Answer:
Step-by-step explanation:
If they can be rounded to 70 to the nearest 10s. Then they are from 65 to 74.
Their sum is 136.
If we use 136 divided by 2 we get 68.
Since they're distinct, so one can be 67 and one can be 69
Answer:
5 times bigger
Step-by-step explanation:
(6-4) = 2
(6-4) x 5 = 10
The answer to that would be 0 because the line goes through the orgin witch the points are 0
The Federal Insurance Contributions Act (FICA) is made up of
two items, Social Security and Medicare taxes. For 2016, the Social Security
tax rate is 6.2% on the first $118,500 wages paid. The Medicare tax rate is
1.45% on the first $200,000 and 2.35% above $200,000. Since the total earnings is
only $110,700 which is not yet taxable. So there is no taxable earnings yet.
Answer:
Step-by-step explanation:
f(x) is quadratic function and g(x) is linear (since AP in the right column).
<u>Find the equation of the function f(x), use the points on the graph:</u>
- c = 5 as the y-intercept is (0, 5)
- a(-1)² + b(-1) + 5 = 0 ⇒ a + 5 = b
- a(5²) + b(5) + 5 = 0 ⇒ 25a + 5b + 5 = 0 ⇒ 25a + 5a + 25 + 5= 0 ⇒ a = -1 ⇒ b= 4
<u>The function is:</u>
Find the equation of g(x)
<u>Find the slope of g(x):</u>
- m = (1 - 7)/(-1 + 4) = -2
<u>Use (-4, 7) to find its equation:</u>
- y - 7 = -2(x + 4)
- y = -2x + 7 - 8
- y = -2x - 1
<h3>See the required comparison below</h3>
<u>The y-intercepts:</u>
- f(x) ⇒ 5,
- g(x) ⇒ -1
- -5 < - 1
<u>Values at x = 3:</u>
- f(3) = -3² + 4(3) + 5 = 8
- g(3) = -2(3) - 1 = - 7
- 8 > 7
<u>Average rate of change in the interval [2,5]:</u>
- f(x) ⇒ (0 - 9)/(5 - 2) = -3
- g(x) ⇒ (-11 + 5)/ (5 - 2) = -2
- -3 < -2
<u>Max of function in the interval [-5, 5];</u>
- f(x) ⇒ 9, vertex of the function
- g(x) ⇒ g(-5) = -2(-5) - 1 = 9, taken the least point of x as it is a decreasing function
- 9 = 9
