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2 years ago

Usesolve the given system of two equations in two unknowns. Check your answers.

Mathematics

1 answer:

Maksim231197 [3]2 years ago

6 0

Answer:

(1,4)

x= 1

y= 4

(I checked on desmos and this is correct)

Step-by-step explanation:

I'm going to solve this by substitution

To do this we need to get a variable by istelf in any equation

We'll start with 18x-2y=10

We can add 2y and divide by 2 to get

y=9x-5

This is what y will equal for now and we can plug this in for y in the second equation

3x+16(9x-5)=67

This is rather easy to solve

147x-80=67

147x=147

this means that x=1

We can then use this value for x and plug it into any equation

let's just do the first one

18*1-2y=10

This is easy to solve as well and you should get

-2y=-8

y=4

this means that x=1

y=4

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Solve the absolute value equation. |9x-3|=12

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Answer:

9 ×3 = 27 .......

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3 years ago

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Arrange the systems of equations that have a single solution in increasing order of the x-values in their solutions. 2x + y = 10

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Answer: 4,0,2

Step-by-step explanation:

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2 years ago

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What 2 numbers can you add up to get 24 and multiply to get -25?

coldgirl [10]

If you would like to find 2 numbers which you can add up to get 24 and multiply to get -25, you can calculate this using the following steps:

a + b = 24 ... b = 24 - a
a * b = -25 ... a * (24 - a) = -25 ... 24 * a - a^2 = -25 ... 0 = a^2 - 24 * a - 25
0 = (a - 25) * (a + 1)
1. a = 25
2. a = -1

b = 24 - a
1. b = 24 - 25 = -1
2. b = 24 - (-1) = 25

The numbers you are looking for are -1 and 25.

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3 years ago

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The manager of a local nightclub has recently surveyed a random sample of 280 customers of the club. She would now like to deter

Lunna [17]

Answer:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

Step-by-step explanation:

We have the following info given:

$\bar X = 35.6$ represent the sampel mean for the age of customers

$\sigma = 5$ represent the population standard deviation

$n = 280$ represent the sample size selected

We want to test if the mean age of her customers is over 35 so then the system of hypothesis for this case are:

Null hypothesis: $\mu \leq 35$

Alternative hypothesis $\mu >35$

The statistic for this case is given by:

$z = \frac{\bar X -\mu}{\frac{\sigma}{\sqrt{n}}}$

And replacing the data given we got:

$z = \frac{35.6-35}{\frac{5}{\sqrt{280}}}= 2.007$

We can calculate the p value since we are conducting a right tailed test like this:

$p_v = P(z>2.007) = 0.0224$

Since the p value is lower than the significance level given of 0.05 we have enough evidence to reject the null hypothesis on this case. And the best conclusion for this case is:

We (reject) the null hypothesis. That means that we (found) evidence to support the alternative.

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3 years ago

A cubic box is completely filled with 2,179 g of water. What is the length of one side of the box, in meters? m Explain your rea

Mazyrski [523]

Answer:

$l\approx 1.296\,cm$

Step-by-step explanation:

The water density is approximately 1 gram per cubic centimeter, which means that 1 gram of water occupies a volume of a cubic centimeter. Hence, 2.179 grams occupies a volume of 2.179 cubic centimeters.

Let assume volume occupied by the water has a cube-like shape, whose side has the following measure:

$l = \sqrt[3]{2.179\,m^{3}}$

$l\approx 1.296\,cm$

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3 years ago