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4 years ago

Can someone help me?

Mathematics

1 answer:

Sladkaya [172]4 years ago

8 0

Answer:

Exponential

374.4

Step-by-step explanation:

This function is not linear. You can tell because the f(x) values do not increase by adding the same number each time.

163.84 + 81.83 = 245.67

245.67 + 122.88 = 368.64

The rate of change is different each time.

The average rate of change from x = 2 and x = 6 is the difference in y values over the difference in x values.

1866.24 - 368.64 = 1497.6

6 - 2 = 4

1497.6 / 4 = 374.4

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Find the following limit or state that it does not exist. ModifyingBelow lim With x right arrow minus 2 StartFraction 3 (2 x min

leva [86]

Answer:

-60

Step-by-step explanation:

The objective is to state whether or not the following limit exists

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2}$ .

First, we simplify the expression in the numerator of the fraction.

$3(2x-1)^2 -75 = 3(4x^2 - 4x +1) -75 = 12x^2 - 12x + 3 - 75 = 12x^2 - 12x -72$

Now, we obtain

$12(x^2-x-6) = 12(x+2)(x-3)$

and the fraction is transformed into

$\frac{3(2x-1)^2 - 75}{x+2} = \frac{12(x+2)(x-3)}{x+2} = 12 (x-3)$

Therefore, the following limit is

$\lim_{x \to -2} \frac{3(2x-1)^2 - 75}{x+2} = \lim_{x \to -2} 12(x-3) = 12 \lim_{x \to -2} (x-3)$

You can plug in $-2$ in the equation, hence

$12 \lim_{x \to -2} (x-3) = 12 (-2-3) = -60$

6 0

4 years ago

13-5m=4-6m show work please

Vesna [10]

First subtract 4 from both sides
$13 - 4 - 5m = - 6m$

then simplify
$9 - 5m = - 6m$

add -5 to both sides
$9 = - m$

since a variable shouldn't be negative the answer should be
$m = - 9$

(I prefer having the variable on the left side)

4 0

3 years ago

Pls pls help:( ASAP

katrin [286]

Answer:

The answer is 12.64 ft.

Step-by-step explanation:

From the figure it is clear that slope is the hypotenuse which we have to find while the other two sides are legs of the triangle whose lengths are known.

so the pitch of the roof is 12.64 ft. i explained in the figure below as well.