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torisob [31]
3 years ago
7

1) Ay X 1 A) Nin B) -2 2 C) D) 2. 2

Mathematics
1 answer:
laila [671]3 years ago
8 0

Answer:

A) -1/2

Step-by-step explanation:

the slope is defined by the ratio of y/x.

that means that for a change of a certain number of units in x, y changes this number of units.

e.g. a slope of 5/3 means, if x changes by 3 units, y changes by 5.

the graphic shows a line that goes "down" with increasing x.

that means the slope is negative.

that eliminates C and D.

and we see that when x increases by 2 units, y decreases by 1 unit.

that means the slope is -1/2.

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Given x(y + 2) = 3x + y, express y in terms of x.​
vodka [1.7K]

Answer:

y = \frac{x}{x-1}

Step-by-step explanation:

Given

x(y + 2) = 3x + y ← distribute parenthesis on left side

xy + 2x = 3x + y ( subtract 2x from both sides )

xy = x + y ( subtract y from both sides )

xy - y = x ← factor out y from each term on the left side )

y(x - 1) = x ← divide both sides by (x - 1)

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Evaluate the function f(x) at the given numbers (correct to six decimal places).
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Answer:

The values of given function are shown in the below table.

Step-by-step explanation:

The given function is

f(x)=\frac{x^2-5x}{x^2-x-20}

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f(x)=\frac{x(x-5)}{x^2-5x+4x-20}

f(x)=\frac{x(x-5)}{x(x-5)+4(x-5)}

f(x)=\frac{x(x-5)}{(x+4)(x-5)}

Cancel out the common factor.

f(x)=\frac{x}{x+4}

Substitute x=5.5 in the above equation.

f(5.5)=\frac{5.5}{5.5+4}

f(5.5)=\frac{5.5}{9.5}

f(5.5)=0.57894736842

f(5.5)\approx 0.578947

Similarly find the value for all values of x.

The values of given function are shown in the below table.

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