MATHEMATICS HIGH SCHOOL

Consider the function represented by the equation 1/2j+1/4K=3 which shows the equation written in function notation with k as the independent variable

Answers

Answer 1

Answer:

Answer:

The required expression is:

$k=12-2j$

Step-by-step explanation:

We have been given an expression:

$\fraxc{1}{2}j+(1)/(4)k=3$

We have to write the equation in terms when k is independent.

$(1)/(4)k=3-(1)/(2)j$

$\Rightarrow k=4(3-(1)/(2)j)$

$\Rightarrow k=2(6-j)$

$\Rightarrow k=12-2j$

The required expression is:

$k=12-2j$

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Write 0.31¯¯¯¯¯ as a simplified fraction. Enter your answer as a simplified fraction, formatted like this: 42/53. A) 31/100 B) 31/10 C) 31/99 D) 31/33

Answers

The answer of ‘Write 0.31 as a simplified fraction’ is A) 31/100

Add. Reduce to lowest terms. 6 4/5 + 3 7/10 =

Answers

Answer:

$10(1)/(2)$

Step-by-step explanation:

We are asked to add the given mixed fractions.

$6(4)/(5)+3(7)/(10)$

First of all, let us convert mixed fractions into improper fractions as:

$6(4)/(5)\Rightarrow (6* 5+4)/(5)=(30+4)/(5)=(34)/(5)$

$3(7)/(10)\Rightarrow (3* 10+7)/(10)=(30+7)/(10)=(37)/(10)$

$6(4)/(5)+3(7)/(10)\Rightarrow (34)/(5)+(37)/(10)$

Make a common denominator:

$(34* 2)/(5* 2)+(37)/(10)$

$(68)/(10)+(37)/(10)$

Combine numerators:

$(68+37)/(10)$

$(105)/(10)$

$(5* 21)/(5* 2)$

$(21)/(2)$

$10(1)/(2)$

Therefore, the simplified form of our given addition problem would be $10(1)/(2)$ .

$6 (4)/(5)+3 (7)/(10) = (34)/(5) + (37)/(10) = (34 * 2)/(10)+ (37)/(10) = (2*34+37)/(10) = (105)/(10) = (21)/(2) = 10 (1)/(2)$

Form a union for the following sets. K = {2, 3, 5, 8}
L = {3, 5, 7}
a. { }
b. {3, 5}
c. {2, 3, 5, 7, 8}
d. {2, 7, 8}

Answers

Union of the represented sets should include all the sets without repetition
Here is an example for substituton $A= {1,2,3} B={3,4,5} A union B = {1,2,3,4,5}$ . So, logically, the answer is c. {2, 3, 5, 7, 8}

AuBuCuDuKuL={2,3,5,7,8}

What did the ocean say to the iceburg ?

Answers

Nothing... he just waved.

Answer:

Nothing, he just waved

Step-by-step explanation:

Dad jokes hehehe

Please help me with this and explain how you got the answer. :)

Answers

Answer:

8 1/4

Step-by-step explanation:

6 3/5 ÷ 0.8

6 3/5 = 33/5

0.8 = 8/10

6 3/5 ÷ 0.8

= 33/5 ÷ 8/10

= 33/5 * 10/8 ( Because multiplication and division are inverse operations)

= 33/4

= 8 1/4

Solve the system of equations by substitution.
X=-4y
X+5y=2

Answers

x= -4y let this be equation 1
x+5y=2 let this be equation 2

substitute equation 1 in 2

-4y + 5y = 2

y=2

substitute the value of y in equation 1

x= -4y
x= -4(2)
x= -8

Answer:

It's simply:

x = (-8,2)

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