Solve each problem.

Mathematics

2 answers:

Veseljchak [2.6K]3 years ago

8 0

A-2.5
B:-197
Merry Christmas

Ivan3 years ago

7 0

The answer is A
Hope this help!

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How to find the limit of that question

jeka94

Factor the numerator using difference of cubes:
$a^3 - b^3 = (a-b)(a^2 +ab+b^2)$
a = x
b = 2

$\frac{x^3 - 8}{x-2} = \frac{(x-2)(x^2 +2x+4)}{x-2} = x^2 +2x+4$

Now you can evaluate limit as x=2.
$\lim_{x \to 2} (x^2 +2x+4) = 2^2 +2(2)+4 = 12$

5 0

4 years ago

What is the slope of a line that is parallel to the line represented by the equation 3x+4y=12?

mash [69]

Slope-intercept form is:

y = mx + b

"m" is the slope, "b" is the y-intercept (the y value when x = 0)

(there is probably another way to do this, but I will be doing it this way)

Isolate the "y" in the equation

3x + 4y = 12 Subtract 3x on both sides

4y = 12 - 3x Divide 4 on both sides

$y=3-\frac{3}{4}x$ or $y=-\frac{3}{4} x+3$ The slope is -3/4

For lines to be parallel, they have to have the SAME slope. The given line's slope is -3/4, so the slope of the parallel line is also $-\frac{3}{4}$

8 0

3 years ago

Divide 5 3/4 ÷ 1 1/2

Kipish [7]

The required mixed number is $3\frac{5}{6}$ . The calculations are attached with the solution as an image.

What is a mixed number ?

A bit represented with its quotient and remainder is a mixed bit. For illustration,21/3 is a mixed bit, where 2 is the quotient, 1 is the remainder.
So, a mixed bit is a combination of a whole number and a proper bit. A mixed bit, also called a mixed number, is a whole number and a bit together.
The bit is written to the right of the whole number.
A mixed number is formed by combining three corridor a whole number, a numerator, and a denominator. The numerator and denominator are part of the proper bit that makes the mixed number.