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arsen [322]
4 years ago
7

what are the roots of the polynomial equation x3-7x=6x-12? Use a graphing calculator and a system of equations.

Mathematics
2 answers:
kvasek [131]4 years ago
5 0

Answer:

B

Step-by-step explanation:

Masteriza [31]4 years ago
3 0
X3-7x=6x-12
x3-7x-6x+12=0
x3-13x+12=0
(x-1)(x2+x-12)=0
Calculate delta of the second bracket:
delta = 1+4*12=49
sqrt(delta)=sqrt(49)=7
x_1=(-1-7)/2=-4
x_2=(-1+7)/2=3

(x-1)(x+4)(x-3)=0

Answear:
Roots: x=1, x=-4, x=3.
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100 POINTS! I REALLY NEED TO GET THIS CORRECT! Factor the quadratic trinomial.
Assoli18 [71]

The factors of the equation x^2-3x-18 are (x-6)(x+3)

Step-by-step explanation:

We need to factor the quadratic trinomial. x^2-3x-18

We will do factorization by braking the middle term such that adding those number we get middle term (-3x) and multiplying those numbers we get (-18x^2)

Solving:

x^2-3x-18\\=x^2-6x+3x-18\\=x(x-6)+3(x-6)\\=(x-6)(x+3)

So, the factors of the equation x^2-3x-18 are (x-6)(x+3)

Keywords: Finding Factors of Quadratic Equation

Learn more about Finding Factors of Quadratic Equation at:

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8 0
4 years ago
Simplify this expression using the distributive property
jok3333 [9.3K]

Answer:

When you use the distributive property, you multiply the two numbers together, just like simplifying any product. You will also see another example where the expression in parentheses is subtraction, rather than addition. You will need to be careful to change the sign of your product.

Step-by-step explanation:

8 0
3 years ago
B+10≤-1 What is the solution of the inequality
Mademuasel [1]
B is less than or equal to -11
4 0
3 years ago
Can you help me?
Semenov [28]

Answer:

0=0

Step-by-step explanation:

8 0
3 years ago
An engineer is planning a new water pipe installation. The circular pipe has a diameter of d=20\text{ cm}d=20 cmd, equals, 20, s
aivan3 [116]

Answer: The answer is 314.28 cm² (approx.).


Step-by-step explanation:  Given that an engineer is going to install a new water pipe. The diameter of this circular pipe is, d = 20 cm.

We need to find the area 'A' of the circular cross-section of the pipe.

Given, diameter of the circular section is

\textup{d}=20~\textup{cm}.

So, the radius of the circular cross-section will be

\textup{r}=\dfrac{\textup{d}}{2}=\dfrac{20}{2}=10~\textup{cm}.

Therefore, cross-sectional area of the pipe is

\textup{A}=\pi \textup{r}^2=\dfrac{22}{7}(10)^2=\dfrac{2200}{7}=314\dfrac{2}{7}=314.28~.~.~.~\textup{cm}^2.

Thus, the answer is 314.28 cm² (approx.).

4 0
4 years ago
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