Let's solve this equation by step by step.
Layout equation.
−10+2x+3(5−x)=2(x−2)
Step 1: Simplify both sides of the equation.
−10+2x+3(5−x)=2(x−2)
−10+2x+(3)(5)+(3)(−x)=(2)(x)+(2)(−2)(Distribute)
−10+2x+15+−3x=2x+−4
(2x+−3x)+(−10+15)=2x−4(Combine Like Terms)
−x+5=2x−4
−x+5=2x−4
Step 2: Subtract 2x from both sides.
−x+5−2x=2x−4−2x
−3x+5=−4
Step 3: Subtract 5 from both sides.
−3x+5−5=−4−5
−3x=−9
Step 4: Divide both sides by -3.
-3x/-3=-9/-3
So the answer is x=3.
The answer is " 1320000000 ft " away
Answer:
![g(x)=3^{3x}+2](https://tex.z-dn.net/?f=g%28x%29%3D3%5E%7B3x%7D%2B2)
The transformation that occurs from
is compression by 3 units horizontally and shift of 4 units upwards.
Step-by-step explanation:
Given
![f(x)=3^x-2](https://tex.z-dn.net/?f=f%28x%29%3D3%5Ex-2)
Translation Rules:
![f(x)\rightarrow f(cx)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28cx%29)
If
the function is compressed
units horizontally.
If
and
the function stretches
units horizontally.
![f(x)\rightarrow f(x)+c](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%28x%29%2Bc)
If
the function shifts
units to the up.
If
the function shifts
units to the down.
Applying the rules to ![f(x)](https://tex.z-dn.net/?f=f%28x%29)
Step 1
![f(x)\rightarrow f(3x)](https://tex.z-dn.net/?f=f%28x%29%5Crightarrow%20f%283x%29)
![f(3x)=3^{3x}-2](https://tex.z-dn.net/?f=f%283x%29%3D3%5E%7B3x%7D-2)
[compressed
units horizontally]
Step 2
![f(3x)\rightarrow f(3x)+4=g(x)](https://tex.z-dn.net/?f=f%283x%29%5Crightarrow%20f%283x%29%2B4%3Dg%28x%29)
![f(3x)+4=3^{3x}-2+4](https://tex.z-dn.net/?f=f%283x%29%2B4%3D3%5E%7B3x%7D-2%2B4)
∴ ![g(x)=3^{3x}+2](https://tex.z-dn.net/?f=g%28x%29%3D3%5E%7B3x%7D%2B2)
[shifts 4 nits up]
∴ The transformation that occurs from
is compression by 3 units horizontally and shift of 4 units upwards.
Answer:
0.00005
Step-by-step explanation:
The probability of the stock going up and that of winning in the lottery are independent.
Hence, the probability of both = P(stock going up) × P(winning in the lottery) = 0.5 × 0.0001 = 0.00005
Answer:
w = 8 so l = 36
Step-by-step explanation:
l = 5w - 4, so P = 88, then 2l + 2w = 88, so 2(5w - 4) + 2w = 88
10w - 8 + 2w = 88, so 12w = 96, so w = 8