Answer: y = $7.50x + $25
Step-by-step explanation:
From the question, we are informed that Lucy is going to walk in a fundraising event to raise money for her school band and her mother has agreed to donate $7.50 to the school for each mile that Lucy walks, plus an additional $25.
The equation that represents y, the total amount of money Lucy's mother will donate if Lucy walks x miles during the event will be:
= ($.750 × x) + $25
y = $7.50x + $25
Since Lucy walks x Mike's, we multiply x by $7.50 and then add the answer to the additional $25 which is the answer gotten above.
Answer: x = 31
Step-By-Step:
<u>To Find x:</u>
<u />
(Angle Sum Property Of Triangles)
(Remove the brackets)
<u />
<u />
(Group Accordingly)
<u />
<u />
= 
= 
= 
= 
= 
= 
<u>Therefore</u> x = 31
So,
Angle A = x + 10 = 31 + 10 = 41
Angle B = 2*x + 20 = 2*31 + 20 = 82
Angle C = 2*x - 5 = 62 - 5 = 57
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.
Answer:
Is their an equation that can be used a reference to find the sum/difference/product/quotient to this equation?
Step-by-step explanation:
