Answer:
First question (first two pictures): The answer is the option on the second page, at the bottom.
Second question (last three pictures): The answer is A.
Step-by-step explanation:
Answer:
Step-by-step explanation:
To write the quadratic in standard form, begin by writing it in vertex form
Where (h,k) is the vertex of the parabola.
Here the vertex is (-3,-1). Substitute and write:
To find a, substitute one point (x,y) from the parabola into the equation and solve for a. Plug in (-2,0) a x-intercept of the parabola.
The vertex form of the equation is .
To write in standard form, convert vertex form through the distributive property.
3x+3y +2(2x-y) matches up with 7x+y
x-4x+6y+ (14x-5y) matches up with 11x+y
(5x-3y) -x+3x-5y matches up with 7x-8y
5(x+y) +6(x-y) matches up with 11x-y
Answer: The inequality is x/3 4 and x 12
Step-by-step explanation:
The quotient of x and 3 is the same as x/3 and the at most sign is less than or equal to. x/3 has to be less than or equal to 4 which can be represented by the inequality,
x /3 ≤ 4 Solve for x by multiplying both sides by 3.
x ≤ 12