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erica [24]
3 years ago
10

In the city of Carmen, there is a drawbridge that is opened twice per hour over the summer. The graph below shows the number of

feet that the top of the bridge was above the water versus the amount of minutes that the
drawbridge was open

Mathematics
1 answer:
n200080 [17]3 years ago
7 0

Answer:

1) Between 0 and 1 minute the rate of change is 25 ft./min

2) Between 1 and 2 minute the rate of change is 0 ft./min

3) Between 2 and 4 minute the rate of change is -12.5 ft./min

Step-by-step explanation:

1) Between 0, and 1 feet, we have;

The rate of change = (Final height - Initial height)/(Final time - Initial time)

The rate of change = (40 - 15)/(1 - 0) = 25 ft/min

Between 0 and 1 minute the rate of change = 25 ft./min

2) Between 1, and 2 feet, we have;

The rate of change = (40 - 40)/(2 - 1) = 0 ft/min

Between 1 and 2 minute the rate of change = 0 ft./min

3) Between 2, and 4 feet, we have;

The rate of change = (15 - 40)/(4 - 2) = -12.5 ft/min

Between 2 and 4 minute the rate of change = -12.5 ft./min

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Yes, 82 ounces is the correct answer.
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3 years ago
Consider the linear system of equations. y = –x + 9 y = 0.5x – 6 If the solution is (a,–1), what is a? a =
timofeeve [1]

Answer:

a = 10

Step-by-step explanation:

From the solution given, x = a and y = -1

Substitute for x and y in either of the equations

y = -x + 9

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a = 9 + 1 = 10

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3 years ago
$21 is what percent of $28
saveliy_v [14]

Answer:

75%

Step-by-step explanation:


4 0
2 years ago
Write the equation of a circle that has a center at the origin and a radius with a length of 4 inches
VMariaS [17]

Answer:

x^2+y^2=16

Step-by-step explanation:

x^2+y^2=r^2 is the mother function of the equation of a circle centered at r with radius r

since r is defined to be 4 and 4^2 is 16 therefore, the equation would then be

x^2+y^2=16

4 0
3 years ago
Read 2 more answers
20x^{2} +124x+24[/tex]
vova2212 [387]

Factorization is the process of breaking an integer down into its components or divisors, and further calculation can be defined as follows:

Given:

20x^{2} +124x+24

To find:

solve the given problem

Solution:

\to \bold{20x^{2} +124x+24}\\\\\to \bold{4(5x^{2} +31x+6)}\\\\\to \bold{4(5x^{2} +31x+6)}\ \ \ \ \ \ \ \ \ \ \ 5\times 6= 30 \ \  and\ \ 30 \times 1= 30\\\\\to \bold{4(5x^{2} +(30+1)x+6)}\\\\\to \bold{4(5x^{2} +30x+1x+6)}\\\\\to \bold{4(5x(x +6)+1(x+6)}\\\\\to \bold{4((x +6) (5x+1)}\\\\

Therefore, the final answer is "\bold{4((x+6)(5x+1))}".

Learn more:

brainly.com/question/10755001

8 0
2 years ago
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