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Marta_Voda [28]

2 years ago

15

How many subsets does A have?

1 answer:

finlep [7]2 years ago

7 0

A set with n elements has 2^n subsets, including the empty set and the complete set.

Your set has 2^6 = 64 subsets.

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1. Write an equation in slope-intercept form for a line passing through (-3,3) with a slope of 1.

PIT_PIT [208]

1)

$\bf (\stackrel{x_1}{-3}~,~\stackrel{y_1}{3})~\hspace{10em} slope = m\implies 1 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-3=1[x-(-3)] \\\\\\ y-3=1(x+3)\implies y-3=x+3\implies y=x+6$

2)

$\bf (\stackrel{x_1}{-4}~,~\stackrel{y_1}{2})\qquad (\stackrel{x_2}{1}~,~\stackrel{y_2}{12}) \\\\\\ slope = m\implies \cfrac{\stackrel{rise}{ y_2- y_1}}{\stackrel{run}{ x_2- x_1}}\implies \cfrac{12-2}{1-(-4)}\implies \cfrac{10}{1+4}\implies \cfrac{10}{5}\implies 2 \\\\\\ \begin{array}{|c|ll} \cline{1-1} \textit{point-slope form}\\ \cline{1-1} \\ y-y_1=m(x-x_1) \\\\ \cline{1-1} \end{array}\implies y-2=2[x-(-4)]\implies y-2=2(x+4) \\\\\\ y-2=2x+8\implies y=2x+10$

8 0

3 years ago

What is the value of the 5 in 0.750

Anni [7]

It is in the hundrethds place

4 0

3 years ago

1) Given the function f(x) = 2x -3, evaluate f(3).

igomit [66]

Answer:

1) $f(3) = 3$

2) $x = 2$

Step-by-step explanation:

Given:

$f(x) = 2x -3$

Evaluating $f(3)$ :

$f(3) = 2(3) -3 \\ f(3) = 6 -3 \\ f(3) = 3$

Solving for $f(x) = -1$ :

$2x -3 = 1 \\ 2x -3 +3 = 1 +3 \\ 2x = 4 \\ \frac{2x}{2} = \frac{4}{2} \\ x = 2$

3 0

2 years ago

Translate this sentence into an equation. 144 is the product of Diego's age and 9.

kari74 [83]

Step-by-step explanation:

Represent Diego's age by d. Then 9d=144.

7 0

3 years ago

A hockey coach was taking her team out to a picnic lunch to celebrate their first win. She made 15 sandwiches, 6 of which were t

alexira [117]

The probability that exactly 3 of the chosen sandwiches are turkey is; 0.004

<h3 /><h3>How to find the probability combination?</h3>

We are given;

Total number of sandwiches = 15

Number of sandwiches that were turkey = 6

Now, she selects 6 of the sandwiches and we want to find the probability that exactly 3 are turkey.

Now, number of ways of selecting 6 sandwiches is; 15C6

Number of ways of selecting 3 turkey's out of the 6 chosen is; 6C3

Thus, the probability that exactly 3 of the chosen sandwiches are turkey is; 6C3/15C6 = 20/5005 = 0.004

Read more about Probability combination at; brainly.com/question/3901018

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7 0

10 months ago