Answer:
velocity at t=1 is 1 ft/s
Step-by-step explanation:
by integration s(t) equation we get v(t)
v(t)=33-32t
by substitution t=1 in v(t) equation we get
33-32=1 ft/s
Answer:
The minimum value of f(x) is 2
Step-by-step explanation:
- To find the minimum value of the function f(x), you should find the value of x which has the minimum value of y, so we will use the differentiation to find it
- Differentiate f(x) with respect to x and equate it by 0 to find x, then substitute the value of x in f(x) to find the minimum value of f(x)
∵ f(x) = 2x² - 4x + 4
→ Find f'(x)
∵ f'(x) = 2(2)
- 4(1)
+ 0
∴ f'(x) = 4x - 4
→ Equate f'(x) by 0
∵ f'(x) = 0
∴ 4x - 4 = 0
→ Add 4 to both sides
∵ 4x - 4 + 4 = 0 + 4
∴ 4x = 4
→ Divide both sides by 4
∴ x = 1
→ The minimum value is f(1)
∵ f(1) = 2(1)² - 4(1) + 4
∴ f(1) = 2 - 4 + 4
∴ f(1) = 2
∴ The minimum value of f(x) is 2
Answer:
x = - 1
Step-by-step explanation:
Given
- 4(3x - 7) = 40 ( divide both sides by - 4 )
3x - 7 = - 10 ( add 7 to both sides )
3x = - 3 ( divide both sides by 3 )
x = - 1
Answer:
A
Step-by-step explanation:
square root of 73 is about 8.5
square root of 10 is about 3. multiply by 3, you get 9.
square root of 7 is about 2.6. multiply by 5, you get 13.
when determining if you can make a triangle, if all variants of two sides can add up to be greater than the third side, you can make the triangle. so 8.5+9 > 13; 13+9 > 8.5; 13+8.5 > 9. this means it can make a triangle and all you have to do is order the sides.
8.5 is smallest which corresponds to angle c because it's opposite. 9 goes to angle a, then finally 13 goes to angle b. thus, angles c, a, b is the order.
side note: the smallest side length will always correspond with the smallest angle.
hope this helps :)
