The question is, "<span>What number is a solution of the inequality y > 1.9?"
The answer can vary, one of them being 2.
Possible Answers: 2,3,4,5,6,7,8,9,10</span>
Answer:
x=0 x=2
Step-by-step explanation:
X² - 2x=0
Factor
x(x-2) = 0
Using the zero product property
x=0 x-2 =0
x=0 x=2
Y=-sqrt(x)+1
x must be greater than or equal to zero (positive): x>=0
Options Graphs 1 and 2
when x=0→y=-sqrt(0)+1=-0+1→y=1, then the graph must pass through the point (0,1)
Answer: Graph 2
Answer:
8.4 (rounded to 1 dp)
Step-by-step explanation:
1) Identify the number of angles and sides given if you cannot use Pythagoras or SohCahToa.
2) You have 2 angles and 1 side, so you know you must use sine rule: <em>a </em>over sinA =<em> b </em>over sinB
<em>a</em> = side length, sin(A) = angle opposite side
<em>b</em> = side length, sin(B) = angle opposite side
3) This means:
13/sin(90) = x/sin(40)
4) rearrange for x:
x = 13/sin(90) * sin(40)
= 8.356...
5) Round to however many sig figs/dps they're asking for
Example: 1 dp
AB = 8.4
3 sig figs
AB = 8.36
Answer:
Suppose that you have 50 people that like hip hop and 50 people that like country.
Now, the union of those sets would be 50 + 50 = 100 people, right?
Well, this may be incorrect, because in the 50 people that like hip hop, we may have, for example, 10, that also like country (this means that in the 50 people that like country, we also have 10 that like hip hop).
Then when we are adding 50 + 50 we are counting those 10 people in both groups, and that is why the direct addition may be different than the union of both sets.
In more technical words, the union of two sets is equal to the addition of the elements of both sets minus the elements in the intersection of both sets (in our prior example, the 10 people that like hip hop and country music are the intersection of both sets)
