Answer:
what exactly are you looking for?
Step-by-step explanation:
The cubic function is f(x) = x^3
You need to perform three transformations to the cubic function to obtain
f(x) = - (x + 2)^3 - 5.
Those transfformations are:
1) Shift f(x) = x^3, 2 units leftward to obtain f(x) = (x + 2)^3
2) reflect f(x) = (x + 2)^3 across the x-axis to obtain f(x) = - (x + 2)^3
3) shift f(x) = - ( x + 2) ^3, 5 units downward to obtain f(x) = - (x + 2)^3 - 5
Answer:
The circumference of a circle is pi times diameter, so half-way around the pond is (1/2)pi times diameter.
The difference between walking around the pond and walking across the bridge is: 1.57d - d = 0.57d
Plug in diameter of 0.25
0.25*0.57 = 0.14 miles
Step-by-step explanation:
Answer:
The correct option is;
a > 1
Step-by-step explanation:
An exponential function can be expressed in the following general form;
f(x) = b·aˣ + k
Where;
b = The coefficient term
a = The base
x = The exponent
k = The vertical shift
The characteristic of an exponential function is that it increases if a > 1
From the graph, we have;
As 'x' increases to the right of the graph, f(x) = aˣ increases (upwards), therefore, a > 1
(5,1)(-3,4)
slope = (4 - 1) / (-3 - 5) = -3/8
y - y1 = m(x - x1)
slope(m) = -3/8
(5,1)...x1 = 5 and y1 = 1
now we sub
y - 1 = -3/8(x - 5) <=== point slope form
y - 1 = -3/8(x - 5)
y - 1 = -3/8x + 15/8
y = -3/8x + 15/8 + 1
y = -3/8x + 15/8 + 8/8
y = -3/8x + 23/8 <=== slope intercept form
y = -3/8x + 23/8
3/8x + y = 23/8 ...multiply everything by 8
3x + 8y = 23 <==== standard form
