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3 years ago

Which pair of slopes could represent parallel lines?

1 answer:

6 0

M = -3, m = -9/3

because when you divide -9/3, you get -3, so the slopes would be the same.
If the slopes are the same (and their intercepts are different) then that pair of slopes represents parallel lines!

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Find the volume of the irregular figure

devlian [24]

Answer:

is there a picture i dont see them

Step-by-step explanation:

3 0

3 years ago

Let f(x) = cxe−x2 if x ≥ 0 and f(x) = 0 if x < 0.

sergij07 [2.7K]

(a) If f(x) is to be a proper density function, then its integral over the given support must evaulate to 1:

$\displaystyle\int_{-\infty}^\infty f(x)\,\mathrm dx = \int_0^\infty cxe^{-x^2}\,\mathrm dx=1$

For the integral, substitute u = x ² and du = 2x dx. Then as x → 0, u → 0; as x → ∞, u → ∞:

$\displaystyle\frac12\int_0^\infty ce^{-u}\,\mathrm du=\frac c2\left(\lim_{u\to\infty}(-e^{-u})-(-1)\right)=1$

which reduces to

c / 2 (0 + 1) = 1 → c = 2

(b) Find the probability P(1 < X < 3) by integrating the density function over [1, 3] (I'll omit the steps because it's the same process as in (a)):

$\displaystyle\int_1^3 2xe^{-x^2}\,\mathrm dx = \boxed{\frac{e^8-1}{e^9}} \approx 0.3678$

5 0

3 years ago

An automobile purchased for $39,000 is worth $1800 after 6 years. Assuming that the car's value depreciated steadily from year t

ad-work [718]

Answer:

3600

Step-by-step explanation:

1800+1800

7 0

3 years ago

Using the given points, determine the slope. (0, 32) and (100, 212)

wlad13 [49]

The equation for finding the slope of a line is $\frac{y_2-y_1}{x_2-x_1}$ . After substituting in the points, we get

4 0

3 years ago

Read 2 more answers

If an original price is 1,195 and increased to 2,075 what is the percent

Ivenika [448]

$|1195 - 2075| = | - 880| = 880$
$1195 + 2075 = 3270 \div 2 = 1635$
$\frac{880}{1635} = 0.538226 \times 100$ = 53.8226% difference

3 0

3 years ago