What is the answer to a0/12 = -6

Line N passes through the points (–1, 4) and (–1, –4).Which is true of line N? Line N is a vertical line with an undefined slope

Marrrta [24]

Answer:

Line N is a vertical line with an undefined slope.

Step-by-step explanation:

When the points that line N passes through are graphed, they form a vertical line.

All vertical lines have an undefined slope.

We can also check if it's undefined by finding the slope.

$m=\frac{-4-4}{-1+1}=\frac{-8}{0}$

The quotient would be undefined. You cannot divide by zero.

Hope this helps.

7 0

3 years ago

I need help I’m timed what is the y- intercept of the linear function? y= 1/2 x + 4

Gennadij [26K]

Answer: (0,4)

Step-by-step explanation:

5 0

2 years ago

Find the following integral

ololo11 [35]

There's nothing preventing us from computing one integral at a time:

$\displaystyle \int_0^{2-x} xyz \,\mathrm dz = \frac12xyz^2\bigg|_{z=0}^{z=2-x} \\\\ = \frac12xy(2-x)^2$

$\displaystyle \int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy = \frac12\int_0^{1-x}xy(2-x)^2\,\mathrm dy \\\\ = \frac14xy^2(2-x)^2\bigg|_{y=0}^{y=1-x} \\\\= \frac14x(1-x)^2(2-x)^2$

$\displaystyle\int_0^1\int_0^{1-x}\int_0^{2-x}xyz\,\mathrm dz\,\mathrm dy\,\mathrm dx = \frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx$

Expand the integrand completely:

$x(1-x)^2(2-x)^2 = x^5-6x^4+13x^3-12x^2+4x$

Then

$\displaystyle\frac14\int_0^1x(1-x)^2(2-x)^2\,\mathrm dx = \left(\frac16x^6-\frac65x^5+\frac{13}4x^4-4x^3+2x^2\right)\bigg|_{x=0}^{x=1} \\\\ = \boxed{\frac{13}{240}}$

4 0

2 years ago

Part III: Bailey works part-time at a movie theater. The theater pays employees an hourly wage based on their length of employme

frutty [35]

Given the following table showing the hourly wages of employees of a movie theater based on their length of employment.

Length of employment (months) Hourly wage (dollars/hour)
6 months 7.55
12 months 7.85
18 months 8.15
24 months 8.45

To obtain an algebraic expression that describes how much Bailey’s employer pays part-time workers, we take two points from the table.

Recall that the equation of a linear function satisfying two points
$(x_1,y_1)$ and $(x_2,y_2)$
is given by
$\frac{y-y_1}{x-x_1} = \frac{y_2-y_1}{x_2-x_1}$

Given the two points (6, 7.55) and (12, 7.85), the algebraic expression relating the two points is given by
$\frac{y-7.55}{x-6} = \frac{7.85-7.55}{12-6} = \frac{0.3}{6} \\ \\ 6(y-7.55)=0.3(x-6) \\ \\ 6y-45.3=0.3x-1.8 \\ \\ 0.3x-6y=-43.5$

Therefore, the algebraic expression that describes how much Bailey’s employer pays part-time workers is
$0.3x-6y=-43.5$

5 0

2 years ago

Choose the correct simplification of the expression a^7b^8/a^4b^4

Alex787 [66]

The answer is B: a^3b^4

Proof:
Simplify the following:
(a^7 b^8)/(a^4 b^4)

Combine powers. (a^7 b^8)/(a^4 b^4) = a^(7 - 4) b^(8 - 4):
a^(7 - 4) b^(8 - 4)

7 - 4 = 3:
a^3 b^(8 - 4)

8 - 4 = 4:
Answer: a^3 b^4

PS: I just wish that you put the equation down as it's intended i.e.
a^7b^8/a^4b^4 is not the same as (a^7b^8)/(a^4b^4)

4 0

3 years ago

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