Answer:
Laura = 14 Years
Juan = 21 years
Step-by-step explanation:
Let :
Laura's age = x
Juan's = x + 7
Product of their ages = (x) * (x + 7) = 294
x² + 7x = 294
x² + 7x - 294 = 0
x² + 21x - 14x - 294 = 0
x(x + 21) - 14(x + 21) = 0
(x + 21) = 0 or (x - 14) = 0
x = - 21 or x = 14
Age can't be negative
Hence, x = 14
Laura = 14 years
Juan = 14 + 7 = 21 = 21 years
Answer:
The answer is C.
Step-by-step explanation:
Well all you have to do is plug in X for the X, and Y for the Y.
So for C it says y= -5x+27 and you plug in (6, -3). X is 6. Y is -3. It would be
-3= -5(6) +27
-3= -30+ 27
-3= -3
5-6x=2+7x
+6x +6x
5=2+13x
-2 -2
3=13x
3/3= 13/3
x=4.33
Answer:
The first term of the sequence is:
Step-by-step explanation:
Given the sequence
aₙ = (-1)ⁿ · 3n²
substituting n = 1 to determine the first term
a₁ = (-1)¹ · 3(1)²
a₁ = (-1)¹ · 3(1)²
Applying the exponent rule:
a₁ = -1 · 3(1)
a₁ = -1 · 3
a₁ = -3
substituting n = 2 to determine the 2nd term
a₂ = (-1)² · 3(2)²
a₂ = 1 · 3(4)
a₂ = 12
substituting n = 3 to determine the 3rd term
a₃ = (-1)³ · 3(3)²
a₃ = -1 · 3(9)
a₃ = -1 · 27
a₃ = -27
substituting n = 4 to determine the 4th term
a₄ = (-1)⁴ · 3(4)²
a₄ = 1 · 3(16)
a₄ = 1 · 48
a₄ = 48
Therefore, the first term of the sequence is:
Answer:
15 ft by 35 ft
Step-by-step explanation:
15 + 15 + 35 +35
=100 ft