Answer:
(0.5,0)
Step-by-step explanation:
The line of symmetry is if you drew a line straight down the middle (vertically) of the parabola and where it would hit the x-axis
69.1 is already a decimal.
Answer:
The correct order is:
a
c
d
b
Step-by-step explanation:
First, let's write 1/x in a convenient way for us:
a) Substitute 1/x = p/q, to obtain x = 1/(1/x) = 1/(p/q) = q/p.
Now we assume that 1/x is rational (we want to prove that this implies that x will be also rational and because we know that x is irrational assuming that 1/x is rational will lead to an incongruence), then:
c. If 1/x is rational, then 1/x = p/q for some integers p and q with q ≠ 0. Observe that p is not 0 either, because 1/x is not 0.
Now we know that we can write x as a quotient of two integers, we need to imply that, then the next one is:
d) Observe that x is the quotient of two integers with the denominator nonzero.
And that is the definition of rational, then we end with:
b) Hence x is rational.
Which is what we wanted to get.
Answer:
Slope = 
Step-by-step explanation:
Let the equation representing the number of gallons left in the gas tank is,
G = mt + b
Where m = slope of the line
b = y-intercept of the line
Slope of the line passing through two points 
and 
is,
'm' = 
Slope of the line passing through (8, 5) and (4, 10),
m = 
m = -
Equation of line will be,
G = 
Since, point (8, 5) lies on this line,
5 = 
5 = -10 + b
b = 15
Therefore equation of the function will be,
G = 
Here slope of the function represents the gallons of gas is consumed to drive the car for one hour.
Answer:
6/5m
or
1 1/5m
Step-by-step explanation:
5 - 3 4/5 = x
5/1 - 19/5 = x
5/1(5/5) - 19/5 = x
25/5 - 19/5 = x
25/5 - 19/5 = 6/5
x = 6/5 or 1 1/5
