Answer:
B) Vertex (1,2), maximum
Step-by-step explanation:
First, determine if the graph has a maximum or a minimum value. Since the graph opens downwards, it has a <u>maximum</u> value.
The maximum is the point that has the greatest y value. We can see that the greatest y value is at . Going down two units from that spot, we can see that the x value is at . We can plug those into the vertex form, . By plugging in we get the point .
Based on Diego's normal usage of his phone, if the battery is at 75%, the phone will not last the whole trip.
<h3>How long will the phone battery last?</h3>
First find out how long each percentage of battery life lasts:
= 15 / 100
= 0.15 hours
If Diego is going on a 12 hour trip with 75%, the length of time it would last is:
= 0.15 x 75
= 11.25 hours
This is less than the 12 hours required so the phone will not last the whole trip.
Rest of question:
At 100%, the battery can go for 15 hours.
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Answer:
23, 25, 27
Step-by-step explanation:
It can be convenient to work "consecutive integer" problems by using a variable to represent the middle one.
__
<h3>setup</h3>
Let x represent the middle integer. Then (x-2) is the first of the three odd integers, and (x+2) is the third. The given relation is ...
2(x -2) +3x = 67 +2(x +2)
<h3>solution</h3>
5x -4 = 2x +71 . . . . . simplify
3x = 75 . . . . . . . . add 4-2x
x = 25 . . . . . . . divide by 3
The three integers are 23, 25, 27.
The equation -21t - 4 = 10 - 2t has only one solution
<u>Solution:</u>
Given, equation is – 21t – 4 = 10 – 2t
We have to find how many solutions does the above given equation have
Now, let us solve the given equation to find the number of solutions it has.
Then, - 21t – 4 = 10 – 2t
Taking like terms to one side of the equation we get,
- 21t + 2t = 10 + 4
here we can see only one value of t.
Hence, the given equation has only one solution.
Answer:
13
Step-by-step explanation:
1/4 of 52
= 1/4 x 52
= 52/4
= 13