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Vitek1552 [10]
2 years ago
14

A line's y-intercept is 3, and its slope is 5. What is its equation in slope-intercept form?

Mathematics
1 answer:
Paraphin [41]2 years ago
8 0
Format: y = mx + b
m = slope, b = y intercept
Plug into the format
Solution: y = 5x + 3
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Answer:

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Step-by-step explanation:

r represents the rate the electric company charges per kilowatt-hour.


Total charged to Zhao was 63.25 out of which 3.50 is administrative charge (fixed).

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Find the volume of the solid under the plane 5x + 9y − z = 0 and above the region bounded by y = x and y = x4.
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For the region, we first find its boundary curves' points of intersection.
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The volume of the solid equals

\int\limits^1_0 { \int\limits_{x^4}^x {(5x+9y)} \, dy } \, dx = \int\limits^1_0 {\left[5xy+ \frac{9}{2} y^2\right]_{x^4}^{x}} \, dx  \\  \\ =\int\limits^1_0 {\left[\left(5x(x)+ \frac{9}{2} (x)^2\right)-\left(5x(x^4)+ \frac{9}{2} (x^4)^2\right)\right]} \, dx  \\  \\ =\int\limits^1_0 {\left(5x^2+ \frac{9}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx =\int\limits^1_0 {\left( \frac{19}{2} x^2-5x^5- \frac{9}{2} x^8\right)} \, dx \\  \\ =\left[ \frac{19}{6} x^3- \frac{5}{6} x^6- \frac{1}{2} x^9\right]^1_0

=\frac{19}{6} - \frac{5}{6} - \frac{1}{2} =\bold{ \frac{11}{6} \ cubic \ units}</span>
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3 years ago
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Answer:

<h3>              D. (2, 7)</h3>

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