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3 years ago

Please Help This is an Algebra 1 Question

Mathematics

2 answers:

gregori [183]3 years ago

6 0

-9/27 = 0/x

solve for x:

-9x = 27

x = -3

The first blank is -3

0/-3 = x/-33

solve for x:

-3x = 0

x = 0

The second blank is 0

Aneli [31]3 years ago

4 0

y=-3x

So:

When x=0, y=0

When y=-33, x=11

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I have one third gallon of juice and one sixth gallon. How many more gallons is need to make three gallons

charle [14.2K]

Answer:

2.5 gallons

Step-by-step explanation:

Make the denominators of the fractions the same and combine them

$\frac{1}{3} =\frac{2}{6}$

$\frac{2}{6} +\frac{1}{6} =\frac{3}{6}$

Then simplify the fraction

$\frac{3}{6} =\frac{1}{2}$

Then subtract how many gallons you have from how many you want

$3 -\frac{1}{2} = 2\frac{1}{2}$

You will need 2.5 gallons to make 3 gallons

3 0

2 years ago

Help it’s slope idk how to do it

Over [174]

a. $\boxed{y-602=\frac{2}{3}(x-3)}$

b. For every month the pine tree grows about 0.67 inches.

c. <em> </em>It represents the height of the tree at the moment Ariel started to record the heights.

<h2>Explanation:</h2>

In this exercise we have that in July Ariel recorded the height of a pine tree and how quickly it was expected to grow in next several months. From the Table, we can get the following points:

$P_{1}(3,602) \\ \\ P_{2}(6,604) \\ \\ P_{3}(q,606) \\ \\ P_{4}(12,608)$

It is obvious that this problem follows a linear equation, so our goal is to find the equation that matches the Table.

The point slope form of the equation of a line is:

$y-y_{1}=m(x-x_{1}) \\ \\ Where: \\ \\ m:Slope \\ \\ (x_{1}, y_{1}):A \ point \ on \ the \ line$

Finding (m):

$Using: \\ \\ P_{1}(x_{1},y_{1}) \rightarrow P_{1}(3,602) \\ \\ P_{2}(x_{2}, y_{2}) \rightarrow P_{2}(6,604) \\ \\ m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}=\frac{604-602}{6-3} \\ \\ m=\frac{2}{3}$

Finally, the equation of the line is:

$(x_{1}, y_{1}) \rightarrow (3,602) \\ \\ \boxed{y-602=\frac{2}{3}(x-3)}$

In this case, we have that:

The x-axis represents the <em>Number of Months </em>the pine tree was expected to grow.
The y-axis represents the <em>Height of the Tree </em>in inches.

Since the slope o a line is:

$Slope=\frac{Change \ in \ y}{Change \ in \ x}=\frac{2}{3}$

Then, this means that<em> every three months the pine tree grows two inches, </em><em>or </em><em>for every month the pine tree grows about 0.67 inches.</em>

The y-intercept can be found setting $x=0$ . So, from our equation: