Answer:
Step-by-step explanation:
|4x + 3| = 9 + 2x
We see the absolute value so we have to consider 2 cases:
(1)
4x + 3 = -9 - 2x
6x = -12
x = -2
(2)
4x + 3 = 9 + 2x
2x = 6
x = 3
Let's plug in both results.
|4(-2) + 3| = 9 + 2(-2)
|-5| = 9 - 4
5 = 5
Therefore x = -2 is a solution
|4(3) + 3| = 9 + 2(3)
|15| = 9 + 6
15 = 15
Therefore x = 3 is also a solution.
So subtract 55 from 35
35 - 55 = -20
then, put -20 over 55
-20/55 equals -0.36 repeating, rounded to -0.36, which equals 36%
the negative stands for decrease, so it's around 36% decrease
Answer:
≈ 1833
Step-by-step explanation:
To find ratio of proton mass to electron mass, we have to divide.
The numbers are given in <em>scientific notation</em>.
Let a number be
and another be
, when we divide, we will follow the rule shown below:

Now, we use the information given to find the ratio:

This means we can find the number by taking 4 decimal places to the right, so that would becomes:

The approximate ratio is 1833 [mass of proton is around 1833 times heavier than mass of electron]
Answer:
The function of height has a maximum value.
Step-by-step explanation:
Maximum or Minimum:
A given function f(x).
- Find out f'(x) and f''(x)
- Then set f'(x)=0 which gives x=a.
- f''(a) > 0 , then at x=a , f(x) has minimum value.
- If f''(a)<0 , then at x=a, f(x) has maximum value.
Given that, a baseball is thrown with with an velocity of 32 feet per second.
The equation of height is

Differentiating with respect to t

Again differentiating with respect to t

Next, we set h'=0



Now 
Since at t=1, h''<0.
The function of height has a maximum value.
The maximum of h is = -16.(1)²+32
= -16+32
=16 feet