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lawyer [7]
2 years ago
10

if the width of a football field is (x-3) and the length is (4x-3), what is the area? need before 1:40 on 3-19-2021

Mathematics
1 answer:
Marrrta [24]2 years ago
7 0

Answer:

4x² - 15x + 9

Step-by-step explanation:

To find the area of a rectangle, you multiply the length by the width.

length: 4x - 3

width: x - 3

Multiply these expressions.

(4x - 3)(x - 3)

To multiply two binomials, you want to FOIL them

FOIL: first | outer | inner | last

(4x - 3)(x - 3)

F: 4x • x = 4x²

O: 4x • -3 = -12x

I: -3 • x = -3x

L: -3 • -3 = 9

Combine these values.

4x² - 12x - 3x + 9

Combine the variables that can be combined.

4x² - 15x + 9

This is the area as an expression.

Hope this helps!

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* The nth term of sequence A is 3n − 2 The nth term of sequence B is 10 − 2n Sally says there is only one number that is in both
Nina [5.8K]

Answer:

Sally is not right

Step-by-step explanation:

Given the two sequences which have their respective n^{th} terms as following:

Sequence A. 3n - 2

Sequence B. 10 - 2n

As per Sally, there exists only one number which is in both the sequences.

To find:

Whether Sally is correct or not.

Solution:

For Sally to be correct, we need to put the n^{th} terms of the respective sequences as equal and let us verify that.

3n-2=10-2n\\\Rightarrow 3n+2n=10+2\\\Rightarrow 5n=12\\\Rightarrow n = \dfrac{12}{5}

When we talk about n^{th} terms, n here is a whole number not a fractional number.

But as per the statement as stated by Sally n is a fractional number, only then the two sequences can have a number which is in the both sequences.

Therefore, no number can be in both the sequences A and B.

Hence, Sally is not right.

7 0
2 years ago
Which of the following is the factored form of 9y2-121​
lukranit [14]
It's the first one.

If you work backwords, I'd say it's easier. 3y swuared is 9y2, and 11 squared is 121. Then just keep the sign the same
4 0
2 years ago
Show all work to identify the asymptotes and zero of the function f of x equals 5 x over quantity x squared minus 25.
Lorico [155]

Answer:

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  • zero: x = 0

Step-by-step explanation:

The function of interest is ...

  f(x)=\dfrac{5x}{x^2-25}=\dfrac{5x}{(x-5)(x+5)}

The asymptotes are found where the denominator is zero. It will be zero when either factor is zero, so at x = 5 and x = -5

__

The zeros are found where the numerator is zero. It will be zero for x = 0.

The asymptotes are x=-5, x=5; the zero is x=0.

4 0
2 years ago
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maxonik [38]
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6 0
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