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4 years ago

PLEASE HELP ME PLEASE PLEASE !

Mathematics

2 answers:

satela [25.4K]4 years ago

8 0

first one is falsequestion 5 is truequestion 6 is false and the last one is Dhope it helps:)

Anettt [7]4 years ago

6 0

Y = 3^x . . . . FALSE . . . . . (compare to the graph on the next page)

y = 2^(x-1) +2 . . . . TRUE

y = 4^x . . . . TRUE . . . . . (same as the graph on the first page)

y = 2^(x -3) . . . . selection A

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Graph of y=(x-3)(x+4)

tekilochka [14]

Answer:

For graph refer to attachment .

Step-by-step explanation:

We need to plot the graph of a given function . The given function is ,

$\rm\implies y = ( x - 3)(x+4)$

When we will simplify the RHS term we will get ,

$\rm\implies y = x( x + 4 ) -3(x + 4 )$

Simpify the brackets ,

$\rm\implies y = x^2 + 4x -3x -12$

Add like terms , we have ,

$\rm\implies \boxed{\blue{\rm y = x^2+x -12}}$

From the equation :-

The graph will cut x axis at 3 and -4 as x = 3 and -4 are the roots of the equation .
The graph will cut y axis at (0,-12)
The vertex of the graph will be (-0.5,-12.5)

For the graph refer to attachment .

5 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