following Represents The Graph Of The Equation Y = 1/2x?

Answers

Answer 1

Answer:

(B)

Step-by-step explanation:

Here's what we know about the equation:

- it's a positive equation

- the y-intercept is (0,0)

- the slope is 1/2

Because the equation is positive, this means the graph will increase up from left to right, so you can cross out answer choice A & D.

To find out if B or C has the right slope, you can either plug in points or use the rise/run method.

I'm going to use both methods to figure out which answer choice is correct:

Plug in points method:

Let's plug in the value 2 in to the equation y = 1/2x.

1/2 * 2 = 1

So at (1,2) the function should include that point.

Only B has (1,2), so that's your answer.

Rise/run method:

Rise/run is a method used to figure out the slope of a function or draw a function on a graph.

Rise corresponds to the numerator. In this case, 1.

Run corresponds to the denominator. In this case, 2.

We are going to start at (0,0) and go up 1 (rising 1 unit) and go 2 to the right (running 2 units). After this, we should arrive at a point on the graph.

Only answer choice B does this.

**Reminder: be careful, the each blue line on the graph ISN'T a whole number interval; it uses 1/2 intervals.

Hope that helps (●'◡'●)


Related Questions

Find the value of DE.

Answers

Answer:

DE = 5

Step-by-step explanation:

The 3 sides of the triangle are congruent , then

DF = EF , that is

[tex]\frac{2}{5}[/tex] a - 15 = [tex]\frac{1}{5}[/tex] a - 5 ( multiply through by 5 to clear the fractions )

2a - 75 = a - 25 ( subtract a from both sides )

a - 75 = - 25 ( add 75 to both sides )

a = 50

Then

DE = EF = [tex]\frac{1}{5}[/tex] × 50 - 5 = 10 - 5 = 5

Please help :) angles

Answers

Answer:

y = 95

Step-by-step explanation:

The exterior angle is equal to the sum of the opposite interior angles

y+25 = 120

y = 120-25

y = 95

What is 3/4 as a percentage

Answers

Answer:

75%

Step-by-step explanation:

A percent is a value out of 100.

Change the fraction [tex]\frac{3}{4}[/tex] to an equivalent fraction with the denominator equal to 100.

[tex]\frac{3}{4}[/tex] × [tex]\frac{25}{25}[/tex] = [tex]\frac{75}{100}[/tex]

This fraction represents a percent.

[tex]\frac{75}{100}[/tex] = 75%

A=131+122+199+204 trả lời cho tớ đi

Answers

Answer:

A=656 trả lời cho tớ đi...

Find the value of x.
B
X+2
3
D
E
х
2
А
x = [?]

Answers

Answer:

x = 4

Step-by-step explanation:

The line DE is parallel to AC and divides the sides proportionally, that is

[tex]\frac{BD}{AD}[/tex] = [tex]\frac{BE}{CE}[/tex] , substitute values

[tex]\frac{x+2}{x}[/tex] = [tex]\frac{3}{2}[/tex] ( cross- multiply )

3x = 2(x + 2) = 2x + 4 ( subtract 2x from both sides )

x = 4

1. The parameter "a": Compare the graphs of several different exponential growth functions in
Mathematica to discover the significance of the parameter "a". Explain in detail what the
parameter "a" tells you about the graph of an exponential growth function.

Answers

Answer:

See explanation

Step-by-step explanation:

Required

The significance of "a" in exponential function

An exponential function is represented as:

[tex]y = ab^x[/tex]

In the above equation, parameter "a" is the initial value of the function

In other words, the value of the function when x = 0

Take for instance;

[tex]y = 2*4^x[/tex]

[tex]a = 2[/tex] because when [tex]x = 0[/tex]

[tex]y = 2 * 4^0[/tex]

[tex]y = 2 * 1[/tex]

[tex]y = 2[/tex]

Another significance of parameter a is that; it is the y-intercept of the geometric function.

How many tacos could you buy on a Wednesday with 20 dollars and tacos cost 50. cents

Answers

Answer:

40 tacos

Step-by-step explanation:

Step 1:  Determine how many tacos you can buy

Cost of one taco:  $0.50

Money in wallet:  $20

So for every $1 you can buy 2 tacos.  Therefore, 20 * 2 = 40 tacos

Answer:  40 tacos

Answer:40 tacos

Step-by-step explanation: because yeah

Somebody give the answer to the question attached please

Answers

The above answer is correct

CAN SOMEONE HELP MEEEE OUTTT!!!

Answers

Step-by-step explanation:

the answer is sqrt(7)

using pythagoras theorem

Find the value of x for the right triangle.

Answers

x = 4.5

This is a 90° 60° 30° triangle, meaning that the bottom will be x, the right side will be x √3, and 9 is actually 2x

Ethan says that (2x+5)/2 can be reduced to x + 5. Braylon says this is not correct. Who is right and why?

Answers

Answer:Braylon is right

Step-by-step explanation:

it is reduced to x+5/2

Answer:

Braylon is correct, after dividing the numbers given I got _::x+5/2::_

and it cant be simplified more

Examine circle O, where chords AB¯¯¯¯¯¯¯¯ and CD¯¯¯¯¯¯¯¯ are congruent.

Point P lies on AB¯¯¯¯¯¯¯¯ and point Q lies on CD¯¯¯¯¯¯¯¯.
Angles APO and DQO are right angles.

The diagram as described in the problem.



Which congruence statement is true?
CD≅AP
QD≅QO
OP≅OQ
OP≅AB

Answers

the second one QD=QO

A football was kicked through the air and it followed the path h\left(s\right)=-3s^2+75h(s)=−3s 2 +75 . Let h\left(s\right)h(s) represent the height of the soccer ball after, s, seconds.

Answers

Complete question is;

A soccer ball was kicked through the air and it followed the path. Let h(s) = −3s² +75 represent the height of the soccer ball after s seconds.

Find the time at which the soccer ball hits the ground.

Answer:

s = 5 seconds.

Step-by-step explanation:

We are given the function;

h(s) = −3s² +75

Where;

h(s) is height at time s

s is the time taken

Now, the time at which the time at which the soccer ball hits the ground would be at h(s) = 0 since height is at 0 point.

Thus;

−3s² +75 = 0

−3s² = -75

s² = 75/3

s² = 25

s = √25

s = 5 seconds.

2. En una división el dividendo es 445, el divisor es 32, el cociente es 14 y el resto es 7. ¿Está bien hecha? Compruébalo de dos maneras diferentes

Answers

Respuesta:

El cálculo no está bien hecho.

el cociente es 13

El resto es 29

Explicación paso a paso:

Dividendo = 445

Divisor = 32

Cociente = 14

Resto = 7

445/32 = 13,90625

El cociente = 13

Resto = (13.90625 - 13) * 32

Resto = 0.90625 * 32

Resto = 29

Por lo tanto, el cálculo no se realiza correctamente ya que el cociente es 13 y el resto es 29

Yoo plz answer quickly

Answers

ooof 2 weeks ago, sorry mate, i want the points doe...

Mr. Mancuso plants tomatoes on 1/3 acre of land, corn on 3/4 acre, and carrots on 1/2 acre. On how many acres of land total did he plant?


1 acres


1 acres


1 acres


2 acres

Answers

Answer:

1 7/12 acres of land

Step-by-step explanation:

Tomatoes = 1/3 acre of land

Corn = 3/4 acre of land

Carrots = 1/2 acre of land

Total acres of land he planted = tomatoes + corn + carrots

= 1/3 + 3/4 + 1/2

= (4+9+6) / 12

= 19/12 acres

= 1 7/12 acres of land

Or

= 1.5833333333333 acres

Total acres of land he planted = 1 7/12 acres of land

None of the given options is correct

find the mean of the following,-6,-10,-4,8,9,-2,5,6.​

Answers

[tex]mean = \frac{sum \: of \: all \: observations}{number \: of \: observations} \\ = > mean = \frac{( - 6) + ( - 10) + ( - 4) + 8 + 9 + ( - 2) + 5 + 6}{8} \\ = > mean = \frac{6}{8} \\ = > mean = 0.75[/tex]

This is the answer.

In a shipment of airplane parts, 6% are known to be defective. If 42 parts are found to be defective, how many parts are in the shipment?

