Question
Consider this system of equations. Which shows the second equation written in slope-intercept form?


A. 
B. 
C. 
D. 
Response:
B. 
Detailed explanation:
Given
Equation 1: 
Equation 2: 
Required:
Equivalent of equation 2
To achieve an equivalence of equation 2 (in slope-intercept form), we must first simplify it

Open the brackets


Simplify the fractions

Divide by 2


Re-arrange

Next, we compare options A through D with 
A. is not equal to 
Next, we check the second option
B.
matches 
This option represents the second equation in slope-intercept format.
We check for further options
C.

Convert the fraction into a decimal

This does not equal 
D.

Convert the fraction to decimal

This also does not equal to

Therefore, the only option equivalent to the second equation in slope-intercept form is Option B
Answer:
D.
Step-by-step explanation:
This function is piece-wise, meaning you will have two equations along with distinct domains. The equation x squared plus 3 illustrates a parabolic curve, while x plus 4 is depicted as a linear function. There is a specific reason why the point on the parabola is open at x equals 4; this signifies that the value does not satisfy the equation. Therefore, x cannot equal 4 for the parabola, so its domain is x less than 4. The closed point on the linear function indicates that when x is 4, it is part of the solution for that equation and graph. Consequently, the domain for the linear function is x greater than or equal to 4. Hope this clarifies things!
Response:
= 270 ⇒ Previous solution
Detailed breakdown:
* Given f(x) = 7 + 4x
* Given g(x) = 
* We aim to determine 
- Initially, let’s calculate 
∵ f(x) = 7 + 4x
∵ g(x) = 
∴ 
- Let’s perform division of the numerator by the denominator
∵ The numerator is 7 + 4x
∵ The denominator is 
∴ (7 + 4x) ÷ 
- Now we will change the division sign to a multiplication sign and take the reciprocal of
the fraction following the division sign
∴ (7 + 4x) × 
∴
= 2x(7 + 4x)
∴
= 14x + 8x²
- Next, substitute x with 5
∴
= 14(5) + 8(5)² = 70 + 200 = 270
∴
= 270
Respuesta:
B. Generalmente, el tamaño del zapato de un estudiante no influye en la cantidad de libros recolectados.
Explicación paso a paso:
Could you please clarify? I can't perform any calculations without knowing where this figure is and its dimensions -