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2 years ago

Please help me with this. thank you!

Mathematics

2 answers:

Firlakuza [10]2 years ago

6 0

Answer:

1. y = mx + b

Step-by-step explanation:

y = mx + b

2) to find the y intercept you need to see what cross | ( 8,5)

3) 5 = m(8) = b

4) your slope is negative form the why it pointing

5) in this case your slope is 1/3

6) so now you can do your first step now that you have your (y,x) and slope (your solving for (b)

5 = 1/3 (8) + b

5 = 2.6 + b

5 = 2.6

-2.6

2.4 = b

notsponge [240]2 years ago

4 0

Answer:

Step-by-step explanation:

Let's use the two noted points for the calculation of slope:

Point 1: (2,8) and

Point 2: (6,4)

These become our (x1,y1) and (x2,y2).

------------------

We are trying to find a straight line equation of the form y = mx+b, where m is the slope and b is the y-intercept (the value of y when x = 0).

The slope:

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

m = (4 - 8)/(6 - 2)

m = -4/4

m = -1

This gives us y = -1x + b

-----

Find b by entering either of the two given points. I'll use (6,4):

y = -1x + b

4 = -1(6) + b

b = 10

The equation is now y = -x + 10

--------

Find the value of y when x = 9:

y = -x + 10

y(9) = -(9) + 10

y(9) = 1

===========

This graph has a negative trend. Y decreases as x increases. It crosses the y axis at 10 when x is 0, and is only positive when x < 10. See the attached graph. Note that the graph of this line does not intersect many of the points on the original graph. They fall to either side, and are not consistent with a single line equation. The general, negative trend of slope - 1 trend holds true, however, so one might conclude errors may have been made in collecting the data. That is clearly due to your lab partner. [Well, you might try a better explanation]. A craftier person might calculate a standard deviation of error for the line, but that's next semester. It is worthwhile noting that a selection of two points other than the ones chosen above for calculating slope, would result in different equations. We selected the two points used here ((2,8) and (6,4)) because they are clearly noted on the chart.

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Alchen [17]

Answer:

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Step-by-step explanation:

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Hint #2

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\qquad 0.9 \cdot \$41 = \$36.900.9⋅$41=$36.900, point, 9, dot, dollar sign, 41, equals, dollar sign, 36, point, 90

Hint #3

There are 40 - 20 = 2040−20=2040, minus, 20, equals, 20 licenses at the reduced price of \$36.90$36.90dollar sign, 36, point, 90. Thus, the remaining 202020 licenses cost a total of \$36.90 \cdot 20 = \$738$36.90⋅20=$738dollar sign, 36, point, 90, dot, 20, equals, dollar sign, 738.

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3 years ago

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Alja [10]

Answer:

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Step-by-step explanation:

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3 years ago

7x − 11 = 31<br> pls help me with this question

Katarina [22]

Answer:

Step-by-step explanation:

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3 years ago

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CaHeK987 [17]

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3 years ago

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a geometric series where the first term is -12, the last term is -972, and each term after the first is triple the previous term

Luba_88 [7]

Answer:

the geometric series is a(n) = -12(3)^(n-1)

Step-by-step explanation:

"Triple" denotes multiplication by 3. Thus, the common factor here is 3.

The general formula for a geometric series is a(n) = a(1)(r)^(n-1), where a(1) is the first term, r is the common ratio.

Here, we have a(n)= (-12)(3)^(n-1) = -972.

We need to solve this for n, which represents the last term.

The first step towards solving for n is to divide both sides by -12:

3^(n-1) = 81

To solve for n-1, rewrite 81 as 3^4. Then we have:

3^(n-1) = 3^4, implying that (n-1) = 4 and that n = 5.

Then we know that it is the 5th term that equals -972.

In summary, the geometric series is a(n) = -12(3)^(n-1).

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3 years ago