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pav-90 [236]
3 years ago
9

Plot the zeros of this function: f(x) = (x – 1)(x – 7).

Mathematics
1 answer:
vredina [299]3 years ago
5 0

Answer:

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Step-by-step explanation:

The zeros of a function is where the function crosses the x-axis. The x-intercepts are the zeros of a function.

f(x) = (x - 1)(x - 7)

Let output equal to 0.

0 = (x - 1)(x - 7)

Set factors equal to 0.

x-1=0\\x=1

x-7=0\\x=7

The zeros of the function are x=1 and x=7.

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butalik [34]

Step-by-step explanation:

remember the priorities of the different mathematical operations

1. brackets

2. exponents

3. multiplications and divisions

4. additions and subtractions

so,

14 + 14/7 = 14 + 2 = 16

8 0
2 years ago
Read 2 more answers
4. Julie saw 3 eagles each day she went bird-watching. How<br> many eagles did Julie see in 6 days?
Umnica [9.8K]

9514 1404 393

Answer:

  18 eagles

Step-by-step explanation:

Assuming Julie went bird-watching on each of those 6 days, she saw a total of ...

  (3 eagles/day)(6 day) = 3·6 eagles = 18 eagles

6 0
3 years ago
Raquel throws darts at a coordinate grid centered at the origin. Her goal is to create a line of darts. Her darts actually hit t
lora16 [44]

Answer:

The line of best fit

y = 0.633x + 0.561

Step-by-step explanation:

The coordinates that the dart hit include

(–5, 0), (1, –3), (4, 5), (–8, –6), (0, 2), and (9, 6)

The x and y coordinates can be written as

x | y

-5|0

1 | -3

4|5

-8|-6

0|2

9|6

So, running the analysis on a spreadsheet application, like excel, the table of parameters is obtained and presented in the first attached image to this solution.

Σxᵢ = sum of all the x variables.

Σyᵢ = sum of all the y variables.

Σxᵢyᵢ = sum of the product of each x variable and its corresponding y variable.

Σxᵢ² = sum of the square of each x variable

Σyᵢ² = sum of the square of each y variable

n = number of variables = 6

The scatter plot and the line of best fit is presented in the second attached image to this solution

Then the regression analysis is then done

Slope; m = [n×Σxᵢyᵢ - (Σxᵢ)×(Σyᵢ)] / [nΣxᵢ² - (∑xi)²]

Intercept b: = [Σyᵢ - m×(Σxᵢ)] / n

Mean of x = (Σxᵢ)/n

Mean of y = (Σyᵢ) / n

Sample correlation coefficient r:

r = [n*Σxᵢyᵢ - (Σxᵢ)(Σyᵢ)] ÷ {√([n*Σxᵢ² - (Σxᵢ)²][n*Σyᵢ² - (Σyᵢ)²])}

And -1 ≤ r ≤ +1

All of these formulas are properly presented in the third attached image to this answer

The table of results; mean of x, mean of y, intercept, slope, regression equation and sample coefficient is presented in the fourth attached image to this answer.

Hope this Helps!!!

7 0
3 years ago
The expected value of a random variable is the
alekssr [168]

Answer:

The expected value of random variable X is often written as E(X) or µ or µX.

Step-by-step explanation:The expected value is the 'long-run mean' in the sense that, if as more and more values of the random variable were collected (by sampling or by repeated trials of a probability activity), the sample mean becomes closer to the expected value.

6 0
3 years ago
10) in a school there are 1500 students. if 60% are boys, find the numbers of boys.​
Debora [2.8K]

Answer:

900

Step-by-step explanation:

.6 * 1500

4 0
2 years ago
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