X² + 4x = 96
Subtract 96 from both sides to get the equation equal to zero:
x² + 4x - 96 = 0
We can solve for x either by factoring or by using the Quadratic Formula. Let's attempt to factor first. To factor, find two numbers whose sum is 4 and whose product is -96. Since 96 is negative, the pair will be one positive and one negative (a positive times a negative is always negative). Let's start listing addends of 4 and calculating their product.
12 + (-8) = 4; 12 × (-8) = -96
The pair is 12 and -8. The factored polynomial is (x + 12)(x - 8). To find x, find the zeros.
x + 12 = 0
x = -12
x - 8 = 0
x = 8
Answer:
x = -12 and x = 8
Answer:
x < 2 2/3
Step-by-step explanation:
-3x+6>-2
-6 -6
-3x>-8
divide by -3 on both sides
when dividing by a negative, switch sign (from > to <)
x < 2 2/3
Answer: 11 1/2 ÷ 2 1/4 is not equal to 6, it is an overestimate.
Step-by-step explanation:
11 1/2 ÷ 2 1/4 = 6
First step: convert the improper fraction to a proper fraction
11 1/2= 23/2
2 1/4= 9/2
The question can be written as:
23/2 ÷ 9/2
=23/2 × 2/9 ( 2 cancels out 2)
= 23/9
=2.56
Therefore, 11 1/2 ÷ 2 1/4 is not equal to 6, it is an over estimate.
I hope this helps.
Jason is buying 2 hats and 3 scarves for each of his 4 children
so he is actually buying 8 hats and 12 scarves.
a hat costs 8.50 and a scarf costs 5.50
so you put it into a equation
8.50(h)+5.50(s) = P h = hat, s = scarf, P = pay
8.50(8)+5.50(12) = P
68 + 66 = P
P = 134
hope this helps
The cake = 1
1-1/6=5/6
60% as a fraction =3/5
5/6-3/5
25/30-18/30
7/30
There are 7/30 of the original cake left.
Hope this helps :)
