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Naddika [18.5K]
3 years ago
9

Use the number line below, where RS = 7y +5, ST = 2y + 7, and RT = 14y - 28.

Mathematics
1 answer:
Gre4nikov [31]3 years ago
7 0

Answer:

a. 8

b. 61, 23, 84

Step-by-step explanation:

As we can see, point S is between points R and T, therefore:

  • RS + ST = RT
  • 7y + 5 + 2y + 7 = 14y - 28
  • 9y + 12 = 14y - 28
  • 14y - 9y = 12 + 28
  • 5y = 40
  • y = 40/5
  • y = 8

------------

  • RS = 7y+5 = 61
  • ST = 2y + 7= 23
  • RT = 14y - 28 = 84
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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
3 0
3 years ago
Property taxes are based on an assessed value of $132,000 and the tax rate is 8.5 mills. The property closes on Jun 14. On a bas
defon

Answer:

$132,000 X .0085 = $1,122 / 360 = $3.1166 X 164 = $511.13

One mill is one dollar per $1,000 dollars of assessed value.

In our case 8.5 mills equivalent to 0.0085.

So to get the assessed value for one day

we will get

$132,000 X .0085 = $1,122 / 360 = $3.1166

Now we have the value for one day,

For June 14, we will calculate the days from January 1st to date

total days are 164.  i.e. 5*30+14 = 164

Finally, the seller owes

$3.1166 * 164 = 511.13

6 0
3 years ago
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