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3 years ago

15

-4.4>1.6x-3.6? ( greater than or equal to)

1 answer:

irga5000 [103]3 years ago

4 0

Answer:

-.5 ≥x

Step-by-step explanation:

-4.4≥1.6x-3.6

Add 3.6 to each side

-4.4+3.6≥1.6x-3.6+3.6

-.8≥1.6x

Divide each side by 1.6

-.8/1.6≥1.6x/1.6

-.5 ≥x

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Evaluate the function f(x) at the given numbers (correct to six decimal places).

Marysya12 [62]

Answer:

$f(2.1) = 0.512195$

$f(2.05) = 0.506173$

$f(2.01)=0.501247$

$f(2.001) = 0.500125$

$f(2.0001) = 0.500012$

$f(1.9) = 0.487179$

$f(1.95) = 0.493671$

$f(1.99) = 0.498747$

$f(1.999) = 0.499875$

$f(1.9999) = 0.499987$

Step-by-step explanation:

Given

$f(x) = \frac{x^2 - 2x}{x^2 - 4}$

Solve for f(x) for all given values of x

First, we need to simplify f(x)

$f(x) = \frac{x^2 - 2x}{x^2 - 4}$

$f(x) = \frac{x(x - 2)}{x^2 - 2^2}$

$f(x) = \frac{x(x - 2)}{(x- 2)(x + 2)}$

$f(x) = \frac{x}{x + 2}$

When $x = 2.1$

$f(x) = \frac{x}{x + 2}$

$f(2.1) = \frac{2.1}{2.1 + 2}$

$f(2.1) = \frac{2.1}{4.1}$

$f(2.1) = 0.512195$

When $x = 2.05$

$f(x) = \frac{x}{x + 2}$

$f(2.05) = \frac{2.05}{2 + 2.05}$

$f(2.05) = \frac{2.05}{4.05}$

$f(2.05) = 0.506173$

When $x = 2.01$

$f(x) = \frac{x}{x + 2}$

$f(2.01)=\frac{2.01}{2.01 +2}$

$f(2.01)=\frac{2.01}{4.01}$

$f(2.01)=0.501247$

When $x = 2.001$

$f(x) = \frac{x}{x + 2}$

$f(2.001) = \frac{2.001}{2.001 +2}$

$f(2.001) = \frac{2.001}{4.001}$

$f(2.001) = 0.500125$

When $x = 2.0001$

$f(x) = \frac{x}{x + 2}$

$f(2.0001) = \frac{2.0001}{2.0001 + 2}$

$f(2.0001) = \frac{2.0001}{4.0001}$

$f(2.0001) = 0.500012$

When $x = 1.9$

$f(x) = \frac{x}{x + 2}$

$f(1.9) = \frac{1.9}{1.9 + 2}$

$f(1.9) = \frac{1.9}{3.9}$

$f(1.9) = 0.487179$

When $x = 1.95$

$f(x) = \frac{x}{x + 2}$

$f(1.95) = \frac{1.95}{1.95 + 2}$

$f(1.95) = \frac{1.95}{3.95}$

$f(1.95) = 0.493671$

When $x = 1.99$

$f(x) = \frac{x}{x + 2}$

$f(1.99) = \frac{1.99}{1.99 + 2}$

$f(1.99) = \frac{1.99}{3.99}$

$f(1.99) = 0.498747$

$f(x) = \frac{x}{x + 2}$

When $x = 1.999$

$f(x) = \frac{x}{x + 2}$

$f(1.999) = \frac{1.999}{1.999 + 2}$

$f(1.999) = \frac{1.999}{3.999}$

$f(1.999) = 0.499875$

When x = 1.9999

$f(x) = \frac{x}{x + 2}$

$f(1.9999) = \frac{1.9999}{1.9999 + 2}$

$f(1.9999) = \frac{1.9999}{3.9999}$

$f(1.9999) = 0.499987$

<em>Note that all values of f(x) are approximated to 6 decimal places</em>

7 0

3 years ago

The Davis family is moving, and they estimate that they will need a truck with about 1,250 cubic feet. Which truck do would be b

viktelen [127]

I need more info on this question

5 0

3 years ago

Julio has $2.75 in his pocket in nickels and dimes . The number of dimes is 10 less than twice the number of nickels. Find the n

Margaret [11]

Answer:

A dime is worth 2 nickels.

let no of dimes be x

let no of nickles be y

so as per the data mentioned in the question , x=2*y-10

total amount = $2.75

so total amount should comprise of nickels and dimes

x*dimes + y*nickels = $2.75

x*( 2 nickels)+ y *nickels = $2.75

=> nickles( 2x+y) = $ 2.75

but 20 nickels = 1 dollar

nickles(2x+y) = 2.75*20 nickels

cancelling nickles on both sides

2x+y = 55

already we know that x= 2y-10

so 2(2y-10) +y= 55

4y-20+y=55

5y -20 =55

add 20 on both sides

5y-20+20=55+20

5y=75

divide with 5 on both sides

5y/5 =75/5

y= 15

so x= 2y-10

x= 2*15-10

x= 30-10

x= 20

so # of dimes =20

# of nickels =15

4 0

4 years ago

An online retailer monitored the number of goods accepted and returned in an hour for the orders fulfilled by two of its vendors

julia-pushkina [17]

Answer:

Table C

Step-by-step explanation:

Given

-------------------- Vendor I ----- Vendor II

Accepted ----------322 ---------- 307

Returned ----------16 ---------- 14

Required

Determine the table that shows the percentage of goods returned

From the table, we have:

Number of returned goods is:

$Returned = 16 + 14$

$Returned = 30$

For Vendor A, the percentage is:

$Vendor\ A= 16/30 = 0.533$

For Vendor B, the percentage is:

$Vendor\ B= 14/30 = 0.467$

<em>From the list of given options, only table C satisfies this condition.</em>

7 0

3 years ago

Read 2 more answers

aev [14]

Answer:

D) a^6 + a^4

S) step-by-step explanation:

3 0

4 years ago