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3 years ago

Solve 6 2/3 -1 1/2+4 1/6

Mathematics

1 answer:

Tju [1.3M]3 years ago

8 0

Answer:

9 1/3

Step-by-step explanation:

Make 2/3 , 1/2 , & 1/6 have the same denominator. 6 is the least common multiple for all 3 fractions.

2/3 gets multiplied by 2/2

1/2 gets multiplied by 3/3

1/6 stays the same

2/3 becomes 4/6

1/2 becomes 3/6

1/6 stays 1/6

Follow the order of operations from the original equation.

4/6 - 3/6 = 1/6 then 1/6 + 1/6 = 2/6

6 - 1 = 5 then 5 + 4 = 9

Simplify 2/6 to 1/3

Remember to add 1/3 back to 9 making it 9 1/3

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Does anyone know the fraction pairs for these? Please help ASAP!

pishuonlain [190]

Answer:

dividing denominators

Step-by-step explanation:

you say for example 12/5, means 12 divides 5 is going to give something 2.4, so as the answer is gonna be 2 hole number 4/5.

3 0

4 years ago

Given the functions f (x)=\x] and g(x)= 2 x + 31 – 4 a. Determine the

Arisa [49]

Functions can be transformed through translation, dilation, etc.

The changes are horizontal translations and vertical compression.
The domain of f(x) is $(-\infty,\infty)$ , while its range is $(0,\infty)$
The domain of g(x) is $(-\infty,\infty)$ , while its range is $(-4,\infty)$

We have:

$f(x) = |x|$

$g(x) = 2|x - 3| - 4$

(a) The changes from f(x) to g(x)

First, f(x) was translated to the left by 3 units.

The rule is:

$(x,y) \to (x-3.y)$

So, we have:

$f'(x) = |x - 3|$

Next, the function is compressed vertically by 2

The rule is:

$(x,y) \to (x,2y)$

So, we have:

$f"(x) = 2|x - 3|$

Lastly, the function is translated down by 4 units.

The rule is:

$(x,y) \to (x, y - 4)$

So, we have:

$g(x) = 2|x - 3| - 4$

Hence, the changes are horizontal translations and vertical compression.

(b) Analyze f(x) and g(x)

f(x)

It spans across the x-axis; so, its domain is $(-\infty,\infty)$

The y values start from 0 and opens upward; so, its range is $(0,\infty)$

It crosses the x and y axes at 0; so its intercepts are 0.

g(x)

It spans across the x-axis; so, its domain is $(-\infty,\infty)$

The y values start from -4 and opens upward; so, its range is $(-4,\infty)$

It crosses the x-axis at -1 and -5; so its y-intercepts are -1 and -5

It crosses the y-axis at 2; so its x-intercept is 2

Read more about function transformation at:

brainly.com/question/13810353

4 0

3 years ago

Which of the following is equivalent to the expression

nata0808 [166]

A.) i is the answer

5 0

3 years ago

.....................................

Tatiana [17]

Answers: A , B , and D are correct.
________________________________________________________
The following statements are true and correct:
____________________________________________________
[A]: y is a function of x .
____________________________________________________
[B]: The graph of the relationship is a line.
____________________________________________________
[D]: When the input is -2, the output is 3.
____________________________________________________

Note:
____________________________________________________
Choice: [C]: "When the input is -3, the output is 4 ." → is INCORRECT.

Note: When the input is -3, the output is "4 ⅓";
that is, when x = -3, y = 4 ⅓ .
_____________________________________________________
Choice: [E]: "The y-intercept of the relationship is: (0,1)." → is incorrect.

Note: The y-intercept refers to the value of "y" where the line crosses the "x" axis. From the equation; and form the graph, we see that the y-intercept is: "⅓" ; or, "(0, ⅓)" .
________________________________________________________
Here is the graph of the equation:
____________________________________________
y = $- \frac{4}{3} x + \frac{1}{3}$ ;
_____________________________________________

5 0

3 years ago

Michelle's father deposited $1,000 into a savings account when she was born. The annual interest rate is

Zarrin [17]

Answer:

0. $1,000 1. $1,045 2. $1,092.03 3. $1,141.17 4. $1,192.52. 5. $1,246.18 6. $1,302.26 7. $1,360.86 8. $1,422.10

Step-by-step explanation:

First you start with the beginning balance of $1,000 dollars, then you multiply that by 1.045 to get $1,045 dollars after one year. Then you multiply $1,045 by 1.045 to get $1,092.025 (monetarily correct, it would be $1,092.03) after the second year. Then you multiply $1,092.025 (keeping it un-rounded for precision) by 1.045 to get $1,141.16612 after the third year. Then you multiply $1141.16612 by 1.045 to get $1,192.5186 after the fourth year. Multiply $1,192.5186 by 1.045 to get $1,246.18193 after the fifth year. Multiply $1,246.18193 by 1.045 to get $1,302.26012 after the sixth year. Multiply $1,302.26012 by 1.045 to get $1,360.86182 after the seventh year. Multiply $1,360.86182 by 1.045 to get $1,422.10061 after the eighth year. Basically, Michelle is going to be a trust fund baby by the time she's twenty and she won't have to worry about college if she works hard and does well in high school.

8 0

3 years ago

Solve 6 2/3 -1 1/2+4 1/6​

Solve 6 2/3 -1 1/2+4 1/6