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Nady [450]
3 years ago
6

Let p=3x+4p=3x+4p, equals, 3, x, plus, 4. which equation is equivalent to (3x+4)^2-36=15x+20(3x+4) 2 −36=15x+20left parenthesis,

3, x, plus, 4, right parenthesis, start superscript, 2, end superscript, minus, 36, equals, 15, x, plus, 20 in terms of ppp ?
Mathematics
1 answer:
Bogdan [553]3 years ago
5 0
For this case we have the following equation:
 (3x + 4) ^ 2-36 = 15x + 20
 We can rewrite the equation:
 (3x + 4) ^ 2-36 = 5 (3x + 4)
 Now we define the following variable:
 p = 3x + 4
 Substituting the variable in the equation we have:
 p ^ 2-36 = 5p
 Rewriting:
 p ^ 2 - 5p - 36 = 0
 Answer:
 
An equation that is equivalent in terms of p is:
 
p ^ 2 - 5p - 36 = 0
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When an exponent is raised to another exponent, you can multiply the powers to simplify them.

3/8*3/4

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3 years ago
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Jenna sold 63 bracelets at one craft show and 36 and another which expression correctly applies the distributive property to sho
aev [14]

Answer:

C . 63 + 36 = 9(7 + 4)

Step-by-step explanation:

Jenna sold 63 bracelets at one craft fair and 36 bracelets at a second craft fair. Which expression correctly applies the distributive property to show equivalent expressions for the total number of bracelets she sold?

63 + 36 = (3)(21) + (9)(4)

63 + 36 = (7)(9) + (12)(3)

63 + 36 = 9(7 + 4)

63 + 36 = 3(21 + 9)

To “distribute” means to divide something or give a share or part of something.

According to the distributive property, multiplying the sum of two or more addends by a number will give the same result as multiplying each addend individually by the number and then adding the products together.

To determine the distributive property to show equivalent expression, find the common factors of 63 and 36

63 = 3, 7, 9, 21,

36 = 2, 3, 4, 6, 9, 12, 18,

Common factors of 63 and 36 are 3 and 9

Using 3

3(21 + 12)

Using 9

9(7 + 4)

3(21 + 12) is not one of the options, therefore, 9(7 + 4) is the answer

Option C gives the distributive property

63 + 36 = 9(7 + 4)

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3 years ago
Travis wants to solve a quadratic equation. Since his equation cannot be factored, Travis has to graph the equation and approxim
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Answer:

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Step-by-step explanation:

In order to find this, calculate out the discriminant for each of the following equations. If the discriminant is a perfect square, then it can be factored.

Discriminant = b^2 - 4ac

The only of the equations that does not yield a perfect square is B. The work for it is done below for you.

Discriminant = b^2 - 4ac

Discriminant = 7^2 - 4(2)(-5)

Discriminant = 49 + 40

Discriminant = 89

Since 89 is not a perfect square, we cannot factor this.

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