Simplify 3^8 ÷ 3^2 A. 3^4 B. 3^10 C. 3^6 D. 3^6
2 answers:
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Answer:
23, 24, 25, 26, 27, 28, 29, or 30
22.5 ≤ p ≤ 30
Step-by-step explanation:
So we know that in 2/3 hours, Carlos can write 3 to 4 pages.
First, lets find how many 2/3's are in 5. Lets divide 5 by 2/3.
So there are 7.5 2/3's in 5.
Now, lets assume Carlos writes 4 pages per 2/3 hours consistently throughout that 5 hours. This would yield the maximum amount of pages Carlos can write in 5 hours.
7.5(4) = 30
So the maximum amount of pages Carlos can write in 5 hours is 30.
Now, lets assume Carlos writes 3 pages per 2/3 hours consistently throughout that 5 hours. This would yield the minimum amount of pages Carlos can write in 5 hours.
7.5(3) = 22.5
So the minimum amount of pages Carlos can write in 5 hours is 22.5.
Now we can write the information that we found as an inequality. Lets make p equal to the pages that Carlos can write in 5 hours.
22.5 ≤ p ≤ 30
Any value greater than to equal to 22.5 and less than or equal to 30 would be reasonable.
I hope you find my answer and explanation to be helpful. Happy studying.
Answer:
The standard equation of the parabola is:
Step-by-step explanation:
An x intercept of 2 means that the point (2, 0) is in the graph of the parabola.
We can also write the general expression for the parabola in vertex form, since we can use the information on the coordinates of the vertex: (4, 6) - recall that the axis of symmetry of the parabola goes through the parabola's vertex, so the x-value of the vertex must be x=4.
Now we can find the value of the parameter "a" by using the extra information about the point (2, 0) at which the parabola intercepts the x-axis:
Then the equation of the parabola becomes:
Answer:
Graph attached.
Step-by-step explanation:
In the question the given parameters are as followed.
1). Amplitude a = 7
2). Period =
3). Vertical shift = 1 means mid line of the graph will be y =1 and maximum of the graph is 8 and minimum is -6.
