Answer:
It will take them 5 hours to make 180 cupcakes
Step-by-step explanation:
17 + 19 = 36 x 5 = 180
Answer:
all real numbers greater than or equal to -1
Step-by-step explanation:
In order to solve this problem we need to know the vertex and the direction its pointing.
First we expand,
x^2-6x+8
To find the x value of the vertex we use this formula (-b/2a).
-(-6)/2(1) = 3
Now we plug 3 in the equation to get the y value,
(3)^2 - 6(3) + 8 = 9 - 18 + 8 = -1
The vertex is (3,-1)
We know the graph points up because x^2 is positive
The vertex is the lowest point, so we now know that -1 is the starting range and if the graph is pointing up, that means all values greater than -1.
This leads to our answer all real numbers greater than or equal to -1.
Answer:
In finding the sum of 2+5 you would go right on the number line, while in finding the sum of -2+(-5) you would go left on the number line
Step-by-step explanation:
Answer:
This question requires a comparison between two different variables 6% and 16% values. If we let x=$ loaned on 6% loans and y=$ loaned on 16% loans, then we can relate two equations.
0.06x + 0.16y = $1500 --> referencing the interest earned from each percentage loaned.
x + y = $16000 --> referencing the total amount of money loaned out.
Rearrange either equation and substitute for a value in the other equation or use elimination to determine each individual variable.
Step-by-step explanation:
Answer:
Step-by-step explanation:
Subtract x on both sides

Divide both sides by 3

To find the y-intercept, let x = 0
y = 0, therefore the function crosses the y-axis at the origin.
To find the x-intercept, let y = 0
x = 0, therefore the function crosses the x-axis at the origin too.
The slope of the function is -1/3, from the origin, go down 1 and right 3