Answer:
-2x+25 D
Step-by-step explanation:
To determine how far it will go in an unspecified number of hours, we can let t = time in hours. The letter t will be our variable. Assuming that the car travels at the same speed, we can state that the rate is 55, and that will be our constant. The expression would then be:
Distance of car traveled in t hours, which we can denote as D(t) = 55 x t = 55t
This means that D is a function of t, and D represents the total distance traveled in t hours.
Step-by-step explanation:
3x2 -5x+1=0
Quadratic eq ax2 +bx+c=0
Discriminant=b2 -4ac
=(-5)2 -4*3*1
=25-12
=13>0 so 2 solutions.
The area enclosed by the given 2 curves is; 8/3 or 2.67
<h3>How to Solve Integration with Limits?</h3>
We want to find the area enclosed by the curves;
y = x² - 2x
y = -x² + 2x
The point of intersection of the parabola and the line is given by;
x² - 2x = -x² + 2x
2x² - 4x = 0
Solving this gives;
x = 0, 2
Therefore, the area bounded by the parabola and the line between x = 0 and x = 2 is given as;
A = ∫₀² (-x² + 2x - x² + 2x)
A = ∫₀² (-2x² + 4x)
Using online integration calculator here gives;
A = 2.67
Read more about Integration at; brainly.com/question/14388434
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Answer:
Step-by-step explanation:
Function representing the bacterial growth has been given as,
a). Here 1200 represents the initial number of bacteria taken for the study (1).
b). 1.8 represents the growth factor by which the population of the bacteria is multiplying.
c). Second study is modeled by the function given as,
Here, initial population of bacteria = 1000
Difference in 1200 and 1000 in two studies means → Second study was conducted on 1000 bacteria while in study (1) number of bacteria were 1200.
Answer:
Step-by-step explanation:
A = 1/2(B1 + B2)h
2A = (B1 + B2)h
h = 2A/(B1 + B2)
