Answer:
The equation represented by the ordered pair is;
y = 2^(5-x)
Step-by-step explanation:
Here, we want to write the equation represented by the ordered pairs
From what we have in the question, we can see that while the x-values increase in arithmetic progression of 1
The y-values decrease in order of two geometrically
Thus, the equation is;
y = 2^(5-x)
Answer:
(-2, -3)
(3, 12)
Step-by-step explanation:
To solve this, we're gonna get rid of the y's with substitution
x² + 2x - 3 = 3x + 3
Let's make this equation equal to zero
Subtract 3 from both sides
x² + 2x - 3 = 3x + 3
- 3 - 3
x² + 2x - 6 = 3x
Subtract 3x from both sides
x² + 2x - 6 = 3x
- 3x - 3x
x² - x - 6 = 0
Factor the equation
(x - 3)(x + 2) = 0
This means x can be -2 or 3
Let's solve it with -2 first, plug the new x in y = 3x + 3
y = 3(-2) + 3
y = -6 + 3 = -3
Do the same for x = 3
y = 3(3) + 3
y = 9 + 3 = 12
Answer:
25 inches
Step-by-step explanation:
1. Information that is needed to solve the problem;
The formula for the perimeter is:
2(a+b) = P
where "a" is the length and "b" is the width.
2. Solving the problem;
Substitute the given values into the formula;
2( 5 + b ) = 58
Inverse operations;
2 ( 5 + b ) = 58
/2 /2
5 + b = 29
-5 -5
b = 25
Answer:
4/35 lottery is easier to win.
Step-by-step explanation:
For the 5/48 lottery, the winning probability is 
≈0.1042
For the 4/35 lottery, the winning probability is 
≈ 0.1143
Since > , the lottery where one chooses 4 of the numbers 1 through 35 is easier to win.
Answer:
Step-by-step explanation:
The sum you are trying to understand is this.
Remember that in general when you have a geometric series
you have that
and that equality is true as long as 
.
Therefore here we have
and 
Therefore we can use the formula and
