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LiRa [457]
3 years ago
6

Distributive property of 36+ 9y

Mathematics
2 answers:
vaieri [72.5K]3 years ago
6 0
Find the greatest common factor (GCF)
in this case it would be 9

divide each term by the GCF
36 / 9 = 4
9y / 9 = y

put the two "new" terms in parenthesis and the GCF in front of it
9 (4 + y)
it could also be 9 (y + 4) because of Commutative Property of Addition
lions [1.4K]3 years ago
5 0
This problem in the distributive form would be 9(4+y) because the greatest common factor, or GCF, is 9. When you divide 36 by 9 you get 4 and 9 divided by 9 is one, therefore leaving the y.
To conclude the answer would be 9(4+y).
I hope this helped! :-)
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What is the GCF of 100 and 20​
malfutka [58]

Answer:

20

Step-by-step explanation:

20 is the greatest factor because:

20*5=100

20*1=20

6 0
2 years ago
Read 2 more answers
F(x)=9 x^{3} +2x^2-5x+4 and g(x)=5x^3-7x+4. What is f(x)-g(x)? Show all of your steps and write your finial answer in factored f
olasank [31]

Answer:

{ -0.5 - √2,  0,  -.5 + √2 }

Step-by-step explanation:

Let's rewrite these two functions in a vertical column:

 f(x)=9 x^{3} +2x^2-5x+4

-g(x)=5x^3-7x+4

Now combine (through subtraction) like terms, in order of descending powers of x:

f(x) - g(x) = 4x^ 3 + 2x^2 + 2x

Let's do some preliminary factoring here.  Factor 2x out of each term, obtaining

f(x) - g(x) = 2x(2x^2 + x + 1)

First setting 2x = 0, we find that x = 0 is one solution.

Applying the quadratic formula to 2x^2 + x + 1, we see that a = 2, b = 1 and c = 1.  Then the two roots of this quadratic are:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± √(8)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

This simplifies to:

      -1 plus or minus √(1^2 - 4(2)(1) )        -1 ± 2√(2)

x = ----------------------------------------------- = ---------------

                         2(1)                                         2

Thus, the roots of f(x) - g(x) are { -0.5 - √2,  0,  -.5 + √2 }

7 0
3 years ago
Find the area of the figure
MakcuM [25]

9514 1404 393

Answer:

  24.885 in²

Step-by-step explanation:

Use the formula for the area of a triangle.

  A = 1/2bh . . . . . . . where b is the base length and h is the height perpendicular to the base

  A = 1/2(7.9 in)(6.3 in) = 24.885 in²

_____

<em>Additional comment</em>

The given side lengths cannot form a triangle, as the side shown as 14.7 is too long for the ends of the other segments to connect to. The attachment shows that side should be 11.97 in.

5 0
2 years ago
I need these 2 questions answered please.​
Sav [38]

The area of the circle is 28 ft square.

The area of the triangle is 30 ft square.

Step-by-step explanation:

1) The area of the circle= π*r^2

where π= 3.14(default value) and "r" is the radius of the circle.

Here, Radius of the circle(r)= 3 ft

Area = 3.14*3*3

        = 28.26 ft sq.= 28 ft sq(rounded to the nearest whole number)

2) The triangle has the base= 10 feet and height= 6 feet

The Area of the triangle= 1/2(b)(h)

where "b" is the base and "h" is the height of the triangle.

Substitute b=10 and h=6 ,

Area of triangle= 1/2(10 ft)(6 ft)= 60/2= 30 feet sq.

5 0
3 years ago
If As income is 20% more than Bs income, how much percent is Bs income less than As income
vitfil [10]
As\ is\ 120\%\ Bs\\\\120\%=1.2\to\frac{As}{Bs}=1.2\\\\\frac{As}{Bs}=\frac{12}{10}\to\frac{Bs}{As}=\frac{10}{12}\to\frac{Bs}{As}=\frac{5}{6}\\\\\frac{5}{6}\cdot100\%=\frac{500}{6}\%=83\frac{1}{3}\%\\\\100\%-83\frac{1}{3}\%=16\frac{2}{3}\%\\\\Answer:Bs\ income\ is\ 16\frac{2}{3}\%\ less\ than\ As\ income.
6 0
3 years ago
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