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Natasha_Volkova [10]
3 years ago
12

Turn 33 less the product of 2 and x to a algebraic expression

Mathematics
1 answer:
Kazeer [188]3 years ago
6 0

33 - 2x


If this answer is incorrect, then I am sorry.

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Find the value of x for which the function y = x5-x³ + x² - 1 has a local minimum.
melisa1 [442]

The given function presents a local minimum in the coordinates (0,-1).

<h3>Factoring</h3>

In math, factoring or factorization is used to write an algebraic expression in factors. There are some rules for factorization.  One of them is a factor out a common term for example: x²-x= x(x-1), where x is a common term.

For solving this question, the given equation should be rewritten  from the factoring.

x^5-x^3+x^2-1=\left(x+1\right)^2\left(x-1\right)\left(x^2-x+1\right)=0. Then, you have 3 equations.

From the Zero Factor Principle, you can write

Equation 1

(x+1)²=0

x+1=0

x= -1

Equation 2

x-1=0

x=1

Equation 3

x²-x+1=0

x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{\left(-1\right)^2-4\cdot \:1\cdot \:1}}{2\cdot \:1}\\ \\ x_{1,\:2}=\frac{-\left(-1\right)\pm \sqrt{3}i}{2\cdot \:1}

From these points it is possible to plot a graph and you can see that the local minimum presents the coordinates (0,-1).

Read more about the factoring here:

brainly.com/question/11579257

#SPJ1

7 0
2 years ago
Which problem would you use the following proportion to solve for? = what is 40% of 24? what percent is 24 of 40? twenty-four is
ser-zykov [4K]
First you have to remember that to find a percentage you can multiply a number by the percentage's decimal form, for example 40% of 100 would be .40 * 100.
Anyways, 24*.40 =9.6.
To find the percentage however, you must divide 24/40 which equals 0.6, which is equal to the percentage 60%.
To find the third question, you must multiply 24 by 2.5 (0.4 * 2.5 = 1) and you should get 60.
The last question you may have made a typo on, you repeated the first question.
5 0
3 years ago
Read 2 more answers
What is a decimal that is equivalent to the fraction 3/100<br> ? Enter the answer in the box?
alexira [117]

Answer: your answer will be 0.03 hope this helpes

Step-by-step explanation:

5 0
2 years ago
Read 2 more answers
Note: Enter your answer and show all the steps that you use to solve this problem in the space provided. Drawings not to scale T
Dima020 [189]

Answer:

100°

Step-by-step explanation:

I assume the image is the one attached below.

The shapes are quadrilaterals, so their interior angles add up to 360°.  Three of those angles are 86°, 41°, and 133°.  So the fourth angle is:

x + 86° + 41° + 133° = 360°

x = 100°

3 0
3 years ago
The sum or product of a non-zero rational number and an irrational number is always
Anarel [89]

Answer:

Irrational

Step-by-step explanation:

A rational number and an irrational number when added will given another irrational number only.

Example consider a rational number 2 and an irrational number √3.

When we add these two we get

2+√3. an irrational number only

There is no chance of getting a rational number when a non zero rational and irrational is added.  In other words, there is nothing to cancel the irrational part when another rational number is added.

Hence the result would be irrational

Thus answer is irrational.

6 0
3 years ago
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