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
hoa [83]
3 years ago
9

The function f(x) = g(x), where f(x) = 2x – 5 and g(x) = x2 – 6.

Mathematics
1 answer:
den301095 [7]3 years ago
5 0

Answer:

x=2.4

Step-by-step explanation:

<u>Solving Equations Using Successive Approximations</u>

We need to find the solution to the equation

f(x)=g(x)

where

f(x)=2x-5

g(x)=x^2-6

The approximation has been already started and reached a state for x=2.5 where

f(2.5)=0

g(2.5)=2.5^2-6=0.25

The difference between the results is 0.25, we need further steps to reach a good solution (to the nearest tenth)

Let's test for x=2.4

f(2.4)=-0.2

g(2.4)=2.4^2-6=-0.24

The new difference is -0.2+0.24=0.04

It's accurate enough, thus the solution is

\boxed{x=2.4}

You might be interested in
F÷−32=−31<br><br> whats the answer?
Archy [21]

Reformatting the input :

Changes made to your input should not affect the solution:

(1): "/-32" was replaced by "/(-32)".

Rearrange:

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

f/(-32)-(-31)=0

Step by step solution :

STEP

1

:

f

Simplify ———

-32

Equation at the end of step

1

:

f

——— - -31 = 0

-32

STEP

2

:

Rewriting the whole as an Equivalent Fraction

2.1 Subtracting a whole from a fraction

Rewrite the whole as a fraction using -32 as the denominator :

-31 -31 • -32

-31 = ——— = —————————

1 -32

Equivalent fraction : The fraction thus generated looks different but has the same value as the whole

Common denominator : The equivalent fraction and the other fraction involved in the calculation share the same denominator

Adding fractions that have a common denominator :

2.2 Adding up the two equivalent fractions

Add the two equivalent fractions which now have a common denominator

Combine the numerators together, put the sum or difference over the common denominator then reduce to lowest terms if possible:

f • -1 - (-31 • 32) 992 - f

——————————————————— = ———————

32 32

Equation at the end of step

2

:

992 - f

——————— = 0

32

STEP

3

:

When a fraction equals zero

3.1 When a fraction equals zero

Where a fraction equals zero, its numerator, the part which is above the fraction line, must equal zero.

Now,to get rid of the denominator, Tiger multiplys both sides of the equation by the denominator.

Here's how:

992-f

————— • 32 = 0 • 32

32

Now, on the left hand side, the 32 cancels out the denominator, while, on the right hand side, zero times anything is still zero.

The equation now takes the shape :

992-f = 0

Solving a Single Variable Equation:

3.2 Solve : -f+992 = 0

Subtract 992 from both sides of the equation :

-f = -992

Multiply both sides of the equation by (-1) :

f = 992

the answer is f = 992

8 0
3 years ago
Read 2 more answers
Drag each shape to the correct category.
Mariulka [41]

Answer:

Step-by-step explanation:

4 0
2 years ago
A train travels at 45 miles per hour. Write and equation that represents the distance, d, that the train will travel, in t hours
jek_recluse [69]

Answer:

d = 45 * t

Step-by-step explanation:

We know the equation as dert

distance equals rate * time

d = 45 * t

3 0
3 years ago
Read 2 more answers
An administrator at UF wants to estimate the proportion of students who would support an increase in the student activity fee. T
Natalija [7]

Answer:

The correct answer is "664".

Step-by-step explanation:

The given values are:

Margin of error,

E = 5%

i.e.,

   = 0.05

Level of confidence,

C = 99%

i.e.,

   = 0.99

Level of significance,

α = 0.01

From the z value table,

Critical z = 2.576

As we know,

The required sample size n will be:

=  (\frac{z}{E} )^2\times p(1-p)

On substituting the values, we get

=  (\frac{2.576}{0.05} )^2\times 0.5(1-0.5)

=  (51.52)^2\times 0.25

=  2,654.31\times 0.25

=  663.5776

i.e.,

=  664

3 0
3 years ago
QUESTION 3: La grand-mère d'Anna a dans un sac 124,75 $ en pièces de 0,25$.
Stella [2.4K]

Answer:

La réponse devrait être 306

Step-by-step explanation:

8 0
4 years ago
Other questions:
  • Im not sure how to solve this, can you help me? will give brainlist, thank you!
    15·1 answer
  • NEED HELP QUICK! u dont have to give me the answer, giving me the equation to use would be just fine and greatly appreciated!
    7·1 answer
  • An object is dropped from rest at a height of 350 feet on a planet where the acceleration due to gravity is −60 ft./s.2. Find th
    9·2 answers
  • To find the quotient of
    15·1 answer
  • 2. find the surface area of 12 in 6 in 6 in Your answer​
    5·1 answer
  • How to graph inequalities
    5·1 answer
  • the two lines graphed below are not parallel. how many solutions are there to the system of equations
    12·2 answers
  • Where can I contact the CEO of brainly I feel like they should allow more then 2 answers per question to create a more variety o
    8·1 answer
  • What was the water level at 0 minutes when Henry began to fill his tank
    11·2 answers
  • Help picture below problem 13
    9·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!