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vovangra [49]
3 years ago
12

derricks dog sitting and Darlene's dog sitting are competing for new business. write and sole and equation to find the number of

hours for which the total cost will be the same for the two services
Mathematics
1 answer:
emmasim [6.3K]3 years ago
4 0
[12+5 (18+3)]

I think but am not sure
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An above-ground swimming pool is leaking. The function h(d) = 48 - 1. 5d gives the height of the water in the pool in inches d d
MAXImum [283]

Answer:

A) 48 in : initial height of the water

B) 40.5 in : height of the water after 5 days

C) 32 days

D) Yes, should be restricted.

Domain: 0 ≤ d ≤ 32

Step-by-step explanation:

h(d) = 48 - 1. 5d

A)  

h(0) = 48 - 1. 5(0)=48

48 in is the initial height of the water

B)

h(5) = 48 - 1. 5(5)=48-7.5=40.5

40.5 in is the height of the water after 5 days

C) when the pool is empty, h = 0.

So set the equation to zero and solve for d.

\implies 48 - 1. 5d=0\\\\\implies 1.5d=48\\\\\implies d=\dfrac{48}{1.5}\\\\\implies d=32

D) Yes, the domain should be restricted because when d > 32, h < 0 and the height of the water in the pool cannot be negative

Domain: 0 ≤ d ≤ 32

5 0
2 years ago
Enter the simplified form of the complex fraction in the box. Assume no denominator equals zero.
Olenka [21]

Answer:

\frac{(9-x)}{3x}

Step-by-step explanation:

we have

\frac{\frac{2}{x-3}-\frac{3}{x}}{\frac{3}{x-3}}

step 1

Solve the numerator of the quotient

\frac{2}{x-3}-\frac{3}{x}=\frac{2x-3(x-3)}{(x-3)x}=\frac{2x-3x+9}{(x-3)x}=\frac{9-x}{(x-3)x}

step 2

substitute in the original expression

\frac{\frac{9-x}{(x-3)x}}{\frac{3}{x-3}}

\frac{(x-3)(9-x)}{3x(x-3)}

step 3

simplify

\frac{(9-x)}{3x}

5 0
3 years ago
5x² + 4x - 20 = 0<br> Solve this using the quadratic formula
Natali [406]

Here's the answer, using the quadratic formula

8 0
3 years ago
A blueprint is drawn using a scale of 2 mm over 25 ft. What length is represented by 1 mm?
NARA [144]
12.5 ft is the length of 1 mm
4 0
3 years ago
Simplify 1 by 4 plus 1 1 by 4 plus 1 2 by 5​
dybincka [34]
<h3>Solution:.</h3><h3>\frac{1}{4}  +  \frac{11}{4}  +  \frac{12}{5}  \\  =  \frac{1 \times 5 + 11 \times 5 + 12 \times 4}{20}  \\  =  \frac{5 + 55 + 48}{20}  \\  =  \frac{108}{20}  \\  = 5 \frac{8}{20}  \\  = 5 \frac{2}{5}</h3><h3>Answer:</h3>

5 \frac{2}{5}

Hope it helps.

Do comment if you have any query.

3 0
2 years ago
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