Factorise:a4+2a3b-2ab3-b4..

Answers

Answer 1

Answer: $a^4+2a^3b-2ab^3-b^4\n\n=a^4-b^4+2a^3b-2ab^3\n\n=(a^2-b^2)(a^2+b^2)+2ab(a^2-b^2)\n\n=(a^2-b^2)(a^2+b^2+2ab)\n\n=(a-b)(a+b)(a+b)^2\n\n=(a-b)(a+b)(a+b)(a+b)$

$(x+y)^2=x^2+2xy+y^2\n\nx^2-y^2=(x-y)(x+y)$

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If you grow 523 eggplants and sell 378, how many do you have left? A. 901 B. 154 C. 197 End of exam D. 145

Answers

Remaining eggplants= Total number of eggplants-sold eggplants
=523-378
=145 eggplants remaining

The answer to this is D

A semicircular flower bed has a diameter of 3 metres. What is the area of the flower bed?

Answers

The area of circle is

$A_{\text{circle}}=\pi r^2.$

Then the area of semicircular region is

$A_{\text{semicircular region}}=(1)/(2) \pi r^2.$

If r=3 m, you have

$A_{\text{semicircular region}}=(1)/(2) \pi \cdot 3^2=(9\pi)/(2)=4.5\pi \approx 14.13$ sq. m.

Answer: $A_{\text{semicircular region}}=4.5\pi \approx 14.13$ sq. m.

you would divide 3 by 2 than you would square 1.5 and multiply it by 3.14 7.065

The ocean club collects 24.93 kg of trash on the first weekend of the summer. The club collects 18.3 kg the next weekend. How much more trash is collected the first weekend?
Give your answer with the appropriate precision.
a. 6.7 kg
b. 6.65 kg
c. 6.63 kg
d. 6.6 kg

Answers

24.93 - 18.3 = 24.93 - 18.30 = 6.6

answer D

The tax rate as a percent, r, charged on an item can be determined using the formula 100( – 1) = r, where c is the final cost of the item and p is the price of the item before tax. Louise rewrites the equation to solve for the final cost of the item: c = p(1 + ). What is the final cost of a $40 item after an 8% tax is applied?

Answers

The question is asking us to calculate the final cost of the item after the tax is applied. The price of item before the tax is: P = $40 and the tax rate as a percent is 8%. It means that r = 0.08. And the formula is: C = P * ( 1 + r ). Finally: C = $40 * ( 1 + 0.08 ) = $40 * 1.08 = $43.20. Answer: The final cost is $43.20.

Using the point-slope formula, what is the equation of the line that passes through the points (1, 5) and (0, 0)?

Answers

Hello,

Slope= (0-5)/(0-1)=-5/(-1)=5

Equation is

y-5=5(x-1)
or
y=5x

John paid $32.16 for groceries this included the 7% sales tax what was the cost of groceries before the sales tax

Answers

The answer is $30.06.

John added 7% of tax to the price before tax which is 100%. So, the price John paid is 107%. If $32.16 is 107%, how many $ is 100% (the price before tax):
$32.16 : 107% = x : 100%

After crossing the products:
x · 107% = $32.16 · 100%
⇒ x = $32.16 · 100% ÷ 107% = $30.06

Therefore, the cost of groceries before the sales tax is $30.06.

Answer The answer would be $30.06

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