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3 years ago

Please help.... which ordered pair is NOT a solution to the inequality in the graph

Mathematics

1 answer:

Kaylis [27]3 years ago

6 0

Answer:

(5, 1) is the answer.

Step-by-step explanation:

This is because the point (5, 1) is NOT in the shaded area of the inequality. All the other points are either in the shaded area of the inequality, or on the line of the inequality equation.

Hope this helps!! :)

#teamtrees #WAP (Water And Plant)

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What values of the variable cannot possibly be solutions for the given equation, without actually solving the equation?

Ne4ueva [31]

Answer:

the solution to the equation is 8. Any value apart from 8 is not a solution

Step-by-step explanation:

Given the equation

6/3x+2 - 1/x-4 = 0

6/3x+2 = 1/x-4

Cross multiply

6(x-4) = 3x+2

6x - 24 = 3x+2

6x-3x = 2 + 24

3x = 24

x = 24/3

x = 8

Hence the solution to the equation is 8. Any value apart from 8 is not a solution

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3 years ago

Prove that y = -3x + 3 is linear.

shtirl [24]

Graph it and you’ll see it’s a line

8 0

3 years ago

Which equation does the graph of the systems of equations solve? (1 point) 2 linear graphs. They intersect at negative 1, 1

RoseWind [281]

Answer:

3x +4 = -2x -1

Step-by-step explanation:

The line that goes up to the right has a y-intercept of +4. This is where it crosses the y-axis. It's slope (rise/run) is 3/1 = 3, so its equation in slope-intercept form is ...

y = mx +b . . . . where m is the slope, b is the y-intercept

y = 3x +4

The other line has a negative slope and a y-intercept of -1. The slope of that line is rise/run = -2/1 = -2, so its equation is ...

y = -2x -1

The solution point will have the x-coordinate that is the solution of the equation ...

y = y

3x +4 = -2x -1 . . . . . . substituting the above expressions for y.

3 0

4 years ago

Added to Six Flags St. Louis in the Colossus is a giant Ferris wheel. Its diameter is 165 feet, it rotates at a rate of about 1.

vlada-n [284]

Answer:

The height of the rider as a function of time is $h(t) = 15 + 82.5\cdot (1-\cos 0.168t) \,[ft]$ , where time is measured in seconds.

Step-by-step explanation:

Given that Ferris wheel rotates at constant rate and rider begins at the bottom of the wheel, the height of the rider as a function of time is modelled after this expression:

$h(t) = h_{bottom} + (1-\cos \omega t)\cdot r_{w}$

Where:

$h_{bottom}$ - Height of the bottom with respect to ground, measured in feet.

$\omega$ - Angular speed of the ferris wheel, measured in radians per second.

$t$ - Time, measured in seconds.

$r_{w}$ - Radius of the Ferris wheel, measured in feet.

The angular speed of the ferris wheel, measured in radians per second, is obtained from the following expression:

$\omega = \frac{\pi}{30}\cdot \dot n$

Where:

$\dot n$ - Angular speed of the ferris wheel, measured in revolutions per minute.

If $\dot n = 1.6\,rpm$ , then:

$\omega = \frac{\pi}{30}\cdot (1.6\,rpm)$

$\omega \approx 0.168\,\frac{rad}{s}$

Now, given that $h_{bottom} = 15\,ft$ , $r_{w} = 82.5\,ft$ and $\omega \approx 0.168\,\frac{rad}{s}$ , the height of the rider as a function of time is:

$h(t) = 15 + 82.5\cdot (1-\cos 0.168t) \,[ft]$

4 0

4 years ago

Slope=2 goes through (-2,2) What is the equation?

astraxan [27]

Answer:

y= 2x+6

Step-by-step explanation:

the formula of a line is y = mx+b

so just sub everything in to find b

(-2,2) - (x,y)

y= mx +b (your slope, 2 is subbed into mx)

y=2x+b

2=2(-2) +b

2= -4 +b

2+4= -4+4 +b

6=b

therefore the slope being mx and b=6

the equation is y=2x+6

5 0

3 years ago