Answer: A. The sequence is arithmetic and has a common difference of 10.
Step-by-step explanation:
-8 +10=2
2+10= 12
12+10 =22
The all have a common difference of 10.
Answer:
x = 3 or -7
Step-by-step explanation:
Recall that for a quadratic equation in the form:
Ax² + Bx = C
we need to add (B/2)² to both sides of the equation to
In our case, we are given:
x² + 4x = 21
compared to the general equation above, B = 4, hence we need to add (4/2)² to both sides
x² + 4x = 21 (complete the square)
x² + 4x + (4/2)² = 21 + (4/2)²
x² + 4x + 2² = 21 + 2²
(x+ 2)² = 21 + 4
(x+ 2)² = 25 (take square root of both sides)
(x+2) = ±√25
(x+2) = ±5
hence
(x+2) = +5----> x = 5 - 2 = 3 (answer)
or
(x+2) = -5 ----> x = -5 - 2 = -7(answer)
Answer:
79 years old
Step-by-step explanation:
Let's say your age is x.
The problem says "500 reduced by 4 times my age is 184", so we convert this to math:
- "4 times my age" ⇒ 4 * x = 4x
- "500 reduced by" ⇒ 500 - (something)
- "500 reduced by 4 times my age" ⇒ 500 - 4x
- "is 184" ⇒ = 184
- "500 reduced by 4 times my age is 184" ⇒ 500 - 4x = 184
Now, we simply solve for x:
500 - 4x = 184
4x = 500 - 184 = 316
x = 79
Thus, you are 79 years old.
Hope this helps!