All categories

1 year ago

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

Solve this system of equations by graphing. First graph the equations, and then type the solution.

stealth61 [152]

Answer:

The solution is the point (1,-4)

Step-by-step explanation:

we have

$y=-3x-1$ ----> equation A

$y=-2x-2$ ----> equation B

we know that

The solution of the system of equations by graphing is the intersection point both graphs

using a graphing tool

The intersection point is (1,-4)

see the attached figure

therefore

The solution is the point (1,-4)

5 0

3 years ago

3 Which expression is equivalent to<br> 19 - 27?

Elanso [62]

Answer: 19 + (-27)

Step-by-step explanation:

4 0

3 years ago

Read 2 more answers

Need answer asap.thanks

Marrrta [24]

Answer:

$0.46=\frac{23}{50}$

Step-by-step explanation:

To write any decimal as a fraction you divide by 1 and multiply by a number (ranging from 10, 100, 1000 etc.) that will make 0.46 a whole number, this will explain:

Let x = $\frac{0.46}{1}$

10x = $10*\frac{0.46}{1} =\frac{4.6}{10}$

100x = $100*\frac{0.46}{1}=\frac{46}{100}$ this is our perfect fraction, now we simplify later

100x - 10x = $\frac{46}{100} -\frac{4.6}{10}$

90x = $\frac{46}{100} -\frac{4.6}{10} =0$ this is to confirm both fractions are equal

x is the same as $\frac{0.46}{1}$ as $\frac{4.6}{10}$ as $\frac{46}{100}$ but here x = $\frac{46}{100}$ because a fraction has to have no decimals.

So 0.46 is equal any of these values, as a fraction, on the other hand, it's improperly equal to $\frac{46}{100} = \frac{23}{50}$ here I divided by 2 to bring down the proper fraction. (fraction at its simplest form)

6 0

3 years ago

According to the graph, what is the experimental probability of selecting the letter E?

Daniel [21]

The experimental probability of letter E is: 3/25

Step-by-step explanation:

The given diagram is the number of outcomes for each letter is given

We have to find the total number of outcomes for finding the experimental probability of letter E

So,

Total outcomes = n(S) = 5+12+8+10+6+9 = 50

Number of outcomes for Letter E = n(E) = 6

So the experimental probability will be:

$P(E) = \frac{n(E)}{n(S)}\\\\=\frac{6}{50}\\\\= \frac{3}{25}$

Hence,

The experimental probability of letter E is: 3/25

Keywords: Probability, experimental probability

Learn more about probability at:

#LearnwithBrainly

7 0

3 years ago

5/8 9/x the figures are similar find x

Drupady [299]

5/8 9/x

Cross multiply

9x8=72
5×x=5x

Rewrite the equation

72 = 5x

Divide by 5

72÷5=14.4

So, x=14.4

8 0

3 years ago