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3 years ago

HELP PLEASE Evaluate x-4/2 when x = –1.6.

2 answers:

7 0

X - 4/2 ; where x = -1.6

Substitute x by its value.

-1.6 - 4/2 *as you notice, one number is in decimal and the other is in fraction form. We need to convert one form to the other to make the numbers like numbers so that solving the equation will be easier and less confusing.

4/2 can easily be converted into decimal by dividing 4 by 2 which equals to 2.

So, -1.6 - 2 = ? The operation is a subtraction, but the other number is in negative form, if both numbers have the same sign, we add them up and the sign is carried over to the sum.

-1.6 -2 = -3.6 * we add 1.6 + 2 = 3.6, then we carry over its negative sign = -3.6

Elis [28]3 years ago

4 0

X- 4/2
= x- 2
= -1.6 -2
= -3.6

The final answer is -3.6~

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Can someone explain how to do this please?

Rufina [12.5K]

for the columns where is less than or equal zero, use the first line of the function to calculate the value of f(x)

${ ( \frac{1}{3} ) }^{ - 2} - 1 = 9 - 1 = 8 \\ { ( \frac{1}{3} ) }^{ - 1} - 1 = 3 - 1 = 2 \\ { ( \frac{1}{3} ) }^{ 0} - 1 = 1 - 1 = 0$

for every x greater than zero, use the second line to determine the value

${3}^{1} - 2 = 3 - 2 = 1 \\ {3}^{2} - 2 = 9 - 2 = 7$

hope this helps and gives some insight what to do.

if there are open questions left, feel free to ask them in the comments

have a beautiful day

-Alex

3 0

3 years ago

What is the answer to 28 3/8- 19 5/6 and 18 2/5- 9 13/15

ZanzabumX [31]

Each of the problems asks you to a similar idea: get a common denominator with the fractions and then subtract.

Problem 1: 28 3/8 - 19 5/6

The factors of 8 are 2, 2, and 2. The factors of 6 are 2 and 3. We take one two that's repeated, two more twos from 8, and a 3 for the common denominator. So, 2 * 2 * 2 * 3 = 24 is the lowest common denominator (LCD).

Now change the fractions to the common denominators

3/8 = ? / 24 We go from 8 to 24 multiplying by 3, so 3 multiplied by 3 is 9.

5/6 = ? / 24 We go from 6 to 24 multipling by 4, so 5 multiplied by 4 is 20.

Then,

28 3/8 - 19 5/6

= 28 9/24 - 19 20/24 <----use common denominators

= 27 33/24 - 19 20/24 <--- borrow from the whole number

= 8 13/24 <---- subtract whole numbers and fraction numerators

Problem 2 works similarly to problem 1, with an LCD of 15.

18 2/5 - 9 13/15

= 18 6/15 - 9 13/15

= 17 21/15 - 9 13/15

= 8 8/15

Thus the differences are 8 13/24 (1st) and 8 8/15 (2nd).

3 0

3 years ago

In a flight of 600 km, the speed of the aircraft was slowed down due to bad weather. The average speed of the trip was decreased

UkoKoshka [18]

The average speed would be 600 km/hr.

Step-by-step explanation:

Let the original speed be 'x'

Let the decreased speed be 'x-200'

Distance = 600 km

Time increased by 30 minutes

According to question, it becomes,

$\dfrac{600}{x-200}-\dfrac{600}{x}=\dfrac{30}{60}\\\\\dfrac{x-(x-200)}{x^2-200x}=\dfrac{1}{2\times 600}\\\\\dfrac{200}{x^2-200x}=\dfrac{1}{1200}\\\\240000=x^2-200x\\\\x^2-200x-240000=0\\\\x=600,-400$

So, The average speed would be 600 km/hr.

5 0

3 years ago

Paula sets off from home at 13:20 and drives to Taunton for km at a speed of km/h. After 40 minutes, she drives back home on the

Veronika [31]

Answer:

Paula will arrive at her house at 15:20.

Step-by-step explanation:

Since Paula sets off from home at 13:20 and drives to Taunton for km at a speed of km / h, and after 40 minutes, she drives back home on the same route, but drives twice as slowly, to determine at what time Paula will arrive back home, the following calculation must be performed:

13:20 + 00:40 + (00:40 x 2) = X

14:00 + 1:20 = X

15:20 = X

So, Paula will arrive at her house at 15:20.

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3 years ago

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Serjik [45]

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6 0

3 years ago