Answer:

Step-by-step explanation:
1) Plug numbers into slope formula to find
.


2) Simplify to find
.


3) Check work.
This statement is true.
4) Write equation.

Answer:
3¼
Step-by-step explanation:

We take any of the two points shown in the question. I will take (-3, 1) and (1, 14).
x¹ = -3
y¹ = 1
x² = 1
y² = 14
Now, we sub these figures into the formula.

This leaves us with 14-1/1+3, which we can make into 13/4
13/4 = 3¼
<em>Disclaimer</em><em>:</em><em> </em><em>It</em><em> </em><em>is</em><em> </em><em>not</em><em> </em><em>actually</em><em> </em><em>x</em><em> </em><em>(</em><em>or</em><em> </em><em>y</em><em>)</em><em> </em><em>in</em><em> </em><em>the</em><em> </em><em>power</em><em> </em><em>of</em><em> </em><em>two</em><em>,</em><em> </em><em>but</em><em> </em><em>a</em><em> </em><em>way</em><em> </em><em>to</em><em> </em><em>distinguish</em><em> </em><em>one</em><em> </em><em>x</em><em> </em><em>(</em><em>or</em><em> </em><em>y</em><em>)</em><em> </em><em>from</em><em> </em><em>the</em><em> </em><em>other</em><em>.</em><em> </em><em>It</em><em> </em><em>is</em><em> </em><em>a</em><em> </em><em>label</em><em> </em><em>of</em><em> </em><em>sorts</em><em>.</em>
Answer:
Step-by-step explanation:
She has 1 in 11 chances of getting the purple one
One of her choices is gone after she takes out the purple one. She has a 1 in 10 chance of taking out the gray one.
1/11 * 1/10 = 1/110
Answer:
A).Amount = $218250
B). Amount = $88700
Step-by-step explanation:
A) .$5000 in an account at age 23, and withdraw it 42 years
Number of years t= 42 years
Principal P = $5000
Rate r= 9%
Number of times compounded n= 42
A= p(1+r/n)^(nt)
A= 5000(1+0.09/42)^(42*42)
A= 5000(1+0.002143)^(1764)
A= 5000(1.002143)^1764
A= 5000(43.65)
A= 218250
Amount = $218250
B).waits 10 years before making the deposit, so that it stays in the account for only 32 years
Number of years t= 32 years
Principal P = $5000
Rate r= 9%
Number of times compounded n= 32
A= p(1+r/n)^(nt)
A= 5000(1+0.09/32)^(32*32)
A= A= 5000(1+0.0028125)^(1024)
A= 5000(1.0028125)^1024
A= 5000(17.74)
A= 88700
Amount = $88700
Answer:
(2 x +1) ( x + 1) = 2 x² + 3 x + 1
Step-by-step explanation:
The steops used to find the product of (2 x + 1) (x + 1) are
=( 2 x )× x + (2 x) × 1 + x + 1
= 2 x² + 2 x + x + 1
= 2 x² + 3 x + 1