Answer:
15 2/3, or 47/3
Step-by-step explanation:
I'm going to assume, correctly or not, that you actually meant f(x) = 2x^2 - (1/3)x + 5. Double check on this right now, please.
If I'm right, then evaluate f(x) at x = 0 and x = 8:
f(0) = 5
and
f(8) = 2(8)^2 - (1/3)(8) + 5 = 128 - 8/3 + 5 = 133 - (2 2/3), or: 130 1/3
Then the average rate of change of f(x) = 2x^2 - (1/3)x + 5 over the interval [0,8] is:
130 1/3 - 5 125 1/3
a. r. c. = ------------------- = ---------------- = 15 2/3, or 47/3
8 - 0 8
Answer:
The correct answer is third option
1/√3
Step-by-step explanation:
From the figure we can see a right angled triangle ABC.
Right angled at C.
AB = 10
AC = 5
BC = 5√3
<u>Points to remember</u>
Tan θ = Opposite side/Adjacent side
<u>To find the value of tan(B)</u>
Tan B = Opposite side/Adjacent side
= AC/BC
= 5/5√3
= 1/√3
Therefore the value of tan(B) = 1/√3
Five over there to the power of negative two is
Three squared over five squared
Which is 9 over 25
Answer:
The monthly growth rate is 2.1%
Step-by-step explanation:
To find the monthly growth rate, we have to consider what is inside the bracket
Mathematically, what we have in the bracket should be written as;
1 + r
Thus;
1 + r = 1.021
r = 1.021-1
r = 0.021
This is same as 2.1%
You want to solve this set of linear equations by the elimination method.
Let x=price of bag of flour and y=price of bag of sugar
Multiply the first equation by -3.
-3(7x+5y=584)
Multiply the second equation by 5.
5(5x+3y=384)
Solve by elimination.
X=42
Substitute value of x into one of the original equations.
Y=58
