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Gelneren [198K]
2 years ago
13

Tamara was asked to write an example of a linear functional relationship. She wrote this example: My babysitting service charges

an initial $5.00 fee plus an additional $6.50 per hour. Complete the table below to show the babysitting rate for different numbers of total hours. Then write a linear equation in the form y=mx+b that represents this relationship where m is the slope and b is the y-intercept. Use the on-screen keyboard to type your answers in the boxes below. Total Hours 1 $
2 $
3 $
4 $
Mathematics
1 answer:
Vlada [557]2 years ago
7 0

Answer:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

Step-by-step explanation:

In an equation y=mx+b, we can interpret the intercept b as the value of the initial charge and the slope m as the additional charge per hour. So, we can formulate the following equation:

y = 6.5x + 5

Where x is the hours and y are the charges for the babysitting, so, we can fill the table as:

Hours      Charge

1               y = 6.5(1) + 5 = $11.5

2              y = 6.5(2) + 5 = $18

3              y = 6.5(3) + 5 = $24.5

4              y = 6.5(4) + 5 = $31

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  A. Carla is on the right track because she is finding the slopes of consecutive sides to check for perpendicular sides.

Step-by-step explanation:

Only adjacent sides can be perpendicular, so Jonah's approach of finding slopes of opposite sides cannot work.

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2 years ago
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2 years ago
A veterinarian's office recorded one particular week that they had 50 patients. The following table shows the recorded number of
Gre4nikov [31]

Answer:

1. <u>The correct answer is 46%</u>

2. <u>The correct answer is .07</u>

<u>3. The correct answer is (34%,58%)</u>

4. <u>The correct answer is (32%,60%)</u>

Step-by-step explanation:

1. Let's calculate the percentage or proportion of patients that were dogs:

p = (7 + 4 + 5 + 5 + 2)/50 = 23/50 = 0.46

<u>The correct answer is 46%</u>

2. Let's estimate the standard error, using the given formula, this way:

S.e = √ (0.46 * 0.54)/50 = √0.049 = 0.07

<u>The correct answer is .07</u>

<u>3. </u>Let's calculate the confidence limits of the 90% confidence interval, this way:

Confidence limits = proportion +/- 1.645 * standard error

Confidence limits = 0.46 +/- 1.645 * 0.07

Confidence limits = 0.46 +/- 0.12

Confidence limits = 0.34, 0.58

<u>The correct answer is (34%,58%)</u>

4. <u> </u>Let's calculate the confidence limits of the 95% confidence interval, this way:

Confidence limits = proportion +/- 1.96 * standard error

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Confidence limits = 0.46 +/- 0.14

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3 0
2 years ago
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galina1969 [7]
Get rid of cos2x by dividing both the values. So Sin2x/cos2x +3cos2x/cos2x.
Tan2x = 3
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7 0
2 years ago
F(x)=3x 2 +24x+48f, left parenthesis, x, right parenthesis, equals, 3, x, squared, plus, 24, x, plus, 48 What is the value of th
neonofarm [45]

Answer:

The discriminant of function is 0. There one distinct real number zero of f(x)(repeated roots).

Step-by-step explanation:

We are given the following function in the question:

f(x)=3x^2 +24x+48

We have to calculate the discriminant of the function.

Comparing to

f(x) = ax^2+bx+c

We get,

a = 3\\b=24\\c = 48

Discriminant is given by:

D = b^2-4ac

Putting values, we get,

D = (24)^2-4(3)(48) = 0

Thus, the discriminant of function is 0.

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3 0
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