Carson needed pencil and erasers, but the total amount can not be over 40. Pencils were $4 and erasers were 5$. How much pencils and erasers can he buy without spender over $80
The inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
<h3>How to determine the inverse relation?</h3>
The function is given as
f(x)=1/3x^2-3x+5
Start by rewriting the function in vertex form
f(x) = 1/3(x - 9/2)^2 -7/4
Rewrite the function as
y = 1/3(x - 9/2)^2 -7/4
Swap x and y
x = 1/3(y - 9/2)^2 -7/4
Add 7/4 to both sides
x + 7/4= 1/3(y - 9/2)^2
Multiply by 3
3x + 21/4= (y - 9/2)^2
Take the square roots
y - 9/2 = √(3x + 21/4)
This gives
y = 9/2 + √(3x + 21/4)
Hence, the inverse relation of the function f(x)=1/3x*2-3x+5 is f-1(x) = 9/2 + √(3x + 21/4)
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Answer:
4. 1/4 5. 5/6 6. 2/3 7. 3/4 8. 9/10 9. 6/7
Step-by-step explanation:
I'm pretty sure its right
Answer:
W=5.3, l= 15.6
Step-by-step explanation:
Perimeter of a rectangle p=2(l+w)
P= 42
W= x
L= 5+2x therefore 42=2(5+2x+x)
42=10+6x , 32=6x
Make x subject of formula
X=32/6 x=5.3 there for w=5.3
Where L= 5+2x ; L=5+2(5.3)
L therefore = 15.6
