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saw5 [17]
3 years ago
5

2x-3x^3+8 in standard form

Mathematics
1 answer:
larisa [96]3 years ago
8 0
3x³ -2x - 8 = 0


......,...........,
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Combine and Simplify:<br> 48 (1/4x - 1/3y - 2/6x - 3/8y - 2/3<br> WRITE 2 WAYS!
Bezzdna [24]

Answer:

Combining and simplifying 48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3}) we get  \mathbf{-4x-34y-32} or we can write as \mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}

Step-by-step explanation:

We need to combine and simplify

48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3})

First we will combine like terms and then perform the mathematical operations like addition or subtraction.

<u>Like terms</u>: terms having same variable

48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})

Now we take LCM of like terms

=48(\frac{1}{4}x-\frac{2}{6}x-\frac{1}{3}y-\frac{3}{8}y-\frac{2}{3})\\=48(\frac{x*3-2x*2}{12} +\frac{-y*8-3y*3}{24}- \frac{2}{3})\\=48(\frac{3x-4x}{12} +\frac{-8y-9y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} +\frac{-17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})

Now, we can multiply 48 with terms inside the bracket.

we can simplify the terms if they are both divisible by same number.

=48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})\\=48(\frac{-x}{12} )-48(\frac{17y}{24})-48(\frac{2}{3}))\\=-4x-34y-32

So, Combining and simplifying 48(\frac{1}{4}x-\frac{1}{3}y-\frac{2}{6}x-\frac{3}{8}y-\frac{2}{3}) we get  \mathbf{-4x-34y-32} or we can write as \mathbf{48(\frac{-x}{12} -\frac{17y}{24}- \frac{2}{3})}

6 0
3 years ago
If 89 babies are sampled at random from the hospital, what is the probability that the mean weight of the sample babies would di
cricket20 [7]

Answer:

0.6836

Step-by-step explanation:

(weight - mean weight) = 48

Variance, s² = 204,304

Sample size, n = 89

We need to obtain the Zscore :

Zscore = (X - mean) / standard Error

Zscore = (weight - mean weight ) / (s/√n)

s = √204304 = 452

The difference from the meanncoukdnbe either to the right or left :

Zscore = - 48 / (452/√89) OR 48 / (452/√89)

Zscore = - 48 / 47.911904 OR - 48 / 47.911904

Zscore = - 1.002 or 1.002

P(Z < - 1.002) = 0.1582 (using Z table)

P(Z < 1.002) = 0.8418

P(Z < 1.002) - P(Z < - 1.002)

0.8418 - 0.1582

= 0.6836

6 0
3 years ago
In rectangle ABCD, point E lies halfway between sides AB and CD and halfway between sides AD and BC. If AB=6 and BC=9, what is t
zloy xaker [14]

Answer:

Height=9/2=4.5

A=1/2*b*h

A=1/2*6*4.5

A=13.5

13.5*2=27

The area of the shaded region is 27.

4 0
3 years ago
Show that x+1 is a factor of f(x)=2x^4-x^3-35x^2+16x+48 . Then factor f(x) completely
Bond [772]

Answer:

callate

Step-by-step explanation:

<h2><u>:)))))))))))</u></h2>
4 0
3 years ago
ASAP<br><br> What is the value of x?
Savatey [412]
3x-52=2x+2 (v.o.a)
3x-2x=2+52
x=54
6 0
3 years ago
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