6.1
Evaluate this equation
6.70
1
What is the definition of an "exponent"
a quantity representing the power to which a given number or expression is to be raised, usually expressed as a raised symbol beside the number or expression
What is the definition of an exponential function ?
form f (x) = ax, where “x” is a variable and “a” is a constant which is called the base of the function and it should be greater than 0.
Use properties of exponents to rewrite the function in the form of y = a(1+r)t
y = 100(0.96)t/4
100(0.99)t
evaluate
y=6(2)x when x= -3,0 and 2
(-3,0.75), (0,6) , (2,24)
Evaluate this equation
(-2)-4
1/16
simplify this equation, write your answer using only positive exponents.
75/2x73/2=75/2+3/2
74
What is 128% as a decimal?
1.28
Use properties of exponents to rewrite the function in the form of y = a(1+r)t
f(t) = (1.1)t-3
0.75(1.1)t
simplify the expression
(g2/2)-3
8/g6
Evaluate this equation
32x36
38
Simplify the equation, write your answers in only positive exponents . 62/3/64/3=62/3-4/3
1/62/3
Evaluate this expression
y= -2(5)x: x=3
-250
7
write an equation in slope intercept form of the line that passes through the given points.
(1,7), (3,-3)
y=-5x+12
(-1.5y)2
Simplify this expression
2.25y2
Simplify this expression but provide your answer only using positive exponents.
274/3=(271/3)4
81
Evaluate this expression
F(x) =3(0.5)x: x=-2
12
An emergency plumber charges $65 as a call out fee plus an additional $75 per hour. He arrives at a house at 9:30 and works to repair a water tank. if the total repair bill is $196.25, at what time was the repair completed? - the time taken in hours will be represented as "x". find out what time the job was completed and also form an equation using this information to find your answer.
the equation: 196.25=65+75xthe jop was completed at 11:15 AM
write an equation in slope intercept form of the line that passes through the given points.
(0,-10), (8,-4)
y=3/4x-10
Evaluate this expression
(2x/3)-5
243/32x5
Simplify this expression , provide your answer only using positive exponents. 163/4=(161/4)3
8
Evaluate the function when x= -2, 0, and 1/2
f(x)=1.5(2)x
When x=-2 f(-2)=1.5(2)-2=0.375
When x =0 f(0)=1.5(2)0=1.5
When x =1/2 f(1/2)1/2~2.12
The initial amount is 150,000, and the rate of growth is 8%, or 0.08. So, the situation can be represented by an exponential growth function.
The festival attendance can be represented by y = 150,000(1.08)t
you are stopped in a line of traffic that is about 1.5 miles long, how long is the line in inches?
95040 inches