Carmen is using the quadratic equation (x + 15)(x) = 100 where x represents the width of a picture frame. Which statement about the solutions x = 5 and x = –20 is true?
Answers
Mathematically, -20 is also correct for this satisfies the quadratic equation but here the most logical answer is 5.
No statements have been posted here actually that is why I have given an interpretation of your answers.
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Answers
Substitute 10 for r.
3(10) = 10 + 5s
30 = 10 + 5s
Subtract 10 from each side.
20 = 5s
Divide by 5.
4 = s
30=10+5s
20=5s
4=s
Answers
Final answer:
The question seeks two numbers which when multiplied result in 6.25 and, when added, give a total of 5. These numbers are 2.5 and 2.5.
Explanation:
The question is seeking for two numbers which when multiplied (times) result in 6.25 and when added (adds up) give a total of 5. These numbers are 2.5 and 2.5. This is because 2.5 times 2.5 equals 6.25, and also 2.5 + 2.5 equals 5.
To illustrate, consider this:
- 2.5 * 2.5 = 6.25 (multiplication)
- 2.5 + 2.5 = 5 (addition)
Therefore, the numbers you are looking for are 2.5 and 2.5.
Learn more about Number Properties here:
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Answers
The given color printer prints 136 pages in 17 minutes with a rate of 8 pages per minute.
Given that,
A color printer will print 8 pages per minute how many minutes will it take to print a report that has 136 pages is to be determined.
What is the rate of change?
Rate of change is defined as the change in value with rest to the time is called rate of change.
Here,
rate of printing = 8 pages / minute
Now, for the printing of 136 pages,
Time = 136 / 8 = 17 minutes
Thus, the given color printer prints 136 pages in 17 minutes with a rate of 8 pages per minute.
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Answers
Answer:
4
Step-by-step explanation:
16/4 = 4
25% = 4
50% = 8
75% = 12
100% = 16
Answers
Answer:
Boulder's maximum height is 226 ft.
It take 3.5 seconds the Boulder to reach its maximum height.
Step-by-step explanation:
Given :
A catapult launches a boulder with an upward velocity of 112 ft/s.
The height of the Boulder, h, in feet
After t seconds is given by the function :
--(a)
A quadratic function can be graphed using a table of values. The graph creates a parabola.
If the coefficient of the squared term is positive then the parabola opens up and The vertex of this parabola is known as the minimum point.
If the coefficient of the squared term is negative then the parabola opens down and The vertex of this parabola is known as the maximum point.
Now we will use vertex formula to calculate t
When
then vertex will be
Now consider the given function:
where a = -16
b=112
so using vertex formula :
Thus, it take 3.5 seconds the Boulder to reach its maximum height.
Now to calculate the Boulder's maximum height . Put value of t = 3.5 in given function (a)
Thus, Boulder's maximum height is 226 ft.
-b/2a = -112/2(16) = 3.5 s t= 3.5s h = -16t^2 + 112t + 30 h = -16(3.5)^2 +122(3.5) +30 h = 226
adjust the windows to y=300
3.5 s; 226 ft
Answers
Answer:
its d thats the right anwsers
Step-by-step explanation: