Answer:
t = 3.46 hours, or 3 hours 28 minutes
Step-by-step explanation:
78 dozen donuts in 2 hours immediately reduces to 39 dozen/hour.
Donuts produced as a function of time: D(t), where t is the number of hours the macine runs.
Set D(t) = 135 dozen = (39 dozen/hr)t.
Solving this equation for t, we get:
t = 135/39 hours, or t = 3.46 hours, or 3 hours 28 minutes
Answer:
The answers for your two problems, can be found below in the attached images.
Problem 1
Graph
The graph was plotted using a calculator. We can see that the graph opens up.
f(x) = x^2 + 4x +3
Vertex
The vertex is the minimum point of the equation
In this case Vertex (V) = (-2,-1)
Axis of symmetry
The x axis corresponding to the vertex component
x = -2
y intercept
Interception with the y-axis
From the first attached image, we can see that they y intercept occurs
at x = 0, y = 3
(0,3)
Problem 2
Graph.
The graph was plotted using a calculator. We can see that the graph opens up.
f(x) = 2x^2 + 3x +1
Vertex
The vertex is the minimum point of the equation
In this case Vertex (V) = (-0.75,-0.125)
Axis of symmetry
The x axis corresponding to the vertex component
x = -0.75
y intercept
Interception with the y-axis
From the second attached image, we can see that they y intercept occurs
at x = 0, y = 1
(0,1)
Answer:
B
Step-by-step explanation:
From the given information:
Sienna has $8 denotes the unit blocks of x tiles. So, she saved $3 per week.
This implies that:
8x + 3(1) = 8x + 3
Also,
If Jacob as well had $6 which implies 6x unit block of tiles while he saved $4;
i.e.
6(x) + 4(1) = 6x + 4
So;
the model that can determine when Sienna will have the same amount as Jacob is:
8x + 3 = 6x + 4
(7 3/4 mi/h)*(2 2/3 h) = 20 2/3
Todd rode 20.667 miles.
_____
A calculator that works with mixed numbers is a handy thing.
Answer:
1
Step-by-step explanation:
There is one whole 3 inside of 4 1/2 or 4.5.
Multiples of 3 are 3x1=3 3x2=6....
Only a single whole 3 can be inside of 4.5.