Answer:
Option A. x < -4
Step-by-step explanation:
The given function is f(x) = -(x + 6)(x + 2)
General form of the function will be,
f(x) = -(x² + 2x + 6x + 12)
= -(x² + 8x + 12)
Vertex form of the function will be,
f(x) = -[x² + 2(4)x + 12]
= -[(x² + 2(4)x + 16) - 16 + 12]
= -(x + 4)² + 4
Therefore, parabola for the function above will open down with vertex (-4, 4) as shown in the graph attached.
Graph shows the function is increasing in x < -4 and decreasing in x > -4.
Therefore, Option A. is the correct answer.
The answer would be 15 4/5. This is because 9 + 6 is 15, and 5/10 + 3/10 is 8/10. We can add these two fractions together because they have the same denominator. So it would be 15 8/10, and 8/10 simplified would be 4/5(because i divided 8 and 10 by the same number until they can't be divided by a whole number anymore). So the answer would be 15 4/5, I hope this helped :)
Answer:
27.0 feet
Step-by-step explanation:
Length of an arc (s) = 2πrθ/360................. Equation 1
Where r = radius of the circle, θ = angle in degree substends by the arc at the center of the circle.
From the question,
Given: r = 9 feet, θ = 3 radian = 3 (57.2950) = 171.89°
Constant: π = 3.14
Substitute these values into equation 1
s = 2(3.14)(9)(171.89)/360
s = 9715.2228/360
s = 26.99 feet
s ≈ 27.0 feet
Answer:
5
Step-by-step explanation:
-4w+7=-10w+37
+10w +10w
=============
6w+ 7=37
-7 -7
==========
6w=30
/6 /6
w=5
Greatest common factor or GCF is the greatest factor that divides two numbers. So the get the greatest common factor of the 4k 18k and 12 you need to list the prime factors of each number then multiply both numbers have in common. So the greatest common factor of the numbers is 2
