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3 years ago

(6x²-x-1)/(x-1) How do I simplify this so it is not divided by anything?

Mathematics

1 answer:

a_sh-v [17]3 years ago

7 0

Simplify:

The equation is already simplified =====> (6x² - x - 1)/(x - 1)

Solve:

Solution (6x² - x - 1)/(x - 1) =======> 6x + 5 + 4/x - 1

Steps:

Apply Long Division on:

(6x² - x - 1)/(x - 1)

Divide:

(6x² - x - 1)/(x - 1):

(6x² - x - 1)/(x - 1) = 6x + 5x - 1/x - 1

= 6x + 5x - 1/x - 1

Divide:

5x - 1/x - 1

= 5 + 4/x - 1

Answer ======> 6x + 5 + 4/x - 1

Hope that helps!!!!! : )

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Write an equation for a circle with a diameter that has endpoints at (–10, 1) and (–8, 5). Round to the nearest tenth if necessa

satela [25.4K]

The standard form for the equation of a circle is :

(x−h)^2+(y−k)^2=r2 ----------- EQ(1)
 where handk are the x and y coordinates of the center of the circle and r is the radius.
 The center of the circle is the midpoint of the diameter.

So the midpoint of the diameter with endpoints at (−10,1)and(−8,5) is :

((−10+(−8))/2,(1+5)/2)=(−9,3)

So the point (−9,3) is the center of the circle.

Now, use the distance formula to find the radius of the circle:

r^2=(−10−(−9))^2+(1−3)^2=1+4=5

⇒r=√5

Subtituting h=−9, k=3 and r=√5 into EQ(1) gives :

(x+9)^2+(y−3)^2=5

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3 years ago

Difference between the smallest term in the data set and the largest term in the data set

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Range definition:

The difference between the smallest term and the largest term in the data set is called the range.

Answer: Range

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3 years ago

Given that $x \le -7,$ identify all the correct conclusions. (A) $3x \le -21.$ (B) $3x \ge -21.$ (C) $-3x \le 21.$ (D) $-3x \ge

exis [7]

Answer:

Options A and D are correct choices.

Step-by-step explanation:

We have been given an inequality $x\leq -7$ and we are asked to find the correct options from our given choices.

Let us solve inequalities in our given options one by one to see which of these matches with our given inequality.

(A) $3x\leq -21$

$x\leq \frac{-21}{3}$

$x\leq -7$

We can see that option A gives the same answer as our given inequality, therefore, option A is the correct choice.

(B) $3x\geq -21$

$x\geq \frac{-21}{3}$

$x\geq -7$

This inequality represented in option C gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option B is incorrect.

Dividing inequality by a negative number swaps inequality sign.

$x\geq \frac{21}{-3}$

$x\geq -7$

This inequality gives solution that x should be greater than or equal to -7, which is opposite to our given inequality, therefore, option C is incorrect.

(D) $-3x\geq 21$