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umka21 [38]
3 years ago
6

Which statement describes the first step to solve the equation by completing the square?

Mathematics
1 answer:
BabaBlast [244]3 years ago
8 0
Take 16x divide it by 2 and square it. 16/2= 8. 8^2= 64. So, the first step will be to add 64 to both sides.
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What's greater? 18% or 11/55?
Umnica [9.8K]

Answer:

11/55

Step-by-step explanation:

11/55 = 20%

18% = 18%

5 0
3 years ago
Read 2 more answers
Find the interquartile range for each data set.Round your answers to the nearest tenth. 19,13,15,26,11,15,17,5,2,0,2,2,4,3,4,6
Fed [463]

Answer:

12.5

Step-by-step explanation:

have a good day! :)

5 0
3 years ago
8. Suppose Betty saves $200 each month in her 401(k) account. How much less will her monthly take-home pay be? (Assume a combine
Dominik [7]

Note: Check the file attached below for the complete question

Answer:

Betty's monthly take home is $20 less

Step-by-step explanation:

Betty's monthly income = $2300

Betty's monthly savings = $200

Amount left after savings = $2300 - $200

Amount left after savings = $2100

Federal and State Income tax rate = 20% = 0.2

Tax amount paid = $420

Monthly take home = $2100 - $420

Monthly take home = $1680

Compared to $150 per month savings, Betty's monthly take home is $20 less

6 0
3 years ago
Proof by mathematical induction
Ghella [55]

Answer:

See below.

Step-by-step explanation:

I will assume that 3n is the last term.

First let  n = k, then:

Sum ( k terms) =  7k^2 + 3k

Now, the sum of k+1 terms  = 7k^2 + 3k + (k+1) th term

=  7k^2 + 3k + 14(k + 1) - 4

=   7k^2 + 17k + 10

Now 7(k + 1)^2 = 7k^2 +14 k + 7 so

7k^2 + 17k + 10

=  7(k + 1)^2  + 3k  + 3

= 7(k + 1)^2 + 3(k + 1)

Which is the  formula for the Sum of k terms with the k replaced by k + 1.

Therefore we can say if the sum formula is true for k terms then it is also true for (k + 1) terms.

But the formula is true for 1 term because  7(1)^2 + 3(1) = 10 .

So it must also be true for all subsequent( 2,3 etc) terms.

This completes the proof.

5 0
3 years ago
what property could you used to show that the distance between the elephants and giraffes is the same as the distance between th
Nadya [2.5K]

There are several algebraic properties of equality.

<em>The property that shows that both distance are the equal is the symmetric property of equality</em>

Represent the distance between the elephants and the giraffes with x

Represent the distance between the tigers and the zebras with y

The symmetric property of equality states that:

<em>For 2 expressions or numbers; x and y</em>

<em>If x = y, then y = x</em>

<em />

<em />

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In this context, the above property means that:

<em>If the distance between the elephants and the giraffes is the same as the distance between the tigers and the zebras, then both distance are equal</em>

<em />

Hence, the property to use is the symmetric property of equality

Read more about properties of equality at:

brainly.com/question/13130806

3 0
2 years ago
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