Answer:
y >5
Step-by-step explanation:
−4y + 6 < −14
Subtract 6 from each side
−4y + 6-6 < −14-6
-4y < -20
Divide by -4. Remember to flip the inequality since we are dividing by a negative
-4y/-4 >-20/-4
y >5
First of all, I like the name "westside" for a bakery. :)
OK, so, you can make a proportion for this problem.
440 lbs.= 1000 cakes.
? unknown = 1 cake.
440 divided by 1000 = 0.44 pounds
Hey there! The sum of (3x - 6) and (5x + 8) is 8x + 2.
Answer:
See below.
Step-by-step explanation:
(a) Because the solution led to a square root of a negative number:
x^2 -10x+40=0
x^2 - 10x = -40 Completing the square:
(x - 5)^2 - 25 = -40
(x - 5)^2 = -15
x = 5 +/-√(-15)
There is no real square root of -15.
(b) A solution was found by introducing the operator i which stands for the square root of -1.
So the solution is
= 5 +/- √(15) i.
These are called complex roots.
(c) Substituting in the original equation:
x^2 - 10 + 40:
((5 + √(-15)i)^2 - 10(5 + √(-15)i) + 40
= 25 + 10√(-15)i - 15 - 50 - 10√(-15)i + 40
= 25 - 15 - 50 + 40
= 0. So this checks out.
Now substitute 5 - √(-15)i
= 25 - 10√(-15)i - 15 - 50 + 10√(-15)i + 40
= 25 - 15 - 50 + 40
= 0. This checks out also.
