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3 years ago

What is the slope of the line that passes through the points (7.-12) and (-9,36)?

Mathematics

1 answer:

REY [17]3 years ago

4 0

Answer:

Step-by-step explanation:

m = slope where

m = rise / run

rise = y2 - y1

run = x2 - x1

where

the given point P1 = (7, -12)

and is in the form of (x1,y1)

and

the given point P2 = (-9,36)

is in the form of (x2,y2)

then

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

m = ( 36 - (-12) ) / ( -9 -7 )

m = ( 36 + 12 ) / ( - 16 )

m = 48 / - 16

m = - 3

the slope is negative 3

slope = - 3

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Citrus2011 [14]

Answer:

A) B is greater

B) when C = 21, A = 5 and B = 15

C) A must be 0, 5, or 12 for C to be greater than B

Step-by-step explanation:

A) when a = -3, c = -20 and b = 4(-3)-5 so B = -17

B) when c = 21, a = 5 and b = 4(5)-5 so B = 15

C) C is greater than B when a = 0, 5, and 12

when a = 0, b = 4(0)-5 or -5

when a = 5, b = 4(5)-5 or 15

when a = 12, b = 4(12)-5 or 43

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2 years ago

-5/4 divided by 2 3/4

MArishka [77]

-5/11 is what I got with a fraction calculator.

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3 years ago

The first three terms of a sequence are given. Round to the nearest thousandth (if necessary).

BabaBlast [244]

Step-by-step explanation:

the introduction of a fraction tells us that we are dealing with multiplications, and therefore a geometric sequence (where every new term is created by multiplying the previous term by a constant factor, the ratio r).

I think your teacher made a mistake, or you made one when typing the question in here.

there is no factor r that creates

15×r = 9

and

9×r = 5/27

it would mean that

15 × r² = 5/27

r² = 5/27 / 15 = 5/27 × 1/15 = 5/405 = 1/81

r = 1/9

but 15 × 1/9 = 5 × 1/3 = 5/3 is NOT 9

and 9 × 1/9 = 9/9 = 1 is NOT 5/27

so, this can't be right.

on the other hand

15 × r = 9

r = 9/15 = 3/5

and then

9 × 3/5 = 27/5

so, either the sequence should have been

15, 5/3, 5/27

or (and I suspect this to be true)

15, 9, 27/5

under that assumption we have

s1 = 15

r = 3/5

sn = sn-1 × r = s1 × r^(n-1) = 15 × (3/5)^(n-1)

s10 = 15 × (3/5)⁹ = 15 × 19683/1953125 =

= 3 × 19683/390625 = 59049/390625 =

= 0.15116544 ≈ 0.151

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2 years ago

Kazeer [188]

Answer:

C. quadratic function; quadratic term: −6x^2; linear term: −17x; constant term: −12

Step-by-step explanation:

Answer:

quadratic function; quadratic term: −6x² ; linear term: −17x; constant term: −12

Step-by-step explanation:

The given function is

We need to expand the RHS to get:

We can see that the degree of this polynomial function is 2 and hence it is a quadratic function.

The quadratic term is -6x²

The linear term is -17x

The constant term is -12

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2 years ago

Wiebe Trucking. Inc. is planning a new warehouse to serve the west. Denver, Santa Fe, and Salt Lake City are under consideration

murzikaleks [220]

The total cost curve shows the cost of total shipment from the different

cities.

a. Please find attached the graph of the total cost to quantity of shipment created with MS Excel.

b. The city that provides the lowest overall cost is; <u>Salt Lake City</u>.

Reasons:

The given parameters are;

The number of shipment per = From 550,000 to 600,000 per year

The given table is presented as follows;

$\begin{tabular}{|l|c|c|c|}Location&Annual Fixed Costs&Variable Cost \\Denver&\$5,000,000&\$4.65 \\Santa Fe&\$4,200,000&\$6.25\\Salt Lake City&\$3,500,000&\$7.25\end{array}\right]$

a. Required:

The plot total cost curve for the locations on a single graph.

Solution:

Please find attached the graph of the total cost curves created with MS Excel

b. Required:

The city that provides the lowest overall cost.

Solution:

The two cities with the lowest overall costs are Denver and Salt Lake City.

From the total cost curve, the area under the curves are;

Area under the curve for Denver;

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Therefore;

<u>Salt Lake City provides the lowest overall costs</u>.

Learn more about total cost curves here:

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3 years ago

What is the slope of the line that passes through the points (7.-12) and (-9,36)?​

What is the slope of the line that passes through the points (7.-12) and (-9,36)?