Answer:
The solution to this question is 39
Step-by-step explanation:
Given that :
√(3x+7)+2√(x-8)=0.
√(3x+7)=-2√(x-8) (i)
square of the equation (i)
Then
(√(3x+7))^2=(-2√(x-8))^2
we know that √a*√a=(√a)^2=a So,
(3x+7)=4(x-8)
3x+7=4x-32 //multiply by 4
32+7=4x-3x exchange the value.
39=1x
x=39.
Answer: it will trave 56.89 meters before coming to rest.
Step-by-step explanation:
This is a geometric progression since the distance travelled (height) by the ball is reducing by a constant ratio, r. Since the number of times that the ball will bounce is infinite, then we would apply the formula for determining the sum of the terms in a geometric progression to infinity which is expressed as
S = a/(1 - r)
where
S = sum of the distance travelled by the ball
a = initial distance or height of the ball
r = common ratio
From the information given,
a = 128/9
r = (32/3)/(128/9) = 0.75
Therefore,
S = (128/9)/(1 - 0.75) = 56.89 meters
A certificate of deposit earns 1% interest every three months. The interest is compounded.
What is the value of a $35,000 investment after 6 years?
$37,153.21
$39,438.88
$44,440.71
$56,295.30
A. 37,153.21
-3p^3 + 5p -2p^2 - 4 - 12p + 5 + 8p^3
5p^3 - 2p^2 - 7p + 1
It is the second choice
Answer:
c
Step-by-step explanation:
an exponential function of the form
y = a
to find a and b use ordered pairs from the table
using (0, 0.5 ) , then
0.5 = a
[ = 1 ] , then
a = 0.5
so y = 0.5
using (1, 2 ) , then
2 = 0.5
= 0.5b ( divide both sides by 0.5 )
4 = b
then exponential function represented by the table is
y = 0.5 
