The substitution property of equality, one of the eight properties of equality, states that if x = y, then x can be substituted in for y in any equation, and y can be substituted for x in any equation.
Answer:
B.
Step-by-step explanation:
The answer is B. The problem says that the slope is 2 and it as the points (3,10) on its line. When looking at the graph, you can see that the line crosses at four on the y-intercept which is why four will be your constant. So, your equation in slope intercept form will become y=2x+4. With this, you can start eliminating the given answers.
You can immediately eliminate c and d because the 2 is negative when it isn't in its slope form. It leaves you with a and b.
When looking at both a and b you now have to look at what your y will become when you sinplify both of them. In choice a, the 2 multiplies with the 3 and gives you 6. Since you have to leave the y by itself you have to subtract 10 from both sides which will leave you with -4. Since your y-intercept isn't negative you know that a isnt the ansewr.
When checking b, you multiply the 2 and -3 to get -6. Since you have to leave the y by itself, you add 10 to each side and end up with 4 which is the same number that crosses the y-axis. and that is how you know it's the right answer.
Answer: Boutta snitch on you. CHHS 10th grade
Step-by-step explanation:
Answer:
y-4=-7(x-1) OR y-(-10)=-7(x-3)
Step-by-step explanation: The point-slope form is 
-
=
(
-
)
In slope-intercept form, the equation would be y = -7x + 11
You could find the slope by using the slope equation, 
.
Using that, you would get -7. Thus by inserting one of the points and the slope in the point-slope equation, you will get your answer.
Answer:
<u>The balance in the account after 10 years is US$ 2,442.81</u>
Step-by-step explanation:
1. Let's review the data given to us for answering the question:
Investment amount = US$ 2,000
Duration of the investment = 10 years
Annual interest rate = 2% compounded continuously
2. Let's find the future value of this investment after 10 years, using the following formula:
FV = PV * eˣ ⁿ
PV = Investment = US$ 2,000
number of periods (n) = 10 (10 years compounded continuously)
rate (x) = 2% = 0.02
e = 2.71828 (Euler's number)
Replacing with the real values, we have:
FV = 2,000 * (2.71828)^0.02*10
FV = 2,000 * 2.71828^0.2
FV = 2,000 * 1.2214027
<u>FV = US$ 2,442.81</u>
