A quadratic equation has the general formula
expressed as:<span>
ax^2 + bx - c = 0
This equation can be solved by the quadratic
formula which is expressed as:
x = ( -b (+ or -) √(b^2 - 4ac) / 2a
From the given equation, </span><span> y=-0.005x^2+0.41x-5.1
</span><span>
a = -0.005
b = 0.41
c = -5.1
Using the quadratic formula and the corresponding values of the coefficient, we substitute these and obtain:
</span>x = ( -b (+ or -) √(b^2 - 4ac) / 2a
x = ( -0.41 (+ or -) √(0.41^2 - 4(-0.005)(5.1)) / 2(-0.005)
x1 =66.71
x2 = 15.29
Therefore, the quadratic equation would be factored by using the values of x we obtained as follows:
<span>y= -0.005x^2 + 0.41x - 5.1
</span>y = (x - 66.71) ( x - 15.29 )
Let's solve your equation step-by-step.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>16</span><span>(<span>a−4</span>)</span></span>=<span><span>13</span><span>(<span><span>2a</span>+4</span>)</span></span></span><span><span><span><span>(<span>16</span>)</span><span>(a)</span></span>+<span><span>(<span>16</span>)</span><span>(<span>−4</span>)</span></span></span>=<span><span><span>(<span>13</span>)</span><span>(<span>2a</span>)</span></span>+<span><span>(<span>13</span>)</span><span>(4)</span></span></span></span>(Distribute)<span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>=<span><span><span>23</span>a</span>+<span>43</span></span></span>Step 2: Subtract 2/3a from both sides.<span><span><span><span><span>16</span>a</span>+<span><span>−2</span>3</span></span>−<span><span>23</span>a</span></span>=<span><span><span><span>23</span>a</span>+<span>43</span></span>−<span><span>23</span>a</span></span></span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>=<span>43</span></span>Step 3: Add 2/3 to both sides.<span><span><span><span><span><span>−1</span>2</span>a</span>+<span><span>−2</span>3</span></span>+<span>23</span></span>=<span><span>43</span>+<span>23</span></span></span><span><span><span><span>−1</span>2</span>a</span>=2</span>Step 4: Multiply both sides by 2/(-1).<span><span><span>(<span>2<span>−1</span></span>)</span>*<span>(<span><span><span>−1</span>2</span>a</span>)</span></span>=<span><span>(<span>2<span>−1</span></span>)</span>*<span>(2)</span></span></span><span>a=<span>−4</span></span>
Answer:
yes 9 bigger than the other one
Answer:
Step-by-step explanation:
Gary need 60 dollars, but he saved only 45%
60*(45/100)=27
he saved only 27 dollars
Answer:
(5, 4)
Step-by-step explanation:
The equation can be written in vertex form by adding and subtracting 25:
y = -(x^2 -10x +25) -21 +25
y = -(x -5)^2 +4
Then the vertex can be identified as (5, 4).
