Answer:
An airplane cruises 1 kilometer in 1/12 of a minute. What is its cruising speed?<u>200</u>
No, she's not. If each energy drink's unit cost was just over $2.00, and there are 6 drinks in a pack, then that's at least $12.00 right there, but the entire 6-pack is on sale for only $2.99. She should find the correct price by dividing $2.99/6, resulting in about $0.50 per drink
Answer:
B) The maximum y-value of f(x) approaches 2
C) g(x) has the largest possible y-value
Step-by-step explanation:
f(x)=-5^x+2
f(x) is an exponential function.
Lim x→∞ f(x) = Lim x→∞ (-5^x+2) = -5^(∞)+2 = -∞+2→ Lim x→∞ f(x) = -∞
Lim x→ -∞ f(x) = Lim x→ -∞ (-5^x+2) = -5^(-∞)+2 = -1/5^∞+2 = -1/∞+2 = 0+2→
Lim x→ -∞ f(x) = 2
Then the maximun y-value of f(x) approaches 2
g(x)=-5x^2+2
g(x) is a quadratic function. The graph is a parabola
g(x)=ax^2+bx+c
a=-5<0, the parabola opens downward and has a maximum value at
x=-b/(2a)
b=0
c=2
x=-0/2(-5)
x=0/10
x=0
The maximum value is at x=0:
g(0)=-5(0)^2+2=-5(0)+2=0+2→g(0)=2
The maximum value of g(x) is 2
Average rate of change is just the slope between the 2 points
we can do this the long way or the smart way
long way, find the 2 points and find the slope between them
when x=-5, f(-5)=-2(-5)+1=10+1=11
when x=1, f(1)=-2(1)+1=-2+1=-1
so the points are (-5,11) and (1,-1)
the slope between them is (-1-11)/(1-(-5))=(-12)/(1+5)=-12/6=-2
the answer is B, -2
smart way
recognize that that is a linear equation and the slope between any 2 points will be the m in y=mx+b
f(x)=-2x+1
the slope is -2
the average rate of change is -2
answer is B. -2
Answer:
Present age of john= 24 years
Let Shane's age= x years
Two years ago
John's age = 24-2= 22 years
Shane's age = (x-2) years
Writing in terms of equation,to the above statements
⇒22= 2(x-2)
⇒22= 2 x- 4
⇒22+4 = 2 x
⇒ 2 x= 26
⇒ x= 26÷2
⇒ x =13
Present age of son = 13 years
