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meriva
3 years ago
9

Martin is logging the number of strikes he bowls per hour. He has determined the function to be f(x) = 2x + 5, where x represent

s hours and f(x) represents the number of strikes he has bowled. Which of the following options describes the restrictions to the domain and range correctly?
Domain, nonnegative values; range, values greater than −2.5
Domain, nonnegative values; range, values greater than or equal to 5
Domain, nonnegative values; range, values less than −2.5
Domain, nonnegative values; range, values less than or equal to 5
Mathematics
1 answer:
lara31 [8.8K]3 years ago
8 0
<span>number of strikes hour,  f(x) = 2x + 5,

Domain, nonnegative values; range, values greater than −2.5 --> FALSE . The minimum value of f(x) is when x = 0, which drives to f(x) = 5 => -2.5 is no in the range.

Domain, nonnegative values; range, values greater than or equal to 5 --> TRUE. f(x) is defined for zero and all positive x, hours, and the set of images is  equal or greater than 5.


x = 0, f(x) = 5

x =1, f(x) = 2 + 5 =7

x = 2, f(x) = 2(2) + 5 = 9

x = 3, f(x) = 11
</span>
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Find the number, if 5/7 of it is 15
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3 years ago
EXPLAIN THE ERROR Cody was given two points (1/2,4) and (2/3,1), on a line and asked to create a linear equation in standard for
inessss [21]

Answer:

Cody made a mistake when calculating the slope of the line and this affected every other steps after than.

She divided -3 by 6 instead of -3 by 1/6

Step-by-step explanation:

Given

(x_1,y_1) = (\frac{1}{2},4)

(x_2,y_2) = (\frac{2}{3},1)

<em>See attached for steps</em>

Required

Explain Cody's error

<em>Cody made a mistake when calculating the slope of the line and this affected every other steps after than.</em>

See Proof

Slope (m) is calculated as thus:

m =\frac{y_2 - y_1}{x_2 - x_1}

m =\frac{1 - 4}{\frac{2}{3} - \frac{1}{2}}

m =-\frac{ 3}{\frac{1}{6}}

m = -3/\frac{1}{6}

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Solving further to determine the equation.

y - y_1 = m(x - x_1)

Where

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m = -18

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Collect Like Terms

y + 18x = 9 + 4

y + 18x = 13

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