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iVinArrow [24]
3 years ago
15

Brainiest to first answer Simplify the expression (4xy^2)^4(-y)^-3

Mathematics
1 answer:
alisha [4.7K]3 years ago
8 0
4 to the fourth is 256. x to the fourth is x^4. t squared to the fourth is y^8. - t to the third is - y^- 3. So out negative sign out front and use the law of exponents to the 8 and -3 y exponents and the answer is (-256x^4)*(y^5)
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Find the line y=a+bx which best approximates the data points
Vika [28.1K]

Answer:

y = 11.84x - 32.71

Step-by-step explanation:

Here, the given data points,

(−3,−70),(−1,−42),(1,−21),(2,−9),(4,14),

Let x represents the input value and y represents the output value,

So, the table that represents the given situation is,

x         -3            -1             1             2             4

y       -70          -42         -21         -9             14

By the above table,

\sum x=3

\sum y=-128

\sum xy = 269

\sum x^2=31

\sum y^2 = 7382

Let the equation of the line is,

y = bx + a

Where,

a=\frac{\sum y \sum x^2 - \sum x\sum xy}{n(\sum x^2)-(sum x)^2}

b=\frac{n\sum xy - \sum x \sumy}{n(\sum x^2)-(\sum x)^2}

n = number of data points = 5,

By substituting the values we get,

a = - 32.70547945 ≈ - 32.71,

b = 11.84246575 ≈ 11.84,

Hence, the equation of line would be,

y = 11.84x - 32.71

8 0
2 years ago
Solve for x: 3 − (2x − 5) < −4(x + 2) (1 point)
mixas84 [53]

Answer: x<-8

Step-by-step explanation:

4 0
3 years ago
Find the slope between the points (3,2) and (4,1) *
Tpy6a [65]

Answer:

-1/1 or -1

Step-by-step explanation:

subtract y: 3-4= -1

subtract x: 2-1=1

answer: -1/1

3 0
2 years ago
Someone please help!!
steposvetlana [31]

Answer:

y-6 = -7x + 21

Step-by-step explanation:

Find the slope

(-8 - 6)/(5-3)

-14/2 = -7

Now find the formula

y-6=-7(x - 3)

y-6 = -7x + 21

Another way to write it is

y= -7x + 27

6 0
3 years ago
The sale price of last year’s hottest game is 45% off the retail price. The game sold last year for $92.00. What is the sale pri
irina [24]

Answer: D $133.40

Step-by-step explanation:

SP $92.00

Discount = 45%

Sale price = 92 x 1.45 = 133.40

5 0
3 years ago
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