First simplify the equation of parabola
in the following way:
.
You can see that if x=1 or x=2, then y=0. Two points of intersection with x-axis are (1,0) and (2,0).
Answer:
1 hour and 45 minutes
and 1 hour
Step-by-step explanation:
x= run
y= walk
5x+2.5y = distance
5x+2.5(1.5)=12.5
solve for x
5x=8.75
x=1.75
1.75 in hours is 1 hour and (60*.75)=45
1 hour and 45 minutes
" If the marathon race participant ran for 2 hours, how many hours did the participant walk?"
We use the same equation
5x+2.5y=distance
we'll assume that they till walked 12.5 miles
which means that
5(2)+2.5y=12.5
solve for y
2.5=2.5y
y=1
1 hour
2 nickels (5 cents each)
3 dimes (10 cents each)
1 quarter (25 cents)
1 nickel, 1 dime, 1 quarter
5 + 10 + 25 = 40
2 nickels, 1 dime, 1 quarter
5(2) + 10 + 25 = 45
1 nickel, 2 dimes, 1 quarter
5 + 10(2) + 25 = 50
1 nickel, 3 dimes, 1 quarter
5 + 10(3) + 25 = 60
2 nickels, 2 dimes, 1 quarter
5(2) + 10(2) + 25 = 55
2 nickels, 3 dimes, 1 quarter
5(2) + 10(3) + 25 = 65
You can make 6 different amounts.
You could also find this by multiplying however many coins you have all together.
2 * 3 * 1 = 6
Circle b:
Diameter = x
Radius =
Area =
Circle a:
Diameter =
Radius =
Area =
Thus,
Area of circle b to area of circle a
=
÷
=
×
= 4
Hence, the area of circle b is
4 times the area of circle a.
Answer:
1)
2)
3)
4)
5)
Step-by-step explanation:
According to the information given in the exercise, the value of "x" is:
Then:
1) You must substitute into the expresion :
Now, you must evaluate:
2) You have to substitute the given value of "x" into the second expression:
Finally, evaluating, you get the following result:
3) According to the Zero exponent Rule, any non-zero number with an exponent of zero is equal to 1.
Then, substituting into the expression and then evaluating, you get:
4) By definition:
Then, substituting into and evaluating, you get:
5) Since:
When you substitute the given value of "x" into the last expression and then you evaluate, you get: