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
Aleksandr [31]
4 years ago
12

Find values of a and b that make the following equality into identity:

Mathematics
1 answer:
joja [24]4 years ago
6 0

Answer:

a = -2/5 and b = 2/5.

Step-by-step explanation:

Multiply  each term by (x + 3)(x - 2) :

2 ≡  a(x - 2) + b(x + 3)

Let x = 2:

2 ≡ 0 + 2b + 3b

b = 2/5.

Let x = -3:

2 ≡  a(-3-2) + 0

a = -2/5

You might be interested in
Una pequeña empresa dedicada a la fabricación de muebles lanzará al mercado un nuevo modelo de escritorio para escolares a un pr
Pie

Answer:

Se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.

Step-by-step explanation:

La utilidad por cada escritorio se obtiene al sustraer los costes fijos y variables del precio, es decir:

u = S/ \,125 -S/\,4,75 - S/\,75

u = S/\,45.25

El número de escritorios a vender para obtener S/\,25000 se calcula mediante la siguiente regla de tres simple:

x = \frac{S/\,25000}{S/\,45,25} \times 1\,esc

x = 552.486

Puesto que la cantidad a vender es una variable entera, se debe redondear al entero más cercano. En consecuencia, se debe fabricar y vender 553 escritorios para lograr una utilidad de S/ 25000.

7 0
3 years ago
Arrange the fraction in asending and desending order 4/5 , 2/15 , 2/30​
Andrej [43]

Answer:

See below

Step-by-step explanation:

<u>Given fractions</u>

  • 4/5, 2/15, 2/30

<u>To arrange the fractions we need to bring them to common denominator</u>

  • LCM(5,15,30) = 30
  • 4/5 = 24/30
  • 2/15 = 4/30
  • 2/30

<u>In ascending order</u>

  • 2/30, 4/30, 24/30

<u>Reverse order</u>

  • 24/30, 4/30, 2/30

3 0
3 years ago
You solved a linear system with two equations and two variables and got the equation o=-8. how many solutions does the system of
Luda [366]
If you simplified a two-equation system and all variables were eliminated, two outcomes are possible.

If the final equation is a true equation, like 3=3, then the system has an <em>infinite number of solutions </em> (the equations graph the same line, and all points appear on both graphs)

If the final solution is a mathematically false equation, like 0=-8, the system has no solution. The lines are parallel and never intersect (have a solution)
3 0
4 years ago
what is the solution to the system of equations shien on the graph? A.(0,5) B.(-2,1) C.(0,-1) D.(1,-2)
VLD [36.1K]

Solution is where the lines intersect. It's  is (-2 , 1)

Answer is B.(-2,1)

3 0
3 years ago
The length of a rectangle is 3 meters less than twice its width
irakobra [83]
Whats the total perimeter?
3 0
3 years ago
Other questions:
  • Need help with these four
    14·2 answers
  • What is the explicit formula for this sequence?<br> 2,6, 18, 54, 162, ...
    10·1 answer
  • The model shows the expression 30 + 12.
    7·2 answers
  • lily can travel 60 miles in 1.5 hours. If her speed is reduced by 5 mph,how har can she travel in 3 hours
    15·2 answers
  • 15 - (4m - 5m) = 32<br><br> Please help! What does m equal???
    5·1 answer
  • What is the missing value
    8·1 answer
  • the size of an interior angle of a regular polygon is 3x. It's exterior is (x- 20)°. Find number if the sides of the polygon.​
    10·1 answer
  • _____?? help ??______<br>and NO FILES OR LINKS
    12·2 answers
  • Based on the table below, find the input and output values of the function.
    11·1 answer
  • An investment is worth $2700 in 1992. By 1997 it has grown to $5570. Let y be the
    11·1 answer
Add answer
Login
Not registered? Fast signup
Signup
Login Signup
Ask question!