This would be displayed as 11 - 5k
This cannot be solved, however, without knowing the value of k, or at least what the expression is equal to.
Answer: Vertex
Step-by-step explanation:
To solve this exercise you must keep on mind the definitions shown below:
1. By definition, a regular pyramid is a right pyramid whose base is a regular polygon.
2. By definition, a regular polygon is a polygon whose sides have equal lenghts.
3. By definition the apex (which is the vertex at the tip of the pyramid) of a right pyramid lies directly above the center of the base.
Therefore, keeping the above on mind, you can conclude that:
A regular pyramid has a regular polygon base and a Vertex over the center of the base.
Answer:
y=-3x+5
Step-by-step explanation:
concepts: y=mx+b is slope intercept equation formula
m=slope
b= y intercept
Therefore we need to find the slope and y intercept
first find slope
m=
let y2 be 2
let y1 be -4
let x2 be 1
let x1 be 3
6/-2 = -3
m=-3
slope is -3
y= -3x+ b
we need find y intercept now
just plug in (1,2) into that equation
2=-3(1)+b
b=5
y=-3x+5
Answer:
698 fishes
Step-by-step explanation:
Generally, we can represent an exponential growth function as;
y = a•(1 + r)^t
originally, there were 3 fishes
The original value in this case means a = 3
After 6 weeks, there were 31
31 in this case is y
r is the increase percentage or rate
t is the time
So, we have it that;
31 = 3•(1 + r)^6
31/3 = (1 + r)^6
10.33 = (1 + r)^6
ln 10.33 = 6 ln (1 + r)
ln 10.33/6 = ln (1 + r)
e^0.3892 = (1 + r)
1 + r = 1.476
r = 1.476-1
r = 0.476 or 47.6%
So the growth percentage or rate is 47.6%
For 14 weeks, we simply have the value of t as 14;
So ;
y = 3•(1 + 0.476)^14
y = 3(1.476)^14
y = 698 fishes
Answer:
A GENERAL NOTE: CHARACTERISTICS OF THE GRAPH OF THE PARENT FUNCTION
f
(
x
)
=
b
x
An exponential function with the form
f
(
x
)
=
b
x
,
b
>
0
,
b
≠
1
, has these characteristics:
one-to-one function
horizontal asymptote:
y
=
0
domain:
(
−
∞
,
∞
)
range:
(
0
,
∞
)
x-intercept: none
y-intercept:
(
0
,
1
)
increasing if
b
>
1
decreasing if
b
<
1
Step-by-step explanation:
hope it helps you
