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Levart [38]
3 years ago
8

For a proof by induction of the math statement below, identify the correct step for proving the theorem is true for n = k + 1. H

ELP ASAP THANKS!!

Mathematics
1 answer:
Pavel [41]3 years ago
4 0
<h3>Answer: Choice A</h3>

What we do is simply replace every n with k+1. So (3n)^2 turns into (3(k+1))^2

We see that only choice A has the correct term mentioned on the left hand side, so this must be the answer.

The right hand side is treated the same way. We plug in n = k+1. Your teacher did a bit of algebraic manipulation to get what is shown for choice A.

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Solve the equaion <br>2b+3=2-3(b+3)​
ELEN [110]

Answer:

Expand

2b + 3 = 2 -3b -9

Correct like terms

2b + 3 = 3b - 7

Move 2b to the otherside as a negative number and -7 to the otherside positive number.

-4 = -5b

Divide both sides by negative five

b is equal to 4/5

Step-by-step explanation:

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6 0
3 years ago
Assume federal exemption is, $3300.00, you earn. 37,500.00, the tax rate is 2 3/4%, calculate the tax.
Sauron [17]
3300 exemption

37,500−3,300=34,200 taxable
Tax rate is
2+3/4=2.75% we don't multiply 2by 3/4
Now calculate the amount of tax
34,200×2.75%=940.5
3 0
3 years ago
The Chewy Candy Company is test marketing a new candy bar in Seoul and Manila.
Anon25 [30]

The first month in which the board will see the cumulative total number of candy bars sold in Manila exceeded the cumulative total in Seoul is of:

3rd month.

<h3>What are linear functions?</h3>

The slope-intercept definition of a linear function is presented as follows:

y = mx + b.

In which the coefficients are defined as follows:

  • m is the slope, representing the rate of change.
  • b is the y-intercept, representing the initial value.

For the functions in this problem, the slope and the intercept are given as follows:

  • Slope: Monthly increase.
  • Intercept: amount sold by the end of the first month.

Taking the end of the first month as a parameter, the functions are defined as follows:

  • Seoul: S(m) = 40 + 60(m - 1).
  • Manila: M(m) = 20 + 80(m - 1).

Then Manila exceeds Seoul when:

M(m) > S(m)

20 + 80m - 80 > 40 + 60m - 60

20m > 40

m > 2.

2.1 for example is in the 3rd month, hence the 3rd month is the correct answer.

More can be learned about linear functions at brainly.com/question/24808124

#SPJ1

3 0
1 year ago
The length of a rectangular is 2/5 meter.It's width is 1/4 of its length .What is the perimeter of the rectangle?
Varvara68 [4.7K]
I think the answer is 2 13/20
Or, in decimals:             1.3
3 0
3 years ago
Let f(x) = −x2 + ax + b. Determine the constants a and b such that f has a relative maximum at x = 3 and the relative maximum va
Elan Coil [88]

Answer:

Step-by-step explanation:

5 0
3 years ago
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