Answer:
I think its 7.5 but I might be wrong
Step-by-step explanation:
Answer:
5000
Step-by-step explanation:
In vertex form, the cost function is ...
C(x) = 3(x² -10x) +175 = 3(x² -10x +25) +175 -3(25)
C(x) = 3(x -5)² +100
The vertex is at x=5, so the cost function will be minimized when 5000 speed boats are produced.
If the ball hit the ground it means that its height is equal to 0. In order to find the time after the ball <span>will hit the ground, we need to find the solution of the equation h(x)=0 which is different to 0.
-4.9x^2+21.3x=0
x(-4.9x+21.3)=0
-4.9x+21.3=0
x=21.3/4.9 = 4.3469 seconds</span>
Answer: C= -10
Step-by-step explanation: First step: simplify both sides of the equation
3c−2(c+10)=7c−5(c+2)
3c+(−2)(c)+(−2)(10)=7c+(−5)(c)+(−5)(2) (Distribute)
3c+−2c+−20=7c+−5c+−10
(3c+−2c)+(−20)=(7c+−5c)+(−10) (Combine Like Terms)
c + -20 = 2c - 10
c - 20 = 2c - 10
Step 2: Subtract 2c from both sides
c - 20 - 2c = 2c -10 - 2c
−c−20=−10
Step 3: Add 20 to both sides
−c−20+20=−10+20
−c=10
Step 4: Divide both sides by -1
-c/-1 = 10/-1
C=-10
Answer:
19.365
Step-by-step explanation:
The Pythagoreum Theorum tells us that:
a² + b² = c²
where a and b are the legs and c is the hypotenuse.
BC is a leg; we'll lable it a.
AC is the hypotenuse thus labled c.
Plugging their lengths into the above formula will solve for the missing leg length.
5² + x² = 20²
25 + x² = 400
x² = 375
✓x = ✓3 x (5 x 5) x 5
x = 5✓15
x = 19.365
