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3 years ago

Simplify : (√ + √ ) (√ − √) ( + )( 2 + 2 )

1 answer:

6 0

$(\sqrt{x}+\sqrt{y})(\sqrt{x}-\sqrt{y})(x+y)(x^2+y^2)\\\\=[(\sqrt{x})^2-(\sqrt{y})^2](x+y)(x^2+y^2)\\\\=(x-y)(x+y)(x^2+y^2)\\\\=(x^2-y^2)(x^2+y^2)\\\\=(x^2)^2-(y^2)^2\\\\=x^4-y^4$

$Used:\\\\(\sqrt{a})^2=a\\\\(a-b)(a+b)=a^2-b^2\\\\(a^n)^m=a^{nm}$

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P= 14413.49 R= 0.0015 T= 36 What is I= Prt

tamaranim1 [39]

Answer: I = 778. 33

Step-by-step explanation:

P= 14413.49

R= 0.0015

T= 36

The formula for calculating interest is given as :

I = PRT

substituting the given values , we have :

I = 14413.49 x 0.0015 x 36

I = 778.32846

I = 778. 33

6 0

3 years ago

Rewrite the quadratic function in vertex form. Y=3x^2-12x+4

chubhunter [2.5K]

Answer:

$\large\boxed{y=3(x-2)^2-8}$

Step-by-step explanation:

The vertex form of an equation of a parabola y = ax² + bx + c:

$f(x)=a(x-h)^2+k$

(h, k) - vertex

$h=\dfrac{-b}{2a},\ k=f(h)$

We have the equation:

$y=3x^2-12x+4\\\\a=3,\ b=-12,\ c=4$

Substitute:

$h=\dfrac{-(-12)}{2(3)}=\dfrac{12}{6}=2\\\\k=f(2)=3(2^2)-12(2)+4=3(4)-24+4=12-24+4=-8$

Finally:

$y=3(x-2)^2+(-8)=3(x-2)^2-8$

4 0

3 years ago

Someone pls do these 3 for me, its due in 20 minutes and my head hurts so bad right now :(

Drupady [299]

Answer:

1. Chloe has more money.

2. Dylan does not have enough money to buy 3 bags of candy.

3. Mikayla could get 4 pennies, 2 nickels, 2 dimes, and 2 quarters back in change.

Step-by-step explanation:

Penny = 1 cent

Nickel = 5 cents

Dime = 10 cents

Quarter = 25 cents

1. Chloe has 2 quarters(50 cents) and 3 dimes(30 cents). 50 + 30 = 80 cents

Haru has 5 nickels(25 cents) and 4 dimes(40 cents). 25 + 40 = 65 cents

2. If each bag costs $350(oddly enough). Dylan would need $1,050 to buy 3 bags of candy. Instead he only has $10. This means he would need $1,040 more dollars.

3. $5 - 4.16 = 84 cents in return

quarter(25) + quarter(25) + dime(10) + dime(10) + nickel(5) + nickel(5) + penny(1) + penny(1) + penny(1) + penny(1) = 84 cents

3 0

3 years ago

If four times the sum of a number and 3 is divided by 2, the quotient is 0: find the number

AveGali [126]

The other number is -3.

Step-by-step explanation:

Step 1; First we develop formulae for the given information. A number is added with 3 and the resulting sum is multiplied by 4. This number is then divided by 2 and the quotient is 0. Assume the unknown number is x, then the given information is as follows

The quotient of $\frac{4(x+3)}{2}$ is 0. So $\frac{4(x+3)}{2}$ = 0.

Step 2; Now we solve the above equation. The denominator is taken to the RHS and the RHS remains zero.

$\frac{4(x+3)}{2}$ = 0, 4(x+3)= 0, 4x+ 12 = 0, 4x = -12, x = $\frac{-12}{4}$ = -3.

So the other number is -3.

3 0

3 years ago

16. What is the area of the shaded region in terms of Tr? [20 points]

tangare [24]

Area of the circle outside
= πr2
= π(5)2
=25 π

Area of the bigger circle inside
= π x(3)2
= 9 π
Area of the smaller circle inside
= π x (2)2
= 4 π

Area of shaded region
= 25π - 9π - 4π
= 12π square unit

6 0

2 years ago