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3 years ago

What is the slope-intercept form of the function that contains the point (1, –2) and has a slope of –3?

Mathematics

1 answer:

kolezko [41]3 years ago

5 0

y=mx+b -2=-3(1)+b -2=-3+b +3 +3 1=b y=-3x+1

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Cual es la historia de las funciones lineales ?

Oxana [17]

I don’t understand u sorry ;-;

4 0

3 years ago

Which shows the following expression after the negative exponents have been eliminated?

Sati [7]

B. Negative exponent flip from denominator to numerator and numerator to denominator.
B is the second option.

6 0

2 years ago

Solve: 2cos(x)-square root 3=0 for 0 less than x less than 2 pi

Leona [35]

Answer:

The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Step-by-step explanation:

Explanation:-

Given equation is

$2cosx-\sqrt{3} =0 for 0$

$2cosx =\sqrt{3}$

Dividing '2' on both sides, we get

$cos x =\frac{\sqrt{3} }{2}$

$cos x = cos(\frac{\pi }{6})$

General solution of cos θ = cos ∝ is θ = 2nπ±∝

Now The general solution of $cos x = cos(\frac{\pi }{6})$ is

x = 2nπ± $\frac{\pi }{6}$

put n=0

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

Put n=1

$x = 2\pi +\frac{\pi }{6} = \frac{13\pi }{6}$

$x = 2\pi -\frac{\pi }{6} = \frac{11\pi }{6}$

put n=2

$x = 4\pi +\frac{\pi }{6} = \frac{25\pi }{6}$

$x = 4\pi -\frac{\pi }{6} = \frac{23\pi }{6}$

And so on

But given 0 < x< 2π

The general solution values

$x = - \frac{\pi }{6} and x = \frac{\pi }{6}$

6 0

3 years ago

A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer because the average

zhenek [66]

A car trip from New York to Cincinnati took 12.5 hours. The return trip by the same route took 1 hour longer.

Let x be the speed of the car

Car trip from New York to Cincinnati

We know Distance D = speed * time

time = 12.5 hours and speed =x

D = 12.5x

Return trip

The return trip by the same route took 1 hour longer. So 12.5+1 = 13.5 hours

he average rate of speed was 4 mph less. So speed is x-4

Distance D = speed * time

time = 13.5 hours and speed =x-4

D = (x-4)*13.5

D= 13.5x-54

The distance of ongoing trip and return trip are same

So we equate both the distance equations D= 13.5x-54 and D= 12.5x

12.5x = 13.5x-54

Subtract 13.5 on both sides

-1x = -54

x=54

speed of ongoing trip = 54 miles per hour

Distance D = 12.5x = 12.5 * 54=675 miles

The length of the route = 675 miles

4 0

3 years ago

WHAT IS 225.45 + 90.32 ROUNDED TO THE NERST NUMBER

Blizzard [7]

225.45
+90.32
______
315.77
Nearest whole number
316

7 0

3 years ago

Read 2 more answers