Answer:
The answer is 3 , 1 , 2 .
Step-by-step explanation:
I will give an example.
e.g.
x² + 3x + 2
Step 3 :
Set the equation equal to zero :
x² + 3x + 2 = 0
Step 1 :
Completely factor the equation :
x² + x + 2x + 2 = 0
x(x+1) + 2(x+1) = 0
(x+2)(x+1) = 0
Step 2 :
Set each factor equal zero and then solve for the variable :
(x+2)(x+1) = 0
x + 2 = 0
x = -2
x + 1 = 0
x = -1
Answer:
The answer is yes.
Step-by-step explanation:
All you have to do is substitute the y, which is 5, and the x, which is 2, into the equation. When you solve it the answer in the end will be 5=5, which means that point (2,5) does line on that line.
Answer:
y = 2(x + 3)² - 4
Step-by-step explanation:
The equation of a parabola in vertex form is
y = a(x - h)² + k
where (h, k) are the coordinates of the vertex and a is a multiplier
Using the method of completing the square
y = 2x² + 12x + 14 ← factor out 2 from the first 2 terms
= 2(x² + 6x) + 14
To complete the square
add/subtract ( half the coefficient of the x- term)² to x² + 6x
y = 2(x² + 2(3)x + 9 - 9 ) + 14
= 2(x + 3)² - 18 + 14
= 2(x + 3)² - 4 ← in vertex form
Answer:
babysitting = $9
working at coffeehouse = $12
x = hours for babysitting
y = hours at coffeehouse
minimum = ≥
9x + 12y ≥ 240
Step-by-step explanation:
just a short note on which symbol you should use when you see these words in inequality questions:
i) use ≥
-more than or equal to
-not less than
-at least
-minimum
ii) use >
-more than
-greater than
iii) use ≤
-less than or equal to
-not more than
-at most
-maximum
iv) use <
-less than
