Answer:a universal set is the set containing all objects or elements and of which all other sets are subsets.
Step-by-step explanation:
Paul's rate before the pay rise = 7.0
The increase = 4/100 * 7.0 = 0.28
Paul's rate after the pay rise = 7.0 + .28 = 7.28
Answer:
1) d ≤ -12
2) x ≥ -25
Step-by-step explanation:
-2.5d ≥ 30
2.5d ≤ -30
d ≤ -12
10 - x ≤ 35
-x ≤ 25
x ≥ -25
The answer would be 42.875
Hello there!
A C method : you multiply the A and C -> find the factors of AC that can add up to B. (a² + bx + c)
15a² + 14a - 8
you multiply 15 and -8 = -120
Find the two factors of -120 that adds up to 14.
We could used 20 and -6.
So we can split the original equation to this:
15a² + 20a - 6a - 8
Now, we use grouping method.
Let's group 15a² + 20a and -6a - 8.
15a² + 20a can be factored like this :
5a(3a + 4)
-6a - 8 can be factored like this :
-2(3a + 4)
So it is 5a(3a + 4) × -2(3a + 4)
We can simplify this into this :
(5a - 2)(3a + 4)
So your final answer is (5a - 2)(3a + 4).
Hope this helped! :)