Answers

Answer:

700 parts

Step-by-step explanation:

To find the total amount of parts in the shipment, all we need to do is divide.

6% = 0.06

42 / 0.06 = 700

Best of Luck!

What are the x-coordinates of the solutions to this system of equations? x2 + y2 = 100 y = x + 2

Answers

Answer:

x = - 8, x = 6

Step-by-step explanation:

Given the 2 equations

x² + y² = 100 → (1)

y = x + 2 → (2)

Substitute y = x + 2 into (1)

x² + (x + 2)² = 100

x² + x² + 4x + 4 = 100

2x² + 4x + 4 = 100 ( subtract 100 from both sides )

2x² + 4x - 96 = 0 ( divide through by 2 )

x² + 2x - 48 = 0 ← in standard form

(x + 8)(x - 6) = 0 ← in factored form

Equate each factor to zero and solve for x

x + 8 = 0 ⇒ x = - 8

x - 6 = 0 ⇒ x = 6

A line has slope - 3/4 and y-intercept 5.
What is the equation of the line?

Answers

Answer:

Y = MX + b

y = -3/4 X + 5

Step-by-step explanation:

Someone help me pls ..

Answers

Answer:

because they are both in the circle

Step-by-step explanation:

A rectangle prism has length 12 centimeters and width 4 centimeters. If its surface area is 467 square centimeters, what is the height of the prism

Answers

Answer:

11.59 centimeters

Step-by-step explanation:

Use the formula for the surface area of a rectangular prism: A = 2(wl + hl + hw)

Plug in the surface area, length, and width. Then, solve for h:

A = 2(wl + hl + hw)

467 = 2((4)(12) + h(12) + h(4))

467 = 2(48 + 12h + 4h)

467 = 2(48 + 16h)

467 = 96 + 32h

371 = 32h

11.59 = h

So, the height of the prism is approximately 11.59 centimeters

Taylor has nickels and dimes. The number of nickels is 7 less then eight times the number of dimes. If d represents the number of dimes then the number of nickels can be expressed as what

Answers

Answer: [tex]8d-7[/tex]

Step-by-step explanation:

Given

Taylor has nickels and dimes

Number of nickels is 7 less than eight times the number of dimes

If d is the number of dimes, then number of nickels is given by

[tex]\Rightarrow \text{Number of Nickels = }8d-7[/tex]

Please help with this problem.

Answers

Answer:

( 10 m n^3) ^2

Step-by-step explanation:

100 m^2 n^6

Break into pieces

What number times itself gives 100

10*10 = 100

m*m = m^2

n*n*n*n*n*n = n^6  Breaking into two parts

n^3 * n^3 = n^6

( 10 m n^3) ^2

Answer:

[tex](10mn^3)^2[/tex]

Step-by-step explanation:

The square root of 100 is 10.

Divide the exponents of [tex]m^2 n^6[/tex] by 2.

You get: [tex]mn^3[/tex]

Put them together and add on the ^2

You get [tex](10mn^3)^2[/tex]

I hope this helps!

Lines c and d are parallel lines cut by transversal p.


Horizontal and parallel lines c and d are cut by transversal p. On line c where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 1, 2, 3, 4. On line d where it intersects with line p, 4 angles are formed. Clockwise, from uppercase left, the angles are: 5, 6, 7, 8.
Which must be true by the corresponding angles theorem?
A. ∠1 ≅ ∠7
B. ∠2 ≅ ∠6
C. ∠3 ≅ ∠5
D. ∠5 ≅ ∠7

Answers

Answer:

Option (B).

Step-by-step explanation:

Here there are two parallel lines c and d cuts by a transversal p.

The angles are formed as shown in diagram.

Here,

[tex]\angle 1 = \angle 7 (alternate)\\\\\angle 2 = \angle 6 (corresponding)\\\\\angle 3 = \angle 5 (alternate)\\\\\angle 5 = \angle 7 (alternate)[/tex]

So, the option (B) is correct.

