MATHEMATICS HIGH SCHOOL

Express (x-1)(x+2)(x-3) in standard form

Answers

Answer 1

Answer: I hope this helps you

(x.x+2x-1.x-1.2)(x-3)

(x^2+x-2)(x-3)

x^2.x-3.x^2+x.x-3.x-2.x-2. (-3)

x^3-4x^2-5x+6

Answer 2

Answer:

Answer:

x^3-2x^2-5x+6

Step-by-step explanation:

(x-3)(x-1)

(x^2-x-3x+3)(x+2)

x^3+2x^2-4x^2-8x+3x +6

now combine like terms

-8x + 3x = 5x

2x^2-4x^2= -2x^2

Related Questions

What is 0.25 kilometers expressed in centimeters?a. 25000 cm b. 250 cm c. 0.000025 cm d. 2500 cm
Problem 3. if f(x) = /2x-5 and g(x) = 5x? -- 3, find (gºf)(x).(Step by step please<3)
Name the line and plane shown in the diagram. I will make you a brainllest
What is 9/10 - 3/10 in simplest form?
What is -2(x-3) how do i answer this question?

PLEASE ANSWER ASAP! AN EXPLANATION IS A MUST REQUIREMENT IN ORDER TO RECEIVE 10 POINTS AND THE BRAINLIEST ANSWER! THANKS!!!

Answers

Hello,

I still say it is not my cup of tea.(I hate tea)

3*4*1/5+2*1/2*1=17/5=3.4
Answer D

Decide whether Rolle's theorem can be applied to f(x) = x2 + 5 on the interval [0, 3]. If Rolle's theorem can be applied, find all value(s) of c in the interval such that f '(c) = 0.

Answers

Answer:

Step-by-step explanation:

it is continuous in [0,3]

f'(x)=2x which exists in (0,3)

f(0)=0²+5=5

f(3)=3²+5=14

f(0)≠f(3)

so Rolle's theorem can't be applied.

Calculate the monthly payment of the following mortgages:Mortgage Amount: $146,800.00
APR: 5.25 %
Term: 30 years

Mortgage Amount: $113,400.00
APR: 5 %
Term: 15 years

Answers

first one is 7767.2 monthly payment and the second one I believe is 15750 monthly payment

i have no clue i wish could help, I know that apr means average percentage rate if that helps

Can a triangle be made with sides of length 7, 10, and 20 units?

Answers

It can't, in triangle sum of 2 sides have to be more than 3rd side, and we know that $7+10$ isn't more than $20$ I also add picture to make it more clear, circles represents range of each side

Answer:

noo

Step-by-step explanation:

The axis of symmetry for a function in the form f(x) = x2 + 4x − 5 is x = −2. What are the coordinates of the vertex of the graph?

Answers

The coordinates of the vertex of the graph are (-2, -9).

Further explanation

The quadratic function is described by the standard equation $\boxed{ \ f(x) = ax^2 + bx + c \ }.$ The graph of a quadratic function is called a parabola.

We have the quadratic function $\boxed{ \ f(x) = x^2 + 4x - 5 \ }.$

We identify the coefficients a, b, and c. For this equation, $\boxed{ \ a = 1, b = 4, and \ c = -5 \ }$
The axis of symmetry is $\boxed{ \ x = h = -(b)/(2a) \ }$ , i.e., $\boxed{ \ x = h = -(4)/(2(1)) \rightarrow h = -2 \ }.$ Thus, the statement in the question for the symmetry axis x = -2 is correct.
The vertex (or turning point) is $\boxed{ \ (h, k) \ },$ where $\boxed{ \ k = f(h) \ }$ or $\boxed{ \ k = (b^2 - 4ac)/(-4a) \ }$
The parabola opens upward because a > 0, resulting in a vertex that is a minimum.

Finding the minimum value is as follows:

$\boxed{ \ k = f (-2) = (-2)^2 + 4(-2) - 5 \rightarrow k = -9 \ }, or$
$\boxed{ \ k = (4^2 - 4(1)(-5))/(-4(1)) = -(36)/(4) \rightarrow k = -9 \ }$

Therefore, the coordinates of the vertex of the graph are (h, k), i.e., $\boxed{\boxed{ \ (-2, -9) \ }}$

Other components:

The y-intercept of the quadratic function f(x) = x² + 4x - 5 is (0, c), i.e., the point $\boxed{ \ (0, -5) \ }.$
The factorization of f (x) = x² + 4x - 5 becomes f(x) = (x + 5)(x - 1). Then we get the x-intercepts at $\boxed{ \ (-5, 0) \ and \ (1, 0) \ }$

Learn more

Which is the graph of f(x) = (x - 1)(x + 4) brainly.com/question/2334270
Finding the y-intercept of the quadratic function f(x) = (x – 6)(x – 2) brainly.com/question/1332667
The midpoint brainly.com/question/3269852

Keywords: the axis of symmetry, for a function, f(x) = x² + 4x − 5, x = −2, which is the graph of f(x) = (x - 1)(x + 4), what, the coordinates of the vertex of the graph, the x-intercept, quadratic function, a standard equation, the y-intercept, parabola, upward, the minimum value

Based on the calculations, the coordinates of the vertex(h, k) of this graph are equal to (-2, -9).

The standard form of a quadratic equation.

In Mathematics, the standard form of a quadratic equation is given by;

ax² + bx + c = 0

Note: The graph of any quadratic function is known as a parabola.

From the given quadratic function, we have:

f(x) = x² + 4x - 5

For its coefficients, we have:

a = 1.

b = 4.

c = -5.

Next, we would determine the coordinates of the vertex of this graph:

x = h = -b/2a

h = -4/2(1)

h = -4/2

h = -2.

Also, we can deduce that the parabola of this graph opens upward because "a" is greater than zero (0), which produces a vertex that is a minimum:

f(h) = k

f(-2) = k = (-2)² + 4(-2) - 5

f(-2) = k = 4 - 8 - 5

k = -9.

Vertex (h, k) = (-2, -9).

Read more on vertex here: brainly.com/question/525947

#SPJ5

Lee had a total of 40 e-mails on Monday. Twelve of the e-mails were from her friend Cara. What percent of the e-mails were from Cara?

Answers

❅ We can look at this question as what is 12% of 40.
❅ Lets lookat it like this: Y is 12% of 40
❅ We are going to do y=12%*40

❅ Now convert the answer you get into a decimal.
❅ 12%/100 = 0.12
❅ Now once again, solve: 0.12 * 40
❅ and then you get 4.8
❅4.8 is 12% of 40.
Now to get the number of percent
Divide: 12/40=.3

And you get: .3=30%
So Carla was 30% of her emails.
And 4.8 is 12% of 40.
❅Hope this helps!❅

To find the percentage we divide the number of emails from Cara by the total number of emails.

12/40=.3

.3=30%

30% of the emails were from Cara

Other Questions

What multiplication fact matches the repeated addition problem? 2+2+2

jalil and Victoria are each asked to solve the equation ax – c = bx + d for x. Jalil says it is not possible to isolate x because each x has a different unknown coefficient. Victoria believes there is a solution, and shows Jalil her work:

An arc on a circle measures 85°. The measure of the central angle, in radians, is within which range?

What is the sum of the solutions of the 2 equations below? 8x = 12 2y + 10 = 22