Answer:
1/10, 1/4, 2/5, 2/3.
Step-by-step explanation:
Convert the fractions into decimals.
2/5 = 0.4
2/3 ≈ 0.66666
1/4 = 0.25
1/10 = 0.1
Arrange from smallest to largest.
0.1, 0.25, 0.4, 0.6666
Change back to fraction form.
1/10, 1/4, 2/5, 2/3.
by the double angle identity for sine. Move everything to one side and factor out the cosine term.
Now the zero product property tells us that there are two cases where this is true,
In the first equation, cosine becomes zero whenever its argument is an odd integer multiple of
, so
where
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which occurs twice in the interval
for
and
. More generally, if you think of
as a point on the unit circle, this occurs whenever
also completes a full revolution about the origin. This means for any integer
, the general solution in this case would be
and
.
<span>x²-x-30=0
factor this equation first
(x-6)(x+5) = 0
x - 6 = 0
x + 5 = 0
x = 6 , x = -5
</span>
Answer:
How can the solution be located?
find the intersection
Which integers is the x-coordinate between?
0 and 1
Which integers is the y-coordinate between?
2 and 3
What is the solution approximated to the tenths place?
(0.4,2.8)
Step-by-step explanation:
Answer:
see below
Step-by-step explanation:
(3x+1)/2<−x+4
Multiply each side by 2 using the multiplication property of equality
3x+1 < -2x +8
Subtract 1 from each side using the subtraction property of equality
3x < -2x+7
Add 2x to each side using the addition property of equality
5x < 7
Divide each side by 5 using the division property of equality
x < 7/5
