Answer:
different
Step-by-step explanation:
different slopes gives one solution
same slopes with different constant has no solution
same slopes and constants has many solutions
Answer:
25× 1/10 = 5/2
Step-by-step explanation:
5/2 or 2.5 lies between 2 and 3
Answer:
2,995 or 35,940(?)
Step-by-step explanation:
I don't exactly remember how to do this so, I'll show you two different ways I solved this
Use the formula I=P*r*t
I=Interest
P=Principal
r=rate
t=time
To solve this you'll have to...
The principal is 29,950, the rate is 5% but it'll become a decimal which is 0.05, and the time is 2
Put it into the formula form 29,950*0.05*2= 2,995 in interest
Or...
You'll use the same formula, but this time multiply 0.05 by 12 since there are 12 months in one year which is 0.6, so...
29,950*0.6*2=35,940 in interest
I hope one works!
Answer:
x = 200
Step-by-step explanation:
1/5x – 2/3y = 30
substitute in y
1/5x - 2/3(15) = 30
multiply
1/5x - 10 = 30
isolate the variable
1/5x = 40
multiply each side by 5
x = 200
Answer:
Two times at (-1,0) and (2.5,0)
Step-by-step explanation:
When the graph intersects or touches x-axis, y is equal to 0
so y = -2x^2 + 3x + 5
=> 0 = -2x^2 + 3x + 5
The formula to solve a quadratic equation of the form ax^2 + bx + c = 0 is equal to x = [-b +/-√(b^2 - 4ac)]/2a
so a = -2
b = 3
c = 5
substitute in the formula
x = [-3 +/- √(3^2 - 4x-2x5)]/2(-2)
x = [-3 +/- √(9 + 40)]/(-4)
x = [-3 +/- 7]/(-4)
x1 = (-3 + 7)/(-4) = 4/-4 = -1
x2 = (-3 - 7)/(-4) = -10/-4 = 5/2 = 2.5
so the graph has two x-intercepts (-1,0) and (2.5,0), therefore it intersects x-axis two times
