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Anna71 [15]
3 years ago
12

Simplify the expression. State any excluded values. x^ 2 - 36/42x - 7x^ 2

Mathematics
1 answer:
REY [17]3 years ago
3 0

Consider the expression x^2-\dfrac{36}{42}x-7x^2.

This expression contains two terms with x^2, group them:

x^2-7x^2=x^2(1-7)=-6x^2.

Now simplify term \dfrac{36}{42}x=\dfrac{6}{7}x.

Now x^2-\dfrac{36}{42}x-7x^2=-6x^2-\dfrac{6}{7}x=6\left(-x^2-\dfrac{1}{7}x\right)=-6x\left(x-\dfrac{1}{7}\right).

This expression is defined for all x.

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Answer:

\int_{-1}^{1}7(x^{3}-x)\:dx

Step-by-step explanation:

1)  The other curve is y=0 then the common points of both curves are x-intercepts, the roots of y=7(x^{3}-x)

y=7(x^{3}-x)\Rightarrow 7(x^3-x)=0 \Rightarrow 7(x^{3}-x)=7x(x-1)(x-1)\Rightarrow \\S=\left ( 0,0 \right ),\left ( -1,0 \right ),\left ( 1,0 \right )

2). Then those intersection points are the upper and the lower limits. Plugging in to this formula for they belong to the interval [-1,1]:

\int_{a}^{b}|f(x)-g(x)dx

\int_{a}^{b}|f(x)-g(x)dx \Rightarrow \int_{-1}^{1}|7(x^{3}-x)-0|dx \Rightarrow \int_{-1}^{1}7(x^{3}-x)\:dx

 

8 0
3 years ago
7/2 ≥ b + 9/5. and btw, the ones that has the slashes are fractions. :3
Ainat [17]

Answer:

I believe it's

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6 0
2 years ago
12x=3/2 what does x=
xz_007 [3.2K]
<h2>>> Answer </h2>

_________

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12x =  \frac{3}{2}

x =  \frac{3}{2}  \times  \frac{1}{12}

x =  \frac{3}{24}

x =  \bold{ \frac{1}{8}}

5 0
3 years ago
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Answer: \frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}


Step-by-step explanation:

Given: Sybil has 1/2 of a pizza left over.

If she share the pizza with 3 of her friends, to find the fraction of the original pizza will Sybil and her 3 friends each receive, we need to divide 1/2 by 3 we get

The  fraction of the original pizza will Sybil and her 3 friends each receive

=\frac{\frac{1}{2}}{3}=\frac{1}{2\times3}=\frac{1}{6}\text{ of the original pizza.}



6 0
3 years ago
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Art [367]

Answer:

It is A

Step-by-step explanation:

Equation: 5x+1=9+3x

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