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Paha777 [63]
3 years ago
12

Use two sets of coordinates to write an equation to describe the relationship.

Mathematics
1 answer:
Irina-Kira [14]3 years ago
6 0

Answer/Step-by-step explanation:

An equation that describes the relationship can be written as y = mx.

Using the two sets of coordinates, (2, 140) and (4, 280), calculate the slope (m) as shown below:

\frac{y_2 - y_1}{x_2 - x_1} = \frac{280 - 140}{4 - 2} = \frac{140}{2} = 70

Substitute m = 70 into y = mx

The equation would be:

y = 70x

This equation can be interpreted as follows:

The heart's resting rate is 70 beats each minute.

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I need help please! I've been stuck on this for a week and its really stressful lol
worty [1.4K]

Answer:

y=0.2*4^{x}

Step-by-step explanation:

Notice when x increases 1, y is 4 times the previous one, so

the function is like y=C*4^{x}

To determine the constant C, put any pair of (x, y)

Use x = 0, y = 0.2, so

0.2 = C*4^{0} = C * 1 = C

then y=0.2*4^{x}

5 0
2 years ago
Read 2 more answers
Write an equation of the line passing through point P(−8, 0) that is perpendicular to the line 3x−5y = 6.
denpristay [2]

Answer:

y = -5/3 * x - 40/3

Step-by-step explanation:

A perpendicular line has an opposite and a reciprocal of the slope.

Your equation should be:

-5y = -3x +6

Divide all parts by -5.

y = 3/5x - 6/5

Since the perpendicular line has an opposite and a reciprocal of the slope, the slope will be -5/3.

Now you must make an equation in point-slope form. This is an example of that form. You will need at least one point to make this equation work. In this case we have (-8,0).

In put the y and x coordinates like this:

y - 0 = -5/3(x - (-8)

Start solving the equation.

y - 0 = -5/3(x + 8)

y - 0 = -5/3 * x - 40/3

y = -5/3 * x - 40/3

This is your equation.

y = -5/3 * x - 40/3

(You can make it -5/3x in your answer but it looks weird online. You may think that it is -5 divided by 3 times x, but it actually is 5/3 times x. That's why I wrote it as y = -5/3 * x - 40/3)

8 0
3 years ago
Read 2 more answers
Find the vertex of the graph of f(x) = x2 + 4x - 5.
Fofino [41]
You can solve this in two ways.

1. Graphical. Plot the graph for x between -5 and 1 (see attachement).
The vertex of the graph is the peak of the curve, which has the coordinates x=-2, y=-9.

2. Analytical. Calculate the derivative of the function f(x)
\frac{df}{dx}=2x+4
Solve the equation:
2x+4=0
will give the solution x=-2.
Replace x=-2 in the f(x) function and you'll get the value of y:
(-2)^2+4 \cdot (-2)-5=4-8-5=-9

You get the same answer: x=-2, y=-9

So the answer is
<span>B. (-2, -9)</span>

7 0
3 years ago
The school bus Evie rides is scheduled to arrive at her bus stop at 8:20 a.m. each day. The table below shows the actual arrival
kolbaska11 [484]

Answer:

The probability of the bus getting there BEFORE 8:20 isn't likely

I took an average of all of the numbers and its shows that he bus will be there about 8:20.25

6 0
3 years ago
You download 12 new songs to your MP3 player. Then you delete 5 old songs. Write each amount as an integer.
Lapatulllka [165]

Answer:

the new ones and the old ones that you didn’t delete

Step-by-step explanation:

5 0
3 years ago
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