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hichkok12 [17]
2 years ago
14

The list shows numbers in order from least to greatest. Negative 34, negative 2 and three-fourths, blank, negative 1.5, 0, 2.3,

10, 25 and one-fifth Which is an integer that can be inserted on the blank line in the list?
Mathematics
2 answers:
Slav-nsk [51]2 years ago
8 0

Answer:

(2)

Step-by-step explanation:

...

blsea [12.9K]2 years ago
3 0

Options

  • -2.5
  • -2
  • -1\dfrac{9}{10}
  • -1

Answer:

(B) -2

Step-by-step explanation:

Given the list

-34.-2\dfrac{3}{4} ,x, -1.5,0,2.3,10,25\dfrac15

This list has been arranged in order from the least to the greatest.

We are required to find an Integer that can be inserted on the blank line (I have used x) in the list.

An integer is defined as a positive or negative whole number.

Out of the given options, only -1 and -2 are integers. However:

  • -1 is greater than -1.5

Therefore, it cannot be our result.

The correct answer is -2.

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Grace works as a salesperson at an electronics store and sells phones and phone accessories, and makes a fixed commission for ea
spayn [35]

Answer:

Commissions:

Accessoriy: $2

Phone: $9

Step-by-step explanation:

18p + 21a = 204

6p + 14a = 82

21a = 42

a = 2

p = [82 - 14(2)]/6 = 9

4 0
2 years ago
Read 2 more answers
A car with an initial cost of $23,000 is decreasing in value at a rate of 8% each year. Write the exponential decay function des
zlopas [31]

Answer:

Step-by-step explanation:

We would apply the formula for exponential decay which is expressed as

A = P(1 - r/n)^ nt

Where

A represents the value after t years.

n represents the period for which the decrease in value is calculated

t represents the number of years.

P represents the value population.

r represents rate of decrease.

From the information given,

P = 23000

r = 8% = 8/100 = 0.08

n = 1

Therefore, the exponential decay function described in this situation is

A = 23000(1 - 0.08/n)1)^ 1 × t

A = 23000(0.92)^t

If A = 15000, then

15000 = 23000(0.92)^t

0.92^t = 15000/23000 = 0.6522

Taking log of both sides to base 10

Log 0.92^t = log 0.6522

tlog 0.92 = log 0.6522

- 0.036t = - 0.1856

t = - 0.1856/- 0.036

t = 5 years to the nearest year

3 0
2 years ago
What are the factors of the polynomial function? Use the rational root theorem to determine the factors. f(x) = 2x³ + x² - 8x -
fredd [130]

Answer:

( x + 2 ) ( x - 2 ) ( 2x + 1)

Step-by-step explanation:

coefficient of x³ is 2 and denote it with q and denote -4 as p

the set of possible rational roots through rational theorem will be within ± (p/q)

now factors of -4 are ±(1,2,4) and factors of 2 are ± (1,2) the possible rational roots are ± ( 1/1, 1/2, 2/1, 2/2, 4/1, 4/2) which reduces to ± (1, 1/2, 2, 4)

substitute each of the value into the equation

f(x) = 2x³ + x² - 8x - 4 to the root ( that gives f(x) = 0)

the equation can be made easy writing it in reduced form

2x³ + x² - 8x - 4

(2x³ + x²) - (8x + 4)

x² (2x + 1) - 4 (2x + 1)

(x² - 4) (2x + 1)

( x + 2 ) ( x - 2) ( 2x + 1) are the factors which correspond to 2, -2, -1/2 roots

4 0
2 years ago
The fuel efficiency for a 2007 passenger car was 31.2 mi/gal. For the same model of car, the fuel efficiency increased to 35.6 m
Ierofanga [76]

We have been given that fuel efficiency for a 2007 passenger car was 31.2 mi/gal and the same model of car, the fuel efficiency increased to 35.6 mi/gal in 2012. Also, the gas tank for this car holds 16 gallons of gas.

We need to write a function and graph a linear function that models the distance that each car can travel for a given amount of gas up to one tankful.

Let represent the functions as d_{1}(x) and d_{2}(x)  where d_{1} and d_{2} represent the distances traveled by car in years 2007 and 2012 and x represents the number of gallons. Therefore, we can express the required functions as:

d_{1}(x)=31.2x \text{ and } d_{2}(x) = 35.6x

Domain of both these functions are [0,16] and ranges are [0,499.2] and [0,569.6] respectively for years 2007 and 2012.

The difference function will be:

f(x)=35.6x-31.2x\\
f(x)=4.2x

f(16)=4.2*16=67.2

Domain of this function is [0,16] and range is [0,67.2].

The graphs are shown below.


3 0
2 years ago
From $2003$ onward, the number of daily visitors to a website increased by $200\%$ every two years. So, for example, the number
svetlana [45]
When we say an amount increased by some percentage, we usually mean that percentage is added to the original amount. In symbols, if there were V visitors in 2003, then in 2005 there were
  V + 200%×V = 3V
visitors. And in 2007 (after 2 more years), there were
  3(3V) = 9V
visitors. This represents an increase of
(9V -V)/V × 100% = 800%

The number of daily visitors in 2007 was 800% more than in 2003.
7 0
2 years ago
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