Answer:
1/5 or 0.2 i hope this helped you
Answer:
The measure of segment AC is 36 units
Step-by-step explanation:
- The mid-point divides the segment into two equal parts in length
- B is the mid point of segment AC
- That means B divides segment AC into two equal parts in length
∴ AB = BC
∵ AC = 5x - 9
∵ AB = 2x
- The two parts AB and BC are equal in length
∴ BC = 2x
∵ AC = AB + BC
- Substitute the values of AB and BC in the expression of AC
∴ AC = 2x + 2x
∴ AC = 4x
∵ AC = 5x - 9
- Equate the two values of AC
∴ 5x - 9 = 4x
- Add 9 to both sides
∴ 5x = 4x + 9
- Subtract 4x from both sides
∴ x = 9
- Substitute the value of x in any expression of AC
∵ AC = 4x
∵ x = 9
∴ AC = 4(9) = 36
* The measure of segment AC is 36 units
Teo fifty 250 easy divide
Answer:
$30, $75, $45
Step-by-step explanation:
We can set up an equation, where x is an unknown value:
2x+5x+3x=150
10x = 150
x=15
Now that we know what x is, we can plug x in to solve for 2x, 5x, and 3x:
2x=2*15=30
5x=5*15=75
3x=3*15=45
Therefore, the answer is $30, $75, $45
Answer:
![3.296x+3](https://tex.z-dn.net/?f=3.296x%2B3)
2.835
3.330
Step-by-step explanation:
![g(x) = 3^{1+x}](https://tex.z-dn.net/?f=g%28x%29%20%3D%203%5E%7B1%2Bx%7D)
Let the linear approximation be L(x) at a = 0. This is given by
![L(x) = g(a) + g'(a)(x-a)](https://tex.z-dn.net/?f=L%28x%29%20%3D%20g%28a%29%20%2B%20g%27%28a%29%28x-a%29)
is the derivative of
. To find this, we use the form
If
, then ![f'(x) =a^x\ln a](https://tex.z-dn.net/?f=f%27%28x%29%20%3Da%5Ex%5Cln%20a)
By doing this and applying chain rule for the power (which is a function of x), we have
![g'(x) = 3^{1+x}\ln 3](https://tex.z-dn.net/?f=g%27%28x%29%20%3D%203%5E%7B1%2Bx%7D%5Cln%203)
Then
![g'(0) = 3^{1+0}\ln 3 = 3.296](https://tex.z-dn.net/?f=g%27%280%29%20%3D%203%5E%7B1%2B0%7D%5Cln%203%20%3D%203.296)
Also ![g(0) = 3^{1+0} = 3](https://tex.z-dn.net/?f=g%280%29%20%3D%203%5E%7B1%2B0%7D%20%3D%203)
Hence ![L(x) = 3+(x-0)\times3.296 = 3.296x + 3](https://tex.z-dn.net/?f=L%28x%29%20%3D%203%2B%28x-0%29%5Ctimes3.296%20%3D%203.296x%20%2B%203)
For
,
and ![x=-0.05](https://tex.z-dn.net/?f=x%3D-0.05)
Using this in
,
![3^{0.95} = 3.296(-0.05) + 3 = 2.835](https://tex.z-dn.net/?f=3%5E%7B0.95%7D%20%3D%203.296%28-0.05%29%20%2B%203%20%3D%202.835)
For
,
and ![x=0.1](https://tex.z-dn.net/?f=x%3D0.1)
Using this in
,
![3^{1.1} = 3.296(0.1) + 3 = 3.330](https://tex.z-dn.net/?f=3%5E%7B1.1%7D%20%3D%203.296%280.1%29%20%2B%203%20%3D%203.330)