Answer:
Option B (1,10)
Step-by-step explanation:
we have
![f(x)=2(5^x)](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5Ex%29)
we know that
If a ordered pair is on the graph of f(x) then the ordered pair must satisfy the function f(x)
<u><em>Verify each case</em></u>
case A) (0,0)
For x=0
![f(x)=2(5^0)\\f(x)=2(1)=2](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5E0%29%5C%5Cf%28x%29%3D2%281%29%3D2)
Compare the value of f(x) with the y-coordinate of the ordered pair
![2\neq 0](https://tex.z-dn.net/?f=2%5Cneq%200)
therefore
The ordered pair is not on the graph of f(x)
case B) (1,10)
For x=1
Compare the value of f(x) with the y-coordinate of the ordered pair
![10=10](https://tex.z-dn.net/?f=10%3D10)
therefore
The ordered pair is on the graph of f(x)
case C) (0,10)
For x=0
![f(x)=2(5^0)\\f(x)=2(1)=2](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5E0%29%5C%5Cf%28x%29%3D2%281%29%3D2)
Compare the value of f(x) with the y-coordinate of the ordered pair
![2\neq 10](https://tex.z-dn.net/?f=2%5Cneq%2010)
therefore
The ordered pair is not on the graph of f(x)
case D) (10,1)
For x=10
![f(x)=2(5^{10})\\f(x)=2(9,765,625)=19,531,250](https://tex.z-dn.net/?f=f%28x%29%3D2%285%5E%7B10%7D%29%5C%5Cf%28x%29%3D2%289%2C765%2C625%29%3D19%2C531%2C250)
Compare the value of f(x) with the y-coordinate of the ordered pair
![19,531,250\neq 1](https://tex.z-dn.net/?f=19%2C531%2C250%5Cneq%201)
therefore
The ordered pair is not on the graph of f(x)
Answer:
x = 8, y = ![8\sqrt{2}](https://tex.z-dn.net/?f=8%5Csqrt%7B2%7D)
Step-by-step explanation:
![a^2+b^2=c^2](https://tex.z-dn.net/?f=a%5E2%2Bb%5E2%3Dc%5E2)
Both 8 and x sides are congruent so they're equal.
Add 64 + 64.
Square root 128
![c^2=8\sqrt{2}](https://tex.z-dn.net/?f=c%5E2%3D8%5Csqrt%7B2%7D)
Final answers: x = 8, y = ![8\sqrt{2}](https://tex.z-dn.net/?f=8%5Csqrt%7B2%7D)
imagine 135/5
which = 27
Emma has 27 of her 5 pence coins
Answer: y = x + 10
Explanation: substitute x by the numbers in the first column and add that by 10 which would be equal to the numbers in the second column (y) for example 1+10= 11
Answer:
the answer is 48.
there is no any answer to hundred
Step-by-step explanation:
we know that,
area of parellelogram=base×height
base=8cm,height=6cm
so, 8×6=48
hope it helps