Use the quadratic formula to find the solutions.<span><span><span><span>−b</span>±<span>√<span><span>b2</span><span><span>−4</span><span>(<span>ac</span>)</span></span></span></span></span><span>2a</span></span><span><span><span>-b</span>±<span><span>b2</span><span><span>-4</span><span>ac</span></span></span></span><span>2a</span></span></span>Substitute the values <span><span>a=5</span><span>a=5</span></span>, <span><span>b=<span>−3</span></span><span>b=<span>-3</span></span></span>, and <span><span>c=<span>−4</span></span><span>c=<span>-4</span></span></span> into the quadratic formula and solve for <span>xx</span>.<span><span><span>3±<span>√<span><span><span>(<span>−3</span>)</span>2</span><span><span>−4</span>⋅<span>(<span>5⋅<span>−4</span></span>)</span></span></span></span></span><span>2⋅5</span></span><span><span>3±<span><span><span>-3</span>2</span><span><span>-4</span>⋅<span>5⋅<span>-4</span></span></span></span></span><span>2⋅5</span></span></span>Simplify.Tap for more steps...<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span>The result can be shown in both exact and approximate form.<span><span>x=<span><span>3±<span>√89</span></span>10</span></span><span>x=<span><span>3±89</span>10</span></span></span><span>x≈1.24339811,<span>−<span>0.64339811</span></span></span>
Answer:
x = 6
Step-by-step explanation:
3 1
- ---- = - ---- x
4 8
3 1
- ---- = - ---- x
4 2³
3 x
- ---- = - ----
4 2³
x = 6
Answer:
Step-by-step explanation:
1. 1 dozen for $1.50
y = 1.5x where x = # of dozens
2. 1 bottle for $0.16
y = 0.16x where x = # of bottles
3. 1oz for $0.12
y = 0.12x where x = # of oz
Since q+d=19, we can re-write this as d=19-q. Using the second equation 0.25q+0.1d=4 we can multiply both sides by 100. So we get 25q+10d=400. So now we can plug d=19-q into 25q+10d=400. So now we get, 25q+190-10q=400. Subtracting both sides by 190, we get 15q=210 and that q=14 plugging that in d=5