Answer:
x<15, probably
Step-by-step explanation:
maybe multiply 2 to each side to eliminate the fraction. so 3x+15<60. subtract 15 to isolate the variable term so 3x<45. divide by 3 to isolate x so x<15. check the work. is the inequality true for all values of x less than 15? let's try the first possible integer value, 14, to be sure. 3(14)+15= 57. so 57/2<30. now 57/2 is 28.5 and 28.5<30 so it seems right
Answer:
x > -3
![\sf (-3, \infty)](https://tex.z-dn.net/?f=%5Csf%20%28-3%2C%20%5Cinfty%29)
Step-by-step explanation:
Domain: input values (x-values)
Monotonic increasing: always increasing.
A function is increasing when its graph rises from left to right.
The graph of a quadratic function is a parabola. If the leading term is positive, the parabola opens upwards. The domain over which the function is increasing for a parabola that opens upwards is values greater than the x-value of the vertex.
<u>Vertex</u>
Standard form of quadratic equation: ![\sf y=ax^2+bx+c](https://tex.z-dn.net/?f=%5Csf%20y%3Dax%5E2%2Bbx%2Bc)
![\textsf{x-value of vertex}=\sf -\dfrac{b}{2a}](https://tex.z-dn.net/?f=%5Ctextsf%7Bx-value%20of%20vertex%7D%3D%5Csf%20-%5Cdfrac%7Bb%7D%7B2a%7D)
Given function:
![\sf y=x^2+6x](https://tex.z-dn.net/?f=%5Csf%20y%3Dx%5E2%2B6x)
Therefore, x-value of function's vertex:
![\sf \implies x= -\dfrac{6}{2}=-3](https://tex.z-dn.net/?f=%5Csf%20%5Cimplies%20x%3D%20-%5Cdfrac%7B6%7D%7B2%7D%3D-3)
<u>Final Solution</u>
The function is increasing when x > -3
![\sf (-3, \infty)](https://tex.z-dn.net/?f=%5Csf%20%28-3%2C%20%5Cinfty%29)
Answer:
88 inches
Step-by-step explanation:
We are finding the perimeter of the stop sign, therefor we have to either multiply or add the value of 11. Since this sign is an octagon we will have to multiply by eight or add 11 eight times. This will give you an answer of 88 inches.
The measure to angle X is 44
Here is the answer. Just click on the photo below. Hope this helps!