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USPshnik [31]
3 years ago
7

Which point lies on the graph of y=3/4x -2?

Mathematics
1 answer:
klemol [59]3 years ago
6 0

Answer:

4,0 0,3

Step-by-step explanation:

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Find the x-coordinates where f ' (x)=0 for f(x)=2x+sin(4x) in the interval [0, pi]
MAVERICK [17]

Answer:

The x-coordinate is \dfrac{\pi}{6}[/tex].

Step-by-step explanation:

We are given a function f(x) as:

f(x)=2x+\sin (4x)

Now on differentiating both side with respect to x we get that:

f'(x)=2+4 \cos (4x)

When f'(x)=0

this means that 2+4\cos (4x)=0\\\\4\cos (4x)=-2\\\\\cos(4x)=\dfrac{-1}{2}

Hence, cosine function takes the negative value in second and third quadrant but we have to only find the value in the interval [0,\pi].

also we know that \cos (\dfrac{2\pi}{3})=\dfrac{-1}{2}----(1) (which lie in the second quadrant)

so on comparing our equation with equation (1) we obtain:

4x=\dfrac{2\pi}{3}\\\\x=\dfrac{\pi}{6}

Hence, the x-coordinates where f'(x)=0 for f(x)=2x+\sin(4x) is \dfrac{\pi}{6}.

5 0
3 years ago
The volume of a rectangular prism with a length of 3.5 m, a width of 8 m, and a height of 6
SSSSS [86.1K]
The volume of the rectangular prism is 3.5x8x6, which is 168 square meters

8 0
3 years ago
If y varies directly as the x^2 and y = 200 when x = 5, what is the value of y when x = -3?
gayaneshka [121]
As the variation is direct we have:
 y = kx ^ 2

 We must find the value of k.
 For this, we use the following data:
 y = 200 when x = 5
 Substituting values we have:
 200 = k5 ^ 2

 Clearing k:
 k = 200/5 ^ 2

k = 200/25

k = 8
 Then, the function is:
 y = 8x ^ 2

 We evaluate the function for x = -3
 y = 8 (-3) ^ 2

y = 8 (9)

y = 72
 Answer:
 the value of y when x = -3 is:
 c.
 
72
6 0
4 years ago
A towns population went from 25800 to 42600 in 15 years. What was the percent of change
Novay_Z [31]
42600-25800=16800
16800/15=1120 
42600*x=100*1120
x=112000/42600=2.62%
4 0
3 years ago
How do I get the answer for N x 4/5 = 3/4
agasfer [191]
<span><span>n<span>x4/</span></span>5</span>=<span>3/<span>4

</span></span><span><span><span><span>1/5</span><span>n<span>x^4</span></span></span><span><span>x^4/</span>5</span></span>=<span><span>3/4</span><span><span>x^4/</span>5</span></span></span><span>
Answer is n=
<span>15/<span>4<span>x<span>4</span></span></span></span></span>
8 0
3 years ago
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