You can tell if the equation is linear or not if the equation makes a straight line on a graph.
Answer:
$1.11
Step-by-step explanation:
Find the price per roll by dividing the cost by the number of rolls:
9.99/9
= 1.11
So, the price per roll of toilet paper is $1.11
Answer:
11 is one of the factors! The orange divisor(s) above are the prime factors of the number 990. If we put all of it together we have the factors 2 x 3 x 3 x 5 x 11 = 990.
Step-by-step explanation:
Let's solve your equation step-by-step.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>4<span>(<span>1−x</span>)</span></span>+<span>2x</span></span>=<span>−<span>3<span>(<span>x+1</span>)</span></span></span></span><span>Simplify: (Show steps)</span><span><span><span>−<span>2x</span></span>+4</span>=<span><span>−<span>3x</span></span>−3</span></span>Step 2: Add 3x to both sides.<span><span><span><span>−<span>2x</span></span>+4</span>+<span>3x</span></span>=<span><span><span>−<span>3x</span></span>−3</span>+<span>3x</span></span></span><span><span>x+4</span>=<span>−3</span></span>Step 3: Subtract 4 from both sides.<span><span><span>x+4</span>−4</span>=<span><span>−3</span>−4</span></span><span>x=<span>−7</span></span>Answer:<span>x=<span>−<span>7</span></span></span>
Answer:
Step-by-step explanation:
a)
<u>Area of the frame with picture:</u>
- A = lw
- A₁ = (x + 4)(x + 7) = x² + 11x + 28
<u>Area of the picture:</u>
<u>Area of the wooden frame is the difference of the above values:</u>
- A₃ = A₁ - A₂
- A₃ = x² + 11x + 28 - x² - 3x
- = 8x + 28
b)
<u>When x = 5, the picture frame area is:</u>
- A₃ = 8*5 + 28 = 40 + 28 = 68 in²
