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3 years ago

Find the solution to the equations. 3x - y = -4 X + y = 0

Mathematics

2 answers:

adell [148]3 years ago

6 0

Answer:

Both the lines shown by above two equations have same slope = 3 i.e. the lines are parallel to each other i.e. they don't intersect each other hence the given system of linear equations has no solution .

Step-by-step explanation:

Zepler [3.9K]3 years ago

5 0

Answer:

x = -1; y = 1

Step-by-step explanation:

3x - y = -4

x + y = 0

Since you have -y and +y in the two equations, you can add them and eliminate y.

Add the equations.

4x = -4

x = -1

Now substitute -1 for x in the second equation and solve for y.

-1 + y = 0

y = 1

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The length of a rectangle is 59 inches greater than twice the width. If the diagonal is 2 inches more than the length, find the

melamori03 [73]

The question is asking us to find the dimensions of the rectangle, which would be the length and width. So, to find this, we must first state our givens, as it is Geometry.
Given: Length of rectangle = 59 + twice the width, diagonal = 2 inches longer than the width

Let's first translate all our givens to numbers. We'll start off by assigning variables that are easy to work with (x, y and z).
x = width
y = length
z = diagonal
Now that we have done that, we need to translate all our givens into numbers. Here is how that would look like:
y = 2x + 59 ←59 plus twice the width (x)
z = y + 2 ←Diagonal = 2 inches more than width
If we draw a diagram, we can see that the diagonal, length, and width all create a right triangle, which means that we can use the Pythagorean Theorem. By using right triangle postulates and theorems, we can deduce that the diagonal is the hypotenuse. Here is what our setup looks like:
x² + y² = z²
<em />Now, all we need to do is plug in the expressions we created for y and z:
x² + (2x + 59)² = [2 + (2x + 59)²]
When we solve for x, we get x = 20. Now, we just plug the x value back into the y equation to get 99. Therefore, the length equals 99 inches and the width equals 20 inches. Hope this helps and have a great day!

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3 years ago

Drop your insta i dont know what to put they asked for 20 or more so this should work

zlopas [31]

Answer:

underated.jay

Step-by-step explanation:

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2 years ago

What might your scatter plot depict

dimulka [17.4K]

Answer:

It is supposed to predict the points, or the correlational relationship between variables.

Step-by-step explanation:

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2 years ago

At Friday's football game, 1,294 tickets were sold for a total amount of $8,816.00. If each student ticket costs $5.00, and each

NeTakaya

Answer:

512 student tickets.

Step-by-step explanation:

Let x be number of student tickets and y be number of adult tickets.

We have been given that at Friday's football game 1,294 tickets were sold. We can represent this information as:

$x+y=1294...(1)$

We are also told that each student ticket costs $5.00, and each adult ticket costs $8.00 and 1,294 tickets were sold for a total amount of $8,816. We can represent this information as:

$5x+8y=8,816...(2)$

From equation (1) we will get,

$y=1294-x$

Substituting this value in equation (2) we will get,

$5x+8(1294-x)=8,816$

$5x+10352-8x=8,816$

$-3x+10352=8,816$

$-3x=8,816-10352$

$-3x=-1536$

$x=\frac{-1536}{-3}$

$x=512$

Therefore, 512 student tickets were purchased at Fridays football game.

6 0

2 years ago

A pizza chain plans to locate a new pizza franchise on the CCSU campus if the results of a survey show that more than 10% of CCS

kari74 [83]

Answer:

a) Null and alternative hypothesis:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

b) A Type I error is made when a true null hypothesis is rejected. In this case, it would mean a conclusion that the proportion is significantly bigger than 10%, when in fact it is not.

c) The consequences would be that they would be more optimistic than they should about the result of the investment, expecting a proportion of students that is bigger than the true population proportion.

d) A Type II error is made when a false null hypothesis is failed to be rejected. This would mean that, although the proportion is significantly bigger than 10%, there is no enough evidence and it is concluded erroneously that the proportion is not significantly bigger than 10%

e) The consequences would be that the investment may not be made, even when the results would have been more positive than expected from the conclusion of the hypothesis test.

Step-by-step explanation:

a) The hypothesis should be carried to test if the proportion of students that would eat there at least once a week is significantly higher than 10%.

Then, the alternative or spectulative hypothesis will state this claim: that the population proportion is significantly bigger than 10%.

On the contrary, the null hypothesis will state that this proportion is not significantly higher than 10%.

This can be written as:

$H_0: \pi=0.1\\\\H_a:\pi>0.1$

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2 years ago