Answer:
5 hours
Step-by-step explanation:
you would so 100 minus 25 (25 is just one charge fee) which is 75 then divide 75 into 15 which is the hourly pay, and get 5 which is the hours he must work
<span>ds=<span>√<span>1+<span><span>(<span><span>dy</span><span>dx</span></span>)</span>2</span></span></span><span>dx</span>=<span>√<span>1+<span>14</span><span>(<span>x4</span>−2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span></span>
<span>=<span>√<span><span>14</span><span>(<span>x4</span>+2+<span>1<span>x4</span></span>)</span></span></span><span>dx</span>=<span>√<span><span>1<span>22</span></span><span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span>2</span></span></span><span>dx</span></span>
<span>=<span>12</span><span>(<span>x2</span>+<span>1<span>x2</span></span>)</span><span>d<span>x</span></span></span>
Answer:
The demabd function is:
![q(p)= -4500p+18000](https://tex.z-dn.net/?f=q%28p%29%3D%20-4500p%2B18000)
Step-by-step explanation:
The demand follow the linear equation ![q(p)=mp+b](https://tex.z-dn.net/?f=q%28p%29%3Dmp%2Bb)
1. When p=$2.00 and q=9000, the equation is:
![9000=m(2.00)+b (1)](https://tex.z-dn.net/?f=9000%3Dm%282.00%29%2Bb%20%20%20%20%20%281%29)
2. Whe p=$4.00 and q=0, the equation is:
![0=m(4.00)+b (2)](https://tex.z-dn.net/?f=0%3Dm%284.00%29%2Bb%20%20%282%29)
3. Solve equation (1) for b:
![9000=2m+b\\9000-2m=2m+2m+b\\9000-2m=b](https://tex.z-dn.net/?f=9000%3D2m%2Bb%5C%5C9000-2m%3D2m%2B2m%2Bb%5C%5C9000-2m%3Db)
4. Replace the value of b in equation (2)
![0=4m+b\\0=4m+9000-2m\\0=2m+9000\\0-9000=2m+9000-9000\\-9000=2m\\\frac{-9000}{2m}=\frac{2m}{2m}\\ -4500=m](https://tex.z-dn.net/?f=0%3D4m%2Bb%5C%5C0%3D4m%2B9000-2m%5C%5C0%3D2m%2B9000%5C%5C0-9000%3D2m%2B9000-9000%5C%5C-9000%3D2m%5C%5C%5Cfrac%7B-9000%7D%7B2m%7D%3D%5Cfrac%7B2m%7D%7B2m%7D%5C%5C%20-4500%3Dm)
The value of m is 4500
5. Calculate b, replacing m:
![0=4m+b\\\\0=4(-4500)+b\\0=-18000+b\\18000=b](https://tex.z-dn.net/?f=0%3D4m%2Bb%5C%5C%5C%5C0%3D4%28-4500%29%2Bb%5C%5C0%3D-18000%2Bb%5C%5C18000%3Db)
The value of b is 18000
A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms. This can be obtained by understanding what like radicals are.
<h3>Which sets of the radical expressions listed could be considered like terms as written?</h3>
- Radical expression: Radical expression is an equation that has a variable in a radicand (expression under the root) or has a variable with a rational exponent.
For example, √128, √16
- Like radicals: Radicals that have the same root number and radicand (expression under the root)
For example, 2√x and 5√x are like terms.
Here in the question radical expressions are given,
By definition of like radicals we get that 5∛2x and -3∛2x are like terms since root number and radicand are same, that is, root number is 3 and radicand is 2x.
Hence A and D , that is, 5∛2x and -3∛2x are sets of the radical expressions listed that could be considered like terms.
Learn more about radicals here:
brainly.com/question/16181471
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