Hello :
<span>:-8>-5x+2>-38 equiv :
-38 </span>< -5x+2 <span>< -8
let : f(x) = -5x+2..... ( graph color red)
g(x) = -38 </span>..... ( graph color pruple)<span>
h(x) = -8 ......</span> ( graph color blue)
the absolute value inequality is : ] 2, 8<span>[ ( between the graph of g and h)</span>
The first number in the ordered pair is how many you go across, second is how many you go up. Then place a dot or, technically speaking, a point.
Answer: 28 hours
Step-by-step explanation:
Hi, the cost for the trampoline park without a membership is equal to the price of the jump tickets per hour (12) multiplied by the number of hours (h).
Cost without membership= 12h
With the membership the price of each jump ticket has a 15% discount ( so, 100-15 =85% of the total price ). To calculate the cost for this case we have to add the cost of the membership 50, and multiply the cost of each jump ticket (12) by 0.85 (percentage in decimal form)
Cost with membership = 50 +12 (0.85) h
If both cost are equal:
50 +12 (0.85) h = 12 h
Solving for h
50+10.2h =12h
50= 12h-10.2h
50= 1.8h
50/1.8= h
27.78 =h
h =28 (rounded)
10^-8 because e-8 is 10^-8
Let's solve your equation step-by-step.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span>
Step 1: Simplify both sides of the equation.<span><span><span>
2/3</span><span>(<span><span>3x</span>+1</span>)</span></span>=5</span><span>
Simplify: (Show steps)</span><span><span><span>
2x</span>+<span>2/3</span></span>=5</span>
Step 2: Subtract 2/3 from both sides.<span><span><span><span>
2x</span>+<span>2/3</span></span>−<span>2/3</span></span>=<span>5−<span>2/3</span></span></span><span><span>
2x</span>=<span>13/3</span></span>
Step 3: Divide both sides by 2.<span><span><span>
2x/</span>2</span>=<span><span>13/3/</span>2</span></span><span>
x=<span>13/6</span></span>
Answer:<span>
x=<span>13/<span>6</span></span></span>