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NeTakaya
4 years ago
15

Determine the slope of the line that passes through the points (8, 0) and (-3, 9)

Mathematics
2 answers:
Leona [35]4 years ago
6 0

Answer:

-9/11

Step-by-step explanation:

The slope of the line is given by

m = (y2-y1)/(x2-x1)

   = (9-0)/(-3-8)

  = 9/-11

  = -9/11

AleksAgata [21]4 years ago
3 0

Answer:

Step-by-step explanation:

First of all, we need to remember what a slope is. This math concept is attached to lines or linear functions which graph is a line. So, a concept that defines lines is its inclination, which is called in math as Slope. So, basically, the slope refers to the amount of inclination of an specific line or linear function, which can be calculated with this equation: m = \frac{y_{2}-y_{1}  }{x_{2}-x_{2}  }

In this case, x_{1} y_{1} refers to the coordinates of the first point: (8,0)

And, x_{2} y_{2} refers to the coordinates of the second point (-3,9)

So, applying all to the equation to find the slope:

m = \frac{y_{2} - y_{1} }{x_{2} - x_{1} } = \frac{9-0}{-3-8} = \frac{9}{-11}

Hence, the slope is m = -\frac{9}{11}

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I believe that the answer is B 17
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4 years ago
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Find the domain and range of the function f(x) = 3x^2 - 5.Also find f(-3) and the numbers which are associated with the number 4
Delicious77 [7]

Domain:


This function is a polynomial, i.e. a sum of powers of a variables, each with its coefficient. Polynomials are defined for every possible value of the variable, so the domain is the whole real number set: D = \mathbb{R}


Range:


A polynomial of degree 2 represents a parabola. Since the leading coefficients, i.e. the coefficient of the term with highest degree, is positive (in this case, it's 3), the parabola is concave up. It means that it has a minimum, and it's unbounded from above. So, the range is something like [a,\infty). To find the minimum, let's start with the "standard" parabola y=x^2, and transform it to the one of this exercise. y=x^2 has minimum 0, and thus its range is [0,\infty). When you multiply it times three, its shape narrows, but the range wont change: [0,\infty) \to [3\cdot 0,3\cdot \infty) = [0,\infty). Finally, when you subtract 5, you shift everythin down 5 units. This transformation affects the range, since you have [0,\infty) \to [0-5,\infty-5) = [-5,\infty)


Image of -3:


To compute f(-3), simply plug x=-3 in the formula:


f(-3) = 3(-3)^2-5 = 3\cdot 9 - 5 = 27-5 = 22


Numbers associated with 43:


We want to see which x value we must choose to get a y value of 43. So, the equation is


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4 0
3 years ago
What is the integer closest to zero?
ANEK [815]

Answer:

The answer is 25

Step-by-step explanation:

What I would is to first divide 78 by 3. That will get you 26. Then add one to get 27, subtract one to get 25. 25+26+27=78

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8 0
4 years ago
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HELP IN THIS QUESTION PLZ
Alchen [17]
It would be the second one
8 0
3 years ago
2.
german

Answer:

P(t)=2500(1.04)^t

Step-by-step explanation:

None of your proposed answers has an exponent <em>t</em>.

Here's the logic behind the answer:

Year 0: pop. = 2500

Year 1:  pop. = 2500(1.04)  That is 104% of the previous year's pop.

Year 2: pop. = 2500(1.04)(1.04) = 2500(1.04)^2

Year 3: pop. = 2500(1.04)^2 x (1.04) = 2500(1.04)^3

See the pattern?  The exponent matches the year number.

6 0
3 years ago
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