Answer:
D. 16
Step-by-step explanation:
If there are 30 bones in the arms and legs and 14 facial bones you take
30 - 14 = 16.
Answer:
Step-by-step explanation:
REF: 060309a
ANS:
(9,−2)
(x,y)-->(x+5,y-4)
Answer:
Mekenzie travels at a faster rate.
Step-by-step explanation:
Given that Mekenzie skateboards at a rate of 3 ½ miles every ⅓ hour, and Josh skateboards at a rate of 2 ⅔ every 4 hours:
It is important to have the same unit of measure in these types of word problems. We must convert Josh's travel rate to match Mekenzie's travel rate.
<h3>Mekenzie:
</h3>
"Every ⅓ hour" means 20 minutes because 1 hour = 60 minutes. Hence, ⅓ of 60 minutes = 20 minutes.
3 ½ miles every ⅓ hour = 3.5 miles for every 20 minutes.
<h3>Josh: </h3>
2 ⅔ every 4 hours:
2 ⅔ or 2.666667 = 8/3 miles
8/3 miles every 4 hours = 8/3 ÷ 4 hours = 0.1667 miles for every 1 hour
0.1667 miles for every 1 hour = 0.1667 ÷ ⅓ hour = 0.556 miles every ⅓ hour.
0.556 miles every ⅓ hour = 0.556 miles for every 20 minutes.
Therefore, Mekenzie travels faster than Josh.
Subtraction of a number from x represents a shift towards right. So this means g(x) has been shifted 4 units to right. Addition of a number to the function value represents a vertical shift. So g(x) has been shifted 3 units up to get f(x).
So, we can write f(x) as:
f(x) = g(x - 4) + 3
So, translate g(x) 4 units to right and 3 units up to get f(x).
Thus, option C is the correct answer
I must assume that by "15x2 - 44x - 36" you actually meant "<span>15x^2 - 44x - 36." Use " ^ " to denote exponentiation, please.
One by one, take each of the following sets of possible factors and mult. them out to determine whether the result equals </span>15x^2 - 44x - 36:
<span>
(5x - 9)(3x + 4)
(3x - 4)(5x + 9)
(5x - 18)(3x + 2)
(5x + 18)(3x - 2)
First one: use the "foil" method: (5x)(3x) + 20x - 27x - 36. This does not simplify to </span>15x^2 - 44x - 36 and so is not the correct choice. Go on to the second answer choice and continue this check.