The rule is that the angle is half the measure of the intercepted arc. So it's 110.
Answer:
Box 2 has 3 times the volume of Box 1....
Remember that the <em>domain</em> is the set of all the x terms.
So in the graph shown here, notice that the x terms seem to be increasing in both a positive and negative direction and there seems to be no limit to how large or how small the x terms can get. So the x terms can be all positive and negative numbers, including decimals and fractions.
In other words, the x terms can be All Real Numbers.
So the domain is equal to the set of all real numbers or <em>R</em>.
The range is the set of all the y terms.
Notice that all the y terms are less than or equal to 9.
So the range is {y: y ≤ 9}.
Answer:
(x + 4)(2x - 3)
Step-by-step explanation:
Given
f(x) = 2x² + 5x - 12
Consider the factors of the product of the x² term and the constant term which sum to give the coefficient of the x- term.
product = 2 × -12 = - 24 and sum = + 5
The factors are + 8 and - 3
Use these factors to split the x- term
2x² + 8x - 3x - 12 ( factor the first/second and third/fourth terms )
2x(x + 4) - 3(x + 4) ← factor out (x + 4) from each term
(x + 4)(2x - 3)
Thus
f(x) = 2x² + 5x - 12 = (x + 4)(2x - 3) ← in factored form
