Let's solve your equation step-by-step.<span>0=<span><span><span>13</span><span>x2</span></span>−3</span></span>Step 1: Subtract 1/3x^2 from both sides.<span><span>0−<span><span>13</span><span>x2 </span></span></span>= <span><span><span><span>13</span><span>x2</span></span>−3</span>−<span><span>13</span><span>x2</span></span></span></span><span><span><span><span>−1</span>3</span><span>x2 </span></span>= <span>−3</span></span>Step 2: Divide both sides by (-1)/3.<span><span><span><span><span>−1</span>3</span><span>x2 </span></span><span><span>− 1</span>3</span></span>=<span><span>− 3 </span><span><span>−1</span>3</span></span></span><span><span>x2 </span>= 9</span>Step 3: Take square root.<span>x=<span>±<span>√9</span></span></span><span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−3</span></span>Answer:<span><span>x=<span><span>3<span> or </span></span>x</span></span>=<span>−<span>3</span></span></span>
Using a linear function, it is found that 80 picnic tables can be produced for a total daily cost of 4,800.
<h3>What is a linear function?</h3>
A linear function is modeled by:
y = mx + b
In which:
- m is the slope, which is the rate of change, that is, by how much y changes when x changes by 1.
- b is the y-intercept, which is the value of y when x = 0, and can also be interpreted as the initial value of the function.
Considering the daily fixed cost of 1200 as the y-intercept, and the variable cost of 45 as the slope, the linear function for the cost of producing n picnic tables is given by:
C(n) = 1200 + 45n.
Now, we have to solve for n when C(n) = 4800, hence:
1200 + 45n = 4800
45n = 3600
n = 3600/45
n = 80.
More can be learned about linear functions at brainly.com/question/24808124
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Answer:
6 minutes
Step-by-step explanation:
Connor drives from the village to Belfast at an average speed of 40mph.
The distance covered is 20 miles.
Time = distance/ speed
Time = 20/40
Time = 0.5 hours
Time = 30 minutes.
Kelly drives from the village to Belfast at an average speed of 50mph.
Time = distance/speed
Time = 20/50
Time = 0.4 hours
Time = 24 minutes
It will take Conor 30 - 24 = 6 minutes longer than Kelly
Answer:
54 oz. OR 3 3/8 lbs.
Step-by-step explanation:
1) Convert pounds to ounces. There are 16 ounces in a pound. 20 * 16 = 320.
2) Add the remaining 4 ounces. 320 + 4 = 324.
3) Divide 324 by 6. 324/6 = 54.
Final answer: 54 ounces.
NOTE: If you want the answer in pounds, divide 54 by 16. 54/16 = 3 3/8
Final answer b: 3 3/8 pounds
