Answer:
Simplest function is f(x) = 2x - 1
Step-by-step explanation:
When a function has a zero, simply put, that point is where the graph goes through the x-axis. At this point, the y value is 0.
If a function has a 0 of 1/2, that translates to x = 1/2 and also (1/2, 0). That means that y = 0 when x = 1/2.
If x = 1/2 and is a zero, then x - 1/2 = 0 and 2x - 1 = 0 (notice that y = 0 here and solving for x would get you right back to x = 1/2).
The simplest function with a zero of 1/2 is
f(x) = 2x - 1
You know it is true that the zero is 1/2 for two reasons. First one is to set the right side equal to 0 and solve for x.
The second one is to graph the line y = 2x - 1 and see that it goes through the x axis at 1/2 where y = 0.
Answer:
Matthew's money will double fastest in 6 years.
Step-by-step explanation:
<u><em>The complete question is</em></u>
Answer the question for each scenario<u><em> by applying the rule of 72</em></u>. How many years will it take each situation to double its money? Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%. Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%. Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%. Whose money will double fastest?
we know that
The <u><em>Rule of 72</em></u> is a simple way to determine how long an investment will take to double given a fixed annual rate of interest. By dividing 72 by the annual rate of return.
so
Situation A: Matthew invests $5,000 in an account with a compound interest rate of 12%
Situation B: Morgan invests $2,500 in an account with a compound interest rate of 8%.
Situation C: Maysen invests $10,000 in an account with a compound interest rate of 4.5%
therefore
Matthew's money will double fastest in 6 years.
102*104=10608
Hope it helped
To solve this problem you must apply the proccedure shown below:
1. You must apply the formula for calculate the arc length, which is:
arc length=(angle)(radius)
2- As you can see, <span>the circle has a radius of 5 yards and the angle subtended by the arc measures 1 1/2 radians. Therefore, you have:
</span>
The angle is:
1 1/2 radians=1.5 radians
3. When you susbtitute these values into the formula, you obtain:
arc length=(1.5 radians)(5 yards)
arc lenght=7.5 yards
4. Therefore, the answer is: 7.5 yards.
Answer:
1. 38, 80, 89 and 4. 14, 15, 29
I don't know if there is supposed to be only one, but both of those do not form right triangles.
Step-by-step explanation:
Evaluate all of them and see if they meet the requirements of the Pythagorean Theorem, a² + b² = c².
1. 38, 80, 89
a² + b² = c²
38² + 80² = 89²
1444 + 6400 = 7921
7844 ≠ 7921.
This is an answer because it doesn't satisfy the Pythagorean Theorem.
2. 16, 63, 65
a² + b² = c²
16² + 63² = 65²
256 + 3969 = 4225
4225 = 4225
This isn't the answer because it satisfies the Pythagorean Theorem.
3. 36, 77, 85
a² + b² = c²
36² + 77² = 85²
1296 + 5929 = 7225
7225 = 7225
This isn't the answer because it satisfies the Pythagorean Theorem.
4. 14, 15, 29
a² + b² = c²
14² + 15² = 29²
196 + 225 = 841
421 ≠ 841
This is an answer because it does not satisfy the Pythagorean Theorem.
