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Fofino [41]
3 years ago
7

Simplify 4(2n -1) – 6n

Mathematics
2 answers:
Zolol [24]3 years ago
5 0

Answer:

2n-4

Step-by-step explanation:

larisa86 [58]3 years ago
4 0

Answer:

2n - 4

Step-by-step explanation:

expand brackets

8n - 4 - 6n

collect like terms

2n - 4

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Kay cuts three (3) pizzas so each of her friend at the table receives ¾ pizza. How many friends are at the table?
jarptica [38.1K]

Answer: B

Step-by-step explanation: Divide the number of pizzas (3) by the fraction each friend will get (¾ or 0.75), which gives you the answer 4.

3÷0.75=4

7 0
3 years ago
Which of the following is a solution to sin(x/2) = radical 3/2
Vinvika [58]

Answer:

sin ( x/ 2 )  =  - √ 3 /2

Take the inverse sine of both sides of the equation to extract  x

from inside the sine.

x/ 2 = arcsin ( − √ 3/ 2 )

The exact value of  arcsin ( − √ 3 /2 )  is  − π /3 .

/x 2 = − π /3

Multiply both sides of the equation by  2 .

2 ⋅ x /2 = 2 ⋅ ( − π /3 )

Simplify both sides of the equation.

x = − 2 π /3

The sine function is negative in the third and fourth quadrants. To find the second solution, subtract the solution from  2 π , to find a reference angle. Next, add this reference angle to  π  to find the solution in the third quadrant.

x /2 = 2 π + π/ 3 + π

Simplify the expression to find the second solution.  

x = 2 π /3  

4 π

Add  4 π  to every negative angle to get positive angles.  

x = 10 π /3

The period of the  sin ( x /2 )  function is  4 π  so values will repeat every  4 π  radians in both directions.

x =2 π /3 + 4 π n , 10 π/ 3 + 4 π n , for any integer  n

Exclude the solutions that do not make  sin ( x /2 ) = − √ 3/ 2  true.

x = 10 π /3 + 4 π n , for any integer  n

4 0
3 years ago
Is x = 6 a solution to the equation 5(x – 3) = x + 13?
deff fn [24]

Answer:

x=6 is not a solution

Step-by-step explanation:

We can substitute 6 as x to find out:

5(6-3)=6+13

first, because of PEMDAS we'll do 6-3

5(3)=6+13

multiply 5 by 3 and add 6 and 13

15=19

Since the statement is not true, that means that x=6 is not a solution

Hope this helps!

8 0
3 years ago
What is the solution set of |-x|=-10?
Airida [17]
There is no solution. Because the absolute value function finds the distance between the number and 0. And length is never negative.

So, |-x| = -10 has no solution.
5 0
3 years ago
Can movement of matter cannot occur without energy transfer
Aleks04 [339]
Yes: example-because if u are running u are using energy
8 0
3 years ago
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