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kondor19780726 [428]
3 years ago
14

What is -4√12+√75 in the simplest radical form?

Mathematics
1 answer:
nekit [7.7K]3 years ago
3 0

Answer: -3\sqrt{3}

Step-by-step explanation:

-4\sqrt{12} + \sqrt{75}

\sqrt{12} can be written as \sqrt{4} x \sqrt{3}

which is the same as 2\sqrt{3}

Also , \sqrt{75} can be written as \sqrt{25} x\sqrt{3} , which is the same as 5\sqrt{3}

Substituting into the main question , we have

-4 (2\sqrt{3} ) + 5\sqrt{3}

= -8\sqrt{3} + 5\sqrt{3}

= -3\sqrt{3}

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The following question has two parts. First, answer part A. Then, answer part B.
Arturiano [62]

Answer:

  Part A:  13.2

  Part B:  see below

Step-by-step explanation:

<u>Part A</u>:

13.245 rounded to tenths is 13.2

<u>Part B</u>:

The rule is ...

  <em>Add 1 in the number place you're rounding to if the digit to its right is 5 or more. Drop (or zero) all digits to the right of the place you're rounding to.</em>

Here, the digit to the right of the tenths place is 4, so no action is taken other than dropping digits to the right of the tenths place.

3 0
3 years ago
Will someone please help me with this because I don't understand and I don't want to fail my class.
Marrrta [24]

Answer:

4y + 1 = 4 - 5y

First option

Step-by-step explanation:

x - 4y - 1 =0; add both sides by + 4y + 1

x - 4y - 1 + 4y + 1 = 0 +  4y + 1

Simplifying

x = 4y + 1

x + 5y - 4 = 0; Add (-5y + 4) to both sides

x + 5y - 4 -5y + 4 = 0 -5y + 4

Simplying

x = -5y +4

x = 4 - 5y

Now you have both equations

x = 4y + 1

x= 4 - 5y

Now you can use the comparison method

4y + 1 = 4 - 5y

3 0
3 years ago
According to 2017 Belgium Labor data information: Adult Population in 2017= 4500, Number of employed in 2017= 2800, and Number o
maks197457 [2]

The labor-force participation rate of Belgium in 2017 was 77.78%

1.

Given:

Adult population = 4500

Number of employed in 2017 = <em>2800</em>

Number of Unemployed in 2017 = 700

Labor force participation rate = (employed + unemployed) / total population × 100

= (2800 + 700) / 4,500 × 100

= 3,500 / 4500 × 100

= 0.777777777777777 × 100

= 77.77777777777777%

Approximately, 77.78%

2.

Given:

Adult Population in 2016 = 3500

Number of employed in 2016 = 1800

Number of Unemployed in 2016= 600

Unemployment rate = unemployed population/ total labor force × 100

= 600 / 3,500 × 100

= 0.171428571428571 × 100

= 17.14285714285714%

Approximately,

17.14 %

Therefore, the unemployment rate of Japan in 2016 was 17.14%

Learn more about unemployment rate:

brainly.com/question/13280244

5 0
2 years ago
Write a quadratic function h whose zeros are - 6 and -5 h (x) =​
ANTONII [103]

Answer:

h(x)= x^2+11x+30

Step-by-step explanation:

A quadratic function is in the form h(x) = ax^2 + bx + c.

Since the zeros are -6 and -5, take the opposite signs and add them to the variable x separately.

It should look like this: h(x)= (x+6)(x+5)

Since this is the factored form, we have to solve this equation further.

h(x)= (x+6)(x+5)

h(x)= x^2+6x+5x+30

h(x)= x^2+11x+30

4 0
3 years ago
What is the range for the amount of hours studied?<br><br><br> 6<br> 18<br> 4<br> 12
Ne4ueva [31]

Answer:

6

Step-by-step explanation:

You take the most amount studied (18) and the least amount studied (12) and subtract them and that would be the range

5 0
3 years ago
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