Using the point slope form y - y1 = m(x-x1)
m is the slope, because the lines are parallel the slope is identical, so m = -2.
Replace x1 and y1 with the given point and then solve for y:
y - 1 = -2(x-4)
Simplify:
y - 1 = -2x + 8
Add 1 to both sides:
y = -2x +9
Answer:
Step-by-step explanation:
Graph of the given piecewise function will show the three straight lines,
f(x) = 2 If 2 < x ≤ 4
x + 3 If 4 < x < 8
2x If x ≥ 8
1). f(x) = 2 will be a straight line parallel to x-axis for 2 < x ≤ 4
2). f(x) = x + 3 is a straight line with input output points in the interval 4 < x < 8
x 4 5 6 7 8
f(x) Not defined 8 9 10 Not defined
3). f(x) = 2x
x 8 9 10 11
f(x) 16 18 20 22
By using these points on a graphing calculator we can graph the piecewise function as attached.
Answer:
<u>The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50</u>
Step-by-step explanation:
1. Let's review the information given to us to answer the question correctly:
Initial deposit = $ 1,250
Interest rate = 4.25% annual simple = 0.0425
Time of investment = 4 years
2. What was the balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years?
Let's recall the simple interest formula, as follows:
A = P * (1 + rt), where:
A = final amount
P = initial principal balance
r = annual interest rate
t = time (in years)
Replacing with the values we know:
A = P * (1 + rt)
A = 1,250 * (1 + 4 * 0.0425)
A = 1,250 * 1.17
A = 1,462.50
<u>The balance in dollars and cents in Mr. Jenkins’s account at the end of 4 years was $ 1,462.50</u>
Answer:
50 nickels, 20 quarters.
Step-by-step explanation:
System of equations (q = # of quarters, n = # of nickels):
<em>q + n = 70, 0.25q + 0.05n = 7.50</em>
the first equation can be changed to q = 70 - n, so we are able to <em>substitute q with 70 - n</em>.
So, it will look like <em>0.25*70 - 0.25n + 0.05n = 7.50</em>. This can be simplified to <em>0.2n = 10</em>, which means that n = 50.
Knowing that we can solve <em>q + 50 = 70</em>, which means that q = 20.
Answer:
it takes him 6 hours to jog
Step-by-step explanation:
