what equation can be used to represent "six added to twice the sum of a number and four is equal to one-half of the difference of three and the number"?

6+2(n+4) = (3-n)÷2

Step-by-step explanation:

6 + 2n + 8 = (3-n)/2

14 + 2n = (3-n)/2

multiply through by 2 to eliminate the denominator

28 + 4n = 3 - n

25 + 4n = -n

25 = -5n

n = -5

let soccer = x and golf = y

part a

1st equation: x + y = 125

2nd equation: x = y +45

part b

replace x in the 1st equation with the 2nd one:

y + 45 + y = 125

simplify:

2y + 45 = 125

subtract 45 from each side:

2y = 80

divide both sides by 2:

y = 80/2

y = 40

she plays golf for 40 minutes.

part c

no because she plays soccer for 45 minutes longer than golf 40 +45 =   85 minutes, not 80 minutes.

the answer is the option b

the range is all real numbers

step-by-step explanation:

we know that

the absolute value parent function is equal to

see the attached figure to better understand the problem

so

a. it is v-shaped > is true

b. the range is all real numbers > is not true

because the range is the > [0,∞)

all real numbers greater than or equal to zero

c. it goes through the origin > is true

d. the domain is all real numbers > is true

step-by-step explanation: