Answer:
9feet
Step-by-step explanation:
Given the path of the toy modeled by the function f(x)=−x^2+4x+5, where x is the number of feet the toy is from Emmy and f(x) is the height of the toy.
AT maximum height, the velocity of the toy will be zero. Hence;
df(x)/dx = 0
-2x + 4 = 0
-2x = -4
x = -4/-2
x = 2
Get the maximum height;
Substitute x = 2 into the given function;
f(x)=−x^2+4x+5
f(2)=−2^2+4(2)+5
f(2) = -4+8+5
f(2) = 9feet
Hence the maximum height of the toy is 9feet
Step-by-step explanation:
The nth term of a geometric progression can be determined by using the formula:
Tn=arn−1
where: a = first term and r = common ratio
Substitute the given values of first term and common ratio into the formula:
Tn=arn−1
T5=(40)(0.5)5−1
T5=(40)(0.5)4
T5=(40)(0.0625)
T5=2.5
Answer && Step-by-step explanation:
7 yards == 4/4
by simple arithmetic remove 3/4 from 7 until you can no longer obtain 3/4 from it
7 => 6*1/4
6*1/4=>5*2/4
5*2/4=>4*3/4
4*3/4=>4
4=> 3*1/4
3*1/4=>2*2/4
2*2/4=>1*3/4
1*3/4=>1
1=>1/4
1/4 remains and 9 bows were made
$45>(or equal to)$12.99n you can spend less then or equal to forty five dollars without going into debt.
Answer:
Subtract 26 from both sides 3x+26=2x+18 3x+26-26 = 2x + 18 -26