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Nikolay [14]
3 years ago
12

Write the standard form of the line that contains a slope of 2/3 and passes through the point (1, 1). Include your work in your

final answer. Type your answer in the box provided or use the upload option to submit your solution. Please explain how you got the answer.
Mathematics
1 answer:
Aneli [31]3 years ago
5 0
In this item, we are given with the slope, m = 2/3 and intercept of (1,1). The equation of the line that contains these properties is,

    y - y₁ = m(x - x₁)

Substituting the known values,

   y - 1 = (2/3)(x - 1)

Simplifying,

    3y - 3 = 2x - 2

Further simplifying,

<em>  2x - 3y = -1</em>
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Read 2 more answers
Find the absolute maximum and absolute minimum values of f on the given interval. f(x) = 16 + 2x − x^2, [0, 5]
RSB [31]

Answer:

<h2>absolute maximum = 16</h2><h2>absolute minimum = 1</h2>

Step-by-step explanation:

To get the absolute maximum and minimum values of the function f(x) = 16 + 2x − x² n the given interval [0,5], we need to get the values of f(x) at the end points. The end points are 0 and 5.

at x = 0;

f(0) =  16 + 2(0) − 0²

f(0) = 16

at the other end point i.e at x = 5;

f(5) =  16 + 2(5) − 5²

f(5) = 16 + 10-25

f(5)= 26-25

f(5) = 1

The absolute minimum value is 1  and  occurs at x  = 5

The absolute maximum value is 16 and  occurs at x  = 0

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3 years ago
How to find the rate in exponential growth formula A=P(1-r)^t
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A^t/P = 1-r
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r = -((A^t/P)-1)
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