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just olya [345]
3 years ago
9

Equivalent to 3n + 2(1 - 4n)

Mathematics
1 answer:
kirill115 [55]3 years ago
5 0

Answer:

5n+2

Step-by-step explanation:

i hope this helps

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What are the roots of the polynomial equation x^3-5x+5=2x^2-5? Use a graphing calculator and a system of equations. Round nonint
leonid [27]

The right answer is c. –2.24, 2, 2.24


This question needs to be solved in two ways. First, using a graphing calculator. Next, using a system of equations.


1. Using a graphing calculator.


We have the following polynomial equation:

x^3-5x+5=2x^2-5


By ordering this equation we have:

x^3-2x^2-5x+10=0


So, we can say that this equation comes from a function given by:

f(x)=x^3-2x^2-5x+10


Thus, by plotting this function, we have that the graph of this function is indicated in Figure 1. By zooming, we can see, in Figure 2, that the roots of the polynomial equation are the x-intercepts of f(x) which are:


x_{1}=-2.236 \\ \\ x_{2}=2 \\ \\ x_{3}=2.236


Finally, rounding noninteger roots to the nearest hundredth we have:


\boxed{Root_{1}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=2.24}


2. Using a system of equations.


The ordered equation is:

x^3-2x^2-5x+10=0


By arranging to factor out we have:

x^3-5x-2x^2+10=0


Then, by factoring:

x(x^2-5)-2(x^2-5)=0


Term (x^2-5) is a common factor, thus:


(x-2)(x^2-5)=0 \\ \\ (x-2)(x-\sqrt{5})(x+\sqrt{5})=0 \\ \\ Finally: \\ \\ \boxed{Root_{1}=-\sqrt{5}=-2.24} \\ \\ \boxed{Root_{2}=2} \\ \\ \boxed{Root_{3}=\sqrt{5}=2.24}

6 0
3 years ago
Read 2 more answers
What is the first whole number greater than √43?
eduard

Answer:

I believe the answer would be 7

Step-by-step explanation:

if you square root 43 you would get 6.557... and the next whole number would be 7.

3 0
3 years ago
Read 2 more answers
Find the point of depression from point A to point C
lesya [120]

The angle of depression equals 32.


A way that you can solve this is by finding angle c. Angle C would be the same as the angle of depression because of alternate angles being congruent.

So you do the triangle angle sum theorem.

58+90+x=180

Simplify

148 +x=180

Subtract 148 from both sides

x=32

So Since angle c equals to 32 degrees, then the angle of depression is also 32 degrees.

3 0
3 years ago
The volume of a cube is found using the formula L^3 where L is the side length. What is the volume of a cube in cubic feet, that
navik [9.2K]
Hello,

V=(3/5)³=27/125
===============
7 0
4 years ago
The sum of 38 and twice a number is 124 find the number
insens350 [35]
38 + 2n = 124

2n = 124 - 38

2n = 124 - 24 - 14

2n = 86

Therefore:

n = 43
4 0
3 years ago
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