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:
see explanation
Step-by-step explanation:
The measure of arc MP = 360° - measure of arc PM, that is
arc MP = 360° - 210° = 150°
x is half the measure of the intercepted arc MP, thus
x = 0.5 × 150 = 75
Answer:
The total length of the border is 31.4 yards rounded to the nearest tenth of a yard
Step-by-step explanation:
The formula of the circumference of a circle is C = 2πr, where r is the radius of the circle
Jason used wire fencing to form a border around a circular region in his back yard
<em>That means the length of the wire is equal to the circumference of the circular region</em>
∵ The radius of the circular region was 5 yards
∴ r = 5 yards
∵ C = 2πr
- Substitute r by 5
∴ C = 2π(5)
∴ C = 31.41592654 yards
- Round it to the nearest tenth of a yard
∴ C = 31.4 yards
∵ The length of the wire is equal to the circumference of
the circular region
∴ The length of the wire is 31.4 yards
The total length of the border is 31.4 yards rounded to the nearest tenth of a yard
Answer:
APR = 416%
EAR = 5370.60%
Step-by-step explanation:
Given:
Interest rate = 7.8% per week
Now,
In an year there are total 52 weeks
thus,
The APR (Annual percentage rate) = Interest rate × Total weeks in an year
or
APR = 8% × 52
or
APR = 416%
and, EAR ( Effective Annual Rate ) = ( 1 + r )ⁿ - 1
Here,
r is the interest rate per week
n is the total weeks in an year
thus,
EAR ( Effective Annual Rate ) = ( 1 + 8% )⁵² - 1
= ( 1 + 0.08 )⁵² - 1
= 53.7060
or
53.7060 × 100% = 5370.60%
Answer:
6
Step-by-step explanation:
