Answer:
A linear function is represented
Step-by-step explanation:
The table is:
x f(x)
0 10.00
1 10.02
2 10.04
3 10.06
4 10.08
5 10.10
If we compute the difference between two consecutive function values and we divide it by the difference between their associated x values we get:
(10.02 - 10.00)/(1-0) = 0.02
(10.04 - 10.02)/(2-1) = 0.02
(10.06 - 10.04)/(3-2) = 0.02
(10.08 - 10.06)/(4-3) = 0.02
(10.10 - 10.08)/(5-4) = 0.02
This constant result indicates that a linear function is represented.
Answer:
- 0.8
Step-by-step explanation:
The first thing we want to do here is simplify the expression -
( 2x + 5 ) - 2x, Distribute the " " to elements within the parenthesis
= 
2x + 5 - 2x, Focus on simplifying the expression " 2x + 5 "
= 
- 2x
= 
- 2x, Combine fractions
= 
+ 3
= 
x + 3
So we have our simplified expression " x + 3, " with being the coefficient of x. Our requirements are that this fraction should be expressed as a decimal, so we can simply divide the numerator by the denominator to figure that out,
- 4 / 5 = - 0.8,
Solution = - 0.8
Step-by-step explanation:
6 cm, 8 cm, and 10 cm (B) form a triangle.
The Triangle Inequality Theorem states that the sum of the lesser two sides must be greater than the third.
Answer:
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
Up to and after 45 minutes, the barrel is empty of water.
Step-by-step explanation:
#2.)
minutes: 5, 10, 15, 20
water(gal): 16, 14, 12, 10
Find slope: slope m = (14 - 16)/(10 - 5) = -2/5
y - 10 = (-2/5)*(x - 20)
y - 10 = (-2/5)* x + 8
y = (-2/5)*x + 18
rate of change slope means that for every minute 2/5 gallons of water is lost
#3.) The initial value of 16 gal at x = 5 minutes means that 16 gallons of water was present 5 minutes after the barrel started leaking.
#4.) Find how many minutes until the barrel is empty of water.
Let y = 0, to solve for time x.
0 = (-2/5)*x + 18
(2/5)*x = 18
x = (5/2)* 18 = 5*9 = 45 minutes
