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baherus [9]
4 years ago
14

Rewrite the function by completing the square. h(x)= 4 x^{2} -36 x +81

Mathematics
1 answer:
noname [10]4 years ago
6 0

Answer:

4(x-4.5)^2

Step-by-step explanation:

h(x)=4x^2-36x+81

=4(x^2-9x)+81

=4(x^2-9x+20.25)-(4)(20.25)+81

=4(x-4.5)^2

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Write 2^8 * 8^2 * 4^-4 in the form 2^n
Eva8 [605]

The given expression 2^8 * 8^2 * 4^-4 can be written in the exponential form 2^n as 2^6.

<h3>What are exponential forms?</h3>

The exponential form is a more convenient way to write repetitive multiplication of the same integer by using the base and its exponents.

<u>For example:</u>

If we have a*a*a*a, it can be written in exponential form as:

=a^4

where

  • a is the base, and
  • 4 is the power.

The power in this format reflects the number of times we multiply the base by itself. The exponent is also known as the index or power. 

From the information given:

We can write 2^8 * 8^2 * 4^-4 in form of 2^n as follows:

\mathbf{= 2^8\times (2^3)^2 \times (2^2)^{-4} }

\mathbf{= 2^8\times (2^6) \times (2^{-8}) }

\mathbf{= 2^{8+6+(-8)}}

\mathbf{= 2^{6}}

Therefore, we can conclude that by using the exponential form, the given expression 2^8 * 8^2 * 4^-4 in the form 2^n is 2^6.

Learn more about exponential forms here:

brainly.com/question/8844911

#SPJ1

4 0
2 years ago
Sharifah earned $61,000 last year. If the first $34,000 is taxed at 11% and income above that is taxed at 17%, how much does Sha
Marina CMI [18]

Using proportions, it is found that Sharifah owns $8,330 in taxes.

<h3>What is a proportion?</h3>
  • A proportion is a <u>fraction of total amount</u>, and the measures are related using a rule of three.
  • Hence, using proportions, a percentage x% of an amount a is given by: \frac{x}{100} \times a.

<h3>Taxes for the first $34,000:</h3>
  • Rate of 11%, hence:

T_1 = 0.11(34000) = 3740

<h3>Taxes for the amount above $34,000:</h3>
  • The amount taxed is $27,000, as 61000 - 34000 = 27000.
  • Rate of 17%, hence:

T_2 = 0.17(27000) = 4590

Then, the total amount is:

T = T_1 + T_2 = 3740 + 4590 = 8330

Sharifah owns $8,330 in taxes.

You can learn more about proportions at brainly.com/question/24372153

8 0
3 years ago
How to solve factor. 8t^2-3=2t
nadya68 [22]
It's 64t-3=2t or if your solving for t it's 20.6666666667 so round it to get 21
6 0
3 years ago
Read 2 more answers
Terrell's mom paid $27 for 18 juice boxes for the party. at that rate, how much would she pay for 24 juice boxes?
deff fn [24]
This is an item involving the use of ratio and proportion. The ratio between the the cost and the number of juice boxes should always be equal. With this,  
                                ($27 / 18 juice boxes) = (x / 24 juice boxes)
Solving x from the equation gives x = 36. Thus, 24 juice boxes cost $36. 
8 0
3 years ago
Solve 0 = -1.8y + 0.72. What is y = to?<br> 1.0.4<br> 2.-0.4<br> 3.0.8<br> 4.1.8
PIT_PIT [208]

Answer:

0.4

Step-by-step explanation:

just solve it like an equation.

4 0
3 years ago
Read 2 more answers
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