4*3^-1 → 4/3
6*3^-2 → 6/9 → 2/3
Hence:
2 - 4*3^-1 - 6*3^-2 → 2 - 4/3 - 2/3 → 2 - 6/3 → 2 - 2 → 0
.
Let f(x) = 6x − 5, if x ≤ −5
f(x) = −x^2, if x > −5 .
Find f(−3), f(−5), and f(−6).
f(-3): -3 > -5 so f(-3) = -(-3)^2 or f(-3) = -9
f(-5): -5 = -5 so f(-5) - 6*(-5) - 5 or f(-5) = -35
f(-6): Now you try this one.
You make sense until this line: y= 49/20 - 49/70
This doesn't follow from: y= 5 (7/10)^2 - 7 (7/10)
You should have: y = 49/20 - 49/10 instead
I'll leave you to take it from there.
And it isn't a peak, it's a trough:
No, (-3)^2 is +9
-3^2 is -(3^2) → -9
There is also the solution: x = -0.7
Simply multiply the price by the ratio of the masses:
price of 380gram jar = $6.99*380/455
If you mean (√3 + √2)^2 then this is 3 + 2√3√2 + 2 → 5 + 2√6
Example: Suppose x = 0.0909090909...... etc
Then 100x = 9.0909090909..... etc.
Subtract x from 100x to get 99x = 9
Divide by 99 and simplify: x = 9/99 or x = 1/11
x is therefore the ratio of two whole numbers (1 and 11) and is, by definition, rational.
Subtract 3g from both sides:
-1 = 4g + 1
Subtract 1 from both sides
-2 = 4g
Divide both sides by 4
-1/2 = g
The circumference of the wheel is pi*40 inches, so the truck travels 395*pi*40 inches per minute.
This is 395*pi*40*60 inches per hour
This is 395*pi*40*60/(36*1760) miles per hour ≈ 47 miles per hour