Answer:
x = 3
, y = 5
Step-by-step explanation:
Solve the following system:
{3 y - 7 x = -6 | (equation 1)
3 y - 3 x = 6 | (equation 2)
Subtract 3/7 × (equation 1) from equation 2:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+(12 y)/7 = 60/7 | (equation 2)
Multiply equation 2 by 7/12:
{-(7 x) + 3 y = -6 | (equation 1)
0 x+y = 5 | (equation 2)
Subtract 3 × (equation 2) from equation 1:
{-(7 x)+0 y = -21 | (equation 1)
0 x+y = 5 | (equation 2)
Divide equation 1 by -7:
{x+0 y = 3 | (equation 1)
0 x+y = 5 | (equation 2)
Collect results:
Answer: {x = 3
, y = 5
Answer:- ![\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B2%7D%7B5%7D)
Step-by-step explanation:
The given ration is 16 :40
In fraction, the above ratio can be written as : ![\frac{16}{40}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B40%7D)
To write the above fraction in lowest terms, we need to divide the numerator and the denominator by the greatest common divisor.
Since,
, Hence, 8 is the greatest common divisor of 16 and 40.
Now, divide the numerator and denominator by 8, we get
![\frac{16}{40}=\frac{2}{5}](https://tex.z-dn.net/?f=%5Cfrac%7B16%7D%7B40%7D%3D%5Cfrac%7B2%7D%7B5%7D)
Answer:
![\large\boxed{B.\ f(x)=4^x}](https://tex.z-dn.net/?f=%5Clarge%5Cboxed%7BB.%5C%20f%28x%29%3D4%5Ex%7D)
Step-by-step explanation:
Exponential function
is
increasing if ![a > 1\to a\in(1,\ \infty)](https://tex.z-dn.net/?f=a%20%3E%201%5Cto%20a%5Cin%281%2C%5C%20%5Cinfty%29)
decreasing if ![0 < a < 1\to a\in(0,\ 1)](https://tex.z-dn.net/?f=0%20%3C%20a%20%3C%201%5Cto%20a%5Cin%280%2C%5C%201%29)
![A.\ f(x)=\left(\dfrac{1}{4}\right)^x\to a=\dfrac{1}{4}\in(0,\ 1)\to\text{decreasing}\\\\B.\ f(x)=4^x\to a=4\in(1,\ \infty)\to\text{increasing}\\\\C.\ f(x)=(0.4)^x\to a=0.4\in(0,\ 1)\to\text{decreasing}\\\\D.\ f(x)=\left(\dfrac{1}{2}\right)^x\to a=\dfrac{1}{2}\in(0,\ 1)\to\text{decreasing}](https://tex.z-dn.net/?f=A.%5C%20f%28x%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B4%7D%5Cright%29%5Ex%5Cto%20a%3D%5Cdfrac%7B1%7D%7B4%7D%5Cin%280%2C%5C%201%29%5Cto%5Ctext%7Bdecreasing%7D%5C%5C%5C%5CB.%5C%20f%28x%29%3D4%5Ex%5Cto%20a%3D4%5Cin%281%2C%5C%20%5Cinfty%29%5Cto%5Ctext%7Bincreasing%7D%5C%5C%5C%5CC.%5C%20f%28x%29%3D%280.4%29%5Ex%5Cto%20a%3D0.4%5Cin%280%2C%5C%201%29%5Cto%5Ctext%7Bdecreasing%7D%5C%5C%5C%5CD.%5C%20f%28x%29%3D%5Cleft%28%5Cdfrac%7B1%7D%7B2%7D%5Cright%29%5Ex%5Cto%20a%3D%5Cdfrac%7B1%7D%7B2%7D%5Cin%280%2C%5C%201%29%5Cto%5Ctext%7Bdecreasing%7D)
Answer:
-x with an exponent of 2 + y with an exponent of 2
Step-by-step explanation:
good luck
Answer:
(If they were talking about 3,335, then) 100 times greater
(If they were talking about 3,335 then) 10 times greater
Step-by-step explanation:
When you visualize it, ignore the other numbers and think of only the threes.
Count how many spaces/places they are from each other, and that's how many 0s you should put after a 1 as your answer.
Same as decimal moving and multiplying by 10's.