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3 years ago

Functions f(x) and g(x) are shown below:

1 answer:

Rudiy273 years ago

4 0

Maximum value is found by solving the root of the first derivative. that root is where the maximum value is.

f ' (x) = -8(x - 6) = 0.

So x = 6 and that's the maximum value. f(6) = 3

2cos(2x - π) + 4 is a trig function. The maximum value of cosine function is 1.

So the maximum value would be 2(1) + 4 = 6.

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Evaluate the expression when a = 10. a/4 + 1/3

liraira [26]

10/4 + 1/3 = 17/6

step 1: reduce the fraction with 2:

5/2 + 1/3

step 2: write all numerators above the common denominator 6:

15 + 2/ 6

step 3: add the numbers:

17/6

7 0

3 years ago

Need help solving please.

3241004551 [841]

Answer:

25/36

Step-by-step explanation:

Solved in steps:

- 2/9 - ( -11/12) =
- 2/9 + 11/12 =
- 2*4/9*4 + 11*3/12*3 =
-8/36 + 33/36 =
25/36

Simplest fraction is 25/36

3 0

3 years ago

which of the following expresses the possible number of positive real solutions for the polynomial equation shown below

Nookie1986 [14]

The polynomial equation x³ - 4x² - 7x + 28 = 0, has solutions -√7, √7, and 4, among which √7 and 4 are positive real solutions. Hence we have two positive real solutions. Hence, option D is the right choice.

In the question, we are asked for the number of positive real solutions for the polynomial equation, x³ - 4x² - 7x + 28 = 0.

To find the solutions, we do as follows:

x³ - 4x² - 7x + 28 = 0,

or, (x³ - 7x) - (4x² + 28) = 0 {Grouping},

or, x(x² - 7) - 4(x² - 7) = 0 {Taking common},

or, (x - 4)(x² - 7) = 0 {Grouping},

or, (x - 4)(x + √7)(x - √7) = 0 {Using the formula: $a^2 - b^2 = (a+b)(a-b)$ }.

By the zero-product rule, the solutions are:

x - 4 = 0, or, x = 4,

x + √7 = 0, or, x = -√7,

x - √7 = 0, or, x = √7.

Thus, the positive real solutions are 4, and √7. Hence, there are two positive real solutions.

Thus, the polynomial equation x³ - 4x² - 7x + 28 = 0, has solutions -√7, √7, and 4, among which √7 and 4 are positive real solutions. Hence we have two positive real solutions. Hence, option D is the right choice.

Learn more about polynomials at

brainly.com/question/1550365

#SPJ4

The complete question is:

"Which of the following expresses the possible number of positive real solutions for the polynomial equation shown below?

x³-4x²-7x+28=0

a. two or zero

b. three or one

c. one

d. two"

5 0

2 years ago

What is the product of One-half times 1 Over 8

aleksklad [387]

Answer:start fraction 1 over 16 end fraction.

Step-by-step explanation:

6 0

3 years ago

Read 2 more answers

Factor the quadratic inequality to find the x-intercept points. y >= x ^ 2 - 2x - 3

OverLord2011 [107]

Answer:

x = 3

x = -1

Step-by-step explanation:

First you wanna assume that y is 0: 0 $\geq$ $x^{2}$ - 2x - 3

now factor the right side like any other problem:

we know that we automatically have (x _ ?)(x_?), because there is an x squared

now we need to find a number that multiplies to -3 and adds up to -2

if take positive 1 and -3, we multiply it to get -3, and when you add the two numbers, you get -2

so now we can fill (x _ ?)(x_?), and turn it into (x - 3)(x + 1)

now we will take each parenthesis part and separate it and solve them for x individually:

(x - 3) = 0

x = 3

(x + 1) = 0

x = -1

so now we have our x intercepts

3 0

3 years ago