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Mars2501 [29]
3 years ago
6

I  recently got a bad grade on a test. How can I make sure I don't make silly mistakes when I hardly have time to double check?

Mathematics
1 answer:
Nataliya [291]3 years ago
4 0
Make sure you study, and if necessary, do some practice problems. Then, check to make sure you are right, and if not, find out why, and correct your mistakes.
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In how many different ways can 6 people line up in a luncjlh line
pogonyaev
There a six possible people for the first spot. 5 next, then 4, then 3, 2, 1. Multiply it together and you get 720. Another way to write 6*5*4*3*2*1 is 6!, or 6 factorial.
3 0
3 years ago
F is a twice differentiable function that is defined for all reals. The value of f "(x) is given for several values of x in the
nadezda [96]

The correct answer is actually the last one.

The second derivative f''(x) gives us information about the concavity of a function: if f''(x) then the function is concave downwards in that point, whereas if f''(x)>0 then the function is concave upwards in that point.

This already shows why the first option is wrong - if the function was concave downwards for all x, then the second derivate would have been negative for all x, which isn't the case, because we have, for example, f''(8)=5

Also, the second derivative gives no information about specific points of the function. Suppose, in fact, that f(x) passes through the origin, so f(0)=0. Now translate the function upwards, for example. we have that f(x)+k doesn't pass through the origin, but the second derivative is always f''(x). So, the second option is wrong as well.

Now, about the last two. The answer you chose would be correct if the exercise was about the first derivative f'(x). In fact, the first derivative gives information about the increasing or decreasing behaviour of the function - positive and negative derivative, respectively. So, if the first derivative is negative before a certain point and positive after that point. It means that the function is decreasing before that point, and increasing after. So, that point is a relative minimum.

But in this exercise we're dealing with second derivative, so we don't have information about the increasing/decreasing behaviour. Instead, we know that the second derivative is negative before zero - which means that the function is concave downwards before zero - and positive after zero - which means that the function is concave upwards after zero.

A point where the function changes its concavity is called a point of inflection, which is the correct answer.

7 0
3 years ago
DOES ANYONE UNDERSTAND QUADRATIC APPLICATIONS FOR ALGEBRA 1???? PLS DONT RESOND IF YOU DINT KNOW
lilavasa [31]

Answer:

1 ) Vertex form.

2 ) Standard form.

3 ) I'm not sure about this one, but there are only 3 forms, in which the last one is factored form, and the other two are above, so it must be factored form.

Step-by-step explanation:

1 ) Vertex form : y = a( x - h )² + k

Vertex form shows you where the vertex(the lowest/highest point aka ( h, k ) ) of the parabola is, without graphing it. (But you could graph it and find the vertex like that, I recommend you use desmos graphing)

2 )Standard form : y = ax² + bx + c

Standard form can be used to show the y-intercept( aka c ), in this case, where the snowball was thrown from. (Again, you can graph it and find where he parabola hits the y axis)

3 ) Factored form : ( ax + c )( bx + d )

Factored form tells us the x-intercepts, or in this case where the snowball landed or how long the snowball is in the air. (like i said, you could graph it, and find the points(there could be only one or maybe none in some cases) that are on the x axis)

I know this was four days ago, but I hope this helped you understand a little better.

4 0
2 years ago
Write the following with positive exponents: 10 to the -5 power
Vikki [24]

Answer:

10^-5

Step-by-step explanation:

3 0
3 years ago
Read 2 more answers
About how many meters is a 40-yard race
Varvara68 [4.7K]

Answer:

36.576 meters or 36.58 meters

Step-by-step explanation:


5 0
3 years ago
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