3x^2 + 5x + 2
a = 3 , b = 5 , c = 2
Start by mulitplying a*c = 3 * 2 = 6
Now find two number that multiply to 6 and add up to b or 5
We could use 2 and 3 because ....
3 + 2 = 5
3 * 2 = 6
Now you rewrite....
3x^2 + 3x + 2x + 2
Now pull out common factors...
3x ( x + 1 ) + 2 ( x + 1)
The factors of this expression is ( 3x + 2 ) ( x + 1)
Answer:
x = 92
Step-by-step explanation:
I did big side over small side, proportions.
Cross Multiply.
39x = 3,588
divide by 39x
x = 92
Answer:
The first term of the sequence is -120.
Step-by-step explanation:
The formula for the "nth" term of a geometric sequence is shown below:
an = a0*r^(n-1)
Where an is the nth term, r is the ratio and n is the position of the term on the sequence. For this problem we want to find what is the initial term, a0, so we will isolate it in the formula as shown below:
a0*r^(n-1) = an
a0 = an/[r^(n-1)]
We then apply the data given to us
a0 = 31.45728/[-0.8^(7-1)]
a0 = 31.45728/[-0.8^6] =31.45728 /-0.262144= -120
The first term of the sequence is -120.
Question:
A grocery store has 120 bottles of spring water in stock. The store orders bottles of spring water in cases of 24. The store wants to order enough cases of spring water so it has more than 500 bottles in stock. Which inequality best models this situation?
A. 24x + 120 > 500
B. 24x - 120 > 500
C. 24x + 500 > 120
D. 24(x+120) > 500
Answer:
Option A. 24x + 120 > 500 is the inequality that best models this situation.
Step-by-step explanation:
The Number of bottles of spring water in the stock = 120
Each case of the spring water bottles contains 24 bottles
The store wants to order enough cases of spring water so that it has over 500 bottles in stock.
So there are already 120 bottles in stock .
The store will order
24x +120 > 500
where x is the number of spring water bottle cases
Answer:
Step-by-step explanation:
CORN VIRUS IS A
HOAX
