True or False 1) Adding two negative integers always yields a negative sum.

2) The product of a positive integer and a negative integer is a positive integer.

3) The quotient of two negative integers or two positive integers is a negative integer.

4) Every integer has an opposite which is considered to be an equal distance from zero (0) in the opposite way.

5) The quotient of a positive integer and a negative integer is a positive integer.

6) In addition of integers, we used number line to find the sum of integers.

7) The product of two negative integers or two positive integers is a negative integer.

8) Adding two positive integers always yields a positive sum.

9) Subtrahend Inverse can be applied when you are performing subtraction of integers.

10) Every integer has an opposite which is considered to be at an equal distance from one.

Will mark brainliest

1) The sum of any integer and its opposite is equal to zero

2)The product of a positive integer and a negative integer is always a positive integer

3) if the signs are the same the quotient will be positive, if they are different, the quotient will be negative

5)the quotient of a positive integer and negative integer is sometimes be positive.

6) True, when two positive integers are added, the resultant number is also a positive integer

7)false the sum of two negative integers is a negative integer

8) The sum of any integer and its opposite is equal to zero, adding teo positive integers always yields a positive sum

10)true

I hoped I helped :)

a) $ 9.50

b) 17

c) y-intercept (0, 12). this is the initial amount of money that joe had prior to playing any game.

d) x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e) slope is -0.5. joe's balance will reduce by 0.5 for every game that he plays.

f)

domain; [0,24]

range; [0,12]

g) x + 2y = 24

step-by-step explanation:

a)

if joe plays 5 games, this will imply that x = 5. substitute x = 5 in the equation and solve for y;

y = -.50x + 12

y = -0.50(5) + 12

y = 9.50

b)

if joe leaves the arcade with $3.50, this will mean that y = 3.50. plug in y = 3.50 in the given equation and solve for x;

y = -.50x + 12

3.50 = -0.50x + 12

0.50x = 12 - 3.50

0.5x = 8.5

x = 17

c)

the function given is   y = -.50x + 12.

the y-intercept is the point where the graph of this function will intersect the y-axis. at this point, the value of x is usually 0. plug in x = 0 in the given equation and determine y;

y = -0.50(0) + 12

y = 12

the y-intercept is thus (0, 12). this is the initial amount of money that joe had prior to playing any game.

d)

the x-intercept refers to the point where the graph of a function intersects with the x-axis. at this point, the value of y is 0. substitute y = 0 in the given equation and solve for x;

0 =   -.50x + 12

0.5x = 12

x = 24

x-intercept ( 24, 0). this is the number of games that joe will play before he depletes the initial amount of money that he had.

e)

the slope of the given equation is -0.5. the equation has been given in slope-intercept form. thus the slope is simply the coefficient of x.

joe's balance will reduce by 0.5 for every game that he plays. this is the interpretation of the slope.

f)

domain is the set of x values for which the function is real and defined. the domain will thus be; [0,24]. this will restrict the balance to only assume positive values.

on the other hand, the range is the set of y values for which a function is real and defined. the range in our case will be [0,12]. joe can have between $0 and $12 balance.

g)

the standard form of the equation of a straight line is;

ax + by = c

where a, b, and c are integers.

our equation is given as;

y = -.50x + 12

re-writing the equation we have;

0.5x + y = 12

divide all through by 0.5;

x + 2y = 24

sadsdda

step-by-step explanation: