Answer:
24 units^2
Step-by-step explanation:
A=1/2*b*h
A=1/2*4*12=1/2*48=48/2=24
Answer:
Part A)
Part B) The distance between the y-intercepts is equal to 4 units
Part C) The value of h(x) will always be greater than the value of m(x) for any value of x
Step-by-step explanation:
Part A) What is the value of h(4) -m(16)
we have
For x=4
Find the equation of the line m(x)
Find the slope
take the points
(8,2) and (12,4)
The formula to calculate the slope between two points is equal to
substitute
Find the equation of the line in slope intercept form
we have
substitute
solve for b
therefore
Find m(16)
so
Part B) we know that
The y-intercept is the value of y when the value of x is equal to zero
Find the y-intercept of h(x)
For x=0
Find the y-intercept of m(x)
For x=0
therefore
The distance between the y-intercepts is equal to 2-(-2)=4 units
Part C)
Graph both equations
using a graphing tool
see the attached figure
The value of h(x) will always be greater than the value of m(x) for any value of x
1. 980 ÷ 100 = 9.8 = 1%
9.8 × 14 = 137.2
2. 50 ÷ 5 = 10 = 20%
10 ÷ 2 = 5 = 10%
20% + 10% = 30%
3. 78 × 5 (because 20% is 1/5) = $390
4. 6000 ÷ 100 = 60 = 1%
60 ÷ 2 = 30 = 1/2%
6000 - 30 = 6970
5. 25000 ÷ 100 = 250 = 1%
250 ÷ 5 = 50 = 1/5%
250 × 12 = 3000
3000 + 50 = 3050 = 12 1/5%
6. 75% is 3/4
12 ÷ 3 = 4 = 25%
4 × 4 = 16
7. 30/20 = 3/2 = 1.5
=150%
8. 20000 ÷ 100 = 200 = 1%
200 ÷ 4 = 50 = 1.4%
200 + 50 = 250
I hope this helps!
The best way to determine which among the fractions has the greatest value, convert all of them to their decimal equivalents. To do so, divide the numerator by the denominator. Conor ate 0.25 of the pizza, Brandon also 0.25, Tyler 0.75, and Audrey 0.5. Thus, the answer is letter "B. Tyler".
Answer:
y = 0.75x + 1.95
Step-by-step explanation:
It is given that the variables:
y stands for total cost
x for the amount of songs.
It is also given that each song costs $0.75 to download, and that there is a standard flat-fee of $1.95 (per month).
Set the equation:
total cost for the month = cost per song * amount of song + flat fee subscription
or
y = 0.75x + 1.95
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