From the graph,

But this one is inequality so you gotta remember this:
When y > x/2+2
- The shade/region is above the graph itself.
When y < x/2+2
- The shade/region is below the graph.
Therefore, the inequality as shown in the picture is

Answer:
Step-by-step explanation:
Equation of the function is,
f(x) = 2x² + 20x + 54
To convert the function in the form of f(x) = a(x - h)² + k
f(x) = 2(x² + 10x) + 54
= 2[x² + 2(5x) + 25 - 25] + 54
= 2[x² + 2(5x) + 5²] + 54 - 50
= 2(x + 5)² + 4
= 2[(x - (-5)]² + 4
Vertex of the quadratic equation (parabola) will be (-5, 4)
Therefore, f(x) has a minimum value at x = -5,
f(-5) = 4
"The function f(x) has a minimum value of 4, which occurs when x = 5"
Answer:
solution is

Step-by-step explanation:
we are given inequality as

Firstly, we will simplify it



now, we can subtract both sides by 6


now, we can divide both sides by 16
and we get


so, solution is

Answer:
C
Step-by-step explanation:
can I be brainliest?
Answer:
The first number is 138.
Step-by-step explanation:
Let the first number be <em>x.</em>
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Then since they are consecutive numbers, the second number will be (<em>x</em> + 1), the third (<em>x</em> + 2), the fourth (<em>x</em> + 3) and the fifth being (<em>x</em> + 4).
We are given that their sum is 700. Therefore:

Solve for <em>x</em>. Combine like terms:

Subtract 10 from both sides:

Divide both sides by five. Therefore:

The first number is 138.