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notsponge [240]
2 years ago
6

If f(x) = x2 + 7, what is the equation for f'(x)?

Mathematics
1 answer:
denis23 [38]2 years ago
6 0

Answer:

2x

Step-by-step explanation:

\bullet\ (x^2)^{\prime}=2x\\\\\bullet\ (7)^{\prime}=0

\Longrightarrow f^{\prime }\left( x\right)  =\left( x^{2}+7\right)^{\prime }  =(x^2)^{\prime}+(7)^{\prime}=2x

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There are three grades in the school. One grade has 1/3 of the students, one grade has 1/4 of the students. What fraction of stu
AlladinOne [14]

Answer:

Step-by-step explanation:

Let x represent the total number of stdents that has all grades in the school.

There are three grades in the school. One grade has 1/3 of the students, this means that number of students that belongs tho this grade is 1/3 × x = x/3

One grade has 1/4 of the students, this means that number of students that belongs to this grade is 1/4 × x = x/4

Total number of students in both grades would be x/3 +/x/4 = 7x/12

The number of students in the remaining grade would be

x - 7x/12 = 5x/12

fraction of students in the remaining grade would be

(5x/12)/x = 5/12

4 0
3 years ago
Name the scale of the number line shown.
Rzqust [24]

Answer:

scale is 4...... ........

5 0
2 years ago
Find all the zeros of <br><img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7B6x%7D%5E%7B4%7D%20%20%20-%20%20%7B7x%7D%5E%7B
Svetradugi [14.3K]

Answer:

  {-1, 1/2, 2/3, 1}

Step-by-step explanation:

I find a graphing calculator to be a most useful tool for problems like this. (See attached.)

_____

First of all, observe that the constant is -2, so 0 is not a zero.

It is often useful to look at the sum of coefficients. Here, that is 0, indicating 1 is a zero.

You can divide that out, or simply continue by looking at the sum of coefficients with odd-degree terms negated. Then you have 6 +7 -4 -7 -2 = 0, indicating -1 is also a zero.

__

At this point, it can be useful to divide out the factors you know. The synthetic division tableaus attached show that work. First is division by (x+1), then by (x -1).

The result of doing that is the quadratic ...

  6x^2 -7x +2 = 0

This can be factored ...

  (6x^2 -3x) -(4x -2) = 0 . . . . . . rewrite -7x and group term pairs

  3x(2x -1) -2(2x -1) = 0 . . . . . . . factor each pair

  (3x -2)(2x -1) = 0 . . . . . . the factorization of the remaining quadratic

The zeros of this are the values of x that make the factors zero: 2/3 and 1/2.

The zeros of the given function f(x) are x ∈ {-1, 1/2, 2/3, 1}.

5 0
3 years ago
kelly ran 2 miles and burned 240 calories.The next day she ran 3 miles and burnd 360 calories. The next day 4 miles and 480 calo
s2008m [1.1K]

Answer:

960

Step-by-step explanation:

the ratio is 1:120

so 8 * 120 = 960

hope this helps please make brainliest :)

5 0
3 years ago
Present 5 mixed numbers that add up to the whole number 10.
anygoal [31]
5 1/3 + 4 2/3 = 10
4 1/3 + 5 2/3 = 10
6 1/4 + 3 3/4 = 10
9 3/5 + 2/5 = 10
2 8/10 + 7 1/5 = 10

hope this helps
3 0
3 years ago
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