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3 years ago

twice the smaller of two consecutive integers increased by the larger integer is at least 25. what is the number?

1 answer:

3 0

$x,x+1-\ two \ consecutive\ numbers\\\\
2x+x+1\geq25\\\\
3x+1\geq25\ \ \ | subtract\ 1\\\\
3x\geq24\ \ \ | divide\ by\ 3\\\\
x\geq8\\\\
It\ is\ 8\ or\ greater\ number.$

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In the data set below, what are the lower quartile, the median, and the upper quartile?

Studentka2010 [4]

The median, upper and lower quartiles of the data set are:

Lower Quartile = 46

Median = 49

Upper Quartile = 90

<h3>What is the Median?</h3>

The center value or middle value of a data set is the median.

<h3>What are the Upper and Lower Quartiles?</h3>

Upper quartile (Q3) is the center or middle data point of the second half of a data set.

Order the data set given as:

32, 46, 49, 49, 77, 90, 96

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Upper Quartile = 32, 46, 49, 49, 77, (90,) 96 = 90

Learn more about the Median, Upper and Lower Quartiles on:

brainly.com/question/15572643

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2 years ago

Please help!

tensa zangetsu [6.8K]

If the parabola has y = -4 at both x = 2 and x = 3, then since a parabola is symmetric, its axis of symmetry must be between x = 2 and x = 3, or at x = 5/2. Our general equation can then be:
y = a(x - 5/2)^2 + k
Substitute (1, -2): -2 = a(-3/2)^2 + k
-2 = 9a/4 + k
Substitute (2, -4): -4 = a(-1/2)^2 + k
-4 = a/4 + k
Subtracting: 2 = 2a, so a = 1. Substituting back gives k = -17/4.
So the equation is y = (x - 5/2)^2 - 17/4
Expanding: y = x^2 - 5x + 25/4 - 17/4
y = x^2 - 5x + 2 (This is the standard form.)

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3 years ago