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3 years ago

The value of n from the set {6, 7, 8, 9} that holds true for 4n − 12 < 2n + 2 is ?

Mathematics

2 answers:

alekssr [168]3 years ago

4 0

6 is the answer to your problem

sleet_krkn [62]3 years ago

3 0

Hi there! The answer is n = 6

Let's solve this problem step by step.

$4n - 12 < 2n + 2$
First subtract 2n from both sides.

$2n - 12 < 2$
Add 12 to both sides.

$2n < 14$
Divide by 2.

$n < 7$

Therefore, the only value of n from the set {6, 7, 8, 9} that holds true, would be n = 6 (since our value of n must be smaller than 7).

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PIT_PIT [208]

The solution to the equation is p = 1/3 and q = undefined

<h3>How to solve the equation?</h3>

The equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

The best way to solve the above equation is by the use of a graphing calculator i.e. graphically

However, it can be solved algebraically too (to some extent)

Recall that the equation is given as:

p^2 - 2qp + 1/q = (p - 1/3)

Split the equation

So, we have

p^2 - 2qp + 1/q = 0

p - 1/3 = 0

Solve for p in p - 1/3 = 0

p = 1/3

Substitute p = 1/3 in p^2 - 2qp + 1/q = 0

So, we have

(1/3)^2 - 2q(1/3) + 1/q = 0

This gives

1/9 - 2/3q + 1/q = 0

This gives

2/3q + 1/q = -1/9

Multiply though by q

So, we have

2/3q^2 + 1 = -1/9q

Multiply through by 9

6q^2 + 9 = -q

So, we have

6q^2 + q + 9 = 0

Using the graphing calculator, we have

q = undefined

Hence. the solution to the equation is p = 1/3 and q = undefined

Read more about equations at:

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5 0

2 years ago

Solve the equation for the indicated variable. SHOW ALL WORK! <br><br> ab-ac=2 solve for a

Juli2301 [7.4K]

Answer:

a= 2/b-c

Step-by-step explanation:

We want isolate for a or to be itself

ab-ac=2

factor out a

a (b-c)=2

Now bring b-c to the other side

a (b-c)/(b-c)=2/b-c

The b-c cancel each other out

a= 2/(b-c)

5 0

3 years ago

PLEASE HELP ASAP I DO NOT UNDERSTAND

lutik1710 [3]

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7 0

3 years ago

Vertical? Supplementary? Right? Complementary?

Reika [66]

Answer:

Step-by-step explanation:

because we know that angle EOD is less the 90 so that means that it is complementary. For AOB it is the same but we can check by adding 35 plus x plus 90 =180 degrees so 35+90=125 x=180-125=55 so x=55 and 55 is less then 90 so it is a complementary angle.

7 0

3 years ago

For what value of constant c is the function k(x) continuous at x = 0 if k =

nlexa [21]

The value of constant c for which the function k(x) is continuous is zero.

<h3>What is the limit of a function?</h3>

The limit of a function at a point k in its field is the value that the function approaches as its parameter approaches k.

To determine the value of constant c for which the function of k(x) is continuous, we take the limit of the parameter as follows:

$\mathbf{ \lim_{x \to 0^-} k(x) = \lim_{x \to 0^+} k(x) = 0 }$

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}= c }$

Provided that:

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}= \dfrac{0}{0} \ (form) }$

Using l'Hospital's rule:

$\mathbf{\implies \lim_{x \to 0} \ \ \dfrac{\dfrac{d}{dx}(sec \ x - 1)}{\dfrac{d}{dx}(x)}= \lim_{x \to 0} sec \ x \ tan \ x = 0}$

Therefore:

$\mathbf{\implies \lim_{x \to 0 } \ \ \dfrac{sec \ x - 1}{x}=0 }$

Hence; c = 0

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5 0

2 years ago