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beks73 [17]
3 years ago
14

A line passes through the points (-10, -3) and (-5, 1). What is the slope of the line?

Mathematics
1 answer:
DaniilM [7]3 years ago
5 0

Answer:

m= 4/5

Step-by-step explanation:

use the formula (y2 - y1)/ (x2 - x1)

(-10, -3) (-5, 1)

1-( -3)/-5-( -10)= 4/5

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1)The graph of the function y = 4x does not pass through the origin.
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Answer:

The correct options are:

Option B) 4^x is never zero.

Option F) When x=0, y≠0

Step-by-step explanation:

Consider the provided function.

y=4^x

When we substitute x=0 in above function we get:

y=4^{0}

y=1

When we substitute x=-1 in above function we get:

y=4^{-1}

y=0.25

When we substitute x=1 in above function we get:

y=4^{1}

y=4

The above function is exponential function which does not pass through the origin and the range of the function is a positive number.

The graph of the function is shown in figure 1.

Now consider the provided options.

Option A) 4^x is always greater than or equal to 1.

The option is incorrect as the value of the function is less than 1 for negative value of x.

Option B) 4^x is never zero

The option is correct.

Option C) When y=0, x=0

The option is incorrect.

Option D) When x=0, y=4

When x=0 the value of y is 1.

Thus, the option is incorrect.

Option E) 4^x is zero when x=0

When x=0 the value of 4^x is 1.

Thus, the option is incorrect.

Option F) When x=0, y≠0

The option is correct as 0≠1.

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Answer:

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To get the after-discount price, multiply $18 by (1.00 - 0.15), or, in other words, multiply $18 by 0.85.  The after-discount price is $15.30.

Two ways to find the discount:  one is to multiply $18 by 0.15; the other way is to subtract $15.30 from $18.

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