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Snowcat [4.5K]
3 years ago
5

You can run 3­ 3/5 miles in 40 minutes. What is your unit rate?

Mathematics
1 answer:
fiasKO [112]3 years ago
3 0
Unit rate is how many units of work can you do in 1 unit of time

3 and 3/5=3+3/5=15/5+3/5=18/5

(18/5mi)/40mins
divide by 40
aka times 1/40
(18/5)(1/40)=18/200=9/100=0.9/10=0.09/1
0.09 miles per minute
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A square purple rug has a orange square in the center. The side length of the orange square is x inches. The width of the purple
Liono4ka [1.6K]

Answer:

578 + 48 square inches

Step-by-step explanation:

The computation of the area of the purple band is as follows:

Area of the green square = side^2 = x^ square inches

And, the area of the orange square = side^2

The side would be = = 12 + 12 +x  = 24 + x

And, now the area would be = (x + 24)^2

Now the area of the orange band is

= Area of the orange square  area of the green square

= (x + 24)^2 - x^2

= x^2 + 24^2 + 48  - x^2

= 578 + 48 square inches

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2 years ago
F(x+h) = (x+h)² + 3(x+h)^3<br><br> How would I distribute this?
Leno4ka [110]

Answer:

f(x + h) = 3x³ + x² + 9h²x + 3h³ + h² + 9hx² + 2hx

General Formulas and Concepts:

  • Order of Operations: BPEMDAS
  • Distributive Property
  • Expand by FOIL (First Outside Inside Last)
  • Combining like terms

Step-by-step explanation:

<u>Step 1: Define function</u>

f(x) = x² + 3x³

f(x + h) is x = x + h

<u>Step 2: Simplify</u>

  1. Substitute:                              f(x + h) = (x + h)² + 3(x + h)³
  2. Expand by FOILing:               f(x + h) = (x² + 2hx + h²) + 3(x + h)³
  3. Rewrite:                                  f(x + h) = (x² + 2hx + h²) + 3(x + h)²(x + h)
  4. Expand by FOILing:               f(x + h) = (x²+2hx+h²) + 3(x² + 2hx + h²)(x+h)
  5. Distribute/Expand:                 f(x + h) = (x²+2hx+h²) + 3(x³+3hx²+3h²x+h³)
  6. Distribute 3:                            f(x + h) = (x²+2hx+h²)+(3x³+9hx²+9h²x+3h³)
  7. Combine like terms:               f(x + h) = 3x³+x²+9h²x+3h³+h²+9hx²+2hx
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Answer:

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Step-by-step explanation:

hope this helps

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