Answer:
72 degrees
Step-by-step explanation:
Slope
y=-(7/8)x+105
plug in 72 for the y
72=-(7/8)x+105
-177=-(7/8)x
72 = x
Answer:
<em>I </em>=2000(0.075)4= $600
Step-by-step explanation:
Answer:
x=2, y=13. (2, 13).
Step-by-step explanation:
y=4x+5
2x+y=17
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2x+4x+5=17
6x+5=17
6x=17-5
6x=12
x=12/6
x=2
y=4(2)+5
y=8+5=13
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