Answer: y = -5*x + b
Step-by-step explanation:
A line is written as:
y = a*x + b
where a is the slope and b is the y-intercept.
IIf we have a line that passes through the points (x1, y1) and (x2, y2) then the slope of the line is:
a = (y2 - y1)/(x2 - x1)
In this case we can see that the line passes through the points:
(0, 2) and (1, - 3)
Then the slope is:
a = (-3 - 2)/(1 - 0) = -5
Then our line is:
y = -5*x + b
And when x = 0, y = 2 then:
y = 2 = -5*0 + b
2 = b
Our line is:
y = -5*x + b
Answer:
d 20.4 years
Step-by-step explanation:
The equation is
A = Pe ^(rt)
We know that r = .034
We want the money to double so A = 2P
Substitute in
2P = P e ^(.034t)
Divide by P
2P/P = P/P e ^(.034t)
2 = e^ (.034t)
Take the natural log on each side
ln (2) = ln(e^ (.034t))
ln (2) = .034t
Divide by .034
ln (2) /.034 = .034t/.034
ln (2)/.034 = t
20.3867 =t
Answer:
The value of <em>x</em> is equal to 1, written as <em>x</em> = 1.
General Formulas and Concepts:
<u>Algebra I</u>
Equality Properties
- Multiplication Property of Equality
- Division Property of Equality
- Addition Property of Equality
- Subtraction Property of Equality
Terms/Coefficients
Functions
Step-by-step explanation:
<u>Step 1: Define</u>
g(x) = 5x + 4
g(x) = 9
<u>Step 2: Solve for </u><u><em>x</em></u>
- Substitute in function value: 9 = 5x + 4
- [Subtraction Property of Equality] Subtract 4 on both sides: 5 = 5x
- [Division Property of Equality] Divide 5 on both sides: 1 = x
- Rewrite: x = 1
∴ when the function g(x) equals 9, the value of <em>x</em> that makes the function true would be <em>x</em> = 1.
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Topic: Algebra I
Answer:
$144
Step-by-step explanation:
divide 272 by 17 and then multiply that answer by 9
272/17 is 16
so 16 dollars an hour
multiply that by 9
you get 144
