Hi there!
Begin by differentiating f(x) using the power rule:
dy/dx = nxⁿ⁻¹
Therefore:
f(x) = 3x² - 5x + 10
f'(x) = 6x - 5
Set this equation equal to 0 to find the x-intercept:
0 = 6x - 5
5 = 6x
x = 5/6, which is where the graph goes from NEGATIVE to POSITIVE, so there is a MINIMUM at this value.
Answer:
2 + (4/3)(2)
2 + 8/3
6/3 + 8/3
14/3 is the answer
Step-by-step explanation:
This question is far easier to understand if we draw it out. I've included an image attachment to help show the relationships of the measurements. As we can see from the image, their positioning helps form a triangle that we can use the Pythagorean Theorem to find the connection range.
The Theorem is

where a and b are the legs and c is the hypotenuse.





So the answer to the nearest meter is 55 meters.
Answer:
B. 1/3 multiplied by k=7
Step-by-step explanation:
7 ÷ ⅓ = k
Multiply both sides by ⅓
7 ÷ ⅓ × ⅓ = k × ⅓
7 = k × ⅓