Lets plug in the answer choices and see which one works
A. x = -6
| -6 | < 3
6 < 3
False, so A is not the answer
B. x = -5
| -5 | < 3
5 < 3
False, so B isn't the answer
C. x = -1
| -1 | < 3
1 < 3
True, so C is the answer.
But lets just check D to make sure C is the answer.
D. x = 2
| 2 | < 3
2 < 3
False, so D isn't the answer either.
C is your answer :)
Circumference
C = pi d
C = 3.14 x 10
C = 31.4 cm
Area
A = pi r^2
A = 3.14 x 5^2
A = 78.5 cm^2
Answer:
no real solutions
Step-by-step explanation:
Given a quadratic equation in standard form
ax² + bx + c = 0 : a ≠ 0
Then the nature of the roots can be determined from the discriminant
b² - 4ac
• If b² - 4ac > 0 then 2 real and distinct roots
• If b² - 4ac = 0 then 2 real and equal roots
• If b² - 4ac < 0 then no real roots
Given
n(7n + 8) = - 10 ← distribute left side
7n² + 8n = - 10 ( add 10 to both sides )
7n² + 8n + 10 = 0 ← in standard form
with a = 7, b = 8 and c = 10, thus
b² - 4ac = 8² - (4 × 7 × 10) = 64 - 280 = - 216
Since b² - 4ac < 0 the equation has no real roots
Answer:
25 + 10x
Step-by-step explanation:
First, add the base $25 from the start.
Next, add $10 per week. The number of weeks is the unknown, and is represented by x, giving 10x.
Put them together, you get 25 + 10x.
