Answer:
(x+1)(2x+5)
Step-by-step explanation:
f(x) = 2x² + 7x + 5
Factor the expression by grouping. First, the expression needs to be rewritten as 2x²+ax+bx+5. To find a and b, set up a system to be solved.
a+b=7
ab=2×5=10
Since ab is positive, a and b have the same sign. Since a+b is positive, a and b are both positive. List all such integer pairs that give product 10.
1,10
2,5
Calculate the sum for each pair.
1+10=11
2+5=7
The solution is the pair that gives sum 7.
a=2
b=5
2x²+7x+5 as (2x²+2x)+(5x+5).
(2x²+2x)+(5x+5)
Factor out 2x in the first and 5 in the second group.
2x(x+1)+5(x+1)
Factor out common term x+1 by using distributive property.
(x+1)(2x+5)
Answer:
numbers of tables on the y axis and the money earned on the x axis
Step-by-step explanation:
Answer:
.
Step-by-step explanation:
It is given that the sum of first two terms of an infinite GP is 6.
nth term of a GP is
...(1)
Each term is 5 times the sum of the succeeding terms.
Divide both sides by a.
![[\text{Sum of infinite GP}=\dfrac{a}{1-r}]](https://tex.z-dn.net/?f=%5B%5Ctext%7BSum%20of%20infinite%20GP%7D%3D%5Cdfrac%7Ba%7D%7B1-r%7D%5D)
The common ratio is 1/6.
Put r=1/6 in (1).
Second term 
Therefore, the second term is .
Answer: $33.92
Step-by-step explanation:
We will find 106% of the tickets to answer this question.
A percent divided by 100 becomes a decimal.
106% / 100 = 1.06
We will multiply the price for the tickets by this decimal.
$32 * 1.06 = $33.92
The final price for the tickets is $33.92.
