Answer:
#2: y-intercept=-2
Bottom left graph: Slope:4/2
y-intercept:-2
Equation: y=4/2x-2
Bottom right graph: Slope:-2
y-intercept:8
Equation: y=-2x+8
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
Thank you so much for the tip
Answer:
15/8 alphas = 1 gamma
Step-by-step explanation:
4 gammas = 5 beta
beta = 4/5 • gamma
2 betas = 3 alphas
beta = 3/2 • alpha
beta = beta
4/5 • gamma = 3/2 • alpha
multiply each side by 5/4
5/4 • 4/5 • gamma = 5/4 • 3/2 • alpha
gamma = 15/8 • alpha
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Answer: 3x² - x + 3 (Answer D)-----------------------------------------------
