Answer:
-9x² + 25
Step-by-step explanation:
To solve, use FOIL. FOIL:
First
Outside
Inside
Last
Solve "First":
(3x)(-3x) = -9x²
Solve "Outside":
(3x)(-5) = -15x
Solve "Inside":
(-5)(-3x) = +15x
Solve "Last":
(-5)(-5) = +25
Combine like terms:
-9x² - 15x + 15x + 25
-9x² (-15x + 15x) + 25
-9x² + 25
-9x² + 25 is your answer.
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Let's call the two numbers x and y. We can write a system of equations to describe the situation:
5x = 8y
x - y = 150
Let's solve the first equation for x:
x = 8y/5
Now we can use substitution to solve the system by plugging 8y/5 in for x in the second equation:
(8y/5) - y = 150
Simplify:
3y/5 = 150
3y = 750
y = 250
If y = 250, then x is:
x = 8(250)/5 = 400
The answer is 250 and 400.
7/15 will be the most you can simplify
Answer:
To ensure uniformity on an exam
Or
To test whether you can distinguish between the two formats
Step-by-step explanation:
Standard form is when a straight line equation is rearranged in the form:
Therefore y=2x+4 in standard form is
The slope-intercept form is when a a straight line equation is written in the form:
where m is the slope and c is the y-intercept.
The given equation is
This is already in slope-intercept form:
The standard form and slope-intercept forms are just formats.
Your instructor may restrict you to leave your answer in one of these formats maybe for uniformity on a test.
You may also decide to rewrite an equation in slope-intercept form, so that you can easily identify the slope and y-intercept easily for graphing purpose.