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anyanavicka [17]
3 years ago
7

Which of the following statements follows from (x - 3)^2 = 5?

Mathematics
2 answers:
coldgirl [10]3 years ago
7 0
X^2-6x+9=5
(x-3)(x-3)=5
(x-3)=5
x
coldgirl [10]3 years ago
6 0
Expand the equation by multiplying it with itself: (x-3)*(x-3)

x^2 - 3x - 3x + 9 = 5
x^2 - 6x + 9 = 5
x^2 -6x +4 = 0

Since this is not part of the choices, try a different approach. Take the square root of both sides:

x - 3 = square root of 5
x - 3 = +/- 2.24

I guess this is the middle term which is incomplete. The first and last choices are not equivalent to the given equation.
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Using complete sentences, write an indirect proof proving that if x=30, then 3/4x+5≠20 (3/4 being three over four)
WARRIOR [948]
<span>hypothesis :-
 if x=30, then 3/4x+5≠20
 let Q:- x=30 P:- 3/4x+5≠20
 we need to prove if Q then P (Q →P)
 
proof :-
lets assume 34x+5=20 is true
now x=30
 so
  3/4(30)+5=27.5 ≠20
which is a contradiction
   
proved ^</span>
8 0
3 years ago
Please help... I really need this.
valentinak56 [21]

Answer:

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

Step-by-step explanation:

The division problem given to us is (4x^3-3x^2+5x+6)\div (x+6).

To perform the synthetic division, we write out the coefficient of the polynomial. We set the linear factor to zero and solve for x, this becomes our divisor. That is x+6=0\implies x=-6.

We carry out the synthetic division as shown in the attachment.

The result of the synthetic division is 4   -27   167   -996

The first three terms are the coefficients of the quotient and the last term is the remainder.

Therefore the quotient is q(x)=4x^2-27x+167 and the remainder is r(x)=-996.

The dividend, the quotient and the divisor are written as

\frac{4x^3-3x^2+5x+6}{x+6}=4x^2-27x+167-\frac{996}{x+6}

The correct answer is A

3 0
3 years ago
The graph shows the total mass loss of the Greenland ice sheet since 2007. Write a conjecture using the graph.​
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The conjecture or hypothesis given based on the attached graph is that there has been a general increase in the total loss of the Greenland Ice Sheet since 2007. However, since 2013, the rate at which the total loss increased began to decline.

<h3>What is  a conjecture in math?</h3>

In mathematics, a hypothesis or a conjecture is a speculative conclusion or assertion that is stated without evidence.

<h3>How do you write a Conjecture ?</h3>

You must discover a trend or make some type of remark. For example, you may have observed that the list is increasing by twos.

You draw a conclusion based on the pattern you saw, just as you did when you determined that 18 would be the following number.

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