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sveticcg [70]
1 year ago
9

Please help me solve this with multiplication. Thankl you!

Mathematics
1 answer:
sergij07 [2.7K]1 year ago
8 0

Answer:

  1/6x² -1/6x -1/8

Step-by-step explanation:

The distributive property applies. Fractions are multiplied and added in the usual way.

<h3>Product of binomials</h3>

The distributive property is used to eliminate parentheses. It can be convenient to write the fractions with a common denominator, then simplify the final product.

  \left(\dfrac{1}{2}x+\dfrac{1}{4}\right)\left(\dfrac{1}{3}x-\dfrac{1}{2}\right)=\dfrac{2x+1}{4}\cdot\dfrac{2x-3}{6}=\dfrac{1}{24}((2x)(2x-3)+1(2x-3))\\\\=\dfrac{1}{24}(4x^2-6x+2x-3)=\boxed{\dfrac{1}{6}x^2-\dfrac{1}{6}x-\dfrac{1}{8}}

You might be interested in
Use intercepts to graph the linear equation 4x +6y=12
Ratling [72]
X intercept: when Y = 0
Y intercept: when X = 0
Plug into equation
4x + 6(0) = 12
4x = 12, x = 3
Therefore x int = (3,0)
4(0) + 6y = 12
6y = 12, y = 2
Therefore y int = (0,2)
Plug those points then draw a line through them

7 0
3 years ago
What is the meaning of point (7.5, 12)?
zavuch27 [327]
It is in form (x,y) (ususally)
7.5 and 12
there is something called a coordinate system where a line called the y axis runs vertically for infinity and a line perpendicular to it, crosses it. the other line is called the x axis which also extends for infinity
the point where they cross is point (0,0) or the origin
basically the numbers tell you how far you are from the axises
on the y axis, + numbers are up and - numbers are down
on the x axis, + numbers are to the right and - numbers are to the left


7.5=x and 12=y
+7.5 is positive
7.5 means that the point is 7.5 units to the right of the origin in relation to the x axis

12 is positive
12 means that the point is 12 units up from the origin in relation to the y axis

hope this helped. feel free to ask if its too confusing
6 0
4 years ago
Find the y-intercept of the line. If needed use "/" for a fraction. b= <br><br>y=10+4x​
11111nata11111 [884]

Y-intercept(b)= 10

equation wasnt written in the correct order so b is 10

7 0
1 year ago
PLEASE HELP MEE
KATRIN_1 [288]

Answer:

I'm only going to find the value of each variable

Step-by-step explanation:

V,Z,W,Y=39

X=94

Sorry, I didn't know how to explain the relevant angle relationships. '-' :(

8 0
3 years ago
Use synthetic division to solve (2x^34x^2-35x15)/(x-3). What is the quotient?
victus00 [196]
Answer: quotient is 2x^2 + 10x - 5

Solution:

The first polynomial is miswritten.

The right one is: 2x^3 + 4x^2 - 35x + 15.

So, the division is [2x^3 + 4x^2 - 35x + 15] / (x - 3)

The synthetic division uses the coeffcients and obviate the letters, but you have to be sure to respect the place of the coefficient.

So, in this case it is:

3 | 2      4    -35    15
   ---------------------------------
    2     10     - 5      0

So, the quotient is 2x^2 + 10x - 5, and the remainder is 0.

I like to show it in this other way:


   | 2     4     -35     15
   |
   |
3 |       +6    +30     -15
--------------------------------  
    2     10    - 5         0

Of course they are the same coefficients and the answer continue being quotien 2x^2 + 10x - 5, remainder 0.
4 0
3 years ago
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