Step-by-step explanation:
b^2-4b+3=0
b²-3x-b+3=0
b(b-3)-1(b-3)=0
(b-3)(b-1)=0
either
b=3 or b=1
.
2n^2 + 7 = -4n + 5
2n²+4n+7-5=0
2n²+4n+2=0
2(n²+2n+1)=0
(n+1)²=0/2
:.n=-1
.
x - 3x^2 = 5+ 2x - x^2
0=5+ 2x - x^2-x +3x^2
0=5+x+2x²
2x²+x+5=0
comparing above equation with ax²+bx +c we get
a=2
b=1
c=5
x={-b±√(b²-4ac)}/2a ={-1±√(1²-4×2×5)}/2×1
={-1±√-39}/2
They are all used to measure.
there are 9∗9∗8 three digit numbers where all digits are different so 1000−9∗9∗8 which have at least two digits that are the same and then there are 9 numbers which have exactly three same digits so the number of three digit numbers where exactly two digits are the same is 1000−9∗9∗8−9=343.Answer:
Step-by-step explanation:
Hey there! Your answer is right here!
42 ÷ 2 = 21 ÷ 2 = 10.5
Thanks for asking this question. I'm glad I can help!
Answer:
See attachment and explanation
Step-by-step explanation:
Assuming f(x) and its g(x) are the graphs shown in the attachment.
Then we have the base function to be
![f(x) = {10}^{x}](https://tex.z-dn.net/?f=f%28x%29%20%3D%20%7B10%7D%5E%7Bx%7D%20)
We can see from the graph that, f(x) has been shifted up 3 units to obtain g(x).
Hence the equation of g(x) is
![g(x) = {10}^{x} + 3](https://tex.z-dn.net/?f=g%28x%29%20%3D%20%7B10%7D%5E%7Bx%7D%20%20%2B%203)