Answer:
m = j + 10
m + 3 = 3x
Step-by-step explanation:
Answer:
Step-by-step explanation:
3in/4 = 0.75in(Diameter) for each circle
r = 0.375
A = πr^2
A(for 1 circle) = 0.141π
A(for 1/4 circle) = 0.035π
A x 4 because we have 4 circles =
0.141π
0.141π(area of middle) + 0.141π(area of circle) =
0.282π or 0.886in^2
Answer:
<em>9*364 - 9*125 - 9*39 = 1,800</em>
Step-by-step explanation:
<em>Mental Calculation</em>
If we detect known patterns in the calculations, we could easily give their results without the use of calculators.
We are given the expression to evaluate:
9*364 - 9*125 - 9*39
The first thing to note is the 9 is a common factor of all terms, thus we take it out:
9*(364 - 125 - 39)
The negative numbers can be easily added
125
+ 39
------------
164
Now our expression is much easier:
9*(364 - 164)
The subtraction of 364-164 is 200, thus the result of the operations is:
9*200. We only need to recall 9*2=18 and add two zeros to get 1,800, thus:
9*364 - 9*125 - 9*39 = 1,800
Answer:
f(x) = ![\sqrt[3]{x + 6}](https://tex.z-dn.net/?f=%5Csqrt%5B3%5D%7Bx%20%2B%206%7D)
+ 1
Step-by-step explanation:
Whenever addition or subtraction occurs within the cube root, it moves horizontally; the opposite is done for the translation, thus if it is addition, which in this case it is, instead of moving the positive direction, the function moves the negative direction.
As opposed to addition or subtraction outside of the cube root, it moves vertically, and in this case, it is translated exactly as stated. Here it states addition, thus the graph moves up in one unit.
The origin of the parent function is at ( 0, 0), in contrast, the origin of the function is at ( -6, 1 )
By using what we know, we can determine that the answer will be f(x) = + 1 since we know that the inside of the cube root should be the opposite of the x value and the outside of the cube root should be the same.
(9x+5) - (6x-8) = 9x+5 - 6x+8 = (9x-6x) + (5+8) = 3x+13
___
(4x+10) - (-3x+5) = 4x+10 + 3x-5 = (4x+3x) + (10-5) = 7x+5
