Answer:
The x-intercept is (-2,0)
The y-intercept is (0,3)
Step-by-step explanation:
An x-intercept is the point when the graph crosses the x-axis. In other words, the y-coordinate of the x-intercept is 0 (since it lays on the x-axis). In other words, to solve for the x-intercept(s), plug in 0 for y and solve for x:
So, the x-intercept is (-2,0).
Likewise, the y-intercept is the point when the graph crosses the y-axis. Because it's on the y-axis, the x-coordinate value would be 0. Thus, to find the y-intercept, plug in 0 for x and solve for y:
Thus, the y-intercept is (0,3).
The sum of the interior angles of a triangle is always 180 degrees. Thus,
the sum of 31, x+4 and 3x+9 must be 180.
31 + x + 4 + 3x + 9 = 180, or 44 + 4x = 180
While it's not necessary, y ou could reduce this equation before solving for x:
11 + x = 45. Then x = 34 degrees.
The three angles are then:
31
34+4 = 38
3(34) + 9 = 111
Check: show that 31+38+111 = 180 (degrees)
Answer:
It will take 15 years for $500 to yield $900 at an interest rate of 0.12
Step-by-step explanation:
Simple Interest equals Principal times Rate times The time in years,
That is SI = P*R*T
SI is $900
P = $500
R = 0.12
T i.e. Time is unknown
T will be equal to SI divided by P*R
i.e., T = SI/PR
T = $900/$500*0.12 = 900/60
T = 15 years.
Therefore, it will take $500 investment to yield $900 interest in 15 years at an interest rate of 0.12
Answer:
The charge per day is $25 and the charge per mile is $0.35
Step-by-step explanation:
Let
x -----> the charge per day
y ----> the charge per mile
we know that
3x+200y=145 -----> equation A
5x+430y=275.50 -----> equation B
Solve the system of equations by graphing
Remember that the solution of the system is the intersection point both graphs
using a graphing tool
The intersection point is (25,0.35)
see the attached figure
therefore
The charge per day is $25 and the charge per mile is $0.35
