x-5= 0
move -5 to the other side
sign changes from -5 to +5
x-5+5= 0+5
x= 5
x-6= 0
x-6+6= 0+6
x= 6
Answer: B. 5 and 6
60 minutes times 40 hours equals 2400 minutes
Answer: the cost of one package of macadamia nut chip cookie dough is $1.5
the cost of one package of triple chocolate cookie dough is $2.5
Step-by-step explanation:
Let x represent the cost of one package of macadamia nut chip cookie dough.
Let y represent the cost of one package of triple chocolate cookie dough.
Mrs. Julien’s class sold 25 packages of macadamia nut chip cookie dough and 30 packages of triple chocolate cookie dough for a total of $112.50. This means that
25x + 30y = 112.5 - - - - - - - - - - - - -1
Mrs. Castillejo’s class sold 8 packages of macadamia nut chip cookie dough and 45 packages of triple chocolate cookie dough for a total of $124.50. This means that
8x + 45y = 124.5 - - - - - - - - - - -2
Multiplying equation 1 by 8 and equation 2 by 25, it becomes
200x + 240y = 900
200x + 1125 = 3112.5
Subtracting, it becomes
- 885y = - 2212.5
y = - 2212.5/- 885
y = 2.5
Substituting y = 2.5 into equation 1, it becomes
25x + 30 × 2.5 = 112.5
25x + 75 = 112.5
25x = 112.5 - 75 = 37.5
x = 37.5/25 = 1.5
The method used is the elimination method. It is more convenient to use.
Answer:
She will need more because that's not enough
Step-by-step explanation:
Answer:
Step-by-step explanation:
By definition, the Absolute Value parent function has the following form:
The vertex of the graph is at the point (0,0)
It is important to remember the following transformations for a function:
If , then the function is shifted "k" units up.
If , then the function is shifted "k" units down.
If , then the function is shifted "k" units left.
If , then the function is shifted "k" units right.
Let be g(x) the function shown in the graph provided in the exercise.
You can observe that its Vertex is at the point (0,3).
Therefore, you can conclude that the function g(x) is obtained by shifting the Absolute Value parent function 3 units up.
Then, this is: