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elena-s [515]
3 years ago
6

(Distribute , then simplify the remaining expression. Final answer must be in standard form) Please help !!

Mathematics
1 answer:
Sergeu [11.5K]3 years ago
8 0
Problem 22
4x^2(2x^2+x-5) - x(x^3+5x^2-3) + 17
4x^2(2x^2)+4x^2(x)+4x^2(-5) - x(x^3)-x(5x^2)-x(-3) + 17
8x^4+4x^3-20x^2 - x^4-5x^3+3x + 17
7x^4-x^3-20x^2+3x + 17

So the final simplified answer to problem 22 is
7x^4-x^3-20x^2+3x + 17

--------------------------------

Problem 23
-2x(x^3-6x^2+6)+4x^3-(5x^4+10x)
-2x(x^3)-2x(-6x^2)-2x(6)+4x^3-(5x^4)-(10x)
-2x^4+12x^3-12x+4x^3-5x^4-10x
-7x^4+16x^3-22x

So problem 23 simplifies to
-7x^4+16x^3-22x

---------------------------------------------------------

Problem 24
4b[2a^2-5(3ab-2b^2)]+29ab^2
4b[2a^2-5(3ab)-5(-2b^2)]+29ab^2
4b[2a^2-15ab+10b^2]+29ab^2
4b[2a^2]+4b[-15ab]+4b[10b^2]+29ab^2
8a^2b-60ab^2+40b^3+29ab^2
8a^2b-31ab^2+40b^3

So problem 24 simplifies to 
8a^2b-31ab^2+40b^3

-------------------------------------------------

Problem 25
2y(6x-4x^2y)+13x^2y^2-6
2y(6x)+2y(-4x^2y)+13x^2y^2-6
12xy-8x^2y^2+13x^2y^2-6
12xy+5x^2y^2-6

The final answer for problem 25 is
12xy+5x^2y^2-6
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A circle is placed in a square with a side length of 10 mm, as shown below. Find the area of the shaded region.
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Answer:

21.5

Step-by-step explanation:

7 0
3 years ago
Linear Functions!<br> Step by step Solution for 4(x+2)-1/2x=22 equation <br> Thankss❤️
Elena L [17]
4(x + 2) - 1/2x = 22
4x + 8 - 1/2x = 22
3.5x + 8 = 22
         -8     -8
3.5x = 14
/ 3.5    /3.5
x = 4
6 0
3 years ago
Read 2 more answers
4x+6+ 3=-8<br> 2<br> What is x? <br> 4x+6 &lt;&lt;&lt;&lt;<br> 2 &lt;&lt;&lt; It’s a fraction
Andreas93 [3]

Answer:

-17/4

Step-by-step explanation:

4x+6+3=-8

4x+9=-8

-9 -9

4x=-17

÷4 ÷4

X=-17⁄4

6 0
2 years ago
The area of the entire rectangle to the right is x(x+4). Find another expression for this area by finding the sum of the areas o
Ainat [17]

Answer:

x² + 4x

Step-by-step explanation:

Divide the rectangle into a square with sides 'x' and a rectangle with sides 'x' and '4'

(x)(x) + (4)(x)

x² + 4x

3 0
2 years ago
Do male and female servers work the same number of hours? A sample of 25 female servers worked an average of 26 hours per week,
Vera_Pavlovna [14]

Answer:

Step-by-step explanation:

Given that

Group   Group One     Group Two  

Mean       26.00 23.00

SD                 2.00 4.00

SEM         0.40 1.21

N                     25     11    

where group I represents female servers and group II male servers.

We have to calculate confidence interval for 90% for difference in means

The mean of Group One minus Group Two equals 3.00

df = 34  

 standard error of difference = 0.993

t critical = 2.034 for 90% df 34

Hence confid. interval at 90%

=Mean diff ±2.034 * std error of diff

= (0.98, 5.02)

5 0
2 years ago
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