Determine the relationship between the point (1, –5) and the given system of inequalities.

2 answers:

8 0

Algebraically, the point (1, -5) satisfies the first inequality, but it does not satisfy the second inequality because -5 is not greater than -5. Graphically, the point (1, -5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore (1, -5) is not a solution to the given system of inequalities.

Darya [45]2 years ago

4 0

Y < = 3x + 2...subbing in (1,-5)
-5 < = 3(1) + 2
-5 < = 3 + 2
-5 < = 5 (true)

y > -2x - 3...subbing in (1,-5)
-5 > -2(1) - 3
-5 > -2 - 3
-5 > -5 (false)

response : Algebraically, the point (1,-5) satisfies the first inequality, but does not satisfy the second inequality because -5 is not greater then -5.Graphically, the point (1,-5) lies in the shaded area of the first inequality but lies on the dashed line of the second inequality, which is not inclusive. Therefore, (1,5) is not a solution to the given system of inequalities.

lol...ur sample response is the correct answer for this inequality...exactly

You might be interested in

A water balloon is tossed into the air. The function h(x)=-0.5(x-4)squared +9 gives the height, in the feet, of the balloon from

NNADVOKAT [17]

Answer:

No, the maximum height that the balloon can reach is 9ft.

Step-by-step explanation:

Hi, to answer this question we have to analyze the information given:

The function h(x) =-0.5(x-4)² +9, is a Quadratic Function in the Vertex form.

Vertex form: f (x) = a(x - h) 2 + k

Where:

(h, k) is the vertex of the parabola-

h is the horizontal shift (how far left, or right, the graph has shifted from x = 0).

k represents the vertical shift (how far up, or down, the graph has shifted from y = 0).

In this case a = -0.5, it means that the parabola opens downward and has a maximum point at the vertex.

So, the maximum height that the balloon can reach is k=9ft.

9 ∠ 12

The balloon will not hit the ceiling 12 ft above the pool.

Feel free to ask for more if needed or if you did not understand something.

8 0

2 years ago

When constructing an inscribed circle, which point is the center of the circle?

lesantik [10]

Answer:

D. The intersection of the angle bisectors.

Step-by-step explanation:

The incenter is equidistant from each of the sides of the triangle. An angle bisector is the set of points equidistant from the sides, so the incenter is the place where the angle bisectors meet.

6 0

2 years ago

9. Simplify (x2 + 16)(x2 – 16) = ?

OleMash [197]

4x to the second power minus 256

5 0

2 years ago

Solve the problem c=3.14d for d

Maksim231197 [3]

Answer:

$c = 3.14d \\ d = \frac{c}{3.14}$