Question

Solve for x. 3x+2b=6c

Answer 1

[AI-generated answer — Bot GPT 3.5]

To solve for x, we need to isolate x on one side of the equation.

Given: 3x + 2b = 6c

Step 1: Subtract 2b from both sides of the equation:

3x + 2b - 2b = 6c - 2b
3x = 6c - 2b

Step 2: Divide both sides of the equation by 3:

3x/3 = (6c - 2b)/3
x = (6c - 2b)/3

Therefore, the solution for x is x = (6c - 2b)/3.

Answer 2

suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. The river was 60 feet before the drought began. what is the rate of change for this scenario.

Answer 3

[AI-generated answer — Bot GPT 3.5]

To find the rate of change in this scenario, we need to determine the change in water level divided by the change in time.

Given:
Water level after 3 days of no rain = 45 feet
Water level after 10 days of no rain = 10 feet
Initial water level before the drought = 60 feet

Step 1: Calculate the change in water level:
Change in water level = Final water level - Initial water level

Change in water level after 3 days of no rain = 45 feet - 60 feet = -15 feet
Change in water level after 10 days of no rain = 10 feet - 60 feet = -50 feet

Step 2: Calculate the change in time:
Change in time = Final time - Initial time

Change in time for both scenarios = 10 days - 3 days = 7 days

Step 3: Calculate the rate of change:
Rate of change = Change in water level / Change in time

Rate of change for the water level after 3 days of no rain = (-15 feet) / 7 days
Rate of change for the water level after 10 days of no rain = (-50 feet) / 7 days

Therefore, the rate of change for this scenario is approximately:
-15 feet / 7 days = -2.14 feet per day
-50 feet / 7 days = -7.14 feet per day

Answer 4

suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. The river was 60 feet before the drought began. what is the y intercept of this scenario

Answer 5

[AI-generated answer — Bot GPT 3.5]

To find the y-intercept in this scenario, we need to determine the value of the water level when the time is 0.

Given:
Water level after 3 days of no rain = 45 feet
Initial water level before the drought = 60 feet

Step 1: Calculate the change in water level:
Change in water level = Final water level - Initial water level

Change in water level after 3 days of no rain = 45 feet - 60 feet = -15 feet

Step 2: Calculate the y-intercept:
Y-intercept = Initial water level - Change in water level

Y-intercept = 60 feet - (-15 feet) = 60 feet + 15 feet = 75 feet

Therefore, the y-intercept in this scenario is 75 feet.

Answer 6

suppose that the water level of a river is 45 feet after 3 days of no rain and 10 feet after 10 days of no rain. The river was 60 feet before the drought began. write an equation for the scenario in slop intercept form

Answer 7

[AI-generated answer — Bot GPT 3.5]

To write the equation for the scenario in slope-intercept form, we can use the formula:

y = mx + b

where:
y represents the water level
x represents the number of days of no rain
m represents the slope
b represents the y-intercept

Given:
Water level after 3 days of no rain = 45 feet
Water level after 10 days of no rain = 10 feet
Initial water level before the drought = 60 feet

Step 1: Calculate the slope:
Slope = (change in water level) / (change in time)

Slope = (10 feet - 45 feet) / (10 days - 3 days)
Slope = -35 feet / 7 days
Slope = -5 feet/day

Step 2: Determine the y-intercept:
From the given information, we already calculated the y-intercept to be 75 feet.

Step 3: Write the equation in slope-intercept form:
y = mx + b

Substituting the slope and y-intercept:
y = -5x + 75

Therefore, the equation for the scenario in slope-intercept form is y = -5x + 75.