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
Maslowich
3 years ago
9

Two functions are given.

Mathematics
1 answer:
ArbitrLikvidat [17]3 years ago
4 0

Hi

f(x) = g(x)   if    -x²+3x-2   - ( -x+1) = 0

                      -x² +3x-2 +x-1 = 0

                      -x² +4x -3 = 0

To solve, tou have to use the general method of resolution of a quadratic fonction.  

To determine if it's has a solution in R, let's calculate  Δ

Δ = (4)² - 4 * (1) *(-3)

Δ = 16 +12

Δ= 28  

as Δ≥ 0  so  the function allow two solution within R  

so S 1 =  ( -4 +√28) / 2            S 2 =   (-4 -√28 ) /2

    S1 =   ( -4 + 2√7) /2            S2 =    (-4 - 2√7) /2

    S1 =    (2 (-2 +√7) /2            S2      2 (-2 -√7)   /2

    S1 =    -2 +√7                       S2 =      -2 -√7

So the two function  are equal   twice. one  for   x = -2 +√7  and second x = -2-√7

You might be interested in
On a coordinate grid, plot the points (-2,4) and (-2,0). Join them with a line
KATRIN_1 [288]

Answer:

a 4

Step-by-step explanation:

4x5=15jddjshshhshsjsjsjsjsjejejsjejejeejjssjsj

6 0
3 years ago
Una lancha que viaja a 10 m/s pasa por debajo de un puente 3 segundos después que ha pasado un bote que viaja a 7 m/s, ¿después
ExtremeBDS [4]

Answer:

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

Step-by-step explanation:

Sea el punto debajo del puente el punto de referencia y que ambas lanchas se desplazan a velocidad a continuación, las ecuaciones cinemáticas para cada embarcación son presentadas a continuación:

Bote a 7 metros por segundo

x_{A} = x_{o}+v_{A}\cdot t (Ec. 1)

Lancha a 10 metros por segundo

x_{B} = x_{o}+v_{B}\cdot (t-3\,s) (Ec. 2)

Donde:

x_{o} - Posición debajo del puente, medido en metros.

x_{A}, x_{B} - Posición final de cada embarcación, medido en metros.

v_{A}, v_{B} - Velocidad de cada embarcación, medida en metros por segundo.

t - Tiempo, medido en segundos.

Para determinar la posición en la que ambas embarcaciones se encuentran, se debe determinar el instante en que ocurre a partir de la siguiente condición: x_{A} = x_{B}

Igualando (Ec. 1) y (Ec. 2) se tiene que:

v_{A}\cdot t = v_{B}\cdot (t-3\,s)

Ahora despejamos el tiempo:

3\cdot v_{B} = (v_{B}-v_{A})\cdot t

t = \frac{3\cdot v_{B}}{v_{B}-v_{A}}

Si sabemos que v_{B} = 10\,\frac{m}{s} y v_{A} = 7\,\frac{m}{s}, entonces:

t = \frac{3\cdot \left(10\,\frac{m}{s} \right)}{10\,\frac{m}{s}-7\,\frac{m}{s}}

t = 10\,s

Ahora, la posición de encuentro es: (x_{o} = 0\,m, v_{A} = 7\,\frac{m}{s} y t = 10\,s)

x_{A} = 0\,m + \left(7\,\frac{m}{s} \right)\cdot (10\,s)

x_{A} = 70\,m

La lancha y el bote se encontrarán a 70 metros de distancia del puente.

6 0
3 years ago
What is the answer to the question 25% of what is 21?
g100num [7]
If we call the number "x" then:
x*25%=21
x*25/100=21
x=21*4
x=84

Hope this helps. :)
8 0
3 years ago
Read 2 more answers
Solve 3(x + 2) > x.
Kamila [148]

Answer:

3x + 6 > x

2x > -6

x > -3

answer is d

6 0
3 years ago
Read 2 more answers
London Heathrow airport sees on average 191,200 passengers a day. How many passengers is this per minute?
taurus [48]
Divide it by 24 then that answer is divided by 60 to get 132.7777 which you can have so 133 people per minute
7 0
3 years ago
Other questions:
  • 365/12 divide it.................................pls help me
    12·1 answer
  • T = 2π √l/g Re-arrange to make l the subject.
    5·1 answer
  • Create your own quadratic function in standard form with a Y intercept is 9
    12·1 answer
  • How can you determine when two angles are similar
    9·2 answers
  • An electrician needs 3/5 of a roll of electrical wire to wire each room in a house. How many rooms can he wire with 3 3/5 rolls
    9·1 answer
  • A cinema manager is carrying out a survey.
    8·1 answer
  • Please help, giving brainlist to anyone who answers
    15·1 answer
  • A triangle with area 195 square inches has a height that is one less than four times the base. Find the base and the height of t
    8·2 answers
  • Plzz help i been asking this question for way too long
    11·1 answer
  • A bridge is sketched in the coordinate plane as a parabola represented by the equation h=40-0.01x2, where h refers to the height
    14·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!