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stepladder [879]
2 years ago
6

Of

Mathematics
1 answer:
seraphim [82]2 years ago
5 0

Answer:

Step-by-step explanation:

The formula to find the x coordinate is

x=\frac{bx_1+ax_2}{a+b} where x1 and x2 come from the coordinates of J and K, and a = 2 (from the ratio) and b = 5 (from the ratio). Filling in:

x=\frac{5(-6)+2(8)}{2+5}=\frac{-30+16}{7}=\frac{-14}{7}=-2

Your choice is B

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Consider a function f(x) such that f(5x) =x-5/5x-1. Find f(x) and hence write down the domain of f(x).
nasty-shy [4]

Answer:

f(x) = \frac{x - 25}{5x - 5}

Domain: x \ne 1

Step-by-step explanation:

Given

f(5x) = \frac{x - 5}{5x - 1}

Required

Determine f(x) and its domain

To determine f(x), we replace 5x with x in f(5x)

So, we have:

f(5x) = \frac{\frac{5x}{5} - 5}{5x - 1}

f(x) = \frac{\frac{x}{5} - 5}{x - 1}

Take LCM

f(x) = \frac{\frac{x - 25}{5}}{x - 1}

f(x) = \frac{x - 25}{5} * \frac{1}{x-1}

f(x) = \frac{x - 25}{5x - 5}

To get the domain, we set the denominator as

5x - 5 \ne 0

5x \ne 5

x \ne 1

4 0
3 years ago
a bag contains 4 blue and 3 yellow marbles.The marbles are removed from the bag one at a time without replacement. what is the p
sertanlavr [38]
4/7 times 3/7 = the answer 12/49
7 0
2 years ago
Rewrite the expression without parentheses by using the Distributive Property p(q-r) VERY URGENT!
Vesnalui [34]

Step-by-step explanation:

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Write the linear equation in slope intercept form 1,3 and -3,-5
oksian1 [2.3K]

For this case we have that by definition, the equation of the line of the slope-intersection form is given by:

y = mx + b

Where:

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b: It is the cut-off point with the y axis

We have two points through which the line passes:

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We found the slope:

m = \frac{y_ {2} -y_ {1}} {x_ {2} -x_ {1}}

Substituting we have:

m = \frac {-5-3} {- 3-1} = \frac {-8} {- 4} = 2

Thus, the equation is of the form:

y = 2x + b

We substitute one of the points and find the cut-off point:

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ANswer:

y = 2x + 1

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