Answer:
a)
b) number of flowers.
c) 2830
Step-by-step explanation:
We are given the following in the question:
The number of flowers bloomed is given by the function:
where s is the s is the number of seeds she planted.
The number of seeds planted per week is given by
where w represents the number of weeks.
a) composite function that represents how many flowers Lily can expect to bloom over a certain number of weeks.
The composite function can be written as:
where f(w) gives the number of flowers that bloomed in w weeks.
b) units of measurement for the composite function
The composite functions gives the number of flower that will bloom in w weeks. Thus, the unit of measurement is number of flowers.
c) Number of flowers in 35 weeks.
We put w = 35 in the composite function.
2830 flowers will bloom in 35 weeks.
Thanks
Step-by-step explanation:
Answer: y = 2x
Step-by-step explanation:
The equation of a straight line can be represented in the slope intercept form as
y = mx + c
Where
m = slope = (change in the value of y in the y axis) / (change in the value of x in the x axis)
The equation of the given line is
y = 2x - 8
Comparing with the slope intercept form, slope = 2
If two lines are parallel, it means that they have the same slope. Therefore, the slope of the line passing through (- 3,-6) is 2
To determine the intercept, we would substitute m = 2, x = - 3 and
y = - 6 into y = mx + c. It becomes
- 6 = 2 × - 3 + c
- 6 = - 6 + c
c = - 6 + 6 = 0
The equation becomes
y = 2x
The Angle-Side Relationships theorem (or triangle parts relationship theorem) states that<span> if one side of a triangle is longer than another side, then the angle opposite the
longer side will have a greater degree measure than the angle opposite the shorter
side.
The converse to the </span>Angle-Side Relationships theorem (or triangle parts relationship theorem) states that if one angle of a triangle has a greater degree measure than
another angle, then the side opposite the greater angle will be longer than the
side opposite the smaller angle.
Thus, from the proof if AB > AC, then m∠C > m∠B by the <span>converse of the triangle parts relationship theorem</span>.
Answer:
New balance = $316.8
Step-by-step explanation:
Given : Maya's unpaid balance is $205.16. Her APR is 14.4% and she has $82.10 in new transactions.
To find : What is her new balance?
Solution : First we find out the finance charge
Unpaid balance = $205.16
Finance rate = 14.4%
Finance charge = Unpaid balance × finance rate
Finance charge = $29.54
New purchase = $82.10
New balance = Unpaid balance + finance charge + new purchase
New balance = $205.16 + $29.54 + $82.10
New balance = $316.8
First part of the race
speed1, s1 = 8.75 km/h
distance1 = 5 km - x
time 1 = 0.65 h - t
Second part of the race
speed2, s2 = 6 km/h
distance2 = x
time2 = t
s2 = x/t = 6 ⇒ t = x / 6
s1 = [5 - x] / [0.65 - t] = 8.75
5 - x = 8.75 [0.65 - t]
5 -x = 8.75(0.65) - 8.75t
5 - x = 5.6875 - 8.75 (x/6)
5 - x = 5.6875 - 1.4583x
1.4583 x - x = 5.6875 - 5
0.4583 x = 0.6875
x = 0.6875 / 0.4583 = 1.5
