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3 years ago

I don’t 100% remember how to turn this into a standard problem.. could someone help me really quick?

Mathematics

1 answer:

marin [14]3 years ago

6 0

Standard form is ax^2+bx+c=0

First evaluate the exponent and expand (foil).
y= 3(x^2-4x+4)+1

Then distribute the 3
y= 3x^2-12x+12+1

Combine like terms
y=3x^2-12x+13

Final answer: 3x^2-12x+13=0

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The sum of 5 is equal to 8 less than 6 times y

Alisiya [41]

Answer: 5 = 6 -8y

Step-by-step explanation:

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3 years ago

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Simplify by combining like terms: 2x + 3x + 7

DaniilM [7]

Answer: 5x+7

Step-by-step explanation:

2x+3x+7

5x+7

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3 years ago

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The sum of two polynomials is 10a^2b^2-8a^2b+6ab^2-4ab+2 if one addend is -5a^2b^2+12a^2b-5 what is the other addend

spayn [35]

Answer:

The other addend is $15\cdot a^{2}\cdot b^{2}-20\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +7$ .

Step-by-step explanation:

The other addend is determined by subtracting $-5\cdot a^{2}\cdot b^{2}+12\cdot a^{2}\cdot b-5$ from $10\cdot a^{2}\cdot b^{2}-8\cdot a^{2}\cdot b + 6\cdot a\cdot b^{2}-4\cdot a \cdot b + 2$ :

$x = 10\cdot a^{2}\cdot b^{2}-8\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b + 2 - (-5\cdot a^{2}\cdot b^{2}+12\cdot a^{2}\cdot b -5)$

$x = 10\cdot a^{2}\cdot b^{2}-8\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +2 +5\cdot a^{2}\cdot b^{2}-12\cdot a^{2}\cdot b+5$

$x = (10\cdot a^{2}\cdot b^{2}+5\cdot a^{2}\cdot b^{2})-(8\cdot a^{2}\cdot b+12\cdot a^{2}\cdot b)+6\cdot a \cdot b^{2}-4\cdot a \cdot b +7$

$x = 15\cdot a^{2}\cdot b^{2}-20\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +7$

The other addend is $15\cdot a^{2}\cdot b^{2}-20\cdot a^{2}\cdot b + 6\cdot a \cdot b^{2}-4\cdot a \cdot b +7$ .

6 0

2 years ago

2X+4=20+5X<br>A)1/2 B)-1/2 C)2 D)-2

Nookie1986 [14]

Answer:

It seems that your options aren't correct as the right answer is -5.3333... (recurring)

Step-by-step explanation:

1) 2x + 4 = 20 + 5x (subtract by the smallest unknown)

-2x -2x

2) 4 = 20 + 3x

-20 -20 (now subtract each side by 20 as we want to leave the unknown on one side and another number on the other side.

3) -16 = 3x (Divide each side by 3)

÷3 = ÷3

4) -5.33333... = x

<h3>Now we have found x but if you're unsure you can substitute to see if your answer is correct.</h3><h3>2 x -5.3333 + 4 = -6.6666</h3><h3>20 + 5 x -5.3333= -6.6665</h3><h3>Our answer is correct! (When answers are rounded, it is equal to the same thing).</h3>

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3 years ago

A pizza chain wants to send codes for $2 off a large pizza to the subscribers of its e-mail list. Each coupon code will have thr

kati45 [8]

Answer:

438,012 ways.

Step-by-step explanation:

We have been given that each coupon code will have three letters followed by two digits. The letters M, N, and O and the digits 1, 3, 5, and 7 will not be used. So, there are 23 letters and 6 digits that will be used.

Since the letters and digits can be repeated, so we will use fundamental principal of counting.

For first place, we can use 23 letters, for 2nd and 3rd place we can use 23 letters.

We can use 6 digits for 1st digit place and 6 digit for 2nd digit place as repetition is allowed.

So we can choose coupon code is following ways:

$23\cdot 23\cdot 23\cdot 6\cdot 6=438012$

Therefore, we can choose coupon codes in 438,012 ways.

3 0

3 years ago