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3 years ago

11

Paula bought 2/3 of a kilogram of clay for the students in her pottery class. She then divided the clay evenly into pieces that

were 1/3 of a kilogram. Into how many pieces did Paula divide the clay?

1 answer:

Arada [10]3 years ago

5 0

Answer:

2 pieces

Step-by-step explanation:

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Multiply the polynomials (5x^2+4x-4)(4x^3-2x+6)<br> Explain your steps!!

Lapatulllka [165]

So distribute using distributive property
a(b+c)=ab+ac so

split it up
(5x^2+4x-4)(4x^3-2x+6)=(5x^2)(4x^3-2x+6)+(4x)(4x^3-2x+6)+(-4)(4x^3-2x+6)=[(5x^2)(4x^3)+(5x^2)(-2x)+(5x^2)(6)]+[(4x)(4x^3)+(4x)(-2x)+(4x)(6)]+[(-4)(4x^3)+(-4)(-2x)+(-4)(6)]=(20x^5)+(-10x^3)+(30x^2)+(16x^4)+(-8x^2)+(24x)+(-16x^3)+(8x)+(-24)
group like terms
[20x^5]+[16x^4]+[-10x^3-16x^3]+[30x^2-8x^2]+[24x+8x]+[-24]=20x^5+16x^4-26x^3+22x^2+32x-24

the asnwer is 20x^5+16x^4-26x^3+22x^2+32x-24

4 0

3 years ago

The average value of the function y = x² – 1 on [0, 12] is

shusha [124]

Answer:

47.

Step-by-step explanation:

1) the rule:

$f_{avr}=\frac{1}{b-a} \int\limits^b_a {f(x)} \, dx ,$

where a;b are 0 and 12, f(x)=x²-1.

2) according to the rule above:

$f_{avr}=\frac{1}{12-0} \int\limits^{12}_0 {(x^2-1)} \, dx=\frac{1}{12}(\frac{x^3}{3}-x)|^{12}_0=48-1=47.$

3 0

2 years ago

6x+3(4x-2)=5(2x-8) the answer is -17/4 but can someone explain how to get that answer? plz help lol

Sergeu [11.5K]

Answer:

<h2> $x = - \frac{17}{4}$ </h2>

Step-by-step explanation:

$6x + 3(4x - 2) = 5(2x - 8)$

Expand the terms in the bracket and simplify

That's

$6x + 12x - 6 = 10x - 40 \\ 18x - 6 = 10x - 40$

Using the subtraction property subtract 10x from both sides of the equation

$18x - 10x - 6 = 10x - 10x - 40 \\ 8x - 6 = - 40$

<u>Add 6 to both sides of the equation</u>

$8x + 6 - 6 = - 40 + 6 \\ 8x = - 34$

<u>Divide both sides by 8</u>

$\frac{8x}{8} = - \frac{34}{8}$

<u>Reduce the fraction with 2</u>

We have the final answer as

$x = - \frac{17}{4}$

Hope this helps you

7 0

3 years ago

Write an equation of the line passing through the point A(8, 2) that is perpendicular to the line y = 4x−7.

Kay [80]

Answer:

y = - 1/4 + 4

Step-by-step explanation:

y = 4x - 7

Slope = 4

Slope of the perpendicular line = -1/4

Point (8,2)

(b) y-intercept: 2 - (-1/4)(8)

= 2 + 2 = 4

4 0

3 years ago

I need help please.

forsale [732]

Its letter D
7(19)-21 (x=19)
133-21=112 (RZ)
112+112=224 (RT)

4 0

3 years ago

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