Answer:
16+5w
Step-by-step explanation:
2(5 + w) + 3(w + 2)
5+w evaluates to 5+w
Multiply 2 by 5+w
we multiply 2 by each term in 5+w term by term.
This is the distributive property of multiplication.
Multiply 2 and 5
1
2 × 5 = 10
Multiply 2 and w
Multiply 1 and w
The w just gets copied along.
w
2 × w = 2w
2*(5+w) evaluates to 10+2w
w+2 evaluates to w+2
Multiply 3 by w+2
we multiply 3 by each term in w+2 term by term.
This is the distributive property of multiplication.
Multiply 3 and w
Multiply 1 and w
The w just gets copied along.
w
3 × w = 3w
Multiply 3 and 2
1
3 × 2 = 6
3*(w+2) evaluates to 3w+6
To add the polynomials 10+2w and 3w+6 we try to add or combine terms in one polynomialwith any like terms in the other polynomial.
10 + 6 = 16
2w + 3w = 5w
The answer is 16+5w
2*(5+w)+3*(w+2) evaluates to 16+5w
The final answer is
16+5w
Answer:
(-3,8)
Step-by-step explanation:
When reflecting over the y-axis, you are switching from positive to negative x-values. Since 3 was already positive, we change the integer and in this case, to negative, so it becomes -3. Since the y value remains the same we don’t change the 8. So (-3,8)
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Answer:
The equation for the object's height s at time t seconds after launch is s(t) = –4.9t2 + 19.6t + 58.8, where s is in meters. When does the object strike the ground.
Step-by-step explanation:
Answer:

General Formulas and Concepts:
<u>Calculus</u>
The derivative of a constant is equal to 0
Basic Power Rule:
- f(x) = cxⁿ
- f’(x) = c·nxⁿ⁻¹
Product Rule: ![\frac{d}{dx} [f(x)g(x)]=f'(x)g(x) + g'(x)f(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%20%5Bf%28x%29g%28x%29%5D%3Df%27%28x%29g%28x%29%20%2B%20g%27%28x%29f%28x%29)
Chain Rule: ![\frac{d}{dx}[f(g(x))] =f'(g(x)) \cdot g'(x)](https://tex.z-dn.net/?f=%5Cfrac%7Bd%7D%7Bdx%7D%5Bf%28g%28x%29%29%5D%20%3Df%27%28g%28x%29%29%20%5Ccdot%20g%27%28x%29)
Step-by-step explanation:
<u>Step 1: Define</u>

<u>Step 2: Rewrite</u>

<u>Step 3: Differentiate</u>
- Product Rule [Basic Power/Chain Rule]:

- Simplify:

- Rewrite:

- Add:

Answer:
30 m vertically and 10 horizontally for a rectangle in a corner of the warehouse.