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3 years ago

11

Find all maxima and minima of the function given below. Use a horizontal span of -6 to 6. (Round your answers to two decimal pla

ces.)
f(x) =
4x
4 + x2

1 answer:

AVprozaik [17]3 years ago

6 0

Equation: 4 + 4x + x²

Maxima: No maximum value from said equation
Minima: x = -2 since that is the only critical point in the equation

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What value of s makes the equation true?

azamat

Answer:

-17 =s

Step-by-step explanation:

-8s +4 = -7s +21

Add 8s to each side

-8s+8s +4 = -7s+8s +21

4 = s+21

Subtract 21 from each side

4-21 = s+21-21

-17 =s

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3 years ago

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Lucia is wrapping packages that are in the shape of a triangular prism. The net of the prism is shown below: ( Help me answer th

solniwko [45]

Answer:

The total surface area of all 6 prisms is 6336 in^2.

Step-by-step explanation:

Let's find the surface area of ONE prism and then multiply that result by 6 to obtain the final answer.

One prism:

The area of the two 13 in by 26 in rectangular tabs is 2(13 in)(26 in), or 676 in^2 (subtotal);

The area of the two triangles of base 10 in and height 12 in is 2([1/2][10 in][12 in], or 120 in^2; and, finally,

The area of the 10 in by 26 in base is 260 in^2.

The total surface area of ONE prism is thus:

676 in^2 + 120 in^2 + 260 in^2, or 1056 in^2.

Now, because there are 6 of these prisms, multiply this last result by 6:

6(1056 in^2) = 6336 in^2.

The total surface area of all 6 prisms is 6336 in^2.

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3 years ago

In the function f(x) = -720h + 10080, the "h" is the number of hours the pool has been draining. Explain in your words how much

Nataly [62]

f(x) = -720h + 10080

10080 is the total amount of water in the pool, 720 is the amount of water you lose each hour.

"h" is the number of hours the pool has been draining, and since you know the pool has been draining for 12 hours, you can plug in 12 for "h".

f(x) = -720h + 10080

f(x) = -720(12) + 10080

f(x) = -8640 + 10080

f(x) = 1440

After 12 hours of draining, 1440 is the amount of water left in the pool. (I don't know the units [ex: gallons, etc.])

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3 years ago

A park is 4.6 miles long and 2.7 miles wide. A:what is the total distance around the park? B:if a racecar drove 50 times around

Vlada [557]

Answer:

A) Total distance around the park is 14.6 miles

B) The total distance drove by racer 730 miles

Step-by-step explanation:

Given as :

The length of park = 4.6 miles

The width of park = 2.7 miles

Let the total distance cover around park = Perimeter of park = P miles

So, Perimeter of rectangular park = 2 × Length + 2 × width

or, P = 2 × 4.6 + 2 × 2.7

I.e P = 9.2 + 5.4

Or, perimeter = 14.6 miles

A ) ∴ Total distance around the park = 14.6 miles

B ) The total distance drove by racer = 50 times around the park

So, The total distance drove by car = 50 × Total distance around the park

∴The total distance drove by car = 50 × 14.6 = 730 miles

Hence A) Total distance around the park is 14.6 miles

B) The total distance drove by racer 730 miles answer

6 0

3 years ago

Will give Brain!! To this

Mamont248 [21]

Answer: 13.2

Step-by-step explanation:

the ratio between the given measurements (11 and 5) is 2.2 [5 x 2.2 = 11]

so, i just multiplied 6 by 2.2 , which equals 13.2 .

hope this helps! xoxo

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3 years ago

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