The given expression becomes undefined when y=5 or y = -3. The answer is option D.
Step-by-step explanation:
The value of the given expression becomes undefined when the denominator equals 0.
Hence to find the value of y which makes the expression undefined, we can equate the value of the denominator to zero and solve it .
Step 1
Equate the denominator to 0.
y^{2} - 2y -15 = 0
Step 2
Solve the above equation to get the value of y.
y^{2} - 2y -15 = 0
=> (y-5)(y+3) =0 [ Roots of the quadratic equation]
=> y = 5 or y = -3.
Hence when y = 5 or y = -3 the denominator becomes 0, which makes the expression (2y+7)/0 and hence it is undefined.
Answer:

Step-by-step explanation:
<u>Trinomio Cuadrado Perfecto</u>
El producto notable llamado cuadrado de un binomio se expresa como:

Si se tiene un trinomio, es posible convertirlo en un cuadrado perfecto si cumple con las condiciones impuestas en la fórmula:
* El primer término es un cuadrado perfecto
* El último término es un cuadrado perfecto
* El segundo término es el doble del proudcto de los dos términos del binomio.
Tenemos la expresión:

Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:


Calculamos el valor de a como la raiz cuadrada del primer término del trinomio:


Nos cercioramos de que el término central es 2ab:

Operando:

Una vez verificado, ahora podemos decir que:

The equation that models the total cost is y = 100 + 22.5m
Step-by-step explanation:
Fitness member ship cost = $100
Monthly fee = $25
Discount = 10% on monthly fee
To calculate new monthly fee after discount,
25 - (25*10%) --> 25 - 2.5 --> $22.5
Number of months = m
Fee in m months = 22.5*m = 22.5m
<u>Equation:</u>
(c) is constant which is the membership fee
(x) is the monthly fee $22.5
(m) is the number of months
(y) is the total cost
So,
y = mx + c
y = m(22.5) + 100
y = 100 + 22.5m
Therefore, the equation that models the total cost is y = 100 + 22.5m
Keyword: Equation
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Answer:
arc BD = 100
Step-by-step explanation:
arc BD = arc CA because ∠AOC = ∠BOD (vertical angles)
arc BD = 100