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3 years ago

Please help me with my Algebra homework!!!

Mathematics

1 answer:

balu736 [363]3 years ago

7 0

Answer:

B) No Unique Solutions

Step-by-step explanation:

Given:

$z=x+5y-14$

$-2y=-4\\y={-4}{-2}=2$

$3x+y-3z=14$

now we now the value of y = 2 so we will substitute in equation $z=x+5y-14$

$z=x+5\times2-14\\z=x+10-14\\z= x-4$

Now, We have value of y=2 and value of $z=x-4$ Substituting in both the value in equation $3x+y-3z=14$

$3x+2-3(x-4)=14\\3x+2-3x+12=14\\14=14$

which means that the equation has Infinite solutions.

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The length of a rectangular garden is three feet less than twice it’s width. If the perimeter of the garden is 42 feet, what is

Masja [62]

Answer:

The length of a rectangular garden is: 13 feet

Step-by-step explanation:

You have 2 lengths that are 2x-3 feet, and 2 widths that are x.

2x-3 + 2x-3 +x +x =42 feet

4x -6 +2x -42 feet

6x -6 = 42 feet

6x = 48 feet

x = 8 feet (so, 2x-3 = 16-3 = 13 feet)

3 0

3 years ago

In triangle MPN, angle P is a right angle. If cos N= 3/5 which of the following statements is true

Bezzdna [24]

Answer: Sin N = $\frac{4}{5}$

Step-by-step explanation:

Since we have given that

In triangle MPN, ∠P=90°

$\cos N=\frac{3}{5}$

As we know the formula for "Trigonometric Ratios":

$\cos N=\frac{Base}{Hypotenuse}=\frac{3}{5}$

By Pythagorus theorem , we get

$H^2=B^2+P^2\\\\5^2=3^2+P^2\\\\25=9+P^2\\\\25-9=P^2\\\\16=P^2\\\\P=\sqrt{16}\\\\P=4\ units$

So, we get,

$\sin N=\frac{Perpendicular}{Hypotenuse}=\frac{4}{5}$

Hence, Sin N = $\frac{4}{5}$

3 0

3 years ago

Before changes to its management staff, an automobile assembly line operation had a scheduled mean completion time of minutes. T

Sergio [31]

No, we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

Given mean of 15.5 minutes , standard deviation of 1.7 minutes, sample size of 90 and sample mean of 15.4 minutes.

We can do the following study for conclusion:

Firstly the null hypothesis is

$H_{0}: x=15.5$

The alternate hypothesis is

$H_{1}: x < 15.5$

since the value is less than this is a one tailed test.

Z=x bar-x/d/ $\sqrt{n}$

where x is sample mean and d is standard deviation.

Z=15.4-15.5/1.7/ $\sqrt{90}$

=-0.1/1.7/9.4868

=-0.560

Critical value of Z at 0.1 level of significance

Z=-1.28

We fails to reject the null hypothesis since -0.560>-1,28

Hence we don't have evidence to support that the mean completion time under new management has decreased but we can conclude that it remains at 15.5 minutes.

Learn more about hypothesis at brainly.com/question/11555274

#SPJ4

Question is incomplete. It should include:

mean of 15.5 minutes ,

standard deviation of 1.7 minutes,

sample size of 90

and sample mean of 15.4 minutes.

5 0

1 year ago

Calculate the slope of the trend line<br> Please... :(

Ganezh [65]

Answer:

Slope is .18

Step-by-step explanation

Find two points along the line.

Calculate slope using $\frac{y2-y1}{x2-x1}$ .

I used the points (1985, .21) and (1990, .30).

7 0

3 years ago

You have been assigned 40 homework assignments this marking period. You have completed 18 of them. What percent of homework assi

djyliett [7]

Answer:

45%

Step-by-step explanation:

Simply divide your partial amount (18 in this case) by your total (40), and you then multiply your answer from 18/40= .45 by 100, and you get 45. This is 45%

4 0

3 years ago

Read 2 more answers