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NikAS [45]
3 years ago
11

F(x)= square root of x+2; g(x)=8x-12 find f(g(x))

Mathematics
1 answer:
Ann [662]3 years ago
4 0
f(x)=\sqrt{x+2}\\g(x)=8x-12\\f(g(x))=\sqrt{8x-12+2}=\sqrt{8x-10}

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A list of 5 steps Cecile used to factor 16 x squared minus 9. Analyze Cecile’s work. Is it correct? No, adding in 0x keeps an eq
suter [353]

The Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.

<h3>What is factor of polynomial?</h3>

Factor of a polynomial is the terms in linear form, which are when multiplied together, give the original polynomial equation as result.

The given polynomial expression is,

f(x)=16x^6-9

Now, Cecile add 0x as,

f(x)=16x^6+0x-9

Now, here the product of 16 and 9 is 144. Therefore, the factors must have the product of 144 and sum of 0. Thus, by using the split the factor method as,

f(x)=16x^6+12x-12x-9\\f(x)=4x^3(4x^3+3)+(-3)(4x^3+3)\\f(x)=(4x^3+3)(4x^3-3)

Thus, the Cecile factored the polynomial correctly by factor 16 x squared minus 9 using the X-method of factorization.

Learn more about factor of polynomial here;

brainly.com/question/24380382

5 0
2 years ago
Read 2 more answers
A map of a rectangular park has a length of 4 inches and a width of 6 inches. It uses a scale of 1 inch for every 30 Miles. What
MakcuM [25]

Answer:

The actual area 21600 miles²

Step-by-step explanation:

* <em>Lets explain how to solve the problem</em>

- A drawing that shows a real object with accurate sizes reduced or

 enlarged by a certain amount called the scale

- Drawing scale is a ratio between the drawing length and the

 actual length

- To find the actual dimensions from the drawing dimensions use the

  scale drawing

*<em> Lets solve the problem</em>

- A map of a rectangular park has a length of 4 inches and a width

 of 6 inches

∴ The drawing dimensions are:

# length = 4 inches

# width = 6 inches

- The scale of the map is 1 inch foe every 30 miles

∴ The scale drawing is 1 : 30

- To find the actual area find the actual dimensions

∵ The scale drawing is 1 : 30

∵ The length = 4 inches and the width = 6 inches

- By using cross multiplication

∴  1        :        30

   4       :  actual length

   6       :  actual width

∴ Actual length = (4 × 30)/1 = 120

∴ Actual length = 120 miles

∴ Actual width = (6 × 30)/1 = 180

∴ Actual Width = 180 miles

∴ The actual dimensions are 120 miles and 180 miles

∵ The area of any rectangle = length × width

∴ The actual area = 120 × 180 = 21600

∴ The actual area 21600 miles²

5 0
3 years ago
Ingrid deposit $10,000 in an IRA what will be the value of her investment six years if the investment earning 3.2% per year and
enyata [817]

Answer:

  • $12116.71

Step-by-step explanation:

Given

  • Deposit = $10000
  • Interest rate = 3.2% PA
  • Interest type = compound
  • Frequency = continuous
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Calculation

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7 0
3 years ago
Mrs. Chin paid a 20 percent tip on the bill for lunch.
dolphi86 [110]

Answer:

I think it's maybe $55.00

Step-by-step explanation:

4 0
3 years ago
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Using the given points, determine the slope. (5,-6)and(2,15)
Hunter-Best [27]
Subtract the y-coordinates. This is the rise.
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Slope = rise/run.

Subtract the y-coordinates: -6 - 15 = -21. rise = -21
Subtract the x-coordinates in the same order:5 - 2 = 3. run = 3

slope = rise/run = -21/3 = -7
6 0
3 years ago
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