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3 years ago

I need help with this calculus question

Mathematics

2 answers:

Bezzdna [24]3 years ago

8 0

- 47 → d

using the ' product rule '

$\frac{d}{dx}$ (uv) = uv' + vu' = (3 × - 4) + (7 × - 5 ) = - 12 - 35 = - 47

olga nikolaevna [1]3 years ago

6 0

It is (b) - 47. look up your question online for articles on how to solve.

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A college parking lot is 140 ft long and 90 ft wide. The college wants to increase the area of the lot by 29% by adding strips o

Novay_Z [31]

The initial dimenssions of the park lot are:

length: 140 ft
width: 90 ft

initial area: 140 * 90 = 12,600 ft^2

Area increased 29% = 12,600 * 1.29 = 16,254 ft^2

width of the strips: x

New length: 140 + x

New width: 90 + x

New area: (140+x)(90+x) = 16,254

Solution of the equation:

12600 + 230x + x^2 = 16254

=> x^2 + 230x - 3654 = 0

Use the quadratic formula.

x = {-230 +/- √[ 230^2 - 4*1*(-3654) ]} / 2 =

x = 14.92

The other solution is negative so it is discarded.

Answer: 15 ft

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3 years ago

The following frequency table summarizes last week's bed sales at Cloud Nine Furniture.

Masteriza [31]

Answer:

Option A. 0.20

Step-by-step explanation:

Observations from the given frequency table are :

Total number of beds sold at Cloud Nine Furniture = 3 + 6 + 4 + 2

= 15

Number of twin beds sold = 3

Then, probability that the next bed sold will be a twin bed,

$P=\frac{\text{favorable outcome}}{\text{total number of possible outcomes}}$

$=\frac{3}{15}$

= 0.20

Therefore, the probability that the next bed sold is a twin bed will be 0.20 or 20%.

Option A. is the correct answer.

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3 years ago

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What is the volume of something if the diameter is 2cm and the height is 9cm ?

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28.23 is the volume of something if the diameter is 2 cm and the height is 9 cm.

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3 years ago

Y=2x^2+12x+14 in vertex form

balandron [24]

Answer:

y = 2(x + 3)² - 4

Step-by-step explanation:

The equation of a parabola in vertex form is

y = a(x - h)² + k

where (h, k) are the coordinates of the vertex and a is a multiplier

Using the method of completing the square

y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms

= 2(x² + 6x) + 14

To complete the square

add/subtract ( half the coefficient of the x- term)² to x² + 6x

y = 2(x² + 2(3)x + 9 - 9 ) + 14

= 2(x + 3)² - 18 + 14

= 2(x + 3)² - 4 ← in vertex form

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3 years ago

Suppose the graph of a cubic polynomial function has the same zeroes and passes through the coordinate (0, –5). Describe the ste

olga_2 [115]

1. "the graph has the same zeros" : so let a be the "triple" root of the cubic polynomial function.

2. So f(x)= $(x-a)^{3}$

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$-5=-ba ^{3}$

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3 years ago

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