Step-by-step explanation:
Inverse of
y
=
x
+
3
x
−
2
is
y
=
2
x
+
3
x
−
1
Explanation:
As
y
=
x
+
3
x
−
2
x
y
−
2
y
=
x
+
3
or
x
y
−
x
=
2
y
+
3
or
x
(
y
−
1
)
=
2
y
+
3
or
x
=
2
y
+
3
y
−
1
Hence inverse of
y
=
x
+
3
x
−
2
is
y
=
2
x
+
3
x
−
1
Observe that each of the function is a reflection of the other in the line
x
=
y
.
graph{(y-(x+3)/(x-2))(y-(2x+3)/(x-1))(x-y)=0 [-10, 10, -5, 5]}
Answer:
The answer is <u>g = 0.5</u>
Step-by-step explanation:
1. Your equation is :
<em>9+3.5g=11-0.5g</em>
2. First, multiply both sides by ten
<em>9 * 10 + 3.5 * 10 = 11 * 10 - 0.5 * 10</em>
3. Next we refine the equation
<em>90 + 35g = 110 - 5g</em>
4. Now, lets subtract 90 from both sides
<em>90 + 35g - 90 = 110 - 5g - 90</em>
5. Simplify
<em>35g + 5g = -5g + 20 + 5g</em>
6. We then add 5g to both sides
<em>35g + 5g = -5g + 20 + 5g</em>
7. Simplify again
<em>40g = 20</em>
8. Now, divide both sides by 40
<em>40g/40 = 20/40</em>
9. And finally, simplify once again to get your final answer.
<em>g = 1/2 or 0.5</em>
I hope this helped :)
After the first three days, the sample size will be half of the initial; therefore, 400g/2= 200g. However, it is asking how long will it take to decay to 100g, so we will take 200g/2= 100g, which will take another three days. It will take 2 half-lives, which will encompass 6 days.
Answer:
x=8, y=25. As a point it's (8,25)
Step-by-step explanation:
here is the system:
y=x+17
y=3x+1
notice how both of the equations equal y. Therefore, we can substitute one expression as y in the other expression. (It'll equal y=y, which is a true statement)
so it'll be:
3x+1=x+17
subtract 1 from both sides
3x=x+16
subtract x from both sides
2x=16
divide by 2
x=8
now, substitute 8 as x into one of the equations and solve for y
let's take the first one for example
y=8+17
y=25
so the answer is x=8, y=25. As a point it's (8,25)
Hope this helps!
Yo sup??
we can solve this question by applying trigonometric ratios
cos59=CB/CD
CD=CB/cos59
=7.8
Hope this helps.