Answer: D
Explain: The one described was B, but the one that changes LESS is D
Joe's Painting: 20x + 100 = y
Steve's Painting: 15x + 120 = y
x = hours worked
y = total income
We can find when the two equations intersect by making them equal to each other. That means we put an equal sign in the middle. So, it would look something like this:
20x + 100 = 15x + 120
First, we have to move the 100 by subtracting it from both sides.
20x = 15x + 120 - (100)
20x = 15x + 20
Then, we need to move the 15x by subtracting it from both sides.
20 - (15x) = 20
5x = 20
Lastly, we need to divide 5 from both sides.
5x = 20/5
x = 4
Therefore, Joe and Steve would have to work for 4 hours in order for their models to be equal to each other.
Answer:
Federalists were the group of people who believed in and fought for the ratification of the <em>United States Constitution</em>, while Anti-Federalists did not favor the ratification of the United States Constitution. Anti-Federalists appreciated the Articles of Confederation more and favored the U.S. Government having very limited powers, or having no power at all. For this reason, Federalists compromised with Anti-Federalists to draft a <em>Bill of Rights</em>, which lists the ten inalienable rights of any U.S. Citizen regardless.
Separation of Powers was a principle established in our government which is the reason for why the Judicial, Legislative, and Executive Branch exist. Separation of Powers was a way to make sure the government did not have too much power in one area than another, allowing them to keep each other in check from enacting abusive orders or actions.
Answer:
9.72°
Step-by-step explanation:
Step one
Given data
let the hypotenuse be the distance the cyclist traveled = 6.5km
and let the opposite be the height of the mountain = 1.1 km
Step two:
<u>Applying SOH CAH TOA</u>
sin ∅= opp/hyp
∅= sin-1 opp/hyp
∅= sin-1 1.1/6.5
∅= sin-1 0.169
∅= sin-1 0.169
∅=9.72°
F(x) = x² increases at a faster rate than g(x) = 2x.
f(x)
Reason:
x = 0, 1, 2, 3, 4, 5, 6, 7
f(x) = 0, 1, 4, 9, 16, 25, 36, 49
g(x) = 0, 2, 4, 6, 8, 10, 12, 14.
Comparing the values of f(x) and g(x), we can see that that of f(x) are far higher than that of g(x) for the same values of x.
So f(x) increases at a faster rate.
