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adoni [48]
3 years ago
6

Please help!!!!! 10 points!!

Mathematics
2 answers:
IrinaK [193]3 years ago
4 0

Answer:

Both calculated the slope as 1/3

Step-by-step explanation:

Avis:


Rise = 4

Run = 12

Rise goes over the run:   4/12

4/12 simplifies into 1/3


Alec:


Rise= 2

Run= 6

Rise goes over the run:   2/6

2/6 simplifies into 1/3

GuDViN [60]3 years ago
3 0
Both calculated the slope as 1/3
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HELP ME!!!
larisa [96]

Answer:

  -2, 8/3

Step-by-step explanation:

You can consider the area to be that of a trapezoid with parallel bases f(a) and f(4), and width (4-a). The area of that trapezoid is ...

  A = (1/2)(f(a) +f(4))(4 -a)

  = (1/2)((3a -1) +(3·4 -1))(4 -a)

  = (1/2)(3a +10)(4 -a)

We want this area to be 12, so we can substitute that value for A and solve for "a".

  12 = (1/2)(3a +10)(4 -a)

 24 = (3a +10)(4 -a) = -3a² +2a +40

  3a² -2a -16 = 0 . . . . . . subtract the right side

  (3a -8)(a +2) = 0 . . . . . factor

Values of "a" that make these factors zero are ...

  a = 8/3, a = -2

The values of "a" that make the area under the curve equal to 12 are -2 and 8/3.

_____

<em>Alternate solution</em>

The attachment shows a solution using the numerical integration function of a graphing calculator. The area under the curve of function f(x) on the interval [a, 4] is the integral of f(x) on that interval. Perhaps confusingly, we have called that area f(a). As we have seen above, the area is a quadratic function of "a". I find it convenient to use a calculator's functions to solve problems like this where possible.

5 0
4 years ago
Y intercept of points (3,5) and (7,8)
frosja888 [35]

Answer:

positive

Step-by-step explanation:

6 0
3 years ago
what percentage of people choose baseball or soccer as their favorite sport there is a circle 25% play basketball 35% play footb
erma4kov [3.2K]

Answer:

  35% chose baseball or soccer

Step-by-step explanation:

  baseball or soccer = 20% + 15% = 35%

_____

The categories add to 100%, so are mutually exclusive, as you expect when they are "favorite sport" categories. Hence the union of two of them will be their sum. (Otherwise, you'd have to subtract the amount by which the categories overlap.)

3 0
3 years ago
Evaluate 8 • 3^x for (a) x = -2 and (b) x = 3. Write your<br> answers in simplest form.
Levart [38]

Answer: 216

Step-by-step explanation:

6 0
3 years ago
The volume of the prism shown is 72. in3
Vesna [10]

Answer:

  24 in³

Step-by-step explanation:

The volume of a prism is given by the formula ...

  V = Bh

where B is the area of the base, and h is the height.

The volume of a pyramid is given by the formula ...

  V = (1/3)Bh

where B and h have the same definitions.

For a pyramid with the same B and h as a prism, the volume is 1/3 that of the prism:

  (1/3) × (72 in³) = 24 in³ . . . . volume of the pyramid

8 0
3 years ago
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