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1 year ago

Which of these equations are shown on the graph?

Mathematics

1 answer:

UkoKoshka [18]1 year ago

3 0

The equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

<h3>Equation of a line </h3>

From the question, we are to determine the equation that represent the given line

To determine the equation, we will pick two points on the line and determine the equation of the line

Picking the points (0, 3) and (3, 9)

Using the formula for the finding the equation of a line with two given points

(y - y₁)/(x - x₁) = (y₂ - y₁)/(x₂ - x₁)

x₁ = 0

y₁ = 3

x₂ = 3

y₂ = 9

Then,

(y - 3)/(x - 0) = (9 - 3)/(3 - 0)

(y - 3)/x= 6/3

(y - 3)/x= 2

y - 3 = 2x

y = 2x + 3

Hence, the equation shown on the graph is y = 2x + 3. The correct answer is C. y = 2x +3

Learn more on Equation of a line here: brainly.com/question/4074386

#SPJ1

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Two gears are adjusted so that the smaller gear drives the larger one. if the smaller gear of 3.7cm rotates through an angle of

zepelin [54]

Answer:

<em>The larger gear will rotate through 156°</em>

Step-by-step explanation:

<u>Arc Length</u>

The arc length S of an angle θ on a circle of radius r is:

$S = \theta r$

Where θ is expressed in radians.

The smaller gear of r1=3.7 cm drives a larger gear of r2=7.1 cm. The smaller gear rotates through an angle of θ1=300°.

Convert the angle to radians:

$\displaystyle \theta_1=300*\frac{\pi}{180}=\frac{5\pi}{3}$

The arc length of the smaller gear is:

$\displaystyle S_1=\frac{5\pi}{3}\cdot 3.7$

$\displaystyle S_1=\frac{18.5\pi}{3}$

The larger gear rotates the same arc length, so:

$\displaystyle S_2=\frac{18.5\pi}{3}$

$\displaystyle \theta_2\cdot r_2=\frac{18.5\pi}{3}$

Solving for θ2:

$\displaystyle \theta_2=\frac{18.5\pi}{3r_2}$

$\displaystyle \theta_2=\frac{18.5\pi}{3*7.1}$

$\theta_2=2.73\ radians$

$\displaystyle \theta_2=2.73*\frac{180}{\pi}=156$

The larger gear will rotate through 156°

7 0

3 years ago

For which situations is it appropriate to use a sample? Select three options.

maw [93]

Answer:

B C D

Step-by-step explanation:

We use samples when using an entire population is not feasible.

It is not reasonable to ask every pick-up truck driver what they want their next purchase to be; there are too many owners of pick-up trucks. This means we should use a sample.

Many people drive a highway that connects two large cities. It is not reasonable to survey every person that drives it, so we should use a sample.

On a busy road, we may have many pedestrians; this means we should use a sample instead of the entire population.

XOXO

Kit

brainly.com/question/17113732 <-- hopes this link helps ya ^w^

7 0

3 years ago

At a hockey game, a vender sold a combined total of 216 and hot dogs. The number of sodas sold was three times the number of hot

Scilla [17]

216 x 3 = 648

If you want to add the hot dogs to that number it would be 864

3 times 216 is 648 cans of soda

plus 216 of hot dogs

so you have 216 hot dogs and 648 sodas

6 0

4 years ago

Kedar is comparing the costs of phone plans. For phone plan A, the cost is $15.00 to connect and then $0.02 per minute. For phon

zysi [14]

Answer:

The answer is (D): 2 h 52 min

Step-by-step explanation:

write these equations separately as functions:

A(x)=15+0.02m

B(x)=4.69+0.08m

Since we want to find when they are equal, set them equal to each other:

15+0.02m=4.69+0.08m

simplifying this equation gives

10.31+0.02m=0.08m

subtract 0.02m from both sides

10.31=0.06m

divide both sides by 0.06

m=171.833 etc approximately equals 172 minutes

172 min/60=

2 hours and 52 min

Hope this helps!

4 0

4 years ago

Read 2 more answers

If the area of a circle is 24.5cm^2, what is the circumference?

kobusy [5.1K]

Answer:

Step-by-step explanation:

17.55cm

8 0

3 years ago