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1 year ago

Find the intercepts and graph the equation. 7x +5y=12

Mathematics

1 answer:

vazorg [7]1 year ago

3 0

Answer:

y-intercept: (0, 12/5) or (0, 2.4)

x-intercept: (12/7, 0) or (1.714, 0)

Step-by-step explanation:

The y-intercept is the point where the graph crosses the y-axis. That means, the point (0, yi). To find yi, we have to substitute x by 0 in the equation.

7x + 5y=12

7*0 + 5y = 12

y = 12/5 = 2.4

y-intercept: (0, 12/5) or (0, 2.4)

The x-intercept is the point where the graph crosses the x-axis. That means, the point (xi, 0). To find xi, we have to substitute y by 0 in the equation.

7x + 5y=12

7x + 5*0 = 12

x = 12/7 = 1.714

x-intercept: (12/7, 0) or (1.714, 0)

Finally, the graph is shown below.

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A bicycle tire has a diameter of 62 \text{ cm}62 cm62, start text, space, c, m, end text. What is the distance the bicycle tire

navik [9.2K]

Answer:

The distance bicycle tire travels is 1946.8 cm.

Step-by-step explanation:

Given:

Diameter of bicycle tire = 62 cm.

The bicycle tire travels in 10 revolutions.

Now, to find the distance the bicycle tire travels in 10 revolutions.

Diameter = 62 cm.

Radius (r) = $\frac{Diameter}{2}=\frac{62}{2}=31\ cm.$

So, we get the circumference first by putting formula:

$Circumference =2\pi r$

$Circumference =2\times 3.14\times 31\\\\Circumference =194.68\ cm.$

Thus, we get the circumference of tire 194.68 cm.

Number of revolutions the tire travels = 10.

Now, to get the distance the bicycle tire travels we multiply circumference of tire by number of revolutions the tire travels:

$194.68\ cm\times 10\\\\=1946.8\ cm.$

Therefore, the distance bicycle tire travels is 1946.8 cm.

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3 years ago

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The perimeter of the rectangle below is 46 units. Find the length of side RS. Write your answer without variables.

inessss [21]

Answer:

30 units

Step-by-step explanation:

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3 years ago

Veterinarians often use nonsteroidal anti-inflammatory drugs (NSAIDs) to treat lameness in horses. A group of veterinary researc

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Answer:

C. The chance to be selected into the sample was the same for all veterinarians

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3 years ago

Ron made 3 pitchers of lemonade to sell at a lemonade stand. The cost of making the lemonade is 50 cents per pitcher of lemonade

julia-pushkina [17]

Answer:

3.90 I think.

Step-by-step explanation:

first, 15×36. then subtract 50 three times.

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2 years ago

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13 + 11s = -15 + 8s − 20

koban [17]

Answer,

S = -16

Explanation,

Step 1: Simplify both sides of the equation.

13 + 11s = − 15 + 8s − 20

13 + 11s = − 15 + 8s + − 20

11s + 13 = (8s) + (− 15 + − 20) (Combine Like Terms)

11s + 13 = 8s + − 35

11s + 13 = 8s − 35

Step 2: Subtract 8s from both sides.

11s + 13 − 8s = 8s − 35 − 8s

3s + 13 = − 35

Step 3: Subtract 13 from both sides.

3s + 13 − 13 = − 35 − 13

3s = − 48

Step 4: Divide both sides by 3.

3s/3 = −48/3

s = -16

Hope this helps :-)

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3 years ago