MATHEMATICS HIGH SCHOOL

Solve the equation 6x +2y = 10 for y in terms of x gives what function?y = -6x +10
y = -3x +5
y = 2x
y = 3x + 5

Answers

Answer 1
Answer:

The correct equation for y in terms of x would be, y = - 3x + 5

Hence, option 2 is true.

Used the concept of an equation that states that,

An equation is a group of numerical variables and functions that have been combined using operations like addition, subtraction, multiplication, and division.

Given that the expression is,

6x + 2y = 10

Now, simplify the equation for y in terms of x as,

6x + 2y = 10

Subtract both sides by 6x,

2y = - 6x + 10

Divide both sides by 2,

y = - 3x + 5

So, The correct equation would be, y = - 3x + 5

Thus, option 2 is true.

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Answer 2
Answer:

Answer:

y = - 3x + 5

Step-by-step explanation:

Given

6x + 2y = 10 ( subtract 6x from both sides )

2y = - 6x + 10 ( divide all terms by 2 )

y = - 3x + 5

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Answers

x/4-9=5
x/4=14
x=14/4
x=7/2
x=3.5

There were 28 boys on the boy's basketball team and 16 girls on the girl's basketball team last year. This year the number of boys decreased by 8% but the number of girls increased by 19%. Was there an increase or decrease in overall participation?

Answers

There is an increase in total participants.

What is unitary method?

The unitarymethod is a technique for solving a problem by first finding the value of a single unit, and then finding the necessary value by multiplying the single unit value.

Given:

number of boys = 28

Number of girls = 16

Total participants = 28 + 16 = 44

Now, there is decrease in number of boys by 8%

= 28- 8%  x 28

=28- 8/100 x 28

=28 - 0.08*28

=28 -2.24

= 25.76

and, there is 19% increase in number of girls

=16 + 0.19 x 16

=16 + 3.04

=19.04

So, total participants = 25.76 + 19.04

= 44.8

Hence, there is an increase in total participants.

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I’m pretty sure it decreased, apologies if I got this wrong

The sum of participants last year was 44 students, but this year was only 37.80 participants.

The addition property of equality lets you say that if 2x-5=10 then 2x =____15
5
7.5
20

Answers

Answer:

15

Step-by-step explanation:

2x-5=10?

So if you put in 7.5 instead of X, the sum will be 15

So 15-5=10.

In this case 15 will be the answer.
15 because 10+5=15
when one number moves from left side to right side or right side to left side, signs changes;
that mean plus becomes minus and minus becomes plus

Identify which table shows a direct variation.A.
Table 1 only







B.
Table 2 only







C.
both tables







D. neither table

Answers

the answer is A. Table 1 only the second table should be going by 9.6 but it isn't.

Match the sequence with the correct indicated term.

1)a1 = -4, d= -9, n=20
2)a1 =20, d=4, n=81
3)a12 for 8,3,-2,...

Answers
A)340
B)-47
C)-175
D)94

*PLEASE EXPLAIN*

Answers

1) an = a1 + d*(n-1) => a20 = -4 + (-9)*19 = -4 - 171 = - 175
1) ---> C)

2) a81 = 20 + 4*80 = 340;
2) ---> A)

3) a12 = ?
3) ---> B) or D).

Which property is illustrated by the following statement 3z+4=4+3z

Answers

The expression 3z+4 = 4+3z represents the commutative property of addition.

What is cumulative property?

The cumulative property states that if the position of the numbers when they are in addition is changed then it will not affect the final result of the addition. If altering the operands' order has no effect on the outcome, the binary operation is commutative in mathematics.

The commutative property basically states that x+y can be flipped yet have the same meaning so x+y = y+x ~

The given expression 3z+4=4+3z is showing the cumulative property of addition. By changing the position of the additional terms the final result will not change.

Therefore, the expression 3z+4 = 4+3z represents the commutative property of addition.

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3z+4 = 4+3z represents the commutative property , the commutative property basically states that x+y can be flipped yet have the same meaning so x+y = y+x ~
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