The correct answer is B.
In order to prove which of the function rules provided is the one corresponding to the schedule represented by the table, the different y-values need to be sustituted in the function rules. <u>Only the correct function rule will yield the corresponding x-value. </u>
<u>Let's prove that option B is the correct one</u>
FUNCTION B y= 5x - 14
- If x= -4 --> substituting: 5(-4) - 14= -20 - 14= -34 therefore, y= -34 <u>CORRECT</u>
- If x= -1 --> 5(-1)-14 = -5 - 14= -19 therefore y= -19 <u>CORRECT</u>
- If x= 2 --> 5(2) - 14= 10-14= -4, therefore y= -4 C<u>ORRECT</u>
- If x= 4 --> 5(4)-14= 20-14= 6, therefore y=6<u> CORRECT</u>
- If x= 7 --> 5(7) -14= 35-14= 21, therefore y=21 <u>CORRECT</u>
Answer:
y = -4x - 1
Step-by-step explanation:
k(x) = -4x - 1
replace k(x) with y
y = -4x - 1
If x is a real number such that x3 + 4x = 0 then x is 0”.Let q: x is a real number such that x3 + 4x = 0 r: x is 0.i To show that statement p is true we assume that q is true and then show that r is true.Therefore let statement q be true.∴ x2 + 4x = 0 x x2 + 4 = 0⇒ x = 0 or x2+ 4 = 0However since x is real it is 0.Thus statement r is true.Therefore the given statement is true.ii To show statement p to be true by contradiction we assume that p is not true.Let x be a real number such that x3 + 4x = 0 and let x is not 0.Therefore x3 + 4x = 0 x x2+ 4 = 0 x = 0 or x2 + 4 = 0 x = 0 orx2 = – 4However x is real. Therefore x = 0 which is a contradiction since we have assumed that x is not 0.Thus the given statement p is true.iii To prove statement p to be true by contrapositive method we assume that r is false and prove that q must be false.Here r is false implies that it is required to consider the negation of statement r.This obtains the following statement.∼r: x is not 0.It can be seen that x2 + 4 will always be positive.x ≠ 0 implies that the product of any positive real number with x is not zero.Let us consider the product of x with x2 + 4.∴ x x2 + 4 ≠ 0⇒ x3 + 4x ≠ 0This shows that statement q is not true.Thus it has been proved that∼r ⇒∼qTherefore the given statement p is true.
34 x 47 = 1598 so that’s the range
Answer:
If your trying to simplify then your answer would be 
