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3 years ago

Identify the graph of (x+3)^2 - 4y for T(-7,2) and write and equation of the translated or rotated graph in general form.

Mathematics

1 answer:

Firlakuza [10]3 years ago

4 0

Answer:

Step-by-step explanation:

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(1 point) 6 cards are drawn at random without replacement from a standard deck. Be accurate to 7 decimal places. a) Find the pro

V125BC [204]

Answer:

a) P=0.0000843

b) P=0.0000454

c) P=0.0066113

Step-by-step explanation:

6 cards are drawn at random without replacement from a standard deck.

a) We calculate the probability that all the cards are hearts.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{13}=\frac{13!}{6!(13-6)!}=1716$

Therefore, the probability is

$P=\frac{1716}{20358520}\\\\P=0.0000843$

b) We calculate the probability that all the cards are face cards.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{12}=\frac{12!}{6!(12-6)!}=924$

Therefore, the probability is

$P=\frac{924}{20358520}\\\\P=0.0000454$

c) We calculate the probability that all the cards are even.

We calculatethe number of possible combinations:

$C^{52}_6=\frac{52!}{6!(52-6)!}=20358520$

We calculate the number of favorable combinations:

$C_6^{24}=\frac{24!}{6!(24-6)!}=134596$

Therefore, the probability is

$P=\frac{134596}{20358520}\\\\P=0.0066113$

7 0

3 years ago

Which of the following expressions is equivalent to 1/3 ÷ 3/4

REY [17]

The right answer is D 1/3x4/3

7 0

3 years ago

Highest common factor of 460 and 756

lara [203]

Answer:

The GCF of 460 and 756 is 4

4 0

2 years ago

Read 2 more answers

Graph the function f(x)=1/2 sqrt(x+1)

goldenfox [79]

The function is defined only if $x+1 \geq 0 \iff x \geq -1$ . So, the leftmost point is $x=-1$ , and we have

$f(-1)=\frac{1}{2}sqrt(-1+1) = 0$

So, the first point is $(-1,0)$

The three additional points seem arbitrary, so let's choose $x=0,1,2$ . We have:

$f(0)=\frac{1}{2}sqrt(0+1) = \frac{1}{2}$

So, the second point is $(0,\frac{1}{2})$

$f(1)=\frac{1}{2}sqrt(1+1) = \frac{\sqrt{2}}{2}$

So, the third point is $(1,\frac{\sqrt{2}}{2})$

$f(2)=\frac{1}{2}sqrt(2+1) = \frac{\sqrt{3}}{2}$

So, the fourth point is $(2,\frac{\sqrt{3}}{2})$

3 0

4 years ago

What is the slope of the line that passes through the points (1, 1) and (4, 4)?

gizmo_the_mogwai [7]

Answer:

The answer is 1

Step-by-step explanation:

Formula for finding the slope: $\frac{y2-y1}{x2-x1}$

Take y2 and y1 from (4,4) (1,1)

Take x2 and x1 from (4,4) (1,1)

$\frac{y2-y1}{x2-x1} = \frac{4-1}{4-1} = \frac{3}{3} = 1$

This is how the answer is 1

Hope it helps :)

8 0

2 years ago