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3 years ago

What is the equation of the line that passes through the point (−8,3) and has a slope of -1/4?

Mathematics

1 answer:

tensa zangetsu [6.8K]3 years ago

6 0

Answer:

y=-1/4x+1

Step-by-step explanation:

so here are my steps after plugging in the numbers:

y-3=-1/4(x+8)

y-3=-1/4x-2

y=-1/4x+1

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Gretchen has eight socks, two of each color: magenta, cyan, black, and white. she randomly draws four socks. what is the probabi

Svetllana [295]

Begin by computing the number of all the possibilities:
It is given by the following formula: $C_8^4=\frac{8!}{4!(8-4)!}= \frac{8\times7\times6\times5}{4\times3\times2}=70$
Computing the number of favorable cases:
Exactly one pair of socks with the same color means either one magenta pair,
or one cyan pair, or one black pair or one white pair:
Number of possibilities with one magenta pair means"a magenta pair plus two socks with different colors from three possibilities" means 3 possibilities.
Same computation for the other colors.
Adding we get: $3+3+3+3=12\text{ possibilities }$
By definition, the probability of an event is the number of favorable cases over the number of possible cases:
$\frac{12}{70}= \frac{6}{35}$

The probability is $\frac{6}{35}$

3 0

4 years ago

Samantha got a bouquet of flowers. There are 2 daisies and 10 roses in the bouquet. What is the ratio of daisies to roses in the

sleet_krkn [62]

1 to 5 or 2 to 10. Hope this helps!

7 0

3 years ago

Read 2 more answers

If the original price is $40.00 and the percent of markup is 8% what is the value of the markup ?

Ne4ueva [31]

Answer=$3.20

8%=0.08

$40.00*0.08=$3.20

The markup was $3.20

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3 years ago

Read 2 more answers

Calculate the total area of the shaded region.

LUCKY_DIMON [66]

so hmmm seemingly the graphs meet at -2 and +2 and 0, let's check

$\stackrel{f(x)}{2x^3-x^2-5x}~~ = ~~\stackrel{g(x)}{-x^2+3x}\implies 2x^3-5x=3x\implies 2x^3-8x=0 \\\\\\ 2x(x^2-4)=0\implies x^2=4\implies x=\pm\sqrt{4}\implies x= \begin{cases} 0\\ \pm 2 \end{cases}$

so f(x) = g(x) at those points, so let's take the integral of the top - bottom functions for both intervals, namely f(x) - g(x) from -2 to 0 and g(x) - f(x) from 0 to +2.

$\stackrel{f(x)}{2x^3-x^2-5x}~~ - ~~[\stackrel{g(x)}{-x^2+3x}]\implies 2x^3-x^2-5x+x^2-3x \\\\\\ 2x^3-8x\implies 2(x^3-4x)\implies \displaystyle 2\int\limits_{-2}^{0} (x^3-4x)dx \implies 2\left[ \cfrac{x^4}{4}-2x^2 \right]_{-2}^{0}\implies \boxed{8} \\\\[-0.35em] ~\dotfill$

$\stackrel{g(x)}{-x^2+3x}~~ - ~~[\stackrel{f(x)}{2x^3-x^2-5x}]\implies -x^2+3x-2x^3+x^2+5x \\\\\\ -2x^3+8x\implies 2(-x^3+4x) \\\\\\ \displaystyle 2\int\limits_{0}^{2} (-x^3+4x)dx \implies 2\left[ -\cfrac{x^4}{4}+2x^2 \right]_{0}^{2}\implies \boxed{8} ~\hfill \boxed{\stackrel{\textit{total area}}{8~~ + ~~8~~ = ~~16}}$

7 0

2 years ago

A number is 75% of 85

sleet_krkn [62]

If a number is 75% of 85, the value of the number is 63.75.

Let the number the represented by 'x'

Such that; 75% of 85 = x

Solve for x.

75% of 85 = x

75% × 85 = x

75/100 × 85 = x

x = ( 75 × 85 )/100

x = 6375/100

x = 63.75

Therefore, if a number is 75% of 85, the value of the number is 63.75.

Learn more about Percentages here: brainly.com/question/24159063

#SPJ1

7 0

2 years ago