Answer:
3/20
Step-by-step explanation:
15 and 100 both have a common factor of <em>5</em>. To simply an expression, you have to get both the numerator (top number) and the denominator (bottom number) to be as low as possible (to make it so that both can't be divided anymore or don't have shared factors). We divide both sides by 5 (which still retains as an integer and has the same value) and so 15/3=5 and 100/5=20.
Have a nice day! :)
1)
A)
f(x) has a slope of +5 (change with each x step), g(x) of +2 (m of y=mx+b), so f(x) rises 2.5 times faster than g(x)
B)
y intercepts are at x=0
f(x) has its intercept at -10
for g(x) it is the b value of y=mx+b, so 8
so the g(x) intercept is greater/above the one of f(x)
2)
A)
y intercept is at x=0 -> 12
When we started measuring the bird was already 12 miles away from its nest.
B)
average rate=(f(3)-f(1))/(3-1)
=16/2=8 [mph]
The bird moved on average with a speed of 8mph away from the nest.
C)
f(x)=8x+12
insert the 172 miles distance:
172=8x+12
160=8x
20=x
so after 20 hours it would be at a distance of 172 miles
this means we know the value from x=0 to 20 so its domain is/it is defined for x values of [0,20]
3)
A)
f(2)=225
f(5)=480
calculate slope m:
m=(f(5)-f(2))/(5-2)=(480-225)/3=255/3=85$/day
b=f(0)=f(2)-2*m=225-2*85=55
y=85x+55
B)
f(x)=85x+55
C)
Your x label is the amount of days rented, the y label the total cost/rent to pay, because y has larger values decide on some scale and the range of x values you want to draw, which should be x>=0.
Draw the points which were given, (2,225) and (5,480) and draw a line through them from one end of the diagram to the other.
88.888889% fraction is: 9/8!
You don't need to regroup when adding a two-digit number with a number.
Answer:
<em><u>18mph</u></em>
Step-by-step explanation:
We convert this to solve! 1 mile equals 1760 yards,1 yard equals 3 feet, 60 seconds equals a minute, and 1 hour equals 60 minutes.
When you multiply all that you get 18 mph
