To find the percentage of a number, first, convert it to a decimal and then multiply.
To convert a percentage to a decimal, move the decimal point over 2 spaces to the left. That makes 80% = 0.80
Then multiply 0.80 by 30.
0.80 • 30 = 24
Peggy got 24 questions correct.
Answer:
The sum of three times a number and six, divided by the difference of seven times the number and nine
Step-by-step explanation:
we have
Let
p -----> the number
we know that
The numerator is (3p+6)
The phrase that represent this algebraic expression is "The sum of three times a number plus six"
The denominator is (7p-9)
The phrase that represent this algebraic expression is "The difference of seven times the number and nine"
therefore
The phrase that represent this problem is "The sum of three times a number and six, divided by the difference of seven times the number and nine"
Given
d(t)=-16t^2-4t+382
1. times at which rock is 310 from ground
solve d(t)=310=-16t^2-4t+382
=>
16t^2+4t-72=0
t=(-4+/-sqrt(4^2+4*16*72)/(2*16)
=> t=-9/4 or t=2
Reject negative root from context, so
time=2 seconds.
2.
maximum is when d'(t)=0, or
-32t-4=0 => t=-1/8
Therefore rock was descending since t=0 (can also see from -4t, i.e. initial velocity is -4 ft/s)
Rock reaches ground when d(t)=0, i.e.
-16t^2-4t+382=0
t=-5.01 or t=4.763 seconds. reject negative root.
Therefore, domain, t=0 to 4.763 seconds
range = 0 to 382 ft
Answer:
B is the answer
the graph is shifted up +3
the graph is curving upward, so the power has to be positive