Hat is the slope of the line represented by the equation y = x – 3

Mathematics

2 answers:

Furkat [3]3 years ago

8 0

Answer: 1

Step-by-step explanation:

The equation of line in intercept form is given by :-

$y=mx+c$ , where m is the slope of the line. (1)

The given equation of the line is $y=x-3$

When we compare the given equation to the equation (1), we get

m=1

Therefore, the slope of the line $y=x-3$ is 1.

lbvjy [14]3 years ago

5 0

The slope/intercept form of a line is

y = mx + c where m = slope and c = y-intercept. Compare with given line:-

y = x - 3- we see that m = 1

Slope = 1

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Which point do the graphs of f and g have in common?

pickupchik [31]

The point that the graphs of f and g have in common are (1,0)

<h3>How to get the points?</h3>

The given functions are:

f(x) = log₂x

and

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We know that logarithm of 1 is always zero.

This means that irrespective of the base, the y-values of both functions will be equal to 0 at x=1

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1 year ago

6 labour complete a work in 12 days. How many labours should added to complete the works in 8 days?

mario62 [17]

Answer:

9 labours

Step-by-step explanation:

In order to solve this, we must know which kind of proportionality is this. There are two types of proportions, direct and indirect/inverse proportions. In direct proportion, if one quantity increases, the other quantity also increases.

In indirect proportion, if one quantity increases, the other decreases and vice versa.

As per this question, we know if the number of labour increases, the number of days to complete a work decreases, thus proving that this is an indirect/inverse proportion.

6 labours => 12 days

x labours => 8 days

Since its an inverse proprotion, multiply 6 with 12, and x with 8.

8x = 6 × 12

x = $\frac{6*12}{8}$