Answer:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
Step-by-step explanation:
A piecewise function is a function that behaves differently in diferent intervals of it's domain.
We know that 1lb of candy costs $3.45
But if you buy 4 lb or more, the cost of each lb is $3.00
Then if x represents the number of pounds of candy that you buy, we have the equation:
y = x*$3.45 if 0 ≤ x < 4
y = x*$3.00 if 4 ≤ x
Answer: x=4 and BC=20
STEPS:
Set the equation for AC and DF equal to each other then solve for x.
2x+7=5x-5
Eliminate the -5 by adding it to both sides.
2x+12=5x
Move the x to one side by subtracting 2x from both sides.
12=3x
Isolate the x by dividing both sides by 3
4=x
EF=5x which means BC=5x
5(4)= 20
So BC= 20
Answer:
Part 1) Is a cubic expression
Part 2) The quadratic expression is 12x² + 8x − 1
Step-by-step explanation:
Part 1) Classify the expression: 5x³ + 2x − 3
we know that
Polynomials can be classified two different ways - by the number of terms and by their degree.
so
a) <u>By the number of terms</u> is a trinomial, because has three terms
b) <u>By their degree</u> The degree of the polynomial is found by looking at the term with the highest exponent on its variable
The highest exponent is 3 so this is a 3rd degree trinomial
therefore
Is a cubic expression
Part 2) Choose the expression that represents a quadratic expression
we know that
If the expression is a quadratic equation , then the highest exponent of the variable is 2
therefore
The quadratic expression is 12x² + 8x − 1
