Simplify completely the quantity x squared plus x minus 12 over quantity x squared minus x minus 20 divided by the quantity 3 x
1 answer:
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Answer: 410 possible points
To solve for the possible points in the course, use a proportion and cross multiply.
<h2>What is a proportion?</h2>
A proportion is two fractions that are equal to each other. For the fractions to be equal, they are proportionate. In our math problem, percentage is proportionate the the number of points.
The fractions represent information you have, and one variable will represent what you are solving for.
<h2 /><h3>Given</h3>Your points = 361
Points to get an 'A' = your points + 8
'A' = 90% of possible points
<h3>Find the points needed for an 'A' at 90%</h3>Points to get an 'A' = your points + 8
= 361 + 8
= 369
<h3>State variables</h3>let <em>x</em> be the amount of possible points
<h3 /><h3>Write a proportion</h3>We know the number of points for 90% is 369 points. Remember that 90% is the same as 90/100.
Keep the information with the same units inside the same fraction. Here, percentage is represented by the first fraction. Points is represented by the second fraction.
We can solve using cross multiplication. This is when we multiply each numerator by the denominator from the other fraction.
Simplify by multiplying.
Isolate the variable <em>x</em>.
Divide both sides by 90 to cancel out 90 on the left.
Divide.
Solved for <em>x</em>, representing the possible points.
∴ The possible points in the art course is 410.
Learn more about finding a missing number given percentage here: brainly.com/question/26535441
Answer:
x = -3,
Step-by-step explanation:
The given quadratic equation is:
This can be written as:
To solve a quadratic equation of the form we use the formula:
Here, a = 2; b = 3; c = - 9
Therefore, the roots of the equation are:
We get two values of 'x', viz.,
x = and
⇒ x = -3, 3/2
Since the factors of the quadratic equation is asked, we write it as:
(x + 3)(x - ) = 0
because, if (x - a)(x - b) are the factors of a quadratic equation, then 'a' and 'b' are its roots.
Multiply (x + 3) and (x - to see that this indeed is the given quadratic equation.