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Vanyuwa [196]
2 years ago
13

MATH PROPORTIONAL QUESTION PLEASE HELP ITS FOR A TEST :(

Mathematics
2 answers:
Eva8 [605]2 years ago
7 0

Answer:

b money in maggies acc

Step-by-step explanation:

shtirl [24]2 years ago
7 0
It is the money in Maggie account
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Simplify the expression state any excluded values<br> 2a^2-4a+2<br> ---------------<br> 3a^2-3
chubhunter [2.5K]

Answer:

The simplified form is \dfrac{2(x-1)}{3(x+1)}.

x =1 is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

\dfrac{2a^2-4a+2}{3a^2-3}

Let us simplify the numerator and denominator separately.

The numerator is given as 2a^2-4a+2

2 is a common factor in all the three terms. So, we factor it out. This gives,

=2(a^2-2a+1)

Now, a^2-2a+1=(a-1)(a-1)

Therefore, the numerator becomes 2(a-1)(a-1)

The denominator is given as: 3a^2-3

Factoring out 3, we get

3(a^2-1)

Now, a^2-1 is of the form a^2-b^2=(a-b)(a+b)

So, a^2-1=(a-1)(a+1)

Therefore, the denominator becomes 3(a-1)(a+1)

Now, the given expression is simplified to:

\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}

There is (x-1) in the numerator and denominator. We can cancel them only if x\ne1 as for x=1, the given expression is undefined.

Now, cancelling the like terms considering x\ne1, we get:

\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}

Therefore, the simplified form is \dfrac{2(x-1)}{3(x+1)}

The simplification is true only if  x\ne1. So, x =1 is the excluded value for the given expression.

8 0
3 years ago
Why is it necessary to check that n modifyingabove p with caret greater than or equals 5np≥5 and n modifyingabove q with caret g
Nookie1986 [14]

Both of these conditions must be true in order for the assumption that the binomial distribution is approximately normal. In other words, if np \ge 5 and nq \ge 5 then we can use a normal distribution to get a good estimate of the binomial distribution. If either np or nq is smaller than 5, then a normal distribution wouldn't be a good model to use.

side note: q = 1-p is the complement of probability p

4 0
3 years ago
Y = 2x - 3<br> x + 2y = 4
uranmaximum [27]

Answer:

x=2 , y = 1

Step-by-step explanation:

x + 2(2x-3) = 4

x+4x-6=4

5x-6=4

5x= 10

x=10/5

x=2

subs x=2 into x +2y=4

2+2y=4

2y=2

y=2/2

y=1

6 0
3 years ago
Read 2 more answers
Which of the following is a solution of x^2 - 2x = -8?
Zina [86]
X^2-2x=-8  add 1 to both sides

x^2-2x+1=-7  now the left side is a perfect square

(x-1)^2=-7  take the square root of both sides

x-1=±√-7  add 1 to both sides

x=1±√-7 which is

x=1±i√7  so

x=1+i√7 and 1-i√7
6 0
2 years ago
Lisa is standing on a dock beside a lake. She drops a rock from her hand into the lake. After the rock hits the surface of the l
Lemur [1.5K]

Answer:

  • 5 ft 8 in or 68 in

Step-by-step explanation:

<u>In 4 seconds the rock will be at:</u>

  • 2*4 = 8 in from the surface

<u>Add 5 feet to this to get the required distance:</u>

  • 5 ft + 8 in = 5*12 in + 8 in = 68 in
7 0
2 years ago
Read 2 more answers
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