Answer:
Step 3
Step-by-step explanation:
Leonardo is solving the equation 4 (x minus one-fifth) = 2 and two-thirds. His work is shown. Where is his error?
Given :
4(x - 1/5) = 2 2/3
Open the bracket
4x - 4/5 = 2 2/3
Add 4/5 to both sides
4x - 4/5 + 4/5 = 8/3 + 4/5
Lcm of 3 and 5 = 15
4x = (40 + 12) / 15
4x = 40/15 + 12/15
4x = 52/15
Multiply by 1/4
4x * 1/4 = 52/15 * 1/4
x = 52 / 60
x = 13 / 15
Hence, the error is in step 3
15/5 * 3 = 12
Rather ; Leonardo wrote 16
Change the function into vertex form:
f(x)=x²-10x+16
make a square by (adding half of -10)², which is 25, then subtract it:
f(x)=x²-10x+25-25+16
f(x)=(x-5)²-9
so the vertex is at (5,-9)
another way to do it:
f(x)=x²-10x+16
the vertex is when x=-
, b=-10, a=1 in this case.
x=-(-10/2*1)=5
plug x=5 into the quadratic function, you get f(x)=-9
Answer:
the radius
Step-by-step explanation:
the correct answer is the radius
You can use proportions in all of these as I explained in another one of your questions. I'll post the answers if you still want them.
Answer:
V = 6x²(2x - 5)
Step-by-step explanation:
Factor the dimensions, that is
24x² + 6x = 6x(4x + 1) ← common factor of 6x
x² - x = x(x - 1) ← common factor of x
The product lwh can now be written
V = 
× (2x - 5) × 
Cancel the factors (4x + 1) and (x - 1) from the numerators/ denominators
V = 6x × x × (2x - 5) = 6x²(2x - 5) ← in factored form
