Answer:
x = 2.98
Step-by-step explanation:
5^2x + 1 - 5^2x = 150
25x + 1 + 25x = 150
50x + 1 = 150
50x = 149
x = 2.98
5^2x + 1 - 5^2x = ?
5^2(2.98) + 1 - 5^2(2.98) = ?
25(2.98) + 1 + 25(2.98) = ?
74.5 + 1 + 74.5 = ?
149 + 1 = ?
150 = ?
Answer:
a) Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
b) The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
98 square feet
Step-by-step explanation:
The area in, square feet, of Shawn’s garden is found be calculating 15(2x + 7). Shawn incorrectly says the area can also be found using the expression 30x + 7.
The correct area =
15(2x + 7).
= 30x + 105 square feet
The error in Shawn’s expression is
= 15(2x + 7)
= 30x + 7 square feet
Shawn's error was that he Multiplied 15 by 2x only. He didn't Multiply 15 by 7
The difference, in square feet, between the actual area of Shawn’s garden and the area found using his expression is given as
30x + 105 square feet - 30x + 7 square feet
= 30x + 105 - (30x + 7)
= 30x - 30x + 105 - 7
= 98 square feet
Answer:
Step-by-step explanation:
Answer:
See below ~
Step-by-step explanation:
Finding t₁₂ :
⇒ t₁₂ = t₁ + 11d
⇒ t₁₂ = 6 + 11(2)
⇒ t₁₂ = 6 + 22
⇒ t₁₂ = 28
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Finding S₁₂ :
⇒ S₁₂ = 12/2 × 2t₁ + (12 - 1)d
⇒ S₁₂ = 6 × 2(6) + 11(2)
⇒ S₁₂ = 6 × 12 + 22
⇒ S₁₂ = 6 × 34
⇒ S₁₂ = 204
