Answer:
The range is [7, -infinity)
Step-by-step explanation:
Since the leading coefficient is negative and it is a degree 2 polynomial, it is a parabola opened for downwards.
X^2 + 5x = -2
x^2 + 5x + 2 = 0
x = -b (+-) sqrt (b^2 - 4ac) / 2a
a = 1, b = 5, and c = 2
x = -5 (+-) sqrt (5^2 - 4(1)(2)) / 2(1)
x = -5 (+-) sqrt (25 - 8) / 2
x = -5 (+-) sqrt (17) / 2
answer is : negative 5 plus or minus the square root of 17 divided by 2
The value of n=12
The question might be wrong but according to your question this is the right answer
In an isosceles triangle, the angles opposite to the two equal sides are also congruent.
Based on your information, T and S are congruent. So we know that the measure of angle T is 3x+7. But we need to solve for x. Let's add all the angle values together and set it to 180 because the angles of a triangle sum to 180.
1) 2(3x+7) + 2x - 2 = 180
2) 6x + 14 + 2x - 2 = 180
3) 8x + 12 = 180
4) 8x = 168
5) x = 21
6) m<T = 3x + 7 = 3(21) + 7 = 63 + 7 = 70
I got C, but it is always helpful to double check work. Hope this helps!
Answer:
David earns $10.14 per hour.
Step-by-step explanation:
David earns for an hour = $8.59
He gets benefits package that is equal to 18% of his hourly wages.
18% of 8.59
× 8.59
= 0.18 × 8.59
= $1.5462 ≈ $1.55
David's per hour earning = $8.59 + $1.55 = $10.14
David earns $10.14 per hour.