Help please.. Write the following inequality in slope-intercept form. 12x - 3y ≤ -21 A) y ≤ 4x - 7 B) y ≥ 4x - 7 C) y ≤ 4x + 7 D) y ≥ 4x + 7

At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get our expert's

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions.

A community for students.

Help please.. Write the following inequality in slope-intercept form. 12x - 3y ≤ -21 A) y ≤ 4x - 7 B) y ≥ 4x - 7 C) y ≤ 4x + 7 D) y ≥ 4x + 7

Mathematics
See more answers at brainly.com
At vero eos et accusamus et iusto odio dignissimos ducimus qui blanditiis praesentium voluptatum deleniti atque corrupti quos dolores et quas molestias excepturi sint occaecati cupiditate non provident, similique sunt in culpa qui officia deserunt mollitia animi, id est laborum et dolorum fuga. Et harum quidem rerum facilis est et expedita distinctio. Nam libero tempore, cum soluta nobis est eligendi optio cumque nihil impedit quo minus id quod maxime placeat facere possimus, omnis voluptas assumenda est, omnis dolor repellendus. Itaque earum rerum hic tenetur a sapiente delectus, ut aut reiciendis voluptatibus maiores alias consequatur aut perferendis doloribus asperiores repellat.

Get this expert

answer on brainly

SEE EXPERT ANSWER

Get your free account and access expert answers to this and thousands of other questions

hint: if I subtract 12x at both sides, I get: \[\Large 12x - 3y - 12x \leqslant - 21 - 12x\] please simplify
3y & -9
no, I get this: \[\Large - 3y \leqslant - 21 - 12x\]

Not the answer you are looking for?

Search for more explanations.

Ask your own question

Other answers:

Oh -3y and then 21-12x= -9?
then I divide both sides by -3. In doing that our inequality change its direction, because -3 is a negative number. So we can write this: \[\Large y \geqslant \frac{{ - 21 - 12x}}{{ - 3}}\] please simplify again
so we don't solve for -21-12x?
@proud_yemeniah_ What is 5 books - 3 books? You have 5 books and you take away 3 books. What is that equal to?
2
are you sure? @proud_yemeniah_
It is 2 books. Since 5 books and 3 books are different amounts of the same type of thing (books) you can subtract 3 books from 5 books.
@proud_yemeniah_ What is 5 books - 2 dogs?
Lol u can't subtract dogs from books
5 books - 2 dogs cannot be simplified further since books and dogs are completely different things. They cannot be combined together, so 5 books - 3 dogs is simply 5 books - 3 dogs. This is the same with -21 and - 21x A plain number like -21 is just a plain number. The term -21x means -21 times x. x is a variable that stands for a number, but we don't know now what number it is. You cannot combine -21 and -12x, just like you cannot combine books and dogs. Just like books and dogs are "unlike terms", so -21 and -12x are unlike terms. Unlike terms cannot be combined together using addition or subtraction.
You probably have had problems in which you need to combine like terms. Like terms are terms that have exactly the same variables and the same exponents. Those terms can be added and subtracted. Unlike terms, with different variables, cannot be added or subtracted.
Oh okay, I get it.. it makes sense now
Great. Let's take your problem from the beginning.
The slope-intercept form of the equation of a line is: \(\Large y = mx + b\) You were given an inequality, and you are asked to write it in slope-intercept form. That is the same as asking to solve the inequality for y.
\(\large 12x - 3y \le -21\) We want only y on the left side. The first step is to subtract 12x from both sides. This is what @Michele_Laino did above. \(\large 12x -12x - 3y \le -12x -21\) We combine like terms on the left side: 12x - 12x = 0, so we get: \(\large -3y \le -12x - 21\) We can't do anything on the right side since the terms on the right side are unlike terms (remember books and dogs).
On the left side we have -3y, but we want just y. Since the -3 is multiplying the y, we need to divide both sides by -3. The rule in an inequality is that when we multiply or divide both sides by a negative number, the inequality sign changes direction. \(\large \dfrac{-3y}{-3} \ge \dfrac{-12x}{-3} - \dfrac{21}{-3} \)
Now we do all the divisions by -3 being careful with the signs. \(\large y \ge 4x + 7\)

Not the answer you are looking for?

Search for more explanations.

Ask your own question