Substitute the 2x+2 for y in the first equation:
-4x - (2x+2) = 4
Distribute that negative:
-4x - 2x - 2 = 4
Combine like terms:
-6x - 2 = 4
Add 2 to both sides:
-6x = 6
Divide by -6:
x = -1
Substitute that -1 into either equation:
y= 2x + 2
y= 2(-1) + 2
y= -2 + 2
y= 0
Answer:
x = -1
y = 0
Answer:
c
Step-by-step explanation:
5/12, 1, 1/3, 5/6. 1/3 is the smallest.
Answer:
Correct answer: First answer is true
Step-by-step explanation:
Where x is independently variable and refers to the elapsed time and
( i-d )(x) is a function or dependent variable and shows the number of gallons during that time.
f (x) = ( i-d )₍ₓ₎ = 3 x² + 2 - ( 4 x - 1) = 3 x² - 4 x + 3
( i-d )₍ₓ₎ = 3 x² - 4 x + 3
( i-d ) (3) = 3 · 3² - 4 · 3 + 3 = 27 - 12 + 3 = 18
( i-d ) (3) = 18 gallons after 3 hours in the tank
God is with you!!!
Answer:
Step-by-step explanation:
Given
Perpendicular to
Pass through
Required
Determine the line equation
First, we need to determine the slope of
An equation is of the form:
Where
In this case:
Next, we determine the slope of the second line.
Since both lines are perpendicular, the second line has a slope of:
Since this line passes through (-2,2); The equation is calculated as thus:
Where
This gives:
Add 2 to both sides
Answer: after 1.8 hours, they would be 306 miles apart.
Step-by-step explanation:
Let t represent the time it will take for the two trains to be 306 miles apart. It means that after t hour, both trains would have covered a total of 306 miles.
Distance = speed × time
The eastbound train travels at 75 miles per hour. It means that the distance travelled by the eastbound train after t hours is 75t miles.
The westbound train travels at 95 miles per hour. It means that the distance travelled by the westbound train after t hours is 95t miles.
Since the total distance covered after t hours is 306 miles, it means that
75t + 95t = 306
170t = 306
t = 306/170
t = 1.8