4^x-3^(x-1/2)=3^(x+1/2)-2^(2x-1)
4^x - 3^x * 3^-1/2 = 3^x * 3^1/2 - 2^2x * 2^-1
2^2x + 2^2x * 1/2 = 3^x * 3^1/2 + 3^x * 3^-1/2
2^2x(1 + 1/2) = 3*x( 3^1/2 + 3^-1/2)
3/2 * 2^2x = 2.3094 * 3^x
ln 1.5 + 2x ln 2 = ln 2.3094 + x ln 3
2x ln 2 - x ln3 = ln 2,3094 - ln 1.5
1.3863 x - 1.0986 x = 0.4315
0.2877x = 0.4315
x = 1.5 Answer
Answer:
The x-intercept is at (2,0).
Step-by-step explanation:
The x-intercept(s) can be found by setting y to 0 and solving for x.
Your equation is:
4x+2y=8.
To find x-intercept replace y with 0:
4x+2(0)=8
4x =8
Divide both sides by 4:
x =2
The x-intercept is at (2,0).
Answer:
4/23
Step-by-step explanation:
Probability of choosing a red marble = # of red marbles / total # of marbles
We are told that there are 4 red marbles and 19 blue marbles
So the # of red marbles = 4
And the total # of marbles = 4 + 19
4 + 19 = 23
So there are a total of 23 marbles
Recall that probability of choosing a red marble is equal to # of red marbles / total # of marbles
Hence, the probability of choosing a red marble is 4/23
Note: 4/23 is already in it's simplest form so no simplifying has to be done.
Step-by-step explanation:
D(t)=-16t²+32t+88
a] Maximum height
At maximum height d'(t)=0
from d(t);
d'(t)=-32t+32=0
thus
t=1
hence the maximum height will be:
d(t)=-16t²+32t+88
d(1)=-16(1)^2+32(1)+88
d(1)=104 ft
2] <span> how many seconds does it take to reach the ground after first being thrown upward?
Here we solve for t intercept
</span>when d(t)=0
<span>thus</span>
0=-16t²+32t+88
<span>solving for t, we get:
t=1-</span>√13/2
or
<span>t=1+</span>√13/2
<span>
t=-1.55 or t=3.55 sec
Thus the answer is t=3.55 sec
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