You would graph the equation f(x) = –x + 3 for input values less than 2. There would be an open circle at the point (2, 1) since the domain for the first piece does not include 2. You would then graph a horizontal line at f(x) = 3 for input values between 2 and 4. There would be a closed circle at (2, 3) and an open circle at (4, 3). Last, you would graph f(x) = 4 – 9x for input values greater than or equal to 4. There would be a closed circle at the point (4, –4) since 4 is in the domain of the third piece.
Answer:
Depends on what you are asking for.
Step-by-step explanation:
If want a decimal you would divide 3 by 8 to get 0.375
If you want equivalent fractions, you could multiply the numerator and the denominator by the same number.
ex: <u>3</u> (2) = <u>6</u>
4 (2) 8
Answer:
3(x + 12)(x + 2)
Step-by-step explanation:
Given
3x² + 42x + 72 ← factor out 3 from each term
= 3(x² + 14x + 24) ← factor the quadratic
Consider the factors of the constant term (+ 24) which sum to give the coefficient of the x- term.
The factors are + 12 and + 2, since
12 × 2 = 24 and 12 + 2 = 14, thus
x² + 14x + 24 = (x + 12)(x + 2) and
3x² + 42x + 72
= 3(x + 12)(x + 2) ← in factored form
Answer:
C
Step-by-step explanation:
Just did it
The answer is A. 15x+33.
Let's simplify step-by-step.<span><span>5<span>(<span><span>3x</span>+3</span>)</span></span>+18</span>Distribute:<span>=<span><span><span><span>(5)</span><span>(<span>3x</span>)</span></span>+<span><span>(5)</span><span>(3)</span></span></span>+18</span></span><span>=<span><span><span>15x</span>+15</span>+18</span></span>Combine Like Terms:<span>=<span><span><span>15x</span>+15</span>+18</span></span><span>=<span><span>(<span>15x</span>)</span>+<span>(<span>15+18</span>)</span></span></span><span>=<span><span>15x</span>+<span>33</span></span></span>
