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10 months ago

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5) One band rented a van to travel to Omaha. The band started out at 9:00AM, took a break at 9:32AM, and finally arrived in Omah

a at 10:04AM. How many minutes did it take the band to reach Omaha?

1 answer:

Fittoniya [83]10 months ago

6 0

Answer:

1 hour and 4 minutes

Step-by-step explanation:

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Please plot this linear equation on a graph, and also explain how to plot it. <br> <img src="https://tex.z-dn.net/?f=y%3D3x-7" i

olasank [31]

Answer:

See below:

Step-by-step explanation:

Hello! I hope you are having a nice day.

We can solve this equation in a single step, we just need a bit of theory and a graph.

We can first see that its in $y=mx+b$ form. Which is also known as Slope-Intercept form.

This means that we know the following.

$b$ is the y coordinate of the y intercept.
$m$ is the slope of the line.

Since we know that, we can see that from our equation that the slope of the line is 3 and the y intercept is (0,-7).

Now that we've gotten that, we can start graphing.

The y intercept is -7 so we can plot (0,-7) as one of our points.

The slope of 3 means that we got up 3 units then right a single unit.

Therefore, another point could be (1,-4).

With our two points, we can create our graph by creating a straight line through those two points and therefore plotting our line.

Cheers!

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2 years ago

Read 2 more answers

PLEASE HELP<br> find the vertex of f(x)=x^2+2x+3 (make sure you show your work)

kotegsom [21]

Answer:

(- 1, 2)

Step-by-step explanation:

Given a quadratic in standard form y = ax² + bx + c : a ≠ 0

Then the x- coordinate of the vertex is

$x_{vertex}$ = - $\frac{b}{2a}$

f(x) = x² + 2x + 3 ← is in standard form

with a = 1 and b = 2, hence

$x_{vertex}$ = - $\frac{2}{2}$ = - 1

Substitute x = - 1 into f(x) for corresponding value of y

f(- 1) = (- 1)² + 2(- 1) + 3 = 1 - 2 + 3 = 2

vertex = (- 1, 2 )

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2 years ago

The graph shows the distance, y, in miles, of a moving motorboat from an island for a certain amount of time, x, in hours:

Mila [183]

(0,15)(1,45)
slope = (45 - 15) / ( 1 - 0) = 30 mph

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3 years ago

Solve the simultaneous equation:<br>2x+3y=13<br><br>X+2y=9

Neko [114]

Answer:

2x + 3y = 13

4x - y = -2

In the second equation, subtract 4x from both sides.

-y = -2 - 4x

Divide both sides by -1.

y = 2 + 4x

Put this into the first equation in place of y.

2x + 3(2 + 4x) = 13

Multiply everything in the parenthesis by 3.

2x + 6 + 12x = 13

Combine like terms.

14x + 6 = 13

Subtract 6 from both sides.

14x = 7

Divide 14 on both sides.

x = 7 / 14

x = 0.5

Put this into the second equation in place of x.

4(0.5) - y = -2

2 - y = -2

Subtract 2 from both sides.

-y = -4

Divide both sides by -1.

y = 4

So x = 0.5 and y = 4.

Step-by-step explanation:

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2 years ago

April is an avid chess player. She sets up a coordinate system on her chess board so she can record the position of the pieces d

NemiM [27]

Answer:

6.7

Step-by-step explanation:

To solve this problem, we need to calculate the distance between two points in the XY coordinate plane.

The formula to calculate this distance is:

d = sqrt(dx^2 + dy^2)

where dx is the difference between the X coordinate of the points, dy is the difference between the Y coordinate of the points, and d is the distance.

(sqrt is the square root of what is in the parenthesis)

The first point (April's king) has X=4 and Y=2, the second point (the opponent's king) has X=7 and Y=8.

So, we have that dx = 4-7 = -3 and dy = 2-8 = -6

Now, we calculate the distance:

d = sqrt[ (-3)^2 + (-6)^2 ] = sqrt(9+36) = sqrt(45) = 6.7082 = 6.7

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3 years ago