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3 years ago

Y=2X-1 5x-4y=1 is (1,1) a solution of the system

Mathematics

1 answer:

Natasha2012 [34]3 years ago

6 0

You are given the system of equations

$\left\{\begin{array}{l}y=2x-1\\5x-4y=1.\end{array}\right.$

If you want simply to know whether (1,1) is a solution of this system, then substitute x=1 and y=1 into both equations:

$\left\{\begin{array}{l}1=2\cdot 1-1\\5\cdot 1-4\cdot 1=1\end{array}\Rightarrow \begin{array}{l}1=1\\1=1\end{array}\right.$

This means that (1,1) is a solution, because both iqualities hold.

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A circle of centre M has a radius of 11CM . if CA=16.3cm ,what is AB ? give your answer to the nearest tenth!

zhenek [66]

Answer:

16.4

Step-by-step explanation:

If it is asking for the tenth it will be the 1st one after the point and you round it to the next one.

6 0

3 years ago

F $1,000 is deposited in a certain bank account and remains in the account along with any accumulated interest, the dollar amoun

Whitepunk [10]

Answer:

(1) The annual interest rate is 10%, that is greater than 8%

(2) The annual interest is bigger than 22.47% and that is greater than 8%

Step-by-step explanation:

We have the equation:

$I=1,000((1+\frac{r}{100} )^{n} -1)$

Where I is the earns in interest, n is the number of years and r is the annual interest rate.

For the first case, we can replace I by $210 and n by 2 as:

$210=1,000((1+\frac{r}{100} )^{2} -1)$

Solving for r, we get:

$\frac{210}{1,000} = (1+\frac{r}{100})^{2} -1$

$0.21 +1 = (1+\frac{r}{100})^{2}$

$1.21 = (1+\frac{r}{100})^{2}$

$\sqrt{1.21} = 1 + \frac{r}{100}$

$\sqrt{1.21} - 1 = \frac{r}{100}$

$(\sqrt{1.21} - 1)100=r$

$10=r$

So, for the first case, the interest rate paid by the bank is 10% and it is greater than 8%

For the second case, we need to take the equation and solve for r as:

$(1+\frac{r}{100} )^{2} >1.5$

$1+\frac{r}{100} > \sqrt{1.5}$

$\frac{r}{100} > \sqrt{1.5}-1$

$r > (\sqrt{1.5}-1)*100$

$r > 22.47$

So, for the second case the rate need to be bigger than 22.47% and that is bigger than 8%

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3 years ago

Please help! This is a Algebra 1 question

HACTEHA [7]

Answer:

24 pizzas

Step-by-step explanation:

$1200/$50

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3 years ago

What is the interquartile rang of the following data set? 9,30,2,48,42,18,81,5,55,73,11

ycow [4]

30 is the real answer

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2 years ago

The daily water consumption for an Ohio community is normally distributed with a mean consumption of 519,645 gallons and a stand

Pani-rosa [81]

Answer:

0.0001

Step-by-step explanation:

The computation of the probability of experiencing such a drop in water pressure is shown below:

Given that

mean = 519,645 gallons

Standard deviation = 71,564 gallons

Now the probability is

= 1 - p (x - mean ÷ standard deviation < 782,238 - 519,645 ÷ 71,564)

= 1 - p(z<3.67)

= 1 - 0.9999

= 0.0001

7 0

3 years ago