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dangina [55]
3 years ago
7

Write a numerical expression for the verbal expression.

Mathematics
2 answers:
zysi [14]3 years ago
7 0

Answer:

The verbal expression would look like 36+14/(2x5) in a numerical expression

dmitriy555 [2]3 years ago
6 0

Step-by-step explanation:

The numerical expression is:

(36 + 14) / (2 * 5).

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Consider the equation below. f(x) = 2x3 + 3x2 − 336x (a) Find the interval on which f is increasing. (Enter your answer in inter
Vaselesa [24]

We have been given a function f(x)=2x^3+3x^2-336x. We are asked to find the interval on which function is increasing and decreasing.

(a). First of all, we will find the critical points of function by equating derivative with 0.

f'(x)=2(3)x^{2}+3(2)x^1-336

f'(x)=6x^{2}+6x-336

6x^{2}+6x-336=0

x^{2}+x-56=0

x^{2}+8x-7x-56=0

(x+8)-7(x+8)=0

(x+8)(x-7)=0

x=-8,x=7

So x=-8,7 are critical points and these will divide our function in 3 intervals (-\infty,-8)U(-8,7)U(7,\infty).

Now we will find derivative over each interval as:

f'(x)=(x+8)(x-7)

f'(-9)=(-9+8)(-9-7)=(-1)(-16)=16

Since f'(9)>0, therefore, function is increasing on interval (-\infty,-8).

f'(x)=(x+8)(x-7)

f'(1)=(1+8)(1-7)=(9)(-6)=-54

Since f'(1), therefore, function is decreasing on interval (-8,7).

Let us check for the derivative at x=8.

f'(x)=(x+8)(x-7)

f'(8)=(8+8)(8-7)=(16)(1)=16

Since f'(8)>0, therefore, function is increasing on interval (7,\infty).

(b) Since x=-8,7 are critical points, so these will be either a maximum or minimum.

Let us find values of f(x) on these two points.

f(-8)=2(-8)^3+3(-8)^2-336(-8)

f(-8)=1856

f(7)=2(7)^3+3(7)^2-336(7)

f(7)=-1519

Therefore, (-8,1856) is a local maximum and (7,-1519) is a local minimum.

(c) To find inflection points, we need to check where 2nd derivative is equal to 0.

Let us find 2nd derivative.

f''(x)=6(2)x^{1}+6

f''(x)=12x+6

12x+6=0

12x=-6

\frac{12x}{12}=-\frac{6}{12}

x=-\frac{1}{2}

Therefore, x=-\frac{1}{2} is an inflection point of given function.

3 0
3 years ago
7th grade math i mark as brainliest
mamaluj [8]
The answer is 45.5. The image explains why.

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2 years ago
Read 2 more answers
HELP ME PLEASE I HAVE BEEN DOING THIS FOR TWO HOURS, I BEG OF YOU‍♀️‍♀️
BabaBlast [244]

Answer:

  • The first factor is itself the sum of two terms
  • The solution is the product of two factors

Step-by-step explanation:

The math symbols of the expression include parentheses, a plus sign, and a multiplication symbol. The order of operations tells you to do the "plus" operation inside parentheses first. The numbers involved in a "plus" operation, or sum, are called "terms." The result is their sum.

Then the second operation in the order of operations is to do the multiplication of the sum on the left of the multiplication symbol by the number to the right of the multiplication symbol. The numbers involved in multiplication are called "factors". The result of multiplication is called a "product."

Matching up this vocabulary with what you see, you realize ...

  • the first factor is the sum of two terms
  • the end result of evaluating the expression is the product of two factors
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