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3 years ago

Please help me with this problem

Mathematics

1 answer:

alexira [117]3 years ago

5 0

If my memory serves me well I believe you would multiply all of those which would come out as 135 m. Hope this helped.

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If f and g are continuous functions with f(0) = 2 and the following limit, find g(0). lim_(x->0)[2 f(x) - g(x)] = -3

ladessa [460]

We have by distributivity of limits over sums, and continuity of $f(x)$ and $g(x)$ , that

$\displaystyle \lim_{x\to0} \bigg(2f(x) - g(x)\bigg) = 2 \lim_{x\to0} f(x) - \lim_{x\to0} g(x) = 2 f(0) - g(0)$

Given $f(0)=2$ , it follows that

$2^2 - g(0) = -3 \implies g(0) = \boxed{7}$

5 0

1 year ago

use the slope formula to determine the slope of a line that passes through the points (4,9) and (-8,-6)

larisa86 [58]

$\frac{-6-9}{-8-4}\\ \\\frac{-15}{-12}\\ \\= \frac{5}{4}$

Slope: 5/4

6 0

2 years ago

What is:<br> 1/4 (q-12) + 1/4 (q-4)<br> simplified??

Alexandra [31]

Answer: -b - 9

Step-by-step explanation:

First, since the a cancel eachother out we are left with (4-b) + (-6-7)

Second, you want to add the -6 and -7 to get -13, so (4-b) - 13

Finally, add the 4 to the negative 13 to get (-b - 9)

Hope this helps.

4 0

2 years ago

The midpoint of EF is M(4,10). One endpoint is E(2,6). Find the coordinates of the other endpoint F.

Licemer1 [7]

You will need to set equations to solve for x and y coordinate.
(2+x)/2=4
2+x=8
x=6

(6+y)/2=10
6+y=20
y=14

The answer is A. (6,14)

5 0

3 years ago

Please help me with this question!! I also need the steps

e-lub [12.9K]

Hi there!

$\large\boxed{x = \frac{\pi}{3} \text{ and } \pi}$

We are given:

cos(7x)cos(4x) = -1 - sin(7x)sin(4x)

Begin by moving all terms with variables to one side:

cos(7x)cos(4x) + sin(7x)sin(4x) = -1

The corresponding trig identity is cos(A - B). Thus:

cos(7x - 4x) = cos(7x)cos(4x) + sin(7x)sin(4x) = -1

cos(3x) = -1

cos = -1 at π, so:

3x = π

x = π/3

We can also find another solution. Let 3π = -1:

3x = 3π

x = π

Thus, solutions on [0, 2π) are π/3 and π.

8 0

3 years ago