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Alexus [3.1K]
3 years ago
11

Need help with 4-10 pleaseeee

Mathematics
1 answer:
emmainna [20.7K]3 years ago
5 0

Answer:

-6

Step-by-step explanation:

10 - 4 = 6

Turn it to negative.

-6

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The regular price of a child's entry ticket to a water park is $8 less than that for an adult's. The park offers half off of all
valkas [14]
<span>194 = 1/2x + 2(x - 8)
194 = 1/2x + 2x - 16 = 5/2x - 16
5/2x = 194 + 16 = 210
5x = 210 x 2 = 420
x = 420/5 = 84

Therefore, the regular price of a child's ticket is $84 - $8 = $76.
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This is the same question as last time just not blurry.
AveGali [126]
4. proportional
5. proportional
6. I don't know what functions are
7. It has a straight line and distance is proportional to time.
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3 years ago
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gayaneshka [121]

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3 years ago
For f(x)=4sin(x2) between x=0 and x=3, find the coordinates of all intercepts, critical points, and inflection points to two dec
telo118 [61]

Answer:

Intercepts:

x = 0, y = 0

x = 1.77, y = 0

x = 2.51, y = 0

Critical points:

x = 1.25, y = 4

x = 2.17 , y = -4

x = 2.8, y = 4

Inflection points:

x = 0.81, y = 2.44

x = 1.81, y = -0.54

x = 2.52, y = 0.27

Step-by-step explanation:

We can find the intercept by setting f(x) = 0

4sin(x^2) = 0

sin(x^2) = 0

x^2 = n\pi where n = 0, 1, 2,3, 4, 5,...

x = \sqrt(n\pi)

Since we are restricting x between 0 and 3 we can stop at n = 2

So the function f(x) intercepts at y = 0 and x:

x = 0

x = 1.77

x = 2.51

The critical points occur at the first derivative = 0

f^{'}(x) = 4cos(x^2)2x = 8xcos(x^2) = 0

xcos(x^2) = 0

x = 0 or

cos(x^2) = 0

x^2 = \frac{\pi}{2} + n\pi where n = 0, 1, 2, 3

x = \sqrt{\pi(n+1/2)}

Since we are restricting x between 0 and 3 we can stop at n =  2

So our critical points are at

x = 1.25, y = f(1.25) = 4sin(1.25^2) = 4

x = 2.17 , y = f(2.17) = 4sin(2.17^2) = -4

x = 2.8, y = f(2.8) = 4sin(2.8^2) = 4

For the inflection point, we can take the 2nd derivative and set it to 0

f^[''}(x) = 8(cos(x^2) - xsin(x^2)2x) = 8cos(x^2) - 16x^2sin(x^2) = 0

cos(x^2) = 2x^2sin(x^2)

tan(x^2) = \frac{1}{2x^2}

We can solve this numerically to get the inflection points are at

x = 0.81, y = f(0.81) = 4sin(0.81^2) = 2.44

x = 1.81, y = f(1.81) = 4sin(1.81^2) = -0.54

x = 2.52, y = f(2.52) = 4sin(2.52^2) = 0.27

3 0
3 years ago
3) 4 pounds of meat cost $18. How much will 10 pounds of the same meat cost?​
Ganezh [65]

Answer:

$45

Step-by-step explanation:

4 lbs = $18

2 lbs = $9

10 lbs = $45

7 0
3 years ago
Read 2 more answers
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