Two angles that are supplements add up to 180°.
"The angle" is five times its supplement.
If I call the supplement 'S', then 'the angle' = 5S .
S + 5S = 180°
Combine like terms: 6S = 180°
Divide each side by 6 : S = 30°
The supplement of 'the angle' = 30°.
That's one of the choices.
"The angle" = 5S = 150°.
That's NOT one of the choices.
Answer:
36
Step-by-step explanation:
Given that:
2 standard six sided dice are rolled :
Die 1 = 1, 2, 3, 4, 5, 6
Die 2 = 1, 2, 3, 4, 5, 6
Outcome = ordered pair of Number on the two dice
Event = different sum of the ordered pair of numbers.
The number of outcomes in the experiment = the sample space =) number of Faces)^number of dies
= 6^2
= 36 different outcomes
Answer:
- Fernando’s response is incorrect because he inappropriately applied the Rational Root Theorem.
- Dennis’ response is incorrect. According to the Fundamental Theorem of Algebra, the polynomial p(x) cannot have six roots, or zeros, because it is only of degree 3.
- Emily’s response is correct because she correctly factored the polynomial, and correctly used the definition of zeros to reach her answer.
Step-by-step explanation:
The Rational Root Theorem offers a list of possible rational roots. Each needs to be tested to see if it is an actual rational root. Fernando and Dennis made inappropriate assumptions about what the Rational Root Theorem allowed them to conclude.
Answer:
The intersection is 
.
The Problem:
What is the intersection point of 
and 
?
Step-by-step explanation:
To find the intersection of and , we will need to find when they have a common point; when their 
and 
are the same.
Let's start with setting the 's equal to find those 's for which the 's are the same.
By power rule:
Since 
implies 
:
Squaring both sides to get rid of the fraction exponent:
This is a quadratic equation.
Subtract 
on both sides:
Comparing this to 
we see the following:
Let's plug them into the quadratic formula:
So we have the solutions to the quadratic equation are:
or 
.
The second solution definitely gives at least one of the logarithm equation problems.
Example: 
has problems when 
and so the second solution is a problem.
So the where the equations intersect is at .
Let's find the -coordinate.
You may use either equation.
I choose .
The intersection is .
<h3>Hello!</h3>
Negative numbers are always less than positive ones.
Do you remember the symbol for "less than"? That's right, "<" :)
Hence,
-6<3
Because
-6 is negative (the - sign tells us that)
3 is positive
<h3>Notes:</h3>
- Hope everything is clear.
- Let me know if you have any questions!
<h3>Answered by:</h3>
~DiamondS~
