<span><span>13−<span>6x</span></span>=<span><span><span>(<span><span>2x</span>−5</span>)</span>2</span>+3</span></span>Step 1: Simplify both sides of the equation.<span><span><span>−<span>6x</span></span>+13</span>=<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span></span>Step 2: Subtract 4x^2-20x+28 from both sides.<span><span><span><span>−<span>6x</span></span>+13</span>−<span>(<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>)</span></span>=<span><span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>−<span>(<span><span><span>4<span>x2</span></span>−<span>20x</span></span>+28</span>)</span></span></span><span><span><span><span>−<span>4<span>x2</span></span></span>+<span>14x</span></span>−15</span>=0</span>Step 3: Use quadratic formula with a=-4, b=14, c=-15.<span>x=<span><span><span>−b</span>±<span>√<span><span>b2</span>−<span><span>4a</span>c</span></span></span></span><span>2a</span></span></span><span>x=<span><span><span>−<span>(14)</span></span>±<span>√<span><span><span>(14)</span>2</span>−<span><span>4<span>(<span>−4</span>)</span></span><span>(<span>−15</span>)</span></span></span></span></span><span>2<span>(<span>−4</span>)</span></span></span></span><span>x=<span><span><span>−14</span>±<span>√<span>−44</span></span></span><span>−<span>8</span></span></span></span>
Answer:
2min per lap
Step-by-step explanation:
Answer:
Neither
Step-by-step explanation:
First, you need to put your equations in y=mx+b form
Your first equation...
5x + 4y = 3
4y = 3-5x
y = -5/4x + 3/4
Your second equation...
5x-4y = -3
-4y = -5x -3
y = 5/4x + 3/4
The slopes aren't the same and are not reciprocals, so the answer would be neither.
Answer:
1). 9 red 6 fancy 2). 50 shirts 20 pants 3). 62 purple 31 red 4). 19 dimes 9 quarters
Step-by-step explanation:
Most are systems of equations. So, they will have more than one equation.
1). x (Red wrapping paper) y (fancy print paper)
x + y = 15
2x + 4y = 42
Solved: x = 9 y = 6
2). x (shirts) y (pants)
x + y = 70
12x + 30y = 1200
Solved: x = 50 y = 20
3). x (purple) y (red)
I ended up dividing 93 by 3 and then multiplying it by 2 for purple and keeping the other third for red. Not quite sure how to fit this into an equation, its just simple math.
Solved: x = 62 y = 31
4). x (dimes) y (quarters)
.10x + .25y = 4.15
x = y - 10
Solved: x = 19 y = 9
