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Radda [10]
3 years ago
13

The sum of a and 46 is equal to k. Let k = 97. Which equation can be used to find the value of a? A. a + 46 = 97 B. a – 97 = 46

C. a = 97 + 46 D. a – 46 = 97
Mathematics
1 answer:
lawyer [7]3 years ago
8 0
Sum means to add, so you are adding a and 46 to get k.  k is given as 97 so your equation used to solve for a is a + 46 = 97, choice A from above.
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Two problems here I need solved! I need every step, so please have that with your answers!!
Free_Kalibri [48]
QUESTION 1

We want to solve,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-6x+8}

We factor the denominator of the fraction on the right hand side to get,

\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x^{2}-4x - 2x+8}.

This implies
\frac{1}{(x-4)}+\frac{x}{(x-2)}=\frac{2}{x(x-4) - 2(x - 4)}.

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

We multiply through by LCM of
(x-4)(x - 2)

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We expand to get,

x - 2 + {x}^{2} - 4x= 2

We group like terms and equate everything to zero,

{x}^{2} + x - 4x - 2 - 2 = 0

We split the middle term,

{x}^{2} + - 3x - 4 = 0

We factor to get,

{x}^{2} + x - 4x- 4 = 0

x(x + 1) - 4(x + 1) = 0

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x + 1 = 0 \: or \: x - 4 = 0

x = - 1 \: or \: x = 4

But
x = 4
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It is an extraneous solution.

\therefore \: x = - 1
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QUESTION 2

\sqrt{x+11} -x=-1

We add x to both sides,

\sqrt{x+11} =x-1

We square both sides,

x + 11 = (x - 1)^{2}

We expand to get,

x + 11 = {x}^{2} - 2x + 1

This implies,

{x}^{2} - 3x - 10 = 0

We solve this quadratic equation by factorization,

{x}^{2} - 5x + 2x - 10 = 0

x(x - 5) + 2(x - 5) = 0

(x + 2)(x - 5) = 0

x + 2 = 0 \: or \: x - 5 = 0

x = - 2 \: or \: x = 5

But
x = - 2
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\therefore \: x = 5
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3 years ago
What is the mode of the data set?
Liula [17]

Answer:

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Step-by-step explanation:

I hope this helped!

3 0
3 years ago
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Yanka [14]

Answer:

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Step-by-step explanation:

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6 0
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iris [78.8K]

Step-by-step explanation:

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this is the same as n/2 × (a1 + an), because

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and now solve for n

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