The point (-2, 5) is not included in the solution area
<h3>The graph of the inequalities</h3>
The system of inequalities is given as:
y > 5x + 5
y > -2x+1
See attachment for the graph.
Since the inequalities use the greater than symbol, then the lines of the inequalities would be a dotted line and the upper part would be shaded
<h3>The solution area</h3>
The point is given as:
(-2, 5)
The point (-2, 5) is not in the shaded area of the system of inequalities
Hence, the point is not included in the solution area
Mathematically, we have:
5 > 5 * -2 + 5 ⇒ 5 > -5 --- true
5 > -2 * -2 +1 ⇒ 5 > 5 --- false
Since both inequalities are not true, then the point is justified
Read more about system of inequalities at:
brainly.com/question/19526736
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We have:
(30x²+23x+16)/(cx+3) - 13/(cx+3) = 6x+1
(30x²+23x+16 - 13)/(cx+3) = 6x+1
(30x²+23x+3)/(cx+3) = 6x+1
30x²+23x+3 = (cx+3)(6x+1)
30x²+23x+3 = 6cx²+cx+18x+3
30x² + 23x + 3 - 6cx² - cx - 18x - 3 = 0
(30 - 6c)x² +(5 - c)x = 0
6(5 - c)x² +(5 - c)x = 0
(5 - c)(6x² +x) = 0, and x∈ R\ {3/c} ⇒ 5 - c = 0 ⇒ c = 5.
Answer:
a)
T` {-4,-2}
R` {2,8}
S` {-9,4}
Step-by-step explanation:
x, y → y,x
Answer:
the maximum height of the water is 7 ft
Step-by-step explanation:
Using " ^ " to indicate exponentiation, we have −4x^2 + 24x − 29.
Rewrite -4x^2 + 24x as -4(x^2 - 6x) and then complete the square of (x^2 - 6x). We get:
(x^2 - 6x + 9 - 9), which is exactly equivalent to (x^2 - 6x).
Going back to the original equation: −4x^2 + 24x − 29, or
−4(x^2 - 6x) − 29.
Now replace (x^2 - 6x) with (x^2 - 6x + 9 - 9):
-4(x^2 - 6x + 9 - 9) - 29, which simplifies to:
-4(x - 3)^2 + 36 - 29, or
-4(x - 3)^2 + 7, whose vertex is (3, 7). Thus, the maximum height of the water is 7 ft.
