1answer.
Ask question
Login Signup
Ask question
All categories
  • English
  • Mathematics
  • Social Studies
  • Business
  • History
  • Health
  • Geography
  • Biology
  • Physics
  • Chemistry
  • Computers and Technology
  • Arts
  • World Languages
  • Spanish
  • French
  • German
  • Advanced Placement (AP)
  • SAT
  • Medicine
  • Law
  • Engineering
andreyandreev [35.5K]
2 years ago
12

F(x) = -x^2-3x find f (10)

Mathematics
1 answer:
Effectus [21]2 years ago
3 0

Rearrange:

Rearrange the equation by subtracting what is to the right of the equal sign from both sides of the equation :

                    f*(x)-(-x^2-3*x)=0  

STEP

1

:

STEP

2

:

Pulling out like terms

2.1     Pull out like factors :

  fx + x2 + 3x  =   x • (f + x + 3)  

Equation at the end of step

2

:

 x • (f + x + 3)  = 0  

STEP

3

:

Theory - Roots of a product

3.1    A product of several terms equals zero.  

When a product of two or more terms equals zero, then at least one of the terms must be zero.  

We shall now solve each term = 0 separately  

In other words, we are going to solve as many equations as there are terms in the product  

Any solution of term = 0 solves product = 0 as well.

Solving a Single Variable Equation:

3.2      Solve  :    x = 0  

 Solution is  x = 0

Equation of a Straight Line

3.3     Solve   f+x+3  = 0

Tiger recognizes that we have here an equation of a straight line. Such an equation is usually written y=mx+b ("y=mx+c" in the UK).

"y=mx+b" is the formula of a straight line drawn on Cartesian coordinate system in which "y" is the vertical axis and "x" the horizontal axis.

In this formula :

y tells us how far up the line goes

x tells us how far along

m is the Slope or Gradient i.e. how steep the line is

b is the Y-intercept i.e. where the line crosses the Y axis

The X and Y intercepts and the Slope are called the line properties. We shall now graph the line  f+x+3  = 0 and calculate its properties

Graph of a Straight Line :

 

 

Calculate the Y-Intercept :

Notice that when x = 0 the value of f is -3/1 so this line "cuts" the f axis at f=-3.00000

 f-intercept = -3/1  = -3.00000  

Calculate the X-Intercept :

When f = 0 the value of x is -3/1 Our line therefore "cuts" the x axis at x=-3.00000

 x-intercept = -3/1  = -3.00000  

Calculate the Slope :

Slope is defined as the change in f divided by the change in x. We note that for x=0, the value of f is -3.000 and for x=2.000, the value of f is -5.000. So, for a change of 2.000 in x (The change in x is sometimes referred to as "RUN") we get a change of -5.000 - (-3.000) = -2.000 in f. (The change in f is sometimes referred to as "RISE" and the Slope is m = RISE / RUN)

   Slope     = -2.000/2.000 = -1.000  

Geometric figure: Straight Line

 Slope = -2.000/2.000 = -1.000

 x-intercept = -3/1 = -3.00000

 f-intercept = -3/1 = -3.00000

x = 0

You might be interested in
3-*= x3 + x to the nearest tenth.
Vesna [10]

Answer:

− 1.52

Step-by-step explanation:

3 - 8 = x^3 + x

3 0
2 years ago
How can 3 tents be 40 dollars
nasty-shy [4]

I'm assuming this is a math question and all the tents equal the same thing, so to find the price for one tent, we would divide 40/3

Each tent is about $13.33

5 0
2 years ago
Plz help this is due today AND NO LINKS OR GROSS PICTURES OR I REPORT
pshichka [43]

Answer:

90

Step-by-step explanation:

an obtuse angle is an angle from 90 - 180 degrees, so it would greater than 90 degrees

4 0
3 years ago
What is the reciprocal of 2 1/2
astraxan [27]

Answer:

2/5

0.4

Step-by-step explanation:

3 0
2 years ago
Read 2 more answers
What is the distance between the following points?
Anastasy [175]

Answer:

distance = 5

Step-by-step explanation:

Use Pythagorean Theorem or Distance Formula (which comes from Pythagorean Thm anyway) see image.

6 0
2 years ago
Other questions:
  • Simplify by combining like terms 6a + 3b + a + 2
    11·1 answer
  • Find the value of y when x equals 4, -3x+9y=-57
    9·2 answers
  • A batch of 140 semiconductor chips is inspected by choosing a sample of 5 chips. assume that 10 of the chips do not conform to c
    15·1 answer
  • Write 123% as a fractions in simplest terms
    13·2 answers
  • I need the answers, plzz
    8·2 answers
  • Which expression is the simplest form of <br> - (3x^3+x^2) +2 (x^3– 4x^2)?
    13·2 answers
  • Find the value of x in each case:
    14·1 answer
  • ABCDE is a pentagon.
    7·1 answer
  • Help plz the faster the better anyone :(
    9·1 answer
  • Find the number a for which x=5 is a solution of the given equation.
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!