Since it's literally cut in half, that means the triangle's area is literally half of the rectangle's area. Therefore, if we write it as
the triangle's area (a)=(1/2)*(b) (the rectangle's area) we can multiply 2 to both sides to get 2*a=b. Since a is (2x+10), we can plug it in and use the distributive property (since we just can't add up variables and integers) to get
2*(2x+10)=4x+20=b
The function 
represents exponential growth with the initial value equal to 1, the decay factor equal to 0.3, and the rate equal to 0.7.
<h3>Population Growth Equation</h3>
The formula for the Population Growth Equation is:
Pf= future population
Po=initial population
r=growth rate
t= time (years)
growth or decay factor = (1 ±r)
When 1+R > 1, the equation represents growth, while 1+R < 1 the equation represents decay.
The question gives:
, then
Pf=y
Po= 1
, thus
r= -70%= -0.7
decay factor= (1-0.7)=0.3
Therefore,
1+R will be = 1+(-0.7)=1 - 0.7 =0.3
When 1+R >1, the function represents exponential growth.
Read more about the exponential function here:
brainly.com/question/8935549
706.5 cubic feet of water should be put in the pool.
Step-by-step explanation:
Given,
The circumference of swimming pool = 157 feet.
The depth of the pool = 6 feet.
For safety purpose 
th of its height water is there.
To find the amount of the water should be there.
Formula
The volume of the pool = circumference×height
Now,
The height(h) of the water is = 6× ft = 
ft
So, the volume of the pool = 157× cubic feet
= 
cubic feet = 706.5 cubic feet.
Hence,
706.5 cubic feet of water should be put in the pool.
Answer:
Step-by-step explanation:
Circumference = 2 π r
100 = 2 π r
r = 100 / 2π
= 50/π
So the area = π r^2
= π * (50/π)^2
= 2500/π
= 795.8 yd^2.
Answer:
c. 10=4(3)+b; b=-2
Step-by-step explanation:
When given a single point (x1, y1)
The Equation of a line formula is given as:
y - y1 = m(x - x1)
From the question
m=4
the point is (3,10),
Hence, Equation of the line is
y - 10 = 4(x - 3)
y - 10 = 4x - 12
y = 4x - 12 + 10
y = 4x - 2
Hence, the correct substitution (y=mx+b)
10 = 4(3) + b
b = -2
Option C is the correct option
