Answer:
the first one
Step-by-step explanation:
(x-7)^2-9 is f(x)
Answer:
the function is continuous from the left at x=1 and continuous from the right at x=0
Step-by-step explanation:
a function is continuous from the right , when
when x→a⁺ lim f(x)=f(a)
and from the left when
when x→a⁻ lim f(x)=f(a)
then since the functions presented are continuous , we have to look for discontinuities only when the functions change
for x=0
when x→0⁺ lim f(x)=lim e^x = e^0 = 1
when x→0⁻ lim f(x)=lim (x+4) = (0+4) = 4
then since f(0) = e^0=1 , the function is continuous from the right at x=0
for x=1
when x→1⁺ lim f(x)=lim (8-x) = (8-0) = 8
when x→1⁻ lim f(x)=lim e^x = e^1 = e
then since f(1) = e^1=e , the function is continuous from the left at x=1
F = final amount = unknown
P = 7000 is the principal (amount loaned)
i = 0.05 is the decimal form of 5% interest rate
t = 3 years go by
Plug those three values into the formula below and simplify
F = P*(1+i)^t
F = 7000*(1+0.05)^3
F = 7000*(1.05)^3
F = 7000*(1.157625)
F = 8103.375
F = 8103.38
<h3>Answer: Choice A) $8,103.38</h3>
Easy peasy
slope=(change in rise)/(change in run)
aka
slope between points (x1,y1) and (x2,y2) is
slope=(y2-y1)/(x2-x1) since y is rise/up and x is run/leftright
points
(-7,-9) and (-5,-8)
x1=-7
y1=-9
x2=-5
y2=-8
remember minusing a negative means addin a positive
slope=(-8-(-9))/(-5-(-7))=
(-8+9)/(-5+7)=1/2
slope=1/2
positive slopes go from bottom left to top right
since it is less than 1
it is more horizonal than vertical
