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leonid [27]
3 years ago
13

What is the y intercept of the line passing through the point (5,-6) with the slope of -1/7

Mathematics
1 answer:
Agata [3.3K]3 years ago
6 0

Answer:

The equation of the line would be y = -1/7x - 37/7

Step-by-step explanation:

In order to find this, we need to start with point-slope form.

y - y1 = m(x - x1)

Now we can input the slope in for m and the point in for (x1, y1)

y + 6 = -1/7(x - 5)

y + 6 = -1/7x + 5/7

y = -1/7x - 37/7

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What is a cubic polynomial function in standard form with zeros 1,1,and -3?
Mekhanik [1.2K]

Answer:

f(x) = x³ + x² - 5x + 3

Step-by-step explanation:

The cubic polynomial has zeros at 1, 1, - 3.

Therefore, x = 1, 1, - 3 are the roots of the polynomial and hence, (x - 1), (x - 1) and (x + 3) will be factors of the cubic polynomial.

Hence, we can write the polynomial as a function of x as

f(x) = (x - 1)(x - 1)(x + 3)

⇒ f(x) = (x² - 2x + 1)(x + 3)

⇒ f(x) = x³ - 2x² + 3x² + x - 6x + 3

⇒ f(x) = x³ + x² - 5x + 3

So, this is the cubic polynomial function in standard form. (Answer)

8 0
3 years ago
The average number of employees that call in sick for the day over the course of a year is 25.
sveta [45]

Answer:

<h3>x¯= 23.8 </h3><h3>μ= 8.2 </h3>

Step-by-step explanation:

<h3>Find the mean. </h3>

 

The mean of a set of numbers is the sum divided by the number of terms.

x¯= <u>25+10+16+39+27+25+32+25+25+22+28+14</u>

                                   11

<h3>Simplify the numerator. </h3>

x¯ = <u>261.27</u>

            11

<h3>Divide  261.27 by 11 </h3>

x¯= 23.75 18

<h3>Divide. </h3>

x¯= 23.75 18

The mean should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

x¯=23.8

<h3>Simplify each value in the list. </h3>

25,10,16,39.27,25,32,25,25,22,28,14

Set up the formula for sample standard deviation. The standard deviation of a set of values is a measure of the spread of its values.

s=  n^∑  i=1    √(<u>xi−xavg</u>)²

                            N-1

             

Set up the formula for standard deviation for this set of numbers.

s= ⎷(25−23.8)²+(10−23.8)²+(16−23.8)²+(39.27−23.8)²+(25−23.8)²+<u>(32−23.8)²+(25−23.8)²+(25−23.8)²+(22−23.8)²+(28−23.8)²+(14−23.8)</u>²

                                       11−1

<h3>Simplify the result. </h3>

 

s= √68.05209

The standard deviation should be rounded to one more decimal place than the original data. If the original data were mixed, round to one decimal place more than the least precise.

8.2

7 0
3 years ago
Read 2 more answers
PLEASE HELP! I am having trouble with both questions
schepotkina [342]

Answer:

someone had the same exact question i just helped him on it sub 4 for x and 1 for h

Step-by-step explanation:

6 0
2 years ago
ABCD is a parallelogram. What is the measure of ∠ACD?
Igoryamba

Step-by-step explanation:

Here

5x+16+7x-3+6x+5 = 180(being sum of triangle)

or, 18x=180-18

or, x= 162/18

so, x = 9

now,

here,

<ACD = <ACB(diagonals of parallelogram bisect eachother)

or, <ACD = 7x-3

or, <ACD = 7×9-3

or, <ACD = 63-3

So, <ACD = 60°

8 0
2 years ago
Solve the exponential equation for x. 625 = 5 (7x-3)
posledela

Answer:

<h2>A. x = 1</h2>

Step-by-step explanation:

5^{7x-3}=625\\\\5^{7x-3}=5^4\iff7x-3=4\qquad\text{add 3 to both sides}\\\\7x=7\qquad\text{divide both sides by 7}\\\\x=1

7 0
3 years ago
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