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lara31 [8.8K]
4 years ago
6

A line passes through the points (0, -2) and (0, 5). Is it possible to write an equation of the line in slope-intercept form? ju

stify your answer
Mathematics
1 answer:
Feliz [49]4 years ago
7 0
Consider what the slope of this line would be. Slope is rise/run; this line rises 7 (5 - (-2)) and runs 0 (0 - 0). This means that the slope would be 7/0. Dividing by zero is not possible, therefore, it cannot be written in slope-intercept form. 
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If f(x)=logx, explain the transformation that occurs when f(0.25(x-5))+3
nevsk [136]

Answer:

First, let's explain the transformations in a general way:

Vertical shift.

If we have a function f(x), a vertical shift of N units is written as:

g(x) = f(x) + N

This will move the graph of f(x) up or down a distance of N units.

if N is positive, then the shift is upwards

if N is negative, then the shift is downwards.

Horizontal shift.

If we have a function f(x), a horizontal shift of N units is written as:

g(x) = f(x + N)

This will move the graph of f(x) to the right or left a distance of N units.

if N is positive, then the shift is to the left

if N is negative, then the shift is to the right.

Horizontal dilation/contraction.

For a function f(x), an horizontal contraction dilation is written as:

g(x) = f(k*x)

where:

k is called the "scale factor"

If k < 1, then the graph "dilates" horizontally.

if k > 1, then the graph "contracts" horizontally.

Now, in this problem we have:

f(x) = log(x)

And the transformed function is:

g(x) = f(0.25*(x - 5)) + 3

Then, the transformations that take place here are, in order:

Vertical shift of 3 units up:

g(x) = f(x) + 3.

Horizontal shift of 5 units to the right:

g(x) = f(x - 5) + 3

Horizontal dilation of scale factor 0.25

g(x) = f( 0.25*(x - 5)) + 3

replacing f(x) by log(x) we have

g(x) = log(0.25*(x - 5)) + 3.

6 0
3 years ago
A linear function has a slope of -7/9 and ay-intercept of 3. How does this function compare to the linear function that is
dusya [7]

Answer:

same slope and same y intercept

Step-by-step explanation:

y + 11 = -7/9 (x - 18)

y + 11 = -7/9x + 14

y = -7/9x + 3

3 0
4 years ago
Which of the binomials below is a factor of this trinomial ? X^2 + x + 12
PolarNik [594]
That trinomial can't be factored. You would have to complete the square to factor it and even then your answer would be an imaginary number. 

x² + x + 12 = 0
x² + x = - 12
x² + x + 1/4 = - 12 + 1/4
x² + x + 1/4 = - 11 3/4
x² + x + 1/4 = - 47/4

(x + 1/2)² = - 47/4 
x + 1/2 = +/- √(- 47/4) 
x + 1/2 = +/- \frac{47}{4}i

x = 1/2 +/- \frac{47}{4}i

If the constant was a negative, it would be factor-able (is that a word?). 

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AveGali [126]
I cannot see the column please text me
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The tides are measured at a fourth location, T. The mean of the low tide values at locations P, Q, R, and T is -0.27 foot. What
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Here I found the answer here is the link for it hhthep:.!/$
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