Answer:
Standard equation of this circle is (x +5)² + y² = 9.
Step-by-step explanation:
The equation of a circle with center at (h,k) and a radius of r is:
(x - h)² + (y - k)² = r²
Subtitute the variables with h= -5, k = 0, and r = 3
(x - (-5))² + (y - 0)² =3²
(x + 5)² + y² = 9
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The standard size of diplomas are 11x14''
Law Schools or Medical Schools are bigger for colleges.
Answer:
I got x<equal to -11 or x>equal to4
Step-by-step explanation:
x^2+15x+44=0
(x+4)(x+11)=0(Factor left side of equation)
x+4=0 or x+11=0(Set factors equal to 0)
x=−4 or x=−11
Check intervals in between critical points. (Test values in the intervals to see if they work.)
x<−11(Works in original inequality)
−11<x<−4(Doesn't work in original inequality)
x>−4(Works in original inequality)
Answer:
x<−11 or x>−4
Answer:
<em>C. 3.8 years</em>
Step-by-step explanation:
<u>Exponential Growth
</u>
The natural growth of some magnitudes can be modeled by the equation:
Where P is the actual amount of the magnitude, Po is its initial amount, r is the growth rate and t is the time.
The actual population of deer in a forest is Po=800 individuals. It's been predicted the population will grow at a rate of 20% per year (r=0.2).
We have enough information to write the exponential model:
It's required to find the number of years required for the population of deers to double, that is, P = 2*Po = 1600. We need to solve for t:
Dividing by 800:
Taking logarithms:
Dividing by log 1.2:
Calculating:
t = 3.8 years
Answer: C. 3.8 years
Answer:
Step-by-step explanation:
<em>1).</em>
(a). Yes, the graph is linear.
(b). Rate of change is a slope m, m = (60 - 80) / (10 - 0) = - 2
<em>2).</em> Graph is not proportional, because y-intercept is (0, 80) and not (0, 0)
