Answer:
Write an equation in which the distributive property, commutative property, associative property, addition or subtraction property, and multiplication property can be used to find the solution. Then solve the equation. Justify each step.
Answer:
According to the first image, 1 cupcake costs $1.5.
So, we can use the rule of three to complete the table.
If 1 cupcake costs $1.5, 5 cupcakes would be $1.5(5)=$7.50
And 18 cupcakes would be $1.5(18)=$27.
However, $18 how many cupcakes represent?
Therefore, 12 cupcakes costs $18.
So, the table would be:
Cupcakes Prices
5 $7.50
12 $18
18 $27
Answer:
true
Step-by-step explanation:
<h3>
Answer: C. g(x) = x^4 - x^2 + 0.5</h3>
Why is this?
We start with x^4 - x^2, which is the original f(x) function. Adding some number to this result will increase the y coordinate of any point on the f(x) function. This is because y = f(x). The only thing that matches is choice C, where we shift the graph up 0.5 units. We say that g(x) = f(x) + 0.5
Choice D goes in the opposite direction, and shifts the graph down 0.5 units.
Choices A and B shift the graph horizontally to the right 0.5 units and to the left 0.5 units respectively.
Answer:
Tomorrow = 25 students
In 2 days = 44 students
In 40 days = 40 students
Step-by-step explanation:
Let A = watch more than an hour
B = watch less than an hour
First of all we need to make a transition matrix
Also we are given,
X = [100, 100]
A B
Therefore,
= [25, 175]
Thus, 25 students will watch television for an hour or more tomorrow.
Now for 2 days,
= [43.75, 156.25]
Hence, 44 students will watch television for an hour or more in 2 days.
Now in 40 days,
But instead of multiplying the above matrix 40 times, we can we can find the long term division method.
Let
x = long term distribution of students watching television >1 hour
y = long term distribution of students watching television <1 hour
Therefore,
⇒ 0.25 y = x
And we know that x + y = 200
∴ 0.25 y + y = 200
∴ y = 160
And x = 40 ( ∵ x + y = 200)
Thus 40 students will watch televisions in the 40 days for an hour or more.