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fomenos
3 years ago
14

Evaluate when x = 2 and y = 5: 2 + (12 - 5x): 2g

Mathematics
1 answer:
Lemur [1.5K]3 years ago
8 0

Just substitute x = 2 and y = 5 into the equation wherever you see x and y.

2 + (12 - 5x) · 2y

2 + (12 - 5(2)) · 2(5)

2 + (2) · 10

4 · 10

40, is the answer which should be the first box.

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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
8x(3x2-8)+10 what does his mean?
choli [55]
8*(3*2-8)+10= \\\\ =8*(6-8)+10= \\\\ = 8*(-2)+10= \\\\ =-16+10= \\\\ =\boxed{-6}
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3 years ago
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24 divided by 111 in a decimal number
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Step-by-step explanation:

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3 years ago
6.
ArbitrLikvidat [17]

Answer:

C. y = | x | – 13

Step-by-step explanation:

y = | x | – 13

Answer:

y = |x| -13

Step-by-step explanation:

recall for any function y = f(x), to translate the function vertically by any value "a", we simply have to add "a" to f(x).

If a is positive, then the graph is translated in the positive y-direction (i.e upwards), if a is negative, then the graph is translated in the negative y-direction (i.e downwards)

In our case , the graph is translated vertically by 13 units (i.e a = 13) and it is to be translated downwards (i.e negative)

hence we add a= -13 to the original function.

y = f(x) + (-13)

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y = |x| -13

3 0
3 years ago
In math :
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8 0
3 years ago
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