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sladkih [1.3K]
3 years ago
14

Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating

rectangle.
2x + y^2 = 48, x = y
Mathematics
1 answer:
exis [7]3 years ago
6 0

Answer:

Attached please find response.

Step-by-step explanation:

We wish to find the area between the curves 2x+y2=8 and y=x.

Substituting y for x in the equation 2x+y2=8 yields

2y+y2y2+2y−8(y+4)(y−2)=8=0=0

so the line y=x intersects the parabola 2x+y2=8 at the points (−4,−4) and (2,2). Solving the equation 2x+y2=8 for x yields

x=4−12y2

From sketching the graphs of the parabola and the line, we see that the x-values on the parabola are at least those on the line when −4≤y≤2.

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BaLLatris [955]
First, find what percentage of students had 3 or more by adding up your known percents:

45% + 23 % + 21% + x% = 100%
x = 11%

Since you're given that 96 students had 2 or more, you add up the percentages of 2 and 3 or more:

11 + 21 = 32%

Now set up a proportion that relates it to the whole:

\frac{96 students}{32 percent} = \frac{x students}{100 percent}

This will allow you to find the total number of students at the school.

Cross multiplying and solving for x results in 300 total students.

Question 1:
45% had one or more absences. 45% of 300 students is 135 students.

Question 2:
As we found before, 11% of students had three or more. 11% of 300 is 33 students.
5 0
3 years ago
Factor completely: 64x^3+1
pantera1 [17]

Answer:

Step-by-step explanation:

Sum of cubes is a^3+b^3=(a+b)(a^2-ab+b^2)

64x^3+1

(4x+1)(16x^2-4x+1)

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3 years ago
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lbvjy [14]
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6 0
2 years ago
Roy has bought two square photo frames. The ratio of their sides is 4:1. If PQ = 12 inches, what is AB? A. 12 in. B. 9 in. C. 6
aleksklad [387]

Answer:

D. 3

Step-by-step explanation:

If the ratio of their sides is 4:1, and if PQ=12 inches, then Ab=12/4=3 inches.

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3 years ago
Solve the equation: 5x + 5 = 0
Igoryamba

Answer:

x = -1

Step-by-step explanation:

5x + 5 = 0

Subtract 5 from each side

5x+5-5 = 0-5

5x = -5

Divide by 5 on each side

5x/5 = -5/5

x = -1

3 0
2 years ago
Read 2 more answers
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