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Mekhanik [1.2K]
3 years ago
7

Can anyone help me with this problem?

Mathematics
1 answer:
Harman [31]3 years ago
5 0
First one is correct choice
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Factor (x-1)^3 (4x-9) - (16x+9) (x+1)^2 ? Please explain steps, I'm stuck !
Lapatulllka [165]

(x-1)^3 (4x-9) - (16x+9) (x+1)^2

= (x^3-3x^2+3x-1) (4x-9) - (16x+9) (x^2+2x+1)

= (4x^4-12x^3+12x^2-4x-9x^3-27x^2-27x+9)-(16x^3+32x^2+16x+9x^2+18x+9)

= (4x^4-21x^3+39x^2-31x+9)-16x^3-32x^2-16x-9x^2-18x-9

= 4x^4-21x^3+39x^2-31x+9-16x^3-32x^2-16x-9x^2-18x-9

= 4x^4-37x^3-2x^2-65x

= x(4x^3-37x^2-2x-65)

hence final factor is x(4x^3-37x^2-2x-65)

5 0
3 years ago
Who failed to support civil rights for freed slaves? (wrong category by mistake, not mathematics)
dangina [55]

Answer:

The Supreme Court.

Step-by-step explanation:

After the end of the Civil War and the enactment of the Thirteenth Amendment in 1865, slavery was officially abolished in the United States. Thus, the millions of African American slaves that inhabited the southern states of the country won their freedom and equality before the law against whites.

Now this situation began to dismember in 1877, when federal troops left the southern states and Reconstruction officially came to an end. From then on, Democratic governors and legislators began to sanction the Black Codes and Jim Crow Laws, aimed at curtailing the civil and political rights of African-Americans.

This situation was tested before the Supreme Court in 1896 in the case Plessy v. Ferguson. But in the ruling of said case, the Supreme Court established that racial segregation was constitutional and therefore neglected African Americans and their rights.

8 0
4 years ago
A bedroom measures 15 ft by 14 ft with a closet that measures 4 ft by 8 ft. if carpet costs $4.25 per foot, how much will it cos
Anastasy [175]
First of all, I must assume that the correct cost for carpet is $4.25 per <em><u>square</u></em> foot.
It could be $4.25 per foot if it came of a standard roll, but then I would need to know the width of the roll, which you haven't given.

Area of the room = (15-ft x 14-ft) = 210 square feet

Area of the closet = (4-ft x 8-ft) = 32 square feet

Total area = (210 + 32) = 242 square feet.

Total cost of carpet = (242 x $4.25) = <u>$1,028.50</u> plus pad and installation.
=========================================
You know what ?  I think you may have mis-copied the price of carpet altogether.
At $4.25 per square foot, that's <em><u>awfully</u></em> expensive carpet.
I suspect the actual price is $4.25 per <em>square yard</em>.  That's pretty cheap, but 
it's a lot closer to reasonable than $4.25 per square foot is ($38.25 per yd² !) 

If it's $4.25 per square yard, then we need to know that 1 square yd = 9 square ft.

The total requirement is 242/9 = 26 and 8/9 square yard, so you'll buy 27 sq yds.

$4.25 x 27 = <u>$114.75</u> plus pad and installation.  That sounds cheap but better.
7 0
3 years ago
A small business had profits of $200, $300, $400, $500 and $500 over the 5 months. How much profit should the business make in t
iris [78.8K]

Answer:

$1400

Step-by-step explanation:

x= profit of 6th month

(200+300+400+500+500+x)

-------------------------------------- = 550

6

(1900+x)=3300

x=3300-1900

x=1400

7 0
2 years ago
Lily rolled a number cube labeled 1–6. she rolls the cube two times. what is the probability that lily will roll an odd number,
alexira [117]
The probability of the two independent events is the product of the individual probabilities.

The cube has 6 different numbers.
3 of the numbers are odd.
3 of the numbers are even.

p(odd) = 3/6 = 1/2
p(even) = 3/6 = 1/2

p(odd followed by even) = 1/2 * 1/2 = 1/4 = 0.25 = 25%
4 0
3 years ago
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