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arsen [322]
3 years ago
10

What is the solution set of the quadratic inequality f(x) greater than or equal to 0

Mathematics
1 answer:
stellarik [79]3 years ago
3 0

ANSWER

{x | x \in \: R}

EXPLANATION

From the graph, the given quadratic inequality is

{(x + 3)}^{2}  \geqslant 0

We can see that the corresponding quadratic function is a perfect square.

Since the graph opens upwards and it is always above the x-axis, any real number you plug into the inequality, the result is greater than or equal to zero.

Hence the solution set is

{x | x \in \: R}

The correct answer is A

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Alfonso runs 10 km at an average speed of x km/h.
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Step-by-step explanation:

Note that t = d/r where t is time, d is distance, and r is rate/speed.

We can come up with two equations with the information given and the equation:

t_1 hr = (10 km)/(x km/hr)

t_2 hr = (12 km)/(x - 1 km/hr)

<em>where t_1 is the time taken to run the 10km the first day and t_2 is the time taken to run the 12km the second day.</em>

We know that 30 minutes is 1/2 of an hour and that t_1 is 30 minutes less than t_2 (as stated in the question). Therefore, we can write:

t_1 = t_2 - 1/2

Substituting the values we derived:

(10 km)/(x km/hr) = (12 km)/(x - 1 km/hr) -1/2

Then we can evaluate by multiplying by 2x(x-1) on both sides:

20(x-1) = 24x - (x)(x-1)

20x - 20 = 24x - x^2 + x

x^2 -5x -20 = 0

And we are done.

I hope this helps! :)

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3 years ago
You have been asked to build a scale model of your school out of toothpicks. Imagine your school is 30 feet tall. Your scale is
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Round 4.645 to the nearest whole number! Please explain step by step to get marked
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Step-by-step explanation:

to round 4.645 to the nearest whole number consider the tenths’ value of 4.645, which is 6 and equal or more than 5. Therefore, we have to round up: the whole number part of 4.645, 4, increases by 1 to 5, and the decimal point and all digits (.645) are removed.

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D = 8 cm<br> h = 18 cm<br> What is the surface area of the cylinder
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Answer:

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Can somebody please help me?
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Now, the LINEAR distance traveled by the tip of each hand is also determined by the length of the hand. In the case of the minute hand, it sweeps out a circle of radius 10 cm, so traces out a circle of radius 10 cm. Since the circumference of a circle is 2*pi*r, the minute hand (remember it made one complete cycle) covers a distance of 2*pi*10cm=20 Pi cm 

The hour hand covers only 1/12 a circle, but that circle is only 6 cm in radius, so the distance traveled by the tip of the minute hand is: 

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good luck</span><span>
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