<span>1st train DATA:
rate = 50 mph ; time = x hrs ; distance = rt = 50x miles
2nd train DATA:
rate = 55 mph ; time = (x-(1/2)) hrs ; distance = rt = 55(x-(1/2)) miles
Equation:
distance = distance
50x = 55(x-(1/2)
50x = 55x - (55/2)
-5x = -55/2
x = 11/2
x = 5 1/2 hrs (time at which the 2nd train overtakes the 1st train)
Hope this helps!</span>
The value of the real life expression is, simple interest = $12.5
<h3>How to simplify this real life expression and show unit analysis?</h3>
The real life expression is given as:
simple interest = ($100) (0.05/year) (2.5 years
Divide 1 year by 1 year
simple interest = ($100) (0.05) (2.5)
Rewrite the equation as a product of factors
simple interest = ($100) * (0.05)* (2.5)
Evaluate the product of 0.05 and 2.5
simple interest = ($100) * 0.125
Evaluate the product of $100 and 0.125
simple interest = $12.5
Hence, the value of the real life expression is, simple interest = $12.5
Read more about expressions at:
brainly.com/question/723406
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Answer: 10x^2-10x
Explanation: You would distribute the 5x into the parenthesis making it 10x(to the second power) -10x
Answer:
y=4x+19
Step-by-step explanation:
y-y1=m(x-x1)
y-(-1)=4(x-(-5))
y+1=4(x+5)
y=4x+20-1
y=4x+19
The vertex of the graph is at (5, (6 + 2)/2) = (5, 4)
The equation of a quadratic graph is given by y - k = 4p(x - h)^2, where (h, k) is the vertex, p is the distance from the vertex to the focus.
Here, (h, k) = (5, 4) and p = 6 - 2 = 2 and since the focus is on top of the directrix, the parabola is facing up and the value of p is positive.
Therefore, the required equation is y - 4 = 4(2)(x - 5)^2
y - 4 = 8(x^2 - 10x + 25)
y - 4 = 8x^2 - 80x + 200
y = 8x^2 - 80x + 204
