9514 1404 393
Answer:
22.5
Step-by-step explanation:
The average rate of change on the interval [a, b] is the ratio ...
(f(b) -f(x))/(b -a)
For your function and interval, it is ...
(f(0.5) -f(0))/(0.5 -0)
Since f(0) = 0, this reduces to ...
average rate of change = 2·f(0.5) = 2(5(0.5)² +20(0.5)) = 2(5/4 +10)
average rate of change = 22.5
Let's solve your equation step-by-step.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Step 1: Simplify both sides of the equation.<span><span><span>3<span>(<span><span>2x</span>−1</span>)</span></span>+<span>5<span>(<span>x−3</span>)</span></span></span>=<span><span>4x</span>+7</span></span>Simplify:<span><span><span>11x</span>−18</span>=<span><span>4x</span>+7</span></span>Step 2: Subtract 4x from both sides.<span><span><span><span>11x</span>−18</span>−<span>4x</span></span>=<span><span><span>4x</span>+7</span>−<span>4x</span></span></span><span><span><span>7x</span>−18</span>=7</span>Step 3: Add 18 to both sides.<span><span><span><span>7x</span>−18</span>+18</span>=<span>7+18</span></span><span><span>7x</span>=25</span>Step 4: Divide both sides by 7.<span><span><span>7x</span>7</span>=<span>257</span></span><span>x=<span>257</span></span>Answer:<span>x=<span><span>257
</span>
</span></span>Let's solve your equation step-by-step.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Step 1: Simplify both sides of the equation.<span><span><span>5−x</span>−<span>(<span><span>2x</span>+3</span>)</span></span>=<span>3+<span>8x</span></span></span>Simplify:<span><span><span>−<span>3x</span></span>+2</span>=<span><span>8x</span>+3</span></span>Step 2: Subtract 8x from both sides.<span><span><span><span>−<span>3x</span></span>+2</span>−<span>8x</span></span>=<span><span><span>8x</span>+3</span>−<span>8x</span></span></span><span><span><span>−<span>11x</span></span>+2</span>=3</span>Step 3: Subtract 2 from both sides.<span><span><span><span>−<span>11x</span></span>+2</span>−2</span>=<span>3−2</span></span><span><span>−<span>11x</span></span>=1</span>Step 4: Divide both sides by -11.<span><span><span>−<span>11x</span></span><span>−11</span></span>=<span>1<span>−11</span></span></span><span>x=<span><span>−1</span>11</span></span>Answer:<span>x=<span><span>−1</span>11</span></span>
<span>Espero que esto ayude</span>
Answer:
4l of icecream
Step-by-step explanation:
10÷3=3.33
12÷4=3
Step-by-step explanation:
The general equation is y = mx + c...
The given equation is 2x + y = 6
Firstly, move everything on the left except the y to the right.i.e.
y = 6 - 2x
Secondly, rearrange the values on the right to look just like the general equation.
y = -2x + 6
The equation is now in proper general form because it matches the format laid down.
