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Nikitich [7]
3 years ago
7

Solve each system by graphing. y=x2−5x−4 y=−2x

Mathematics
1 answer:
Greeley [361]3 years ago
4 0

Answer:

(-1,2) and (4,-8)

Step-by-step explanation:

You graph it!

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Estimate the product of 79.623 times 4.83
r-ruslan [8.4K]
It would be 384.58, or 384.57909
4 0
3 years ago
Expand the binomial (2x^2+y^2)^4
alukav5142 [94]
I think is
4 x + 2y
256x + 16y
4 0
3 years ago
An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000,
Fynjy0 [20]

Answer:

C. $118,000 and $110,000, respectively.

Step-by-step explanation:

Please consider the complete question.

An automobile firm wants to purchase either machine A or machine B. The intial cost of machines A and B are $40,000 and $50,000, respectively. The power consumption per year of machines A and B are 120 MWh and 100 MWh, respectively. The power cost is $40/MWh. The estimated operating and maintenance cost over 10 years is $30,000 for machine A and $20,000 for machine B.

First of all, we will find the amount spent on power consumption for 10 years by each machine as:

\text{Machine A}=10\cdot 120(\$40)\\\text{Machine A}=\$48,000

\text{Machine B}=10\cdot \$100(\$40)\\\text{Machine A}=\$40,000

Now, we will find overall cost of machines A and B by adding initial cost, power consumption for 10 years and maintenance cost as:

\text{Overall cost of machine A}=\$40,000+\$48,000+\$30,000

\text{Overall cost of machine A}=\$118,000

\text{Overall cost of machine B}=\$50,000+\$40,000+\$20,000

\text{Overall cost of machine B}=\$110,000

Therefore, the overall cost of machines A and B are $118,000 and $110,000, respectively and option C is the correct choice.

6 0
3 years ago
Y is directly proportional to square root of x<br> If y=56 when x=49 find,<br> y when x=81
STALIN [3.7K]

\qquad \qquad \textit{direct proportional variation} \\\\ \textit{\underline{y} varies directly with \underline{x}}\qquad \qquad \stackrel{\textit{constant of variation}}{y=\stackrel{\downarrow }{k}x~\hfill } \\\\ \textit{\underline{x} varies directly with }\underline{z^5}\qquad \qquad \stackrel{\textit{constant of variation}}{x=\stackrel{\downarrow }{k}z^5~\hfill } \\\\[-0.35em] \rule{34em}{0.25pt}

\stackrel{\begin{array}{llll} \textit{"y" directly}\\ \textit{proportional to }\sqrt{x} \end{array}}{y = k\sqrt{x}}\qquad \textit{we know that} \begin{cases} y = 56\\ x = 49 \end{cases}\implies 56=k\sqrt{49} \\\\\\ 56=7k\implies \cfrac{56}{7}=k\implies 8=k~\hfill \boxed{y=8\sqrt{x}} \\\\\\ \textit{when x = 81, what is "y"?}\hfill y=8\sqrt{81}\implies y=8(9)\implies y=72

7 0
2 years ago
A suit costs $95. Barry has a discount coupon for 10% off and the city has a 4.5% sales tax. What is the final cost of the suit?
seropon [69]
So first you need to do the discount

(95)(0.9) = 85.5

then add the 4.5% sales tax:

(85.5)(1.045) = $89.35
7 0
4 years ago
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