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3 years ago

Which one represent the solution.

Mathematics

1 answer:

bixtya [17]3 years ago

5 0

Answer:

N is less than 2, (C)

Step-by-step explanation:

Divide both sides by -6, and since two negatives make a positive, you get n is less then 2.

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Help me get thi s it is hard

aksik [14]

You would have to do 2/3 divided by 30 wich will leave you with x

5 0

3 years ago

Read 2 more answers

Evaluate the following algebraic expression if a equals 3 and b equals 4 2a^+5b

Korolek [52]

Replace a and b with their number value:

2a^2 + 5b = 2(3)^2 +5(4)
do the 3^2 first: 3^2 = 9
so now you have 2(9) +5(4)
now multiply both sets of numbers: 2 x 9 = 18 and 5 x 4 = 20
now add them:

18 +20 = 38

6 0

3 years ago

Consider the equation below. (If an answer does not exist, enter DNE.) f(x) = x3 − 6x2 − 15x + 2 (a) Find the interval on which

Burka [1]

Answer:

a) $(-\infty, -1) \cup (5, \infty)$

b) $(-1,5)$

Step-by-step explanation:

The first step to solve this question is finding the roots of the derivative of x.

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$f(x) = x^{3} - 6x^{2} - 15x + 2$

$f'(x) = 3x^{2} - 12x - 15$

Finding the roots:

$3x^{2} - 12x - 15 = 0$

Simplifying by -3

$x^{2} - 4x - 5 = 0$

So $a = 1, b = -4, c = -5$

Then

$\bigtriangleup = (-4)^{2} - 4*1*(-5) = 36$

$x_{1} = \frac{-(-4) + \sqrt{36}}{2} = 5$

$x_{2} = \frac{-(-4) - \sqrt{36}}{2} = -1$

So the function can be divided in three intervals.

They are:

Less than -1

Between -1 and 5

Higher than 5

In which it increases and which it decreases?

Less than -1

Lets find the derivative in a point in this interval, for example, -2

$f'(x) = 3x^{2} - 12x - 15$

$f'(-2) = 3*(-2)^{2} - 12*(-2) - 15 = 21$

Positive.

So in the interval of $(-\infty, -1)$ , the function increases.

Between -1 and 5

Will choose 0.

$f'(x) = 3x^{2} - 12x - 15$

$f'(0) = 3*(0)^{2} - 12*(0) - 15 = -15$

Negative.

So in the interval of $(-1,5)$ , the function decreases.

Higher than 5

Will choose 6.

$f'(x) = 3x^{2} - 12x - 15$

$f'(6) = 3*(6)^{2} - 12*(6) - 15 = 21$

Positive

So in the interval of $(5, \infty)$ , the function increases.

(a) Find the interval on which f is increasing.

Using interval notation

$(-\infty, -1) \cup (5, \infty)$

b) Find the interval on which f is decreasing.

$(-1,5)$

5 0

4 years ago

HELP!!!! I need help

ahrayia [7]

Answer:

1 Tenths = 10 Hundredths

10.74 - 10.60 = 0.14

0.14 = 14 hundredths

Thus, you need 10 ones, 6 tenths and 14 hundredths to make 10.74.

3 0

3 years ago

A gym all machine contains 23 green gum balls, 52 red gum balls, 34 blue gum balls, 61 yellow gum balls, and 30 pink gum balls.

LenKa [72]

Answer:

26%

Step-by-step explanation:

total gum balls 200

52/200 = x/100

52×100=5200

5200÷200=26

5 0

3 years ago