1) x < 4 the answer is <span> Option C: x E(-infinity,4) (it is strict)
2) </span>2x +6 < 8, and <span>2x < 8 - 6 = 2, and x<2/2=1
the answer is </span>
<span>D. x E (-infinity, 1)
</span>3) <span>X greater than or equal to 8 and x < - 4
</span>X greater than 8 means x ≥ 8
so we have x ≥ 8 and <span> x < - 4
so the answer is </span>
<span>B. x E (-4,8]
</span> 4)
7 > x + 6 or x -2 greater than or equal to 3,
<span>7 > x + 6 or x -2 ≥ 3
</span>
<span>7 -6> x, and 1>x
</span>
x -2 ≥ 3 x<span>≥ 3+2=5
finally
</span>x<1 and x≥5
the answer is
<span>C.x E (1,5]
5)
</span>
|x+3| > 12,
|x+3| = { -(x+3) if <span>x+3<0 or </span><span>(x+3) if </span><span>x+3>0}</span>
so, it is -(x+3)>12 is equivalent to (x+3)< -12 or (x+3)>12
the answer is
<span>B. x + 3 > 12 or x + 3 <-12</span>
Answer:
4.25
Step-by-step explanation:
17/4
= 4.25
I hope it helps! Have a great day!
Muffin ^^
(12z^2 + 25z + 12)/(3z^2 - 2z - 8)
You have to factor it. You know how to factor it right?
(12z^2 + 16z + 9z + 12)/(3z^2 - 6z + 4z - 8)
(4z(3z + 4) + 3(3z + 4))/(3z(z - 2) + 4(z - 2))
((4z + 3)(3z + 4))/((3z + 4)(z - 2))
(4z + 3)/(z - 2)
Answer:
3.81 inches
Step-by-step explanation:
πr² + 100 = π(r+3)²
divide by π and simplify:
r² + (100/π) = r² + 6r + 9
100/π = r² + 6r + 9
31.8309886184 - 9 = r² +6r
r² = 6r - 22.8309886184
0 = 6r - 22.8309886184
22.8309886184 = 6r
divide by 6:
3.80516476973 ≈ 3.81 inches
Answer: For y=-3sin (x), it's B
For y=3sin (x), it's also B
For y=-3sin (x)-2 it's C
Step-by-step explanation:
