Answer:
1) 4x^(2)+11x+6 Factored--> (4x+3) (x+2)
2) 4x^(2)+10x+6 Factored--> (2x+3)(2x+2)
3) 4x^(2)+14x+6 Factored--> (x+3)(4x+2)
Step-by-step explanation:
Factor: 4x^(2)+11x+6 (<em>step by step)</em>
<em>1) Split the second term (11x) into two terms</em>
<em> </em>4x^2 + 8x + 3x + 6
<em>2)Factor out common terms in the first two terms, then in the last two terms.</em>
4x(x + 2) + 3(x + 2)
<em>3) Factor out the common term x + 2</em>
<em> </em> (x + 2) (4x + 3)
Repeat the above steps for similar questions!
Answer:
m = 3/4; b = -3
Step-by-step explanation:
1) First, put the given equation into slope-intercept form. This is so we can identify its slope and y-intercept easily. Isolate y:
2) Lines that are in slope-intercept form are represented by the formula
. The number in place of
, or the coefficient of the x-term, represents the slope. The number in place of
represents the y-intercept. So, the slope of
is
, and its y-intercept is -3.
Answer: Jack, To Decide
Step-by-step explanation:
I am almost certain this is right.
The idea that it is random from a stranger especially between two sides, it fits the idea for fairness. Same with the citizens asked to participate and the random generator.
Answer:
c+20=72
Step-by-step explanation:
Answer:
12,345 tablets may be prepared from 1 kg of aspirin.
Step-by-step explanation:
The problem states that low-strength children’s/adult chewable aspirin tablets contains 81 mg of aspirin per tablet. And asks how many tablets may be prepared from 1 kg of aspirin.
Since the problem measures the weight of a tablet in kg, the first step is the conversion of 81mg to kg.
Each kg has 1,000,000mg. So
1kg - 1,000,000mg
xkg - 81mg.
1,000,000x = 81

x = 0.000081kg
Each tablet generally contains 0.000081kg of aspirin. How many such tablets may be prepared from 1 kg of aspirin?
1 tablet - 0.000081kg
x tablets - 1kg
0.000081x = 1

x = 12,345 tablets
12,345 tablets may be prepared from 1 kg of aspirin.