Answer:
A. m^2+7m+10=0
Step-by-step explanation:
This is a problem in pattern matching, and in substituting a variable for a pattern.
(x^2+3)^2 +7x^2 +21 = -10 . . . . . . given
(x^2 +3)^2 +7(x^2 +3) = -10 . . . . . factor the last two terms
m^2 +7m = -10 . . . . . . . . . . . . subsitute m for x^2 +3
m^2 +7m +10 = 0 . . . . . . . . add 10 to both sides; matches A
Answer:
A. 2 1/4 + 3 2/5
B. 113/20
Step-by-step explanation: For A: All you had to do was multiply -1(-3 2/5) and that was going to make your answer positive because the negatives were going to cancel each other out.
For B: First you had to make your fractions improper fractions instead of mixed numbers. And that would make it 9/4 + 17/5. Next, since they don't have the same denominator, you would have had to find the least common multiple of 5 and 4 which is 20. So then how ever many times your denominator went in to 20, that's what you'll multiply your numerator by. 45/20 + 68/20= 113/20
Answer:
f(x) > -x + 2
Step-by-step explanation:
First I found the equation of the line.
The y intercept is at 2 so I know to add 2 at the end
The slope is -1 since it is going downwards
Since the top side is shaded, that represents greater than, if it was shaded downwards, it would be less than
Putting all that together, the equation is f(x) > -x + 2
Answer:
Yes
Step-by-step explanation:
Let's take any random multiple of 4 as an example:
8 = 2 • 4
64 = 2 • 32
20 = 2 • 10
Try any multiple of 4—this pattern continues.
