Answer:
Let's simplify step-by-step.
3x2+9x+6−(8x2+3x−10)+(2x+4)(3x−7)
Distribute:
=3x2+9x+6+−8x2+−3x+10+(2x)(3x)+(2x)(−7)+(4)(3x)+(4)(−7)
=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28
Combine Like Terms:
=3x2+9x+6+−8x2+−3x+10+6x2+−14x+12x+−28
=(3x2+−8x2+6x2)+(9x+−3x+−14x+12x)+(6+10+−28)
=x2+4x+−12
Answer:
=x2+4x−12
Answer:
The area of the piece of construction paper is 
Step-by-step explanation:
Length of construction paper =
=
Width of construction paper = 
= 
Area of construction paper =
Area of construction paper = 
= 
Hence the area of the piece of construction paper is 
Suppose we have a triangle ΔABC,
Length of AB = 14
Length of AC = 14
Angle ∠BAC = 122 degree
This triangle is isosceles triangle so, angle B = angle C = (180 - 122)/2 = 29
We know the two side and one angle of triangle ABC, here we use Sine Rule.
(In trigonometry, the law of sines, sine law, sine formula, or sine rule is an equation relating the lengths of the sides of a triangle (any shape) to the sines of its angles.)
According to the law,


Solve for a
a = 24.49 option C
Answer: a) 236,000.
b) 2021
Step-by-step explanation:
Given : Population Growth The population P (in thousands) of Oriando,Florida from 1980 through 2009 can be modeled by
(1)
where t = 0 corresponds to 1980.
Then , for 2009
t= 2009-1980=29
a. ⇒The population of Phoenix in 2009 = 


Hence, the population of Orlando in 2009 was about 236,000.
b) Substitute p= 300 in (1) , we get
(Divide both sides by 130)
Taking Natural log on both sides,


Hence, The year Orlando will have a population of 300,000 =1980+41 =2021