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Maksim231197 [3]
3 years ago
10

Find the remainder when f(x) is divided by (x - k). f(x) = 4x3 - 5x2 + 2x + 11; k= 3 (2 points)

Mathematics
1 answer:
elena55 [62]3 years ago
4 0
<span>If k=3, then you must be diving the polynomial by (x-3) which means you substitute x=3 into the formula. The remainder is whatever you have left over.

</span>
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If the basalt at the top of the ancient valley below Vulcan's Throne yields a radiometric date (K-Ar) of 15,000 years, and the l
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Answer:

1.69\times 10^3feet/million year

Step-by-step explanation:

We are given that

Elevation of top of basalt in valley =4100 feet

Elevation of bottom of basalt in valley =2100 feet

Age of top of basalt in valley=15000 years

Age of bottom of basalt in valley=1.2 million years=1.2\times 10^6 years=1200000 years

We have to find the rate of basalt filling in the valley in feet per million yeas

Rate of basalt filling in the valley=\frac{Elevation\;of\;top\;of\;basalt\;in\;valley-elevation\;of\;bottom\;of\;basalt\;in\;valley}{age\;of\;bottom\;of\;basalt\;in\;valley-age\;of\;top\;of\;basalt\;in\;valley}

Rate of basalt filling in the valley=\frac{4100-2100}{1200000-15000}=\frac{2000}{1185000}=1.69\times 10^{-3} feet/year

Rate of basalt filling in the valley=1.69\times 10^{-3}\times 10^{6}=1.69\times 10^3feet/million year

6 0
4 years ago
write the equation of the line that passes through the point (2,-3) and is perpendicular to the line y=-2x+3. And how do you fin
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Answer:

y=2x-7

Step-by-step explanation:

The easiest way to answer this would be by using the slope-intercept form equation, y=mx+b. In this case, we can use our given in information to plug in values and find the equation.

Firstly, let's assess what know and what we don't:

Given the point (2,-3), we know that x=2 and y=-3. Now the slope for a perpendicular line can be found using a negative reciprocal, since the product of the slopes of both lines should equal -1. Therefore the slope must be 2.

All that's left is b, the y-intercept. To solve for this, we simply plug in what we have.

y=mx+b

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Now that we have b, we can write the equation:

y=2x-7

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5 makes sense since the period of time this takes place is 5 days. therefore [?] should be 5

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