What is 27 minus 3.204 minus 10.8

Answers

Answer 1
Answer:    27
- 3.204
  10.8
----------

12.996 ?

Answer 2
Answer: multiply all by 1,000 to get rid of decimals then add move decimal three places left = 12.996 or

  27.000
-   3.204
=23.796
-10.8
=12.996

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I need help solving x^2+3xy-y^2=12 and x^2-y^2=-12

Answers

substitute:x^2-y^2=-12\ to\ x^2+3xy-y^2=12\n\n3xy-12=12\n3xy=12+12\n3xy=24\ \ \ \ \ /:3\nxy=8\to x=(8)/(y)\n\nsubstitute\ to\ x^2-y^2=-12\n\n\left((8)/(y)\right)^2-y^2=-12\n\n(64)/(y^2)=y^2-12

(64)/(y^2)=(y^2-12)/(1)\n\ny^2(y^2-12)=64\n\ny^4-12y^2-64=0\n\nsubstitute:y^2=t > 0\n\nt^2-12t-64=0

a=1;\ b=-12;\ c=-64\n\Delta=b^2-4ac\to\Delta=(-12)^2-4\cdot1\cdot(-64)=144+256=400\n\nt_1=(-b-\sqrt\Delta)/(2a);\ t_2=(-b+\sqrt\Delta)/(2a)\n\n\sqrt\Delta=√(400)=20\n\nt_1=(12-20)/(2\cdot1)=(-8)/(2)=-4 < 0;\ t_2=(12+20)/(2\cdot1)=(32)/(2)=16\n\ny^2=16\Rightarrow y=\pm√(16)\Rightarrow y=-4\ or\ y=4\n\nx=(8)/(-4)=-2\ or\ x=(8)/(4)=2\n\nSolution:x=-2\ and\ y=-4\ or\ x=2\ and\ y=4

10 to power 7 decimal ​

Answers

Answer:

10 mil

Step-by-step explanation: 10x10x10x10x10x10x10= 10,000,000

If the number is expressed in words, first write it down as an ordinary decimal number and then convert. Thus, "ten million" becomes 10,000,000. There are seven zeros, so in powers of ten notation ten million is written 10^7

Could anyone please help me with this for Calculus AB? I'm not entirely sure if the answer I put down is correct or not; I got some funky graphs for it though.

Answers

Hi there! :)

C. has both jump and infinite discontinuity.

Evaluate both piecewise functions at x = 1;

1 / (x + 1) = 1 / ((1) + 1) = 1/2

2x - 1 = 2(1) - 1 = 1

As the piecewise functions contain different y-values when evaluated at

x = 1,  there is a jump discontinuity at x = 1.

However, the first function also contains a vertical asymptote or infinite discontinuity where it is undefined, or at x = -1. (1 / 0 = undefined). This means that the function also contains an infinite discontinuity.

Therefore, the correct choice is:

C. has both jump and infinite discontinuity.

Explain 7.32×3.95=
....​

Answers

Answer:

28.914

Step-by-step explanation:

Solving exponential equations
Solve for x: 3^x+1 +3^x =324

Answers

3^(x+1)+3^x=324\n\n3\cdot3^x+3^x=324\n\n3^x\cdot(3+1)=324\n\n4\cdot3^x=324\ \ \ /:4\n\n3^x=81\n\n3^x=3^4\iff x=4
3^(x+1) + 3^x = 324 <=> (3^x)*3 + 3^x = 324 <=> (3^x)( 3 + 1) = 324 <=> (3^x)*4 = 324 <=> 3^x = 81 <=> 3^x = 3^4 <=> x = 4.

A circle has its center at (-1, 2) and a radius of 3 units. What is the equation of the circle?(x - 1)2 + (y + 2)2 = 3

(x + 1)2 + (y - 2)2 = 3

(x + 1)2 + (y + 2)2 = 9

(x + 1)2 + (y - 2)2 = 9

Answers

Answer:

(x+1)^2+(y-2)^2=9

last option is correct.

Step-by-step explanation:

We have been given that

Center: (-1,2)

Radius :  3 units

We know that the standard form of the circle is given by

(x-h)^2+(y-k)^2=r^2

Here, h = -2, k = 2, and r=3

Substituting these values in the above formula, we get

(x+1)^2+(y-2)^2=3^2\n\n(x+1)^2+(y-2)^2=9

Therefore, last option is correct.

Hello,

Answer D

(x+1)²+(y-2)²=9