Part a)
The inequality that represents the number of folders f and notebooks n she can purchase is
Part b)
The graph is attached in figure.
Step-by-step explanation:
Part a)
Total budget of Mary = $150
Price of each folder = $2.15
Price of each notebook= $4.60
Let f represent folder and n represent notebooks the inequality will be:
We are using less than or equal to (≤) because the budget is 150. the total price should be less than or equal to 150.
So, inequality that represents the number of folders f and notebooks n she can purchase is
Part b)
Graph the inequality 2x – 3y = 12
We need to graph the inequality but in the given question the inequality sign is missing.
Considering less than equal to (≤) sign
2x – 3y <= 12
The graph is attached in figure below.
Keywords: Solving inequalities
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Answer:
After 7 years the population will be 15268.
Step-by-step explanation:
Given a town has a population of 12000 and grows at 3.5% every year. we have to find the population after 7 years.
As the general growth formula is
where A = Amount after growth
P = Original amount
r = yearly growth rate
t = no. of years
here, P=12000, r=0.035, t=7
=
=
Hence, after 7 years the population will be 15268.
Answer:
B.
Step-by-step explanation:
First, let's start from the parent function. The parent function is:
The possible transformations are so:
,
where a is the vertical stretch, b is the horizontal stretch, c is the horizontal shift and d is the vertical shift.
From the given equation, we can see that a=1 (so no change), b=3, c=-3 (<em>negative </em>3), and d=3.
Thus, this is a horizontal stretch by a factor of 3, a shift of 3 to the <em>left </em>(because it's negative), and a vertical shift of 3 upwards (because it's positive).
Answer:
Height of fir tree = 9 meters
height of pine tree= 12 meters
Step-by-step explanation:
The combined height of one fir tree and one pine tree is 21 meters. The height of 4 fir trees stacked on top of each other is 24 meters taller than one pine tree.
Let x be the height of fir tree and y be the height of pine tree
Subtract x from both sides
height of 4 fir trees = pine tree +24
Substitute 21-x or y in the above equation
Add x on both sides
Divide by 5 on both sides
x=9
Now plug in 9 for x and find out y
y=12
Height of fir tree = 9 meters
height of pine tree= 12 meters