Find the slope between these two points: (4,7).(-6, -4)

Mathematics

1 answer:

Fudgin [204]3 years ago

5 0

Answer:

1.1

Step-by-step explanation:

slope = (-4-7)/(-6-4)= -11/-10 = 1.1

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A company is planning to set up a new manufacturing plant for giant inflatable beach balls and believe the costs follow a linear

Jet001 [13]

The cost(y) of producing x number of balls is given by the linear model y = 3.25x + 685000

Linear equation

A linear equation is in the form:

y = mx + b

where y, x are variables, m is the rate of change (slope) and b is the y intercept.

Let y represent the cost of producing x number of beach balls.

Using the point (10000, 587500) and (50000, 717500):

$y-y_1=\frac{y_2-y_1}{x_2-x_1} (x-x_1)\\\\y-717500=\frac{717500-587500}{50000-10000} (x-10000)\\\\y=3.25x+685000$

The cost(y) of producing x number of balls is given by the linear model y = 3.25x + 685000

Find out more on Linear equation at: brainly.com/question/14323743

8 0

2 years ago

n music, a quaver is one-eighth of a semibreve (whole note). What fraction of a semibreve is a hemidemisemiquaver? (Hint: hemi-,

Dmitry [639]

Answer:

$\dfrac{1}{64}$

Step-by-step explanation:

Hemi-, demi- and semi- are prefixes which mean half.

When applied to musical notation, each time a prefix is added it means the note's value is halved.

Therefore, if a quaver is one-eighth of a semibreve, then a semiquaver is half of a quaver, which means it's one-sixteenth of a semibreve.

$\large \begin{aligned}\sf quaver & = \sf\dfrac{1}{8}\:of\:a\:semibreve\\\\\implies \sf hemisemidemiquaver & = \sf \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2} \times quaver\\\\& = \sf \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{2} \times \dfrac{1}{8}\\\\& = \sf \dfrac{1}{64}\:of\:a\:semibreve\end{aligned}$