Consider the quadratic functions represented below. Function #1 Function #2 x y -1 14 -0 6 1 2 2 2 3 6 4 14 Which function has a
greater minimum? Function # has a greater minimum. Function #3 has the equation, y = x 2 + 3x - 4. Complete the statement so that the minimums of the three functions are in order from least to greatest. # < #
1 answer:
Answer:
Function <u>#2</u> has a greater minimum.
#3 < #1 < #2
Step-by-step explanation:
In the picture attached, the question is shown.
The minimum of Function #1 is located at (3, -1). This is seen in the picture.
The minimum of Function #2 is located at (1.5, 1). We can see in the table that the function is symmetric respect 1.5 (half-point between 1 and 2).
The function y = x² + 3x - 4 has its minimum at its vertex:
x-coordinate of vertex: x = -b/(2a) = -3/(2*1) = -1.5
y-coordinate of vertex: y = (-1.5)² + 3(-1.5) - 4 = -6.25
So, the minimum of Function #3 is located at (-1.5, -6.25)
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This is about changing subject of formula.
<u><em>1) Option D</em></u>
<u><em>2) Option B</em></u>
<u><em>3) Option C</em></u>
<u><em>4) Option C</em></u>
<u><em>5) Option B</em></u>
- 1)
x = 10
To solve for x, we need to first multiply both sides by the inverse of the coefficient of x since it is a fraction.
This means we multiply both sides by .
Option D is correct
- 2) We are given the equation;
d = 27.2 - 9.8t
where;
d represents the number of miles she is from home
t represents the number of hours she rides
We are told that she is now 27.2 miles from home.
Since she rides at an average of 9.8 mph, then formula for time is;
t = distance/speed = 27.2/9.8
t = 2.7755
To the nearest hundredth gives;
t = 2.78 hours
Option B is correct
- 3) S = 145t + 85.
t represents months you have saved
This means that the coefficient of t is the amount you saved monthly = $145
And 85 is the amount you started with.
Option C is correct
- 4) From question 3 above, S represents the total amount saved after t months.
Thus, if you have saved $810 after t months, then;
145t + 85 = 810
145t = 810 - 85
145t = 725
t = 725/145
t = 5 months
Option C is correct
- 5) first shirt costs $35 and subsequent ones cost $11.
If the number you can buy is x and max amount to spend is $250, then;
35 + 11x 250
11x 250 - 35
11x 215
x 215/11
x 19.55
There is no decimal shirt and so we pick 19 shirts which is option B
Read more here; brainly.com/question/24657829