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asambeis [7]
2 years ago
7

Two mechanics worked on a car.The first mechanic charged $85 per hour, andthe second mechanic charged $70 per hour.The mechanics

worked for a combinedtotal of 20 hours, and together they charged a total of $1625.How long did each mechanic work?
Mathematics
1 answer:
KATRIN_1 [288]2 years ago
5 0
70x+85(20-x)=1625
Solve for x
X=5 for 70

X=15 for 85
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If 2y=x³ + 2x², find dy/dx when x=2.
scZoUnD [109]

Answer:

10

Step-by-step explanation:

\boxed{\textsf{If }y=x^n,\: \textsf{then }\dfrac{\text{d}y}{\text{d}x}=nx^{n-1}}

<u>Given equation</u>:

2y=x^3+2x^2

Isolate y by dividing both sides by 2:

\implies y=\dfrac{1}{2}x^3+x^2

Differentiate with respect to x:

\implies \dfrac{\text{d}y}{\text{d}x}=3 \cdot \dfrac{1}{2}x^{3-1}+2 \cdot x^{2-1}

\implies \dfrac{\text{d}y}{\text{d}x}=\dfrac{3}{2}x^2+2x

Finally, substitute x = 2 into the differentiated equation:

\begin{aligned} \implies \dfrac{\text{d}y}{\text{d}x} & =\dfrac{3}{2}(2)^2+2(2)\\\\ & = \dfrac{3}{2}(4)+4\\\\ & = \dfrac{12}{2}+4\\\\ & = 6+4\\\\ & = 10\end{aligned}

Learn more about differentiation here:

brainly.com/question/27958412

brainly.com/question/26488862

5 0
2 years ago
If Sammy sold 8 water bottles for every 3 water bottles David sold and all together they sold 110 how many did each boy sell
taurus [48]
Sammy- 80
David- 30
I got this by doing 8+3=11
110÷11=10
8×10=80
3×10=30
~JZ
<span>Hope it helps</span>
5 0
3 years ago
F(x) = x^2 - 5<br><br> g(x) = 4x - 4<br><br> Find (f-g) (5)
Verizon [17]

Hope this will help you

Have a nice day Ahead

4 0
3 years ago
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Stolb23 [73]
I believe the answer is $417.91
8 0
3 years ago
Free points!!!<br>I'm bored so enjoy.​
melamori03 [73]

Answer:

Thank you so much man!! If you need help in the future just comment on this answer and I will gladly answer!  

5 0
3 years ago
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