Answer:
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Step-by-step explanation:
Population of beetles in Week 0= 6
Population of beetles in Week 7= 83
From week 0 to week 7 there are 8 weeks.
But subtracting population of week 0 from population of week 7 gives
= 83-6
= 77
After the subtraction, we have 7 weeks remaining.
Dividing the remaining population by the number of weeks remaining
=77/7
= 11
For n number of weeks, population p of beetles
P(n)= p0 + 11(n)
Where p0= population of week 0
P(n) = population of n weeks
n= number of weeks
Answer:
y = -6x - 42
Step-by-step explanation:
First solve for y in x = 6 + 6y.
6y + 6 = x
6y = x - 6
6/6y = x/6 - 6/6
y = 1/6x - 1 the slope is 1/6.
Perpendicular lines slopes are negative reciprocals of each other.
So the new equation will have the slope of -6 ( the negative reciprocal of 1/6)
Next solve for "b" by using y = mx + b and the new slope of -6 and the point (-8,6)
y = mx + b
6 = -6(-8) + b
6 = 48 + b
-42 = b
The equation of the line is y = -6x - 42
Answer:
HYPERBOLA
Step-by-step explanation:
We have the statement,
'The set of all points in a plane for which the difference between the distances of a given point to two fixed foci equals a certain constant'.
We know that,
Hyperbola is the set of points such that for point P anywhere on the curve, the absolute distance to the two fixed points is a constant.
i.e. From the figure, we see that, the difference of the distance of P from
and
is equal to constant 2a.
Thus, the term representing the given statement is HYPERBOLA.
Answer:
On combining the beads they can make 20 bracelets.
Step-by-step explanation:
The number of beads Samantha has = 54 beads
Number of beads Amanda has = 2 x( Number of beads Samantha has)
= 2 x 54 = 108 beads
The total number of beads Amanda and Samantha has
= 54 beads + 108 beads
= 162 beads
Number of beads required to make 1 bracelet = 8 beads
Now, 
=
≈ 20
or, the total number of bracelets they can make is 20.
Hence, on combining the beads they can make 20 bracelets .