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solmaris [256]
3 years ago
6

Is this true or False? (0,8) is an x-intercept. If False, provide a correction.

Mathematics
1 answer:
pav-90 [236]3 years ago
5 0

Answer:

True

Step-by-step explanation:

This is true because it crosses the x-axis. (x,y)

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Using the graph of f(x) and g(x), where g(x) = f(k⋅x), determine the value of k.
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Graph a line that contains the point (4,3) and has a slope 1/2
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Answer: The graph is attached.

Step-by-step explanation:

The equation of the line in Slope-Intercept form is:

y=mx+b

Where "m" is the slope and "b" is the y-intercept.

We can find "b" substituting the slope and coordinates of the (4,3) into thte equation  y=mx+b, and then solving for "b":

3=\frac{1}{2}(4)+b\\\\3-2=b\\\\b=1

By definition, the line intersects the x-axis when "y" is zero.

Then, we need to substitute the y-intercept and y=0 into  y=mx+b and then solve for "x" in order to find the x-intercept:

0=\frac{1}{2}x+1\\\\-1(2)=x\\\\x=-2

Knowing the x-intercept and the y-intercept, we can graph the line (The graph is attached)

6 0
3 years ago
Read 2 more answers
To begin a bacteria study, a petri dish had 2800 bacteria cells. Each hour since, the number of cells has increased by 7.2%. Let
Rudiy27
The function that models exponential growth is:

P(t) = P0*(1 + r)^t, where

P0 = P(0) is the initial value of P

r is the growth rate as a decimal

In our case we have:

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r = 0.035 or 3.5%

P(t) = 2800*(1 + 0.035)^t

P(t) = 2800*(1.035)^t

The same exponential function written using y and t is:

y = 2800*1.035^t.

Explanation: https://softmath.com/algebra-word-problems/to-begin-a-bacteria-study-a-petri-dish-had-2800-bacteria
7 0
3 years ago
Write the equation of the line.
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It would be X = 8 and since there is no slope there is no Y
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3 years ago
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