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kolezko [41]
3 years ago
15

Find a system of two equations in two variables, x1 and x2, that has the solution set given by the parametric representation x1

= t and x2 = 5t − 6, where t is any real number. (Enter your answer as a comma-separated list of equations.)
Mathematics
1 answer:
Crazy boy [7]3 years ago
3 0

Answer:

The required system of equations to the given parametric equations are:

5x1 - x2 = 6

x1 + x2 = -6

Step-by-step explanation:

Given the parametric equations:

x1 = t

x2 = -6 + 5t

Eliminating the parameter t, we obtain one of the equations of a system in two variables, x1 and x2 that has the solution set given by the parametric equations.

Doing that, we have:

5x1 - x2 = 6

Again a second equation can be a linear combination of x1 and x2

x1 + x2 = -6 + 6t

x1 + x2 = -6 (putting t=0)

And they are the required equations.

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Bob Sparkle is mixing up a batch of Nuclear Fizz punch. He
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Answer:

19 oz of cranberry juice

Step-by-step explanation:

32oz of water * (3 parts juice/5 parts water) = 19.2 oz of cranberry juice

Hope this helps!

Have a nice day <3

6 0
2 years ago
Heather made a total of $451.78 last month at her part-time job. If she worked 14 hours, how much did she make per hour?
Step2247 [10]
The amount of money divided by the amount of hours will give you how much money she makes per hour.

451.78/14=32.27.

She earned $32.27 per hour.
3 0
2 years ago
8 Taylor has a bag of 10 fruit loops. Five loops are red, two are yellow, and three are green. If she has a larger bag that cont
Svetllana [295]

Answer:

12

Step-by-step explanation:

There are 2 yellow out of 10.

2/10 = 1/5

1/5 of the total number is yellow.

1/5 of 60 =

= 1/5 * 60

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Answer: 12

7 0
3 years ago
The diagram shows a right-angled triangle.
Margarita [4]
1/sin(38)*7=11.4
Hope it helps
6 0
3 years ago
Please explain every step
pogonyaev
<h3>Answer:</h3>

761680

<h3>Explanation:</h3>

\sf \boxed{\sum _{n=1}^{44}\:60\left(1.2\right)^{n-2}}

<u>Identify the following's</u>:

First Term [a]  =  60(1.2)ⁿ⁻² = 60(1.2)¹⁻² = 50

Common ratio [r]  =  1.2

Total Terms [n] =  44

===========================

\sf Geometric \ Sum \ of  \ Terms = \dfrac{a(r^n - 1)}{r-1}

===========================

Solving Steps:

<em />\rightarrow \sf \dfrac{a(r^n - 1)}{r-1}<em />

<em />

<em />\rightarrow \sf \dfrac{50(1.2^{44} - 1)}{1.2-1}<em />

<em />

<em />\rightarrow \sf 761679.5808<em />

<em />

\rightarrow \sf 761680 \ \ \  (rounded \ to \ nearest \ integer)

8 0
2 years ago
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