3y - 5z = -23

1 answer:

8 0

Starting off, we can multiply the third equation by 2 and add it to the third to get rid of both the x and y variables. Next, we get z=1. Plugging that into 3y-5z=-23, we get 3y-5=-23. Adding 5 to both sides, we get 3y=-18. After that, we can divide both sides by 3 to get y=-6. Plugging that into -2x-y-z=-3, we get -2x+6-1=-3=-2x+5. Subtracting 5x from both sides, we get -2x=-8. After that, we can divide both sides by -2 to get x=4.

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Answer:

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Step-by-step explanation:

Part A:

First, write it out in the full form.

#1 (.75 litres of blackberry juice + .60 litres of blueberry juice + .25 litres of guava juice) - .20 litres drank = 1.4 litres of juice remaining in the jar

Part B:

Removing the wordy descriptions from the expression, we get the following:

#2 (.75 + .60 +.25) - .20

or, by adding the numbers in the parentheses first:

#3 (1.60) - .20 = 1.40

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The order of operations was used in moving from step #2 to step #3, as operations within the parentheses were conducted before subtracting the .20 litres of juice which were drank.

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kotykmax [81]

Answer:

The function that best models the given data is;

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Step-by-step explanation:

The data in the given table is presented as follows

$\begin{array}{cccccc}Time, \, t(s)&0&0.5& 1.0 & 1.5& 2.0\\Height, \, h \, (m) & 1.0 & 5.42 & 9.71 & 5.9 & 2.6\end{array}$

Where;

Time, t(s) is the independent variable

Height, h(m) is the dependent variable

Therefore, we have;

When t = 0, h = 1.0

From the given functions, we have the following table of the result of the function generated with Microsoft Excel

$\begin{array}{cccccc}\\t & h & A & B & C& D\\0 & 1.0 & 1.22 & 0.83& 0.83& 1.22\\0.5 & 5.42 & 5.26 & 6.2425 & 9.6075 & 10.17\\1 & 9.71 & 4.39 & 8.79 & 21.75 & 24.03 \\ 1.5 & 5.9 & -1.39& 6.9725& 37.2575 &42.8\\2& 2.6 & -12.08 & 2.29 & 56.13 & 66.48\end{array}$