What is sin 28°?
62
8
17
90
15
28
A.
Sooden
O c.
O

Answers

Answer:

the sin of 28 degree is 28

Step-by-step explanation:

it's the same degree in radians I hope this help

shanika has a lamp that she wants to send to her sister in baltimore.the lamp is in the shape of a rectangular prism.it measures 14 high, 9 wide, and 3 long.she wants to buy a box so that there is 1 all around the lamp for bubble wrap

Answers

Consider we need to find the dimensions and volume of the box.

Given:

The shape of the lamp is a rectangular prism.

It measures 14 high, 9 wide, and 3 long.

There is 1 all around the lamp for bubble wrap

To find:

The dimensions and volume of the box.

Solution:

Length of the box is:

[tex]3+2=5[/tex]

Width of the box is:

[tex]9+2=11[/tex]

Height of the box is:

[tex]14+2=16[/tex]

Therefore, the dimensions of the box are 5 by 11 by 16 units.

The volume of the box is:

[tex]V=l\times w\times h[/tex]

Where, l is length, w is width and h is height.

Putting [tex]l=5, w=11, h=16[/tex], we get

[tex]V=5\times 11\times 16[/tex]

[tex]V=880[/tex]

Therefore, the volume of the box is 880 cubic units.

please help!!!!!! 50 points!!

Answers

Area of first rectangle= 5×2=10units

Area of second rectangle= 3×2= 6 units

Area of third rectangle = 5×2= 10 units

Now,

Total area of figure = 10+6+10= 26units✓

Answer:

26

Step-by-step explanation:

we want to figure out the area of the composite figure notice that the composite figure contains three rectangles therefore in order to find the area of the composite figure we need find the area of the rectangles first

finding the area of the first & last rectangles:

the first and last rectangles are congruent therefore they will have the same area thus

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = l \times w[/tex]

from the figure we obtain:

[tex]l = 5[/tex][tex]w = 2[/tex]

thus substitute:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 5\times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 1)rect} = A _{ \rm 3)rect} = 10[/tex]

finding the area of the middle rectangle:

the middle rectangle has a length and width of 3 and 2 respectively Thus

[tex] \displaystyle A _{ \rm 2)rect} =3 \times 2[/tex]

simplify multiplication:

[tex] \displaystyle A _{ \rm 2)rect} =6[/tex]

finding the area of the composite figure:

[tex] \rm \displaystyle A _{ \rm composite} = A _{ \rm 1)rect} + A _{ \rm 2)rect} + A _{ \rm 3)rect} [/tex]

substitute what we got:

[tex] \rm \displaystyle A _{ \rm composite} = 10 + 6 + 10[/tex]

simplify addition:

[tex] \rm \displaystyle A _{ \rm composite} = \boxed{ 26}[/tex]

hence,

the answer is 26 square units

Two legs of a right triangle measure 23 inches and 38 inches. What is the length of the hypotenuse, to the nearest
inch?

Answers

Answer:

hypotenuse ≈ 44 inches

Step-by-step explanation:

Using Pythagoras' identity

The square on the hypotenuse is equal to the sum of the squares on the other two sides.

let the hypotenuse be h , then

h² = 23² + 38² = 529 + 1444 = 1973 ( take square root of both sides )

h = [tex]\sqrt{1973}[/tex] ≈ 44 inches ( to the nearest inch )

If you draw a card with a value of three or less from a standard deck of cards, I will pay you $43, If not, you pay me $11 (Aces are considered the highest card in the deck.) Step 1 of 2 : Find the expected value of the proposition. Round your answer to two decimal places. Losses must be expressed as negative values

Answers

Answer:

$1.46

Step-by-step explanation:

Required cards for winning :

1's, 2's and 3's

There are 4 cards of each in a total of 52 cards ;

Therefore, number of winning cards ;

(4 * 3) = 12 cards

Hence,

P(winning) = 12 / 52 = 3 / 13

P(not winning) = 1 - 3 /13 = (13 - 3) / 13 = 10/13

Earning (X)

Amount earned for winning = $43

Amount lost for not winning = $11

X ___ $43 ______ - $11

P(X) _ 3/13 _______ 10/13

Expected value, E(X) = ΣX*P(X)

Σ(X) = (43 * 3/13) + (-11 * 10/13)

E(X) = 9.9230769 - 8.4615384

E(X) = 1.4615385

E(X) = $1.46

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