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Jet001 [13]
2 years ago
7

Factorize : a2 + b2 _ 2(ab - ac + bc ).

Mathematics
1 answer:
ruslelena [56]2 years ago
7 0
(a² + b² - 2ab)  + 2ac - 2bc = (a - b)² + 2c(a-b) = (a-b)(a-b +2c)
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Jerald jumped from a bungee tower. If the equation that models his height, in feet, is h = –16t2 + 729, where t is the time in s
vekshin1

104 = -16T2 + 729

16t^2 =  729 - 104 = 625

4t = +/-25

t = +/-6.25

Between 6.25 and 13.5 seconds after he jumps

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3 years ago
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Ira went to the movies with $35.91 in
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Answer:

$13.36

Step-by-step explanation:

12.5+6.25+3.8=22.55

35.91-22.55= 13.36

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Express the following as a single number (2×1000)+(4×100)+(7×10)​
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2470

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Ryan rode his bike of a mile. James rode his bike of a mile. Who rode farther? Exactly how much farther? Use the rectangles belo
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3 years ago
Elena is paid a constant rate for each hour she works. The table shows the amounts of money that Elena earned for various amount
Nikolay [14]

Constant rates are used to illustrate linear functions.

  • The average rate of change is $9.0 per hour
  • The function that models the table is: \mathbf{f(x) = 9x }
  • The amount earned in 7.5 hours is $67.5

<u>(a) The average rate of change</u>

This is calculated using:

\mathbf{Rate = \frac{y_2 -y_1}{x_2 -x_1}}

So, we have:

\mathbf{Rate = \frac{31.5-22.50}{3.5 - 2.5}}

\mathbf{Rate = \frac{9}{1.0}}

\mathbf{Rate = 9.0}

Hence, the average rate of change is $9.0 per hour

<u>(b) A function that models the table of values</u>

Let x represent hours, and y represent the earnings.

So, we have:

\mathbf{y =m (x - x_1) + y_1}

Where:

m =Rate = 9.0

So, we have:

\mathbf{y = 9(x - 2.5) + 22.5}

Expand

\mathbf{y = 9x - 22.5 + 22.5}

\mathbf{y = 9x }

Represent as a function

\mathbf{f(x) = 9x }

Hence, the function that models the table is: \mathbf{f(x) = 9x }

<u>(c) Amount earned for 7.5 hours</u>

This means that x = 7.5

So, we have:

\mathbf{f(7.5) = 9 \times 7.5 }

\mathbf{f(7.5) = 67.5}

Hence, the amount earned in 7.5 hours is $67.5

Read more about constant rates at:

brainly.com/question/23184115

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2 years ago
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