Classify the system and identify the number of solutions.2x + y + 5z = 4
3x − 2y + 2z = 2
5x − 8y − 4z = 1

Answers

Answer 1

Answer:

Answer:

No solutions

Step-by-step explanation:

We need to eliminate one of the variables to solve the system. To do so, let's multiply the first equation by 8, the second equation by 4

2x + y + 5z = 4 (1) x 8
3x − 2y + 2z = 2 (2) x 4
5x − 8y − 4z = 1 (3)

The system becomes:

16x + 8y + 40z = 32 (1)
12x - 8y + 8z = 8 (2)
5x - 8y - 4z = 1 (3)

Add (1) and (2), subtract (3) from (2) to eliminate y

28x + 48z = 40 (4)
7x + 12z = 7 (5)

Then multiply the equation (5) by 4 to compare with(4)

28x + 48z = 28

Comparing the equations (4) and (5) we see it has no solutions as both variables have same coefficient but with different sum, 28≠40

Answer 2

Answer:

inconsistent; none

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Write a number that has a hundreds digit that is greater than its tens digit

Answers

210, 310, 320, 410, 420, etc.

PLZ HURRY IT'S URGENT!!!!!!What is 0.019 written as a percent? A. 0.00019% B. 0.019% C. 0.19% D. 1.9%

Answers

0.019 written as a percentage is 1.9%

Andrea and her partner and writing a 12-page science report. They completed 25% of the report in class and 50% of the remaining pages after school. how many pages do Andrea and her partner still have to write?possible answers are 3.5, 4.5, 6, and 9.

Answers

it can't be six because half of twelve is six and you've completed %75 so its 4.5

Given that (4p-5q)/(6p+q) = 1/4 , find the value of 2p : 7q in its lowest term.

Answers

Start from

$\cfrac{4p-5q}{6p+q} = \cfrac{1}{4}$

and cross multiply the denominators (i.e. multiply both sides by $4(6p+q)$

The result is

$4(4p-5q) = 6p+q$

Expand the left hand side:

$16p-20q = 6p+q$

Bring all terms involving p to the left, and all terms involving q to the right:

$16p-6p = 20q+q \implies 10p=21q$

Divide both sides by 21q:

$\cfrac{10p}{21q} = 1$

Now we have a ratio between multiples of p and q. It's not exactly the one we want, though. Nevertheless, we can keep multiplying both sides by approriate constants in order to get the ratio we want:

Divide both sides by 5:

$\cfrac{2p}{21q} = \cfrac{1}{5}$

Multiply both sides by 3:

$\cfrac{2p}{7q} = \cfrac{3}{5}$

Graph f(x) = (1/3)^x+1

Answers

Answer:

The graph is attached below.

Step-by-step explanation:

Given the function

$f\left(x\right)\:=\:\left(1/3\right)^x+1$

Exponentiation function have a horizontal Asymptotes.

Finding the horizontal Asymptotes

$\mathrm{Exponential\:function\:of\:the\:form}\:f\left(x\right)\:=c\cdot \:n^(ax+b)+k\:$

$\mathrm{has\:a\:horizontal\:asymptote}\:y=k\:$

$k=1$

$\mathrm{The\:horizontal\:asymptote\:is:}$

$y=1$

Finding y-intercepts

$y\mathrm{-intercept\:is\:the\:point\:on\:the\:graph\:where\:}x=0$

$y=\left((1)/(3)\right)^0+1$

$\mathrm{Apply\:rule}\:a^0=1,\:a\ne \:0$

$\left((1)/(3)\right)^0=1$

$y=1+1$

$\mathrm{Add\:the\:numbers:}\:1+1=2$

$y=2$

$\mathrm{Y\:Intercepts}:\:\left(0,\:2\right)$

The graph is attached below.

Elena works out on a treadmill. She uses a program that combines running and walking. She knows that she runs at 0.2 miles per minute and she walks at 0.1 miles per minute. At the end of her workout, the treadmill showed her workout distance was 8 miles.