You have to derive for a multiplication in both terms:
=e^x+xe^x-(e^x-1 + (x-2)e^x-1) now apply distributive property in the last term:
=e^x+xe^x+e^x-1-xe^x-1 now replace each x by 0 (x=0)
=1 + 0 + e^-1 + 0 = 1+ e^-1 = 1.3679
Answer:
X = 30
Step-by-step explanation:
1) Y + X = 88
2) 58 + X = 88
-58 -58
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X = 30
660 divided by 2 and it gives you your answer of 13.2
So therefore the answer is 13.2 per hour
Answer:The answer is 42 gallons.
Step-by-step explanation:
The car traveled 180 miles on 6 gallons of gas, so it got 30 miles per gallon. So divide 1260 by 30 to find the number of gallons needed to go 1260 miles.
Answer:
The length of BC = 28 units
Step-by-step explanation:
* In triangle ABC
∵ Angles B and C are congruent
∴ m∠B = m∠C
* In any triangle if two angles are equal in measure, then the triangle is isosceles means the two sides which opposite to the congruent angles are equal in length
∴ AB = AC
∵ AB = 4x - 7
∵ AC = 2x + 7
∴ 4x - 7 = 2x + 7 ⇒ collect like terms
∴ 4x - 2x = 7 + 7
∴ 2x = 14 ⇒ divide both sides by 2
∴ x = 14 ÷ 2 = 7
* Now we can find the length of BC
∵ The length of BC = 4x ⇒ substitute the value of x
∴ The length of BC = 4 × 7 = 28 units
