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3 years ago

Write an equation in slope-intercept form for the line that passes through (0,1) and (1,3)

Mathematics

1 answer:

Lana71 [14]3 years ago

7 0

Answer:

y= 2x+1

Step-by-step explanation:

Points:

(0,1) and (1,3)

Form of the line:

y=mx+b, m- the slope, b- y-intercept

Finding the slope:

m= (y2-y1)/(x2-x1)
m=(3-1)/(1-0)= 2/1= 2

Line is now:

y= 2x+b

Using one of the given points to find out the value of b:

1=2*0+b
b=1

So the equation for the line is:

y= 2x+1

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Suppose you pick two cards from a deck of 52 playing cards. What is the probability that they are both queens?

photoshop1234 [79]

Answer:

0.45% probability that they are both queens.

Step-by-step explanation:

A probability is the number of desired outcomes divided by the number of total outcomes

The combinations formula is important in this problem:

$C_{n,x}$ is the number of different combinations of x objects from a set of n elements, given by the following formula.

$C_{n,x} = \frac{n!}{x!(n-x)!}$

Desired outcomes

You want 2 queens. Four cards are queens. I am going to call then A,B,C,D. A and B is the same outcome as B and A. That is, the order is not important, so this is why we use the combinations formula.

The number of desired outcomes is a combinations of 2 cards from a set of 4(queens). So

$D = C_{4,2} = \frac{4!}{2!(4-2)!} = 6$

Total outcomes

Combinations of 2 from a set of 52(number of playing cards). So

$T = C_{52,2} = \frac{52!}{2!(52-2)!} = 1326$

What is the probability that they are both queens?

$P = \frac{D}{T} = \frac{6}{1326} = 0.0045$

0.45% probability that they are both queens.

4 0

3 years ago

-2 1/2 x -1 2/3 please add step by step

77julia77 [94]

Hey there!

$Answer: \boxed{4\frac{1}{6}}$

$Explanation:$

Simplify to solve.

$\boxed{4\frac{1}{6}\text{ is your answer.}}$

Hope this helps!

$\text{-TestedHyperr}$

4 0

3 years ago

Your parents gave you $200 to spend on a weeklong school trip. You have budgeted $25 per day for snacks and souvenirs. Write an

Orlov [11]

Answer:

200- 25d

Step-by-step explanation:

d equals number of days on the trip

5 0

3 years ago

Solve for t. You must write your answer in fully simplified form.<br> -7t = 18

Musya8 [376]

Answer: t = -18/7 = 2.57

Step-by-step explanation:

-Solve for t:

$-7t=18$

$\frac{-7t}{-7} = \frac{18}{-7}$

$t=-\frac{18}{7} =2.57$

4 0

4 years ago

A parallelogram is always a rectangle if?

andrew11 [14]

All corners are 90o angles.

8 0

3 years ago