Answer: Explanation and answer is attached.
Step-by-step explanation:
-2x + 3 > 3(2x - 1)
the inequality sign > means 'greater than'.
First simplify the right side of the equation by distributing the 3 over the parentheses:-
-2x + 3 > 6x - 3
Now add -6x to both sides of the inequality which gives us
-8x + 3 > -3
Adding -3 to both sides we have
-8x > -6
The next step is to divide both sides by -8 so x is isolated on the left side and this gives us the solution. However there is a rule with inequalities that if you divide the variable term by a negative the inequality is flipped. So in this case , greater that (>) becomes less than (<):-
-8x / -8 < -6/-8
x < 3/4 is your answer.
Answer:
A. $301
B. $721
Step-by-step explanation:
Let $x be the amount of money they raised.
Rowena tried to put the $1 bills into two equal piles and found one left over at the end, then

Polly tried to put the $1 bills into three equal piles and found one left over at the end, then

Frustrated, they tried 4, 5, and 6 equal piles and each time had $1 left over, then

Finally Rowena put all the bills evenly into 7 equal piles, and none were left over, then

This means
is divisible by 2, 3, 4, 5 and 6 without remainder, so

Hence,

The smallest amount of money they could have raised is $301, because
is divisible by 7.
Now, the number
should be divisible by 7 and must be greater than 500.
So,

When n = 9,
is not divisible by 7.
When n = 10,
is not divisible by 7.
When n = 11,
is not divisible by 7.
When n = 12,
is divisible by 7.
B. The least amount of money they could have raised is $721
Step-by-step explanation:
Tracie’s bus travels towards her home at an average speed of StartFraction one-half EndFraction mile per minute.
-2y^2 + 6y + 2 = 0
a = -2, b = 6, c = 2
x = (- b + - sqrt(b^2-4ac))/(2a)
x=(-6+-sqrt(36-4*-2*2))/-4
x=(-6+-sqrt(36+16))/-4
x=(-6+-sqrt(52))/-4
x = (-6 +- 2sqrt13)/-4
x = (3 + - sqrt13)/2