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Free_Kalibri [48]
3 years ago
12

Solve the following equation, and explain your solution method.x³+7x²-x-7=0

Mathematics
1 answer:
Korvikt [17]3 years ago
7 0

Answer:

x_{1}=-1\\ x_{2}=1\\ x_{3}=-7

Step-by-step explanation:

The easiest way to solve this equation is to first find and highlight a common factor between two terms. In this case, x^2 can be factored to rewrite the equation as follows:

x^{2} (x+7)-x-7=0\\x^{2} (x+7) = (x+7)

The (x+7) term can be crossed out on both sides and then for this equation to be true, there are two possibilities:

Either

x^{2} =1\\x_{1} = 1\\x_{2} = -1

or

(x+7) = 0\\x_{3} = -7

Therefore, the solutions to this equation are -1, 1 or -7.

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Find the point of intersection of the lines x-3 = 0 and y-5 = 0. ​
Vikki [24]

Answer:

x = 3 and y = 5

Step-by-step explanation:

Given equations are :

x-3 = 0 ....(1)

y-5 = 0 ....(2)

We need to find the point of intersection of the lines.

Add 3 both sides in equation (1).

x-3+3=3

x = 3

Now, add 5 to both sides of the equation.

y-5+5=0+5

y = 5

Hence, the required point of intersection of the lines is x = 3 and y = 5.

3 0
3 years ago
How many places do you need to move the decimal if you multiply 0.2 x 0.2 ? Explain.
Alex

Answer:

none.

Step-by-step explanation:

if you did 0.2*0.2 you would ignore the decimal places for now and just multiply the numbers together:

   0.2

x   0.2

__________

          04

        + 000

____________

      040

Then, you would count the how many numbers are behind the decimals in the multiplication, which is two. then from your answer (040) you would count over two decimal places and put the decimal there. so, in this case the answer would be 0.40 or 0.4. furthermore, the decimal place would not move at all because the numbers you are multiplying are both the same decimal places.

4 0
4 years ago
Approximately how many years will it take $3000 to double if it is invested in an account that pays 3%
Anna71 [15]

Answer:

24 years

Step-by-step explanation:

Total = start*(1 + interest rate / amount of times compounded per month)^(years*amount of compounds per year)

6000 = 3000*(1+0.03/4)^(4x)

6000 = 3000* ((403/400)^4)^x

2 = ((403/400)^4)^x

x = log base-((403/400)^4) of 2 = x

x = 23.19

rounding down 23 years (but you probably want a year over that to get at least 6000, so 24)

6 0
3 years ago
Enter the slope-intercept equation of the line that has a slope -6 and y-intercept (0,2)
raketka [301]

Answer:

y=-6x+2

Step-by-step explanation:

slope-intercept equation is y=mx+b

m=slope and b=y-intercept, substitute slope for m and y-intercept for b

6 0
3 years ago
Is absolute value number 6 equal to absolute value NEGATIVE 6?
andreyandreev [35.5K]

Answer:

c

Step-by-step explanation:

The symbol for absolute value is two straight lines surrounding the number or expression for which you wish to indicate absolute value. |6| = 6 means the absolute value of 6 is 6. 6 is 6. 2 minus x.

3 0
3 years ago
Read 2 more answers
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