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wariber [46]
3 years ago
11

At Jefferson Middle School, eighty-two students were asked which sports they plan to participate in for the coming year. Twenty

students plan to participate in track and cross country; six students in cross country and basketball; and eight students in track and basketball. Twelve students plan to participate in all three sports. A total of thirty students plan to participate in basketball, and a total of forty students plan to participate in cross country. Ten students don't plan to participate in any of the three sports.
How many students plan to just participate in track?
Mathematics
1 answer:
nydimaria [60]3 years ago
4 0

Answer:

20

Step-by-step explanation:

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What is the slope and y intercept of the line 6x + 2y = 12
Dafna11 [192]

Answer:

Slope: -3

y- intercept: (0, 6)

Step-by-step explanation:

8 0
3 years ago
A)-15<br> B)-16<br> C)-30<br> D)-32
777dan777 [17]

Answer:

  A)  -15

Step-by-step explanation:

The average rate of change of f(x) on interval [a, b] is given by ...

  (f(b) -f(a))/(b -a)

Here, you have ...

  f(x) = -2^x +70

  [a, b] = [2, 6]

so the average rate of change is ...

  (f(6) -f(2))/(6 -2) = ((-2^6 +70) -(-2^2 +70))/4 = (-64 +4)/4 = -16+1

  average rate of change = -15

8 0
3 years ago
Find the value of k for x^2 - 2kx+7k -12=0 so that they have two equal roots
Alisiya [41]

Step-by-step explanation:

x^2 -2kx +7k -12 = 0

two equal roots -->Δ = b^2 -4ac = 4k^2 - 4(7k-12)=0 = 4(k^2 - 7k +12)=4(k-4)(k-3)=0

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5 0
3 years ago
Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y. Draw a typical approximating
exis [7]

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.

6 0
3 years ago
One rectangle is devided into four parts. How much is one part?
Rom4ik [11]

Answer:

P = \¼R

Step-by-step explanation:

Given

Shape: Rectangle

Division = 4 parts

Required

How much is one part of the division

Represent the rectangle with R and the parts with P

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P = \frac{R}{4}

P = \¼R

<em>This implies that the one part of the division is ¼ of the divided rectangle</em>

7 0
3 years ago
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