Letf(x) = x + |2x − 5|.find all solutions to the equationf(x) = 10.(enter your answers as a comma-separated list. if an answer does not exist, enter dne.)x = (b) letg(x) = 4x − 6 + |x + 3|.find all values of a which satisfy the equationg(a) = 3a + 9.(enter your answers as a comma-separated list. if an answer does not exist, enter dne.)a =

Part 1 : Given equation,

f(x) = x + |2x − 5|,

We have,

f(x) = 10,

x + |2x - 5| = 10

|2x - 5| = 10 - x

2x - 5 = ±(10-x)

Case 1 : 2x - 5 = 10 - x

2x = 10 - x + 5

2x + x = 15

3x = 15

⇒ x = 5

Case 2 : 2x - 5 = -10 + x

2x = -10 + x + 5

2x - x = -5

⇒ x = -5

Thus, the value of x is 5 or -5

Part 2 : Given equation,

g(x) = 4x − 6 + |x + 3|,

Put x = a,

g(a) = 4a - 6 + |a + 3|

We have, g(a) = 3a + 9

4a - 6 + |a+3|=3a + 9

4a + |a + 3 | = 3a + 9 + 6

|a + 3| = 3a - 4a + 15

|a + 3| = -a + 15

⇒ a + 3 = ±(-a + 15)

Case 1 : a + 3 = -a + 15

a = -a + 15 - 3

a + a = 12

2a = 12

⇒ a = 6

Case 2 : a + 3 = a - 15

a = a - 15 - 3

a - a = -18

0 = -18 ( False )

Thus, the value of a is 6.

part a

in a city ice cream is mostly only bought when the temperature is very high as ice cream cools down our

so we can derive the conclusion that as the temperature increases the number of ice creams sold also increases

part b

y intercept is 5

slope is 2

happy to

pls mark as brainliest

add an image, and i will answer

step-by-step explanation: