Answer:
2x − 9 and x + 6
Step-by-step explanation:
2x² + 3x − 54
Factor using the AC method.
2 × -54 = -108
Factors of -108 that add up to 3 are +12 and -9.
Divide by 2 and reduce: 12/2 = 6/1, -9/2 = -9/2.
Therefore, the factors are x + 6 and 2x − 9.
Statement: If p, then q
Inverse: If q, then p
Converse: If not p, then not q
Contrapositive: If not q, then not p.
We can see from the statement that p = brush teeth twice a day and q = not get cavities.
Thus:
Inverse: If I don't get cavities, then I brush my teeth twice a day. FALSE (for example, I might floss extra well instead. Brushing my teeth twice a day is not the only way to avoid cavities)
Converse: If I don't brush my teeth twice a day, then I get cavities. FALSE (for example, I might not eat a lot of sugar and thus I don't get cavities)
Contrapositive: If I get cavities, then I did not brush my teeth twice a day. TRUE
If this confuses you, try the example of p = cat and q = four legs. (i.e. the statement is If this is a cat, it has four legs). Try making the inverse, converse, and contrapositive, and see the truth of those statements.
Answer:
Option B -
Step-by-step explanation:
Given : Fidel has a rare coin worth $550. Each decade, the coin's value increases by 10%.
To find : Which expression gives the coin's value, 6 decades from now?
Solution :
The given situation represents the exponential function,
where, a is the initial value i.e. a=$550
r is the increased rate r=10%
n is the time i.e. n=6
Substitute the value in the formula,
Therefore, option B is correct.
Answer:
g(x) - f(x) = 3^x - 9 - (5x - 1) = 3^x -5x - 8
Answer:
Step-by-step explanation:
A horizontal line is only concerned with the y value. The equation is y = 10 because that is the point that the line must go through.
The x value does not matter as long as the y value is given as 10. The domain is any real value. The range is 10