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3 years ago

Compute: 3 + [1 − 2(3 − 5)]

Mathematics

2 answers:

Lelechka [254]3 years ago

4 0

From what I did I got 0 but I could be wrong

stira [4]3 years ago

4 0

Alright always do PEMDAS (parenthesis, exponents, multiplication and division, and addition and subtraction)!

So do what's in the parenthesis first! So 3+[1-2(-2)]

Now the brackets are kinda like another pair of parenthesis, just the second round. So do that next. 3+(-3)

Now just add/subtract to get your answer, 0!

Hope that helps!

-mathwizzard3

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Help me asap! I will give you marks

Law Incorporation [45]

Recall the binomial theorem.

$(a+b)^n = \displaystyle \sum_{k=0}^n \binom nk a^{n-k} b^k$

1. The binomial expansion of $\left(1+\frac x3\right)^7$ is

$\left(1 + \dfrac x3\right)^7 = \displaystyle\sum_{k=0}^7 \binom 7k 1^{7-k} \left(\frac x3\right)^k = \sum_{k=0}^7 \binom 7k \frac{x^k}{3^k}$

Observe that

$k = 1 \implies \dbinom 71 \left(\dfrac x3\right)^1 = \dfrac73 x$

$k = 2 \implies \dbinom 72 \left(\dfrac x3\right)^2 = \dfrac73 x^2$

When we multiply these by $8-9x$ ,

• $8$ and $\frac73 x^2$ combine to make $\frac{56}3 x^2$

• $-9x$ and $\frac73 x$ combine to make $-\frac{63}3 x^2 = -21x^2$

and the sum of these terms is

$\dfrac{56}3 x^2 - 21x^2 = \boxed{-\dfrac73 x^2}$

2. The binomial expansion is

$\left(2a - \dfrac b2\right)^8 = \displaystyle \sum_{k=0}^8 \binom 8k (2a)^{8-k} \left(-\frac b2\right)^k = \sum_{k=0}^8 \binom 8k 2^{8-2k} a^{8-k} b^k$

We get the $a^6b^2$ term when $k=2$ :

$k=2 \implies \dbinom 82 2^{8-2\cdot2} a^{8-2} b^2 = 28 \cdot2^4 a^6 b^2 = \boxed{448} \, a^6b^2$

6 0

1 year ago

How to graph -3x+y=3

nalin [4]

For this question I would put the problem into slope-intercept form or y=mx+b. So add 3x to both sides so that the equation becomes y=3x+3 Then this equation is easier to graph. the y-intercept is 3 so there is a point at (0,3). and the slope is 3 so you would go over 1 up 3. Then connect those points and you have finished the graph. Hope this helps.

5 0

3 years ago

Answer the question above.

Shtirlitz [24]

Please upload the question and i will work it out, have a lovely day!

8 0

3 years ago

What is the square root of 36 squared

Grace [21]

36;
the square root and the square cancel out, or you can work it out and say
((36)^1/2)^2 = (6)^2= 36

4 0

3 years ago