ANSWER WITH STEPS:
Let's solve for x.
5x−10y=−5
Step 1: Add 10y to both sides.
5x−10y+10y=−5+10y
5x=10y−5
Step 2: Divide both sides by 5.
5x
5
=
10y−5
5
x=2y−1
Answer:
5 books.
Step-by-step explanation:
She can carry 18 pounds in total. She already has her lunch and her gym clothes inside her bag, which take up 1 + 2 = 3 pounds. Since 3 pounds are taken, that leaves 18 - 3 = 15 pounds for her books. Each book is 3 pounds, so she can carry 15/3 = 5 books in her backpack.
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Question 2.2. Which ordered pairs make the inequality true?</span><span>2x + y > –4</span>The solutions are (-1, 2) and (1, -5), look at the graph in the attachment.
Question 3.3. What is the slope of the line represented by the equation?There is no equation
Question 4.4. What is the slope of the line represented by the equation 6x - 3y = 4?Convert to slope-intercept form:
6x - 3y = 4
Subtract 6x to both sides:
-3y = -6x + 4
Divide -3 to both sides:
y = -6/-3x + 4/-3
Simplify:
y = 2x - 4/3
Now it's in slope intercept form, y = mx + b, where 'm' is the slope. So the slope here is 2.
Question 5.5. What is the simplified form of the expression?15y - 3(4y + 10)
Distribute -3 into the parenthesis:
15y - 12y - 30
Combine like terms:
3y - 30
Parent function = √x
On stretching vertically by factor of 6
New function G(x) = 6√x