Answer:
The answer to your question is y = 4 - 1.5x
Step-by-step explanation:
Data
River's speed = 2 mi/h
David's speed = 6 mi/h
Rate of change = 1.5 mi/h
From the data given, we can conclude that the rate of the boat will be the difference between David's speed and the speed of the boat = 4mi/h.
The slope must be negative because it decreases.
The only equation that satisfies both conditions is the second option.
Answer:
a. The fuel efficiency (mpg) of an automobile is a continuous variable
b. The amount of rainfall at a particular location during the next year is a continuous variable
c. The distance that a person throws a baseball is a continuous variable
d. The number of questions asked during a 1-hr lecture is a discrete variable
e. The tension (in pounds per square inch) at which a tennis racket is strung is a continuous variable
f. The amount of water used by a household during a given month is a continuous variable
g. The number of traffic citations issued by the high- way patrol in a particular county on a given day is a discrete variable
Step-by-step explanation:
<em>Continuous </em>variables assign values in a range of infinitely many values, while <em>discrete</em> variables are countable.
<em>Continuous variables</em> in the above can assume real numbers and there are infinitely many real numbers between any two real numbers.
<em>Discrete variables </em>above can be counted in the given time interval.
Answer:
x = 8
y = -7
Step-by-step explanation:
This is a system of equations called simultaneous equations. We shall solve it by elimination method Step 1We shall label the equations (1) and (2)−3y−4x=−11.....(1)3y−5x=−61......(2)Step 2Multiply each term in equation (1) by 1 to give equation (3)1(-3y-4x=-11).....(1)-3y-4x=-11....(3)Step 3Multiply each term in equation 2 by -1 to give equation (4)-1(3y−5x=−61)......(2)-3y+5x=61.....(4)Step 4-3y-4x=-11....(3)-3y+5x=61.....(4)Subtract each term in equation (3) from each term in equation (4)-3y-(-3y)+5x-(-4x)=61-(-11)-3y+3y+5x+4x=61+110+9x=729x=72Step 5Divide both sides of the equation by 9, the coefficient of the unknown variable x to find the value of x 9x/9 = 72/9x = 8Step 6Put in x = 8 into equation (2)3y−5x=−61......(2)3y-5(8)=-613y-40=-61Collect like terms by adding 40 to both sides of the equation 3y-40+40=-61+403y=-21Divide both sides by 3, the coefficient of y to find the value of y 3y/3=-21/3y=-7Therefore, the values of x and y that satisfy the equations are 8 and -7 respectively
Just know that you are smart and that you can do this
Answer:
Step-by-step explanation:
y = x - 5
2x - 5y = 1
2x - 5(x - 5) = 1
2x - 5x + 25 = 1
-3x + 25 = 1
-3x = -24
x = 8
y = 8 - 5
y = 3
(8, 3)
