Answer:
if you're simplifying, it should be = -1b - 6
Step-by-step explanation:
1. 4(1-2b) + 7b -10 solve the parenthesis
2. 4 <u>- 8b</u> <u>+ </u><u>7b</u> - 10 combine like(same) terms
3. <u>4</u> - 1b <u>- 10</u> same as 2.
4. -1b - 6
Answer:
27.5 minutes
Step-by-step explanation:
Using,
R/R' = 2ᵃ/ᵇ------------------ Equation 1
From the equation,
R = mass of Element X before radioactive decay, R' = mass of element X after radioactive decay, a = Time taken, b = half life.
Given: R = 870 grams, R' = 154 grams, b = 11 minutes.
Substitute these values into equation 1
870/154 = 2ᵃ/¹¹
(870/154)¹¹ = 2ᵃ
Solve for a
2ᵃ = (5.649)¹¹
2ᵃ = 187061.26
Taking the logarithm of both side,
Log2ᵃ = Log(187061.26)
⇒ a = log(187061.26)/log2
a = 8.272/0.301
a = 27.5 minutes
Answer:
1) as-16a
taknig a as common
=a(s-16)
2)as-4a³
taking a as common
=a(s-4a²)
3)2a³+8a-4a²-16
taking common terms
=2a(a²+4)-4(a²+4)
=(2a-4)(a²+4)
again taking common
=2(a-2)(a²+4)
i hope this will help you :)
Answer:
y < 0.25x + 4
Step-by-step explanation:
The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.
We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.
Solving for the line:
Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using 
results in 
or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.
Now all we do is replace the = with the < and we have our answer:
y < 0.25x + 4
