Step-by-step explanation:
Create an equation such that x equals the decimal number.
Count the number of decimal places, y. Create a second equation multiplying both sides of the first equation by 10y.
Subtract the second equation from the first equation.
Solve for x.
Reduce the fraction.
Answer:
Step-by-step explanation:
y = 3x - 5
y = 1/3x + 3
3x - 5 = 1/3x + 3....multiply everything by 3 to get rid of the fraction
9x - 15 = x + 9
9x - x = 9 + 15
8x = 24
x = 24/8
x = 3
y = 3x - 5
y = 3(3) - 5
y = 9 - 5
y = 4
solution is : x = 3 and y = 4...or (3,4) <==
Answer:....
Step-by-step explanation:
first we need to find the base of the triangle, so the total is 20, they also give us 12, so we subtract 20-12=8 now divide. 8/2=4. Now we use the 4 and the 60. We use SOH-CAH-TOA, they give us the base now we need to find AB which is the hypotenuse. So we take out the TOA, and the 4 is the adjacent so we take out the SOH, we have CAH now, so we use cos. Now equation time....
since x is the bottom we switch
, which equals 8. AB=8.
Now to find the perimeter. We still use the 4 to find the hypotenuse so we can find the outside side. For this one they tell us to use 45, so now lets see what method we use. SOH-CAH-TOA. We need the hypotenuse and they give us the adjacent, so we use cos again. Now setting up the equation...
x is at the bottom again to we switch.
which equals to 5.657 or you can round it. Now we add everything.
20+12+5.657+5.657= 45.314 or you can round it to 45.
Answer:
46,000 yards
Step-by-step explanation:
if in the hundreds place the number is 0-499 round down
if it's 500-999 round up
The required function is:
Option 3: 
Step-by-step explanation:
The initial value and rate is used to write exponential function
Here
Given
Initial value = 37
Rate = r = 5%
When the rate is 5%, the next year the quantity will be 1+0.05 = 1.05 time of the current quantity.
So,
The function can be written as:

For initial value, put t=0

Hence,
The required function is:
Option 3: 
Keywords: Functions, exponential functions
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