Answer:
The current population (in 2005) is 4000 because it is the constant. The slope tells us how many people are added to the population, so 70 per year. For ex. 2008 (2008- 2005 = 3=> 3 x 70 = 210 => 210 + 4000 = 4210).
Answer:
64
Step-by-step explanation:
the expression is
x² - 16x + _
the constant term is the square of the number residing with x divided by 2
the number number x = 16
therefore the constant term is (16/ 2)²
= 8²
= 64
the formula being used here is
(x + a)² = x² + 2ax + a²
<h2>
Therefore the length of the living room = 24 ft</h2>
Step-by-step explanation:
Given that , Consuelo's living room is in the shape of rectangle and has an area of 360 square feet and the width of the living room is 
its length
Let ,the length of the living room is = x ft
Then width =
ft
Therefore the area of the living room =
According to problem,
⇔
⇔
⇔
⇔
⇔
Therefore the length of the living room = 24 ft
Answer:
y = -x - 2
Step-by-step explanation:
y = mx + c
m = (-1-3)/(-1-(-5)) = -4/4 = -1
y = -x + c
(-1,-1)
-1 = -(-1) + c
c = -2
y = -x - 2
Any time you have a fraction within an equation, multiply the entire equation by the denominator to clear the fraction. Since the lead term is negative, we can multiply that away as well
(-14) (0=-1/14x²+4x+5) [now distribute]
0=x²-56x+70 [try to factor into binomials first]
Since 70 only has prime factors of 2·5·7, there is no combination which equals (-56). Use the quadratic formula, or complete the square. I'll use quadratic:
x=<u>-b+/-√(b²-4ac)</u>
2a
a=1, b=(-56), c=70
x= <u>-(-56)+/- √((-56)²-4(1)(70)</u>
2(1)
x= <u>56+/- √(3136-280)
</u> 2
<u />x=<u>56+/-√(2856)</u>
2
x=<u>56+/-√(2³·3·119)</u>
2
x=<u>56+/-2√(714)</u>
2
x=28+√714; x=28-√714
