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QveST [7]
3 years ago
7

What is the domain of the function f(w) = 0.5(35 – 2w)? Explain your answer.

Mathematics
1 answer:
Igoryamba3 years ago
5 0
The domain is all real numbers, the function is a variant of linear, which could be expressed in the form of y=mx+b as y = -w + 17.5, therefore all real numbers is the domain and the range.
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42. A cylinder has a base of 36 π in² and a volume of 432π in³. What is the surface area of the same cylinder? *
faust18 [17]

Answer:

216π in²

Step-by-step explanation:

Base area = π × r²

36 π = π × r²

r² = 36

r = 6

Volume = base area × height

432 π = 36 π × height

height = 12

Surface area:

2 × π × r × (r + h)

2π × 6 × (6 + 12)

216π

8 0
3 years ago
Please help me outtttt
QveST [7]

Answer:

C

Step-by-step explanation:

6 0
3 years ago
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A chef got 7 bags of onions. The red onions came in bags of 8 and the yellow onions came in bags of 3. If the chef got a total o
frutty [35]

Answer:

\#\text{ of 8-onion bags: }4,\\\#\text{ of 3-onion bags: }3

Step-by-step explanation:

Let a be the number of bags with 8 onions and let b be the number of bags with 3 onions. We have the following system of equations:

\begin{cases}a+b=7,\\8a+3b=41\end{cases}

Subtracting b from both sides of the first equation, we get a=7-b. Substitute this into the second equation:

8(7-b)+3b=41,\\56-8b+3b=41,\\56-5b=41,\\-5b=-15,\\b=\boxed{3}

Therefore, the number of 8-onion bags is:

a=7-b,\\a=7-3,\\a=\boxed{4}

Thus, the chef got 4 8-onion bags and 3 3-onion bags.

5 0
3 years ago
Is (–5, 0.5) a solution of this system? x – 4y = –7, 0.2x + 2y = 0 Substitute (–5, 0.5) into x – 4y = –7 to get . Substitute (–5
kaheart [24]

<u>ANSWER: </u>

(-5, 0.5) is the solution of given equation x – 4y = –7, 0.2x + 2y = 0.

<u>SOLUTION: </u>

Given, two equations are x – 4y = -7 → (1)

And 0.2x + 2y = 0 → (2)

We have to find whether (-5, 0.5) is a solution of given system or not.

For that, we have to solve the given two equations.  

Before solving let us multiply equation (2) with 2 in order to get y terms cancelled. Such that, our  process becomes easy.  

Now equation (2) becomes

0.4x + 4y = 0 → ( 3 )

Now, add equation (1) and equation (3), we get

1.4x + 0 = -7

x=\frac{-7}{1.4}=-5

Now, substitute x value in (2)

0.2(-5) + 2y = 0

-1 + 2y = 0

2y = 1

y = 0.5

So, the solution for given equations is (-5, 0.5).

Hence (-5, 0.5) is the solution of given equations.  

8 0
3 years ago
Read 2 more answers
What is the product?
svlad2 [7]

Answer:

Third option: 2x^3-11x^2+16x-3

Step-by-step explanation:

The product to be found is:

(x-3)(2x^2-5x+1)

Distributive property will be used for the product:

x(2x^2-5x+1)-3(2x^2-5x+1)\\

Multiplication will give us:

=2x^3-5x^2+x-6x^2+15x-3\\Combining\ alike\ terms\\=2x^3-5x^2-6x^2+x+15x-3\\=2x^3-11x^2+16x-3

The product is: 2x^3-11x^2+16x-3

Hence, third option is the correct answer ..

4 0
3 years ago
Read 2 more answers
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