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zalisa [80]
3 years ago
10

For the given equation, find the values of a, b, and c, determine the direction in which the parabola opens, and determine the y

-intercept. Decide which table best illustrates these values for the equation:
y = 3 x squared + 2 x minus 8
Table A
a
b
c
up or down
y-intercept
3
2
-8
up
(0,-8)

Table B
a
b
c
up or down
y-intercept
3
2
8
up
(0,-8)

Table C
a
b
c
up or down
y-intercept
3
2
8
up
(0,8)

Table D
a
b
c
up or down
y-intercept
3
2
-8
down
(0,-8)

a.
Table A
c.
Table C
b.
Table B
d.
Table D

Mathematics
1 answer:
Zolol [24]3 years ago
5 0

Answer:

Step-by-step explanation:

In the quadratic

3x^2+2x-8 the sign on the leading coefficient is positive, so the parabola opens upwards. The y-intercept exists where the x's are equal to 0, so the y-intercept is (0, -8). Match that to the table that has those characteristics in it.

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Setler79 [48]

Answer:

a = \frac{1}{2}. Surface Area = \frac{4}{3}ft^{2}. and area of the Dish = \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}

Step-by-step explanation:

(1) Constant. y(x) = ax^{2} that is the curve that we need to rotate around the y axis to get the parabola with diameter of 8 feet and 2 meter depth that statement is translated in mathematics as x = -4 to 4 and y = 0 to 2.

y max = 2, x max = 4 setting up a equation with a unknown gives

2=a4 and  a = \frac{1}{2}.

so we have now.

y(x) = \frac{1}{2}x^{2} (Done with solving for a Constant).

(2) Surface Area.

Setting Up surface integral.

(i) range in x = 0 to 4.

(ii) range in y = 0 to 2.

integral is.

Integral(0-2)[{integral[(0-4)\frac{1}{32}x^{2}]}]dy

Evaluating this integral gives. \frac{4}{3}ft^{2}.

and area is surface area + area of the circle with 8ft diameter.

= \frac{4}{3}ft^{2}+pi4^{2} = \frac{4}{3}ft^{2}+50.27=51.6ft^{2}...

Note the Difference between area and aurface area.!

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What is the value of -16 divided by 2.5
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8 0
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Carrie works due south of her apartment. Her friend Sarah works due east of the
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Answer:

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Step-by-step explanation:

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4 0
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Answer:

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Step-by-step explanation:

Let x represent the speed of the first train in mph. Since the second train, is 30 mph faster then the first, therefore the speed of the second train is (x + 30).

The first train leaves at 1:00 pm, therefore at 6:00 pm, the time taken is 5 hours. Therefore the distance covered by the first train at 6:00 pm = x mph * 5 hours = 5x miles

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