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Whitepunk [10]
2 years ago
10

If x varies inversely as v, and x = 35 when v = 3, find x when v = 15

Mathematics
1 answer:
MAXImum [283]2 years ago
4 0

Answer:

x = 7

Step-by-step explanation:

Given that,

x varies inversely as v.

When v = 3, x = 35.

We need to find x when v = 15

ATQ,

x=\dfrac{k}{v}

Put v = 3, x = 35,

k=3\times 35\\\\k=105

Now put v = 15 and k = 105

x=\dfrac{105}{15}\\\\x=7

So, the required value of x is equal to 7.

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(see figure 4 in the attached images below)

===========================================

Explanation:

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Let's graph 2y >= x-4. Start off by dividing everything by 2 to get y >= (1/2)x-2. The boundary line is y = (1/2)x-2 which goes through the two points (0,-2) and (4,0). The boundary line is solid. We shade above the boundary line. Check out figure 2 in the attached images below.

After we graph each individual inequality, we then combine the two regions on one graph. See figure 3 below. The red and blue shaded areas in figure 3 overlap to get the purple shaded area you see in figure 4, which is the final answer. Any point in this purple region will satisfy both inequalities at the same time. The solution point cannot be on the dashed line but it can be on the solid line as long as the solid line is bordering the shaded purple region. Figure 4 matches up perfectly with the bottom right corner in your answer choices.

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Step-by-step explanation:

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