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3 years ago

What is the solution of the system of equations? {3x−1/2y=−7/2 x+2y=1

1 answer:

4 0

3x -1/2y = -7/2
x = -2y + 1

3 (-2y + 1) -1/2y = -7/2
-6y +3 -1/2y = -7/2
-13/2y = -13/2
y = 1

x = -2(1) + 1
x = -1

Answer = (-1, 1)

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a motorboat travels 305km in 5 hours going upstream and 651km in 7 hours going downstream. What is the rate of the boat in still

Ghella [55]

Recall your d = rt, distance = rate * time.

b = speed rate of the boat.

c = speed rate of the current.

keeping in mind that, as the boat goes Upstream, against the current, it's speed is not "b", but is really " b - c ", because the current is subtracting speed from it.

likewise, when the boat is going Downstream, because is going with the current, is really going faster at " b + c ".

$\bf \begin{array}{lccclll}
&\stackrel{km}{distance}&\stackrel{kmh}{rate}&\stackrel{hours}{time}\\
&------&------&------\\
Upstream&305&b-c&5\\
Downstream&651&b+c&7
\end{array}
\\\\\\
\begin{cases}
305=(b-c)(5)\implies 61=b-c\implies 61+c=\boxed{b}\\
651=(b+c)(7)\implies 93=b+c\\
----------------------\\
93=\boxed{61+c}+c
\end{cases}
\\\\\\
93=61+2c\implies 32=2c\implies \cfrac{32}{2}=c\implies 16=c$

what is the speed of the boat? well, 61 + c = b.

6 0

4 years ago

Lil help here please

stepan [7]

Answer:

d=-48

Step-by-step explanation:

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3 years ago

Read 2 more answers

Please help and show steps so i could figure out how to do it , will give branliest!

erastova [34]

Answer:

Step-by-step explanation:

1. 3b - 2 (1 - b) / a - 2

2. 3(2) - 2 (1 - 2) / 3 - 2

3. 6 - 2 (-1) / 1

4. 6 + 2 / 1

5. 8 / 1

6. 8

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3 years ago

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Yuki888 [10]

Answer:

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3 years ago

Which parent function is represented by the graph?

sattari [20]

Answer:

D. The linear parent function

Step-by-step explanation:

Linear functions are always characterized by a straight line graph with or without an intercept on the vertical or horizontal axis. A linear function usually has an independent variable and a dependent variable. The independent variable is commonly depicted as x while the dependent variable is y.

Thus a linear equation is an equation of the type y=ax where a is a constant term. The equation of a straight line graph his y=mx +c, where;

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3 years ago