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2 years ago

14. The table below represents an inverse

Mathematics

1 answer:

Mandarinka [93]2 years ago

4 0

Step-by-step explanation:

Let xy = k, where k is the constant of variation.

By using values of x and y in the table,

we see that (2)(48) = (4)(24) = (12)(8) = 96.

Hence k = 96, which is our answer.

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Of the cars sold during the month of July, 89 had air conditioning, 99 had an automatic transmission, and 74 had power steering.

DedPeter [7]

Answer:

There are a total of 23 cars with air conditioning and automatic transmission but not power steering

Step-by-step explanation:

Let A be the cars that have Air conditioning, B the cars that have Automatic transmission and C the cars that have pwoer Steering. Lets denote |D| the cardinality of a set D.

Remember that for 2 sets E and F, we have that

$|E \cup F| = |E| + |F| - |E \cap F|$

Also,

|E| = |E ∩F| + |E∩F^c|

We now alredy the following:

|A| = 89

|B| = 99

|C| = 74

$|A \cap B \cap C| = 5$

|(A \cup B \cup C)^c| = 24

|A \ (B U C)| = 24 (This is A minus B and C, in other words, cars that only have Air conditioning).

|B \ (AUC)| = 65

|C \ (AUB)| = 26

$|B \cap C| = 11$

We want to know |(A∩B) \ C|. Lets calculate it by taking the information given and deducting more things

For example:

99 = |B| = |B ∩ C| + |B∩C^c| = 11 + |B∩C^c|

Therefore, |B∩C^c| = 99-11 = 88

And |A ∩ B ∩ C^c| = |B∩C^c| - |B∩C^c∩A^c| = |B∩C^c| - |B \ (AUC)| = 88-65 = 23.

This means that the amount of cars that have both transmission and air conditioning but now power steering is 23.

3 0

2 years ago

What is the solution to the quadratic equation 8m^2+7m-15=-7 ?

Aleks04 [339]

Make equal to zero
add7 both sides
8m^2+7m-8=0
quadratic fomrula

if you have
ax^2+bx+c=0
x= $\frac{-b+/- \sqrt{b^{2}-4ac} }{2a}$

8m^2+7m-8=0
a=8
b=7
c=-8

x= $\frac{-7+/- \sqrt{7^{2}-4(8)(-8)} }{2(8)}$
x= $\frac{-7+/- \sqrt{49+256} }{16}$
x= $\frac{-7+/- \sqrt{305} }{16}$

x= $\frac{-7+ \sqrt{305} }{16}$ or x= $\frac{-7- \sqrt{305} }{16}$

aprox
x=-1.52902 or 0.654016

4 0

2 years ago

The owner of a luxury motor yacht that sails among the 4000 Greek islands charges $540 per person per day if exactly 20 people s

lora16 [44]

Answer:

Step-by-step explanation:

Charges up to 20 passengers = $540 per person per day

Total charges = 540 × 20 = $10800

If x passengers above 20 sign up for the cruise then total number of passengers = (20 + x)

Total revenue = $(20+x)

But each fare is reduced by $7 for additional passenger above 20 then revenue generated R(x) = 540(20+x) - 7x

R(x) = 10800 + 540x - 7x

R(x) = 10800 + 533x

a). Revenue per day realized R = 10800 + 533x

b). R(48) = 10800 + 48×533

= $36,384

C). R(78) = 10800 + 78×543

= $53,154

5 0

2 years ago

A reasonable estimate for 697 x 82 = 56,000. is this correct?

tangare [24]

Yes that is correct because for the problem is 56,154 so if you round that will get you 56,000

5 0

2 years ago

Read 2 more answers

Unit 7:Polygons & Quadrilaterals Homework 4: Rhombi and squares

iogann1982 [59]

Based on the quadrilateral given, the values of the missing measures will be:

VU = 15
SU = 21.21
TV = 21.21
SW = 10.61

<h3>Solving quadrilateral.</h3>

A quadrilateral simply means a polygon that has four sides, edges and vertices.

Based on the information given, SU = TV and this will be:

= ✓450 = 21.21

SW = 21.21/2 = 10.61

Also, for the second shape, the values will be:

OM = 46; PN = 23, ON = 46; MN = 46.

Learn more about quadrilateral on:

brainly.com/question/224113

4 0

2 years ago