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stich3 [128]
3 years ago
10

Is the graph increasing, decreasing, or constant?

Mathematics
1 answer:
Nadya [2.5K]3 years ago
3 0
B. increasing
explanation from left to right, the graph is steadily increasing
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A fence is to be built to enclose a rectangular area of 800 square feet. The fence along three sides is to be made of material t
myrzilka [38]

Answer:

dc/dx = 0 when x = 20. hence fence is 20×40

Step-by-step explanation:

Given data:

Rectangular Area = 800 ft^2

three side material cost = $5 per ft

fourth side material cost is $15 per ft

let expensive side is x and other dimension assume to be y

Then cost is c

c = 5(x+ 2y) + 15 x

xy = 800, so y = 800/x

c =5(x+ 1600/x^2) + 15x

for minimum when dc/dx = 0

\frac{dc}{dx} = 5(1-\frac{1600}{x^2}) + 15 = 0

5(1-\frac{1600}{x^2}) +  15 = 0

(1-\frac{1600}{x^2}) + 3 = 0

(1-\frac{1600}{x^2}) = - 3

x^2 - 1600 = -3x^2

4x^2 - 1600 = 0

(2x-40)(2x+40) = 0

x = 20

dc/dx = 0 when x = 20. hence fence is 20×40

3 0
4 years ago
5 grade module 3 lesson 7
GarryVolchara [31]
1 - \frac{2}7} - \frac{1}{4} = \frac{13}{28}
8 0
3 years ago
The tables show the amount earned by James and Paco working at the same store.
Drupady [299]

Answer:

Step-by-step explanation:

In order to determine if James and Paco earn different amounts of money per hour, you must find how much money they make in one hour.

James:

James makes $35.40 in 3 hours. So, in 1 hour, he would make 35.40/3 = 11.8.

James makes $11.80 an hour.

Therefore, his equation would be d = 11.8h

Paco:

Paco makes $24.00 in 2 hours. So, in 1 hour, he would make 24/2 = 12.

Paco makes $12.00 an hour.

Therefore, his equation would be d = 12h

Hence, Paco and James make different amounts of money. Paco makes 20 cents, or $0.20, more than James.

5 0
3 years ago
Read 2 more answers
Help me with this question : <br><br><img src="https://tex.z-dn.net/?f=%20%5Cquad%20%5Ctt%20%5C%3A%28%20%20%7Ba%7D%5E%7B%7D%20%2
Bas_tet [7]

Answer:

a² + 2ab + b²

Explanation:

⇒ (a + b)²

⇒ (a + b)(a + b)    

[apply distributive method: (a + b) (c + d) = ac + ad + bc + bd]

⇒ a² + ab + ab + b²

⇒ a² + 2ab + b²

3 0
2 years ago
Read 2 more answers
When will the equation p(b)=520(0.88)^b have a value less than 100?
yulyashka [42]

Answer:

The given equation will have value less than 100 whenever the value of b is greater than 12.89

Step-by-step explanation:

For the given equation, p(b) = 520 × 0.88^{b} to have a value less than 100 we can establish inequality as:

                     p(b) < 100

         or,  520 × 0.88^{b} < 100

         or, \frac{520}{520} × 0.88^{b} < \frac{100}{520}

         or, 0.88^{b} < \frac{1}{5.2}

         or, ㏒ ( 0.88^{b} ) < ㏒  (\frac{1}{5.2})

         or, b× ㏒ 0.88 < ㏒  (\frac{1}{5.2})

         or,  \frac{log (\frac{1}{5.2}) }{log (0.88)}   <  b

         or, 12.89 < b

Hence for the equation to have value less than 100, b must be greater than 12.89.

3 0
4 years ago
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