All categories

3 years ago

Simplify 1/3(9a+b)-1/2(4a+2b)

2 answers:

8 0

1/3(9a+b) - 1/2(4a+2b) = (1/3)(9a+b) - (1/2)(4a+2b)
= (1/3).9a + (1/3)b - [(1/2).4a + (1/2).2b]
= 3a + b/3 - 2a - b
= a + (1/3 - 1)b
= a - (2/3)b

d1i1m1o1n [39]3 years ago

6 0

1/3 x 9a then 1/3 x n plus -1/2 x 4a the -1/2 x 2b the add the two b's together then add the two a'S together the write _a + _b

You might be interested in

On Monday,it took Helen 3 hours to do a page of science homework exercises.The next day she did the same number of exercises in

Blababa [14]

Answer:

It's 3/2p!

Step-by-step explanation:

Because Helen do the same number of exercises on 2 days, the time to do and the average rate are inversely proportional!

So, if on Monday, Helen's average rate is p then on the next day, her average rate is:

p × 3 ÷ 2 = $\frac{3p}{2}$

=3/2p

Brainliest?

3 0

2 years ago

The roots of the function f(x) = x2 – 2x – 3 are shown. what is the missing number? x = –1 and x =

andrey2020 [161]

we have

$f(x)=x^{2}-2x-3$

Find the roots

Equate the function to zero

$x^{2}-2x-3=0$

Group terms that contain the same variable, and move the constant to the opposite side of the equation

$x^{2}-2x=3$

Complete the square. Remember to balance the equation by adding the same constants to each side.

$x^{2}-2x+1=3+1$

$x^{2}-2x+1=4$

Rewrite as perfect squares

$(x-1)^{2}=4$

Square root both sides

$(x-1)=(+/-)2$

$x=1(+/-)2$

$x=1+2=3$

$x=1-2=-1$

therefore

<u>the answer is</u>

$x=3$

5 0

2 years ago

Read 2 more answers

Which division expression is equivalent to 4 1/3 ÷ -5/6

Rzqust [24]

$4\dfrac{1}{3}\div\left(-\dfrac{5}{6}\right)\qquad(*)\\\\\text{Convert the mixed number to the improper fraction:}\\\\4\dfrac{1}{3}=\dfrac{4\cdot3+1}{3}=\dfrac{12+1}{3}=\dfrac{13}{3}\\\\(*)=\dfrac{13}{3}\div\left(-\dfrac{5}{6}\right)\\\\\text{By dividing by a fraction, we multiply by its reciprocal.}\\\\=\dfrac{13}{3}\cdot\left(-\dfrac{6}{5}\right)\qquad\text{simplify}\\\\=\dfrac{13}{3\!\!\!\!\diagup_1}\cdot\left(-\dfrac{6\!\!\!\!\diagup^2}{5}\right)=-\dfrac{13\cdot2}{1\cdot5}=-\dfrac{26}{5}=-\dfrac{25+1}{5}=-5\dfrac{1}{5}$