Answer:
See below
Step-by-step explanation:
<em>On the graphs we see transformations of exponential functions</em>
<h3>Graphic 1 = Horizontal shift </h3>
- f(x) = 2ˣ is the parent function
- g(x) = 2ˣ⁺³ indicates shift to the left by 3 units
- h(x) = 2ˣ⁻¹ indicates the shift to the right by 1 unit
<h3>Graphic 2 =Vertical shift</h3>
- p(x) = (1/3)ˣ is the parent function
- r(x) = (1/3)ˣ⁺³ indicates shift up by 3 units
- q(x) = (1/3)ˣ⁻² indicates the shift down by 2 units
Answer:
No solution
Step-by-step explanation:
3x - 2= 3x + 5
3x is canceled out so
- 2 ≠ 5
No solution
Answer:
B) National Brand Cereal and Store Brand Crackers
Step-by-step explanation:
Since she wants to order the items that have the greatest probability of repeat customers she needs to order the items with the larger probability. That is National Brand Cereal and Store Brand Crackers
282.5 of 10 tickets were sold in the rock concert by the promoter
<h3>How to determine the number of 10 tickets?</h3>
To do this, we make use of the following representations:
- x represents the 10 tickets
- y represents the 15 tickets
- z represents the 20 tickets
The 475 tickets that were sold means that:
x + y + z = 475
The income means that:
10x + 15y + 20z = 6300
Also, we have:
10y = 4z
Divide both sides by 10
y = 0.4z
Substitute y = 0.4z in 10x + 15y + 20z = 6300
10x + 15*0.4z + 20z = 6300
10x + 6z + 20z = 6300
Evaluate the like terms
10x + 26z = 6300
Substitute y = 0.4z in x + y + z = 475
x + 0.4z + z = 475
Evaluate the like terms
x + 1.4z = 475
Make x the subject
x = 475 - 1.4z
Substitute x = 475 - 1.4z in 10x + 26z = 6300
10(475 - 1.4z) + 26z = 6300
Expand
4750 - 14z + 26z = 6400
Evaluate the like terms
12z = 1650
Divide both sides by 12
z = 137.5
Substitute z = 137.5 in x = 475 - 1.4z
x = 475 - 1.4 * 137.5
Evaluate
x = 282.5
Hence, 282.5 of 10 tickets were sold
Read more about system of equations at:
brainly.com/question/14323743
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Answer:
It rotates 50 times a second
Step-by-step explanation:
There is 60 seconds in a minute,so all you have to do is Divide 30,000 by 60 and you get 50!