Answer:
36. The absolute value of |97| is 97. Remember, the absolute value of a number is how far away the number is from zero.
40. I think that says |-23/56| .... if so, I'm pretty sure you can just say 23/56... not too sure though. Because, yes, technically this number is 23/56 away from zero... just not sure if that is the final way you should answer.
44. Answer: Wayne, MI (-0.2)
Explain: Wayne, MI had the least percent change in pop. because it is the closest option to 0, it only decreased 0.2 percent.
48.
|43-4a| + 51
|43-4(6)| + 51
|43-24| + 51
|19| + 51
19 + 51
=70
52.
7.4 + |y-2.6|
7.4 + |3.2-2.6|
7.4 + |0.6|
7.4 + 0.6
=8
56.
|-c| + (2+1/2)
|-5/4| + (2+1/2)
|5/4| + (2+1/2)
|1 1/4| + (2+1/2)
1 1/4 + (2+1/2)
1 1/4 + (2 1/2)
1 1/4 + 2 1/2
1 1/4 + 2 2/4
=3 3/4
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49x^2 - 9 = 0
As there is no x term, we can pretty much guess we have a situation where we factlrise by something known aa difference of two squares, so to factorise it:
49 = 7^2
9 = 3^2
x^2 = (x)^2
so...
(7x - 3)(7x + 3) = 0
7x - 3 = 0 7x + 3 = 0
x = 3/7 x = -3/7
Answer:
Here is the rule: when a and b are not negative
√(ab) = √a × √b
Example: simplify √8
√8 = √(4×2) = √4 × √2 = 2√2
(Because the square root of 4 is 2)
In other words 2 x 4 = 8 = √2 x 4 but 4 can be simplified more (2 x 2) so 2 (previous 4) moves to the left of the square root leaving 2√2
To simplify a square root: make the number inside the square root as small as possible (but still a whole number)
or you can use a simplifying square root calculator.
Answer:
10
Step-by-step explanation:
This means that 12/(2x+1)=8/(x+4). Cross multiply to get 16x + 8 = 12x + 48. Subtract 12x + 8 from both sides to get 4x = 40, so x = 10.
