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STALIN [3.7K]
2 years ago
15

Find the constant rate of change for each linear function and interpret its meaning

Mathematics
1 answer:
Marina CMI [18]2 years ago
3 0

the slope goes by several names

• average rate of change

• rate of change

• deltaY over deltaX

• Δy over Δx

• rise over run

• gradient

• constant of proportionality

however, is the same cat wearing different costumes.

and to get it, we simply need two points off of the straight line, hmm let's use the ones in the picture below.

(\stackrel{x_1}{2}~,~\stackrel{y_1}{4})\qquad (\stackrel{x_2}{6}~,~\stackrel{y_2}{6}) ~\hfill \stackrel{slope}{m}\implies \cfrac{\stackrel{rise} {\stackrel{y_2}{6}-\stackrel{y1}{4}}}{\underset{run} {\underset{x_2}{6}-\underset{x_1}{2}}}\implies \cfrac{2}{4}\implies \cfrac{1}{2}

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A large waterfall is managed so that a minimum of 110,000 cubic feet of water per second sec) fow over the fals. Find the minimu
Liula [17]

Answer:

9.504×10⁹ ft³

Step-by-step explanation:

We are told the amount of water in cubic feet per second.  We need it in cubic feet per hour, then multiply that amount by 24 to get the cubic feet of water that falls in a 24-hr period.  Converting the seconds to hours:

\frac{110,000ft^3}{sec}*\frac{3600sec}{1hr}

The seconds label cancels out leaving us with a label in cubic feet per hour.  That number, NOT in scientific notation (we'll do that at the end) is:

396000000 cubic feet per hour.

Multiply that by 24 and you get:

9504000000 cubic feet or

9.504×10⁹ cubic feet

5 0
3 years ago
Hello! I don't understand how to do this question Triangle XYZ is located at X (−2, 1), Y (−4, −3), and Z (0, −2). The triangle
Katen [24]

ANSWER

EXPLANATION

Given that

X (-2, 1)

Y (-4, -3)

Z (0, -2)

The transformation rule of the triangle is given as

(x, y) ----------------> (x - 1, y + 3)

From, the given transformation rule, we can now find the new coordinates

X (-2, 1) --------------> X' (-2 -1, 1 + 3)

X(-2, 1 ----------------> X' (-3, 4)

Y(-4, -3) -----------------> Y'(-3-1, -3+1)

Y(-4, -3)-------------------> Y' (-4, -2)

Z(0, -2) --------------------Z'(0-1, -2+3)

Z(0, -2) -------------------> Z'(-1, 1)

Therefore the new coordinates of the triangles are

X' (-3, 4)

Y' (-4, - 2)

Z' (-1, 1)

8 0
1 year ago
Diff. / Original amount= % of increase or decrease
V125BC [204]

Answer:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

Step-by-step explanation:

Percentage Increase:

Let there be an original number. If it increased to a certain value we can calculate the percentage increase value with the help of following formula:

% increase =\frac{\text{ Increased number -Original number }}{\text{Original number}} \times 100\%

Percentage Decrease:

Let there be an original number. If it decreases to a certain value we can calculate the percentage decrease with the help of following formula:

% decrease =\frac{\text{ Original number - Decreased number }}{\text{Original number}} \times 100\%

6 0
3 years ago
A student solves a quadratic and gets solutions of x=-7 and x=8. Could the discriminant of this equation equal -188?
MrMuchimi

Answer:

7

Step-by-step explanation:

8 0
3 years ago
There is a bag filled with 4 blue, 3 red and 5 green marbles.
bearhunter [10]

Answer:

1/11

Step-by-step explanation

There are 12 marbles in the bag. When we first pick we have 4 blue marbles. So 4 blue marbles/12 random marbles. When we pick blue and noted, there are 3 marbles in the bag because of we didn't put it back. So when we choose again there are 11 marbles and 3 blue marbles in the bag. Choosing a blue one case is 3/11.

The last part of this case is happening as a chain. So we need to multiply our two answers.

=4/12*3/11

=1/3*3/11

=1/11

7 0
2 years ago
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