Answer:
x=2
Step-by-step explanation:
3 ln(x) + 2 ln (4)= ln(128)
a ln (b) = ln b^a
In(x^3) + In (4^2)= In(128)
In(x^3) + In (16)= In(128)
ln a + ln b = ln (ab)
In(16x^3) = In(128)
raise each side to the power of e
e^ In(16x^3) = e ^In(128)
e^ ln cancels out
(16x^3) = (128)
divide by 16
(16x^3)/16 = (128)/16
x^3 = 8
take the cube root on each side
(x^3)^1/3 = 8^ 1/3
x =2
First, you take 1/4 out of 20. 1/4 of 20 is 5.
Now, you have 15 oz.
If you pour out 3 for yourself, you then have 12/20 of a bottle left.
This can be simplified to 6/10, then to 3/5.
Hope this helps! :)
Answer: a ≤ 4 or (-∞, 4]
Step-by-step explanation:
Here we have the inequality:
4a ≤ 16
this means that the left sides is less or equal than the right side.
First, find the equal part:
4*a = 16
a = 16/4 = 4
So the maximum possible value of a is 4.
Now, all the values of a smaller than 4 also make the inequality true (even the negative values) so the possible values of a are:
a ≤ 4 or (-∞, 4]
X/7= 3
⇒ x= 3*7
⇒ x= 21
x/7= 20
⇒ x= 20*7
⇒ x= 140
x/7= 21
⇒ x= 21*7
⇒ x= 147
x/7= 22
⇒ x= 22*7
⇒ x= 154
Hope this helps~
-5+7/ 0+ 5 = 2/5x
plug in
Y= 2/5(5) -3
Y = (5,-1) intercept