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4 years ago

Use the grouping method to factor the polynomial below completely. 3x^3 + 9x^2 + 4x + 12

Mathematics

1 answer:

Alex4 years ago

4 0

Answer:

$(x+3)(3x^{2}+4)$

Step-by-step explanation:

$3x^{3}+9x^{2}+4x+12\\3x^{2}(x+3)+4(x+3)\\(x+3)(3x^{2}+4)$

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Solve: negative 1 over 2 x + 2 = −x + 7<br><br> 10<br><br> 5 over 2<br><br> 2 over 5<br><br> 20

yan [13]

-1/2x + 2 = -x + 7
-1/2x + x = 7 - 2
1/2x = 5
x = 10

7 0

3 years ago

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How would you substitute 2x+3y=12 and 4x=10+y

Helen [10]

Answer:

Step-by-step explanation:

$\left\{\begin{array}{ccc}2x+3y=12\\4x=10+y&\text{subtract 10 from both sides}\end{array}\right\\\\\left\{\begin{array}{ccc}2x+3y=12&(1)\\4x-10=y&(2)\end{array}\right\\\\\text{Substitute (2) to (1):}\\\\2x+3(4x-10)=12\qquad\text{use the distributive property}\\2x+(3)(4x)+(3)(-10)=12\\2x+12x-30=12\qquad\text{add 30 to both sides}\\14x-30+30=12+30\\14x=42\qquad\text{divide both sides by 14}\\\\\dfrac{14x}{14}=\dfrac{42}{14}\\\\x=3$

$\text{Put it ot (2):}\\\\y=4(3)-10\\y=12-10\\y=2$

3 0

3 years ago

What is the facttor expreesion of 11x + 55

AVprozaik [17]

The answer is x=5
you have to divide 11 to both side to get x alone, 11 divided by 11 cancels out which leaves x by its self then you have to divide to 55 which = 5

6 0

3 years ago

Show that the equation Y -2= 4(3x+5) is a liner and then tell if it represents a proportional or nonproportional relationship be

Grace [21]

Answer:

y=12x+22 is linear but not proportional

Step-by-step explanation:

$y-2=4(3x+5)$

This is a linear equation because it has an x and y within the expression without exponents or other complex operators. We can rearrange and simplify the equation into slope-intercept form.

$y-2=4(3x+5)\\y-2=12x+20\\y-2+2=12x+20+2\\y=12x+22$

This linear equation follows the form y=mx+b where m is the slope and b is the y-intercept. For this function, m=12 and b=22. This is not a proportional relationship because the function's y-intercept is something other than 0.

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4 years ago

you make a scale drawing of a banner for school dance .you use a scale of 1 inch ,2 feet what is the actual width of the banner

sashaice [31]

Answer:

6.5

Step-by-step explanation:

you take the sides all added up (which was 13in) and divided it by two

5 0

3 years ago

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