Perimeter of a square = 4L
4L = (8x+12)ft
L= (2x+3)ft
The ordered pair which makes both inequalities true is (-2, 2).
It is given that inequalities are
y < -x + 1 and y > x
For y < -x + 1
Substituting every ordered pair,
1) (-3, 5)
⇒ 5 < - (-3) + 1
⇒ 5 < 3 + 1
⇒ 5 < 4 is false
2) (-2, 2)
⇒ 2 < -(-2) + 1
⇒ 2 < 2 + 1
⇒ 2 < 3 is true
3) (-1, -3)
⇒ -3 < - (-1) + 1
⇒ -3 < 1 + 1
⇒ -3 < 2 is true
4) (0, -1)
⇒ -1 < -0 + 1
⇒ -1 < 1 is true
Now , for y > x
1) (-3, 5)
⇒ 5 > -3 is true
2) (-2, 2)
⇒ 2 > -2 is true
3) (-1, -3)
⇒ -3 > -1 is false
4) (0, -1)
⇒ -1 > 0 is false
Therefore ,the ordered pair which makes both inequalities true is (-2, 2).
To know more about Inequalities here
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Complete the square
isolate x terms
y=(x^2-14x)+53
take 1/2 of -14 and square it ((-7)^2=49
add plus and minus of that inside the parntehasees
y=(x^2-14x+49-49)+53
factor perfect suqrae
y=((x-7)^2-49)+53
get rid of parnthasees
y=(x-7)^2-49+53
y=(x-7)^2+4
C isi answer
I hope this is what you're looking for. The concept of regrouping<span> (borrowing) is so that students can see what actually happens in it. For example, to </span>subtract <span>52 − 38, we write 52 as 50 + 2 (breaking it down into its tens and ones). Then, </span>regrouping<span> means that 50 + 2 becomes 40 + 12.</span>
Answer:
Part 1) The exponential function is 
Part 2) 
Step-by-step explanation:
Part 1) Write an exponential function
we know that
The exponential growth function is given by the formula
where
y is the population
x is the number of years
a is the initial population
r is the rate of change
we have
substitute
Part 2) How much will the population be after 16 years?
For x=16 years
substitute the value of x in the exponential function
