Answer:
Slope=-2/3, y-intercept=2, x-intercept=3
Step-by-step explanation:
Let the independent variable be x and dependent variable be y
y=h(x)
h is a linear function so it is represented in the general form of y=mx+c where
m is slope and c is the y-intercept.
Given "the dependent variable decreases 2 units for every 3 units the independent variable increases."
When x increases by 3, y decreases by 2
So the slope = rate of change of y / rate of change of x = -2/3
Given h(0)=2, h(0)=m(0)+c=2
c=2
Combining slope and y-intercept, y=-2/3*x+2
x-intercept is when y=0
0=-2/3*x+2
2/3*x=2
x=2*3/2=3
x-intercept=3
One foot = 12 inches.
32 feet = x inches
x/12=32/1
so
x=12*32/1 inches per second^2
Answer:
1. The powers include: budgeting and appropriation of funds for all county activities; building and maintaining county roads; making and enforcing civil and criminal resolutions and ordinances not in conflict with state law, including those for land use and building construction; supporting and implementing.
2. Serves as a licensed peace officer and is responsible for enforcing the criminal laws of the state. Manages and operates the county jail. Provides security for the courts.
3. County governments perform essential administrative functions such as registering voters, supervising elections, keeping records, providing police protection, and administrating health and welfare services.
Step-by-step explanation:
Answer:
Here Ariel is wrong because 3x^3 is higher power than y^2
3x^3 goes first
then the mixed term -4x^2y
then the y^2
then the 2
So, Marcus is right
Standard form means that you write the terms by descending degree. here's main rules how to write polynomial expression in the standard form:
1. write the term with the highest exponent first (terms of third degree in our case 3x^3 );
2. write the terms with lower exponents in descending order (term -4x^2y followed by y^2
);
3. remember that a variable with no exponent has an understood exponent of 1 (here are no such terms);
4. a constant term (a number with no variable) always goes last (term 2).
Answer:
Option C
Step-by-step explanation:
We can easily see the solution by realizing that the quadratic function
y = x^2 + 2 has a discontinuity at x =1 (white dot at the graph)
So, the solution must have
y = x^2 + 2 , x < 1
And the only option in which this applies is Option C.
