Good job u got the answer right
Y=-2x+2 and y=x^2-3x.
If there are solutions the x and y values are equal so we can say y=y:
x^2-3x=-2x+2 add 2x to both sides
x^2-x=2 subtract 2 from both sides
x^2-x-2=0 now factor...
x^2+x-2x-2=0
x(x+1)-2(x+1)=0
(x-2)(x+1)=0
So there are two solutions, when x=-1 and 2
Using y=-2x+2 we can find the corresponding y values for the solutions...
y(-1)=-2(-1)+2=2+2=4, y(2)=-2(2)+2=-4+2=-2 so the two solutions are the points:
(-1,4) and (2,-2)
<span>6554
Assuming that the growth the function will be of the form
f(n) = P*R^n
where
P = Initial population
R = Growth rate per period
n = number of periods
In this problem, the only period or interval I see are days. So we'll use n to represent the number of days since the start. The initial population is 1000, and the ratio would be 1600/1000 = 1.6. So the formula becomes
f(n) = 1000*1.6^n
So let's evaluate that function using n=4.
f(n) = 1000*1.6^n
f(4) = 1000*1.6^4
f(4) = 1000*6.5536
f(4) = 6553.6
Since we can't have a fractional mosquito, round to the nearest integer, giving 6554.</span>
Answer:
you know that sin 90 is 1 and cos 45 is 1/√2
so,
What problem do you need help with ?
