MATHEMATICS HIGH SCHOOL

A student is trying to solve the set of two equations given below:Equation A: x + z = 6


Equation B: 3x + 2z = 1

Which of the following is a possible step used in eliminating the z-term

Answers

Answer 1
Answer: If you would like to eliminate the z-term, you can do this using the following steps:

x + z = 6       /*(-2)
3x + 2z = 1
_____________
-2x -2z = -12
3x + 2z = 1
_____________
-2x + 3x = -12 + 1
x = -11

The correct result would be x + z = 6       /*(-2).
Answer 2
Answer:

Answer:

Multiply equation A by -2

Step-by-step explanation:

I took the test!

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Find the value of g(5) if g(x)=x3−x.

Answers

Answer:

g(5) = 120

Step-by-step explanation:

to evaluate g(5) , substitute x = 5 into g(x)

g(x) = x³ - x , then

g(5) = 5³ - 5 = 125 - 5 = 120

Two arcades have different pricing structures. Arcade A costs $5 to enter and $0.60 per game. Arcade B costs $7 to enter and $0.40 per game. How many games do you have to play in order for the two arcades to be the same price?

Answers

Answer:

you would have to play 10 games

Answer:

10 games

Step-by-step explanation:

Let C be cost and x be number of games

Arcade A: C = 5 + 0.6x

Arcade B: C = 7 + 0.4x

for both arcades to be the same price, Both C's must be equal, hence we equate the right side of both equations:

5 + 0.6x = 7 + 0.4x   (subtract 5 fromboth sides)

0.6x = 7 + 0.4x - 5

0.6x = 2 + 0.4x  (subtract 0.4x from both sides)

0.6x - 0.4x = 2

0.2x = 2 (divide both sides by 0.2)

x = 2 / (0.2)

x = 10

What is the distance around a triangle that has sides measuring 2 1/8, 3 1/2, and 2 1/2 feet?

Answers

Perimeter = 2 1/8 + 3 1/2 + 2 1/2 = 7 (1 + 4 + 4)/8 = 7 9/8 = 8 1/8

Convert 18/5 to a mixed number

Answers

your answer would be 3 an 3/5 :) hope i helped ! :D:D:D:D:D:D:D
To convert 18/5 to a mixed number all you have to do is divide 18 by five this would give you 3.6 all you have do do after that would be to change it back into a fraction.

Find two consecutive numbers whose sum is 117

Answers

So,

x + y = 117
y = x + 1
x + x + 1 = 117

Collect Like Terms
2x + 1 = 117

Subtract 1 from both sides
2x = 116

Divide both sides by 2
x = 58

y = x + 1

y = 58 + 1

y = 59

The 2 consecutive integers are 58 and 59.
n+n+1=117\n2n=116\nn=58\nn+1=59

These numbers are 58 and 59.

Please help i'm struggling with this!

Answers

Answer:

second option is correct (for question no 20)

Step-by-step explanation:

coordinate points are:

(3,1) = (x1,y1)

(5,9) = (x2,y2)

slope (m) = y2-y1/x2-x1

=9-1/5-3

=8/2

=4

Now using slope intercept form

y=mx + b

y=4x + b

since the line passes through the point (3,1) it satisfies the equation

y=4x + b

1=4*3 + b

1-12 = b

-11 = b

substituting the value of b in equation

y=4x + b

y=4x +(-11)

y=4x - 11
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