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3 years ago

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Using y = (slope) x + y-intercept, answer the questions about the above graph. (x is minutes riding, and y is the cost)

2 answers:

Anna35 [415]3 years ago

5 0

Śeidg no tomo habar se isn't how pay kiytr

Dominik [7]3 years ago

4 0

Pink Line: Y=.50x + 3

Red Line: Y=1x + 0

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Solve 3(2x - 1) + 4x = 4(3x - 1) - 9

suter [353]

x = 5

Step-by-step explanation:

3 ( 2x - 1 ) + 4x = 4 ( 3x - 1 ) - 9
6x - 3 + 4x = 12x - 4 - 9
10x - 3 = 12x - 13
- 3 + 13 = 12x - 10x
10 = 2x
x = 10 / 2
x = 5

<h3>Hope it helps you ツ</h3>

6 0

2 years ago

The harmonic motion of a particle is given by f(t) = 2 cos(3t) + 3 sin(2t), 0 ≤ t ≤ 8. (a) When is the position function decreas

iren [92.7K]

For the last part, you have to find where $f'(t)$ attains its maximum over $0\le t\le8$ . We have

$f'(t)=-6\sin3t+6\cos2t$

so that

$f''(t)=-18\cos3t-12\sin2t$

with critical points at $t$ such that

$-18\cos3t-12\sin2t=0$

$3\cos3t+2\sin2t=0$

$3(\cos^3t-3\cos t\sin^2t)+4\sin t\cos t=0$

$\cos t(3\cos^2t-9\sin^2t+4\sin t)=0$

$\cos t(12\sin^2t-4\sin t-3)=0$

So either

$\cos t=0\implies t=\dfrac{(2n+1)\pi}2$

or

$12\sin^2t-4\sin t-3=0\implies\sin t=\dfrac{1\pm\sqrt{10}}6\implies t=\sin^{-1}\dfrac{1\pm\sqrt{10}}6+2n\pi$

where $n$ is any integer. We get 8 solutions over the given interval with $n=0,1,2$ from the first set of solutions, $n=0,1$ from the set of solutions where $\sin t=\dfrac{1+\sqrt{10}}6$ , and $n=1$ from the set of solutions where $\sin t=\dfrac{1-\sqrt{10}}6$ . They are approximately

$\dfrac\pi2\approx2$

$\dfrac{3\pi}2\approx5$

$\dfrac{5\pi}2\approx8$

$\sin^{-1}\dfrac{1+\sqrt{10}}6\approx1$

$2\pi+\sin^{-1}\dfrac{1+\sqrt{10}}6\approx7$

$2\pi+\sin^{-1}\dfrac{1-\sqrt{10}}6\approx6$

4 0

3 years ago

What is the value of the angle marked with x?

Digiron [165]

Answer:

116

Step-by-step explanation:

since this is a symmetrical shape, the angles on both sides will be the same

4 0

3 years ago

I ONLY HAVE 5 MIN TO TURN THIS IN PLEASE HELP !!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!!

Aleks [24]

Answer:

5) The statement is true (one side does equal the other)

6) m = -3

7) The statement is true (one side does equal the other)

8) $b = \frac{3}{2}$

I hope this helps!

8 0

3 years ago

Read 2 more answers

Debra found that 6 of the 24 students in her class own a cell phone what is th ratio of students that own a cell phone to studen

lesya692 [45]

There are 24 students in total.

6 own a cell, the rest does not, 24 - 6 is 18, so 18 do not.

$\bf 6:18\implies \cfrac{6}{18}\implies \cfrac{1}{3}$

3 0

3 years ago