What is a logarithmic function?

Answers

Answer 1

Answer:
THE LOGURITHMIC FUNCTION IS THE UNVERSE OF EXPONETIAL FUNCTION IN MATH

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Can someone please help me with this quick question

(x − 2) is a factor of x4 + 2x3 − 7x2 − 8x + 12. The other factors are ___, ___, and ___.

Answers

The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3).

What are the roots of an equation?

Roots of an equation are the solution of that equation since an equation consists of hidden values of the variable to determine them by different processes and then the resultant is called roots.

For example root of x -4 = 0 is x = 4 so 4 will be the only root of this linear equation.

Given the equation,

x⁴ + 2x³ − 7x² − 8x + 12

If (x - 2) is a factor of the equation then it should be divisible by it.

So,

(x⁴ + 2x³ − 7x² − 8x + 12) / (x - 2) = (x³ + 4x² + x - 6)

Now divide by (x - 1) of (x³ + 4x² + x - 6)

(x³ + 4x² + x - 6) / (x - 1) = x² + 5x + 6

So,

⇒ (x - 2)(x - 1)(x² + 5x + 6)

⇒ (x - 2)(x - 1)( x² + 2x + 3x + 6)

⇒ (x - 2)(x - 1)[ x(x + 2) + 3(x + 2) ]

⇒ (x - 2)(x - 1)(x + 2)(x + 3)

Hence "The all other 3 factors of the equation x⁴ + 2x³ − 7x² − 8x + 12 will b e(x + 2),(x - 1) and (x + 3)".

To learn more about the roots of an equation,

brainly.com/question/12029673

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Answer:

Step-by-step explanation:

The given equation is:

$x^4+2x^3-7x^2-8x+12$

Now, (x-2) is a factor of the given equation, therefore

$(x-2)(x^3+4x^2+x-6)$

$(x-2)(x-1)(x^2+5x+6)$

$(x-2)(x-1)(x^2+3x+2x+6)$

$(x-2)(x-1)(x(x+3)+2(x+3))$

$(x-2)(x-1)(x+2)(x+3)$

Therefore, the other factors are (x-1), (x+2) and (x+3).

A snack tray at a party has cheese squares with 2 grams of protein apiece and turkey slices with 3 grams of protein apiece. Which inequality represents the possible ways Nina can eat 12 or more grams of protein, if x is the number of cheese squares that she eats and y is the number of turkey slices that she eats?12 ≤ x + y
12 ≥ x + y
12 ≤ 2x + 3y
12 ≥ 2x + 3y

Answers

The inequality that represents the possible ways Nina can eat 12 or more grams of protein is 12 ≤ 2x + 3y, where x is the number of cheese squares that she eats and y is the number of turkey slices that she eats. In equation, 12 ≤ 2(2) + 3(3) to 12 ≤ 4 + 9 to 12 ≤ 13.

Answer:

The letter answer is c

Step-by-step explanation:

A recipe calls for 10 cups of oatmeal. Benjamin wants to make 1/5 fewer servings than the recipe makes.Which expression represents how many cups of oatmeal Benjamin should use?

A.
0.8 * 10

B.
1.8 * 10

C.
0.2 * 10

D.
1.2 * 10

Answers

the answer is c: .2 cups of oatmeal

Answer:the answer is c: .2 cups of oatmeal

Step-by-step explanation:

Is 19/4 feet long piano will fit on 5 feet long space?

Answers

simplify by dividing 19 by 4
the closest we can get is 16/4=4 and the remainder 3/4

so the piano is 4 and 3/4 foot long which is less than 5 so it will fit

4 go into 19 4 times which would be 16 and with 3 left over so it would be 4 3/4.

What should be done to both sides of the equation in order to solve N/4 = -12.4

Answers

Mutiply each by four to get n=-49.6. Hope this helped.

Answer:

Multiply by 4.

Step-by-step explanation:

A box of crackers is 16 cm long, 6 cm wide, and 23 cm tall. What is the volume of this box?

Answers

Given: 16cm long, 6cm wide, 23 cm tall
Asked: volume of the box
Formula: V=LxWxH
Solution: V = 16x6x23 = n
Answer: 2,208 cm³ volume of the box

Your answer is 2,208 cm.

Hope this helps.

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