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kykrilka [37]
3 years ago
11

3. Which of the following points satisfies the inequality y > 5x – 2?

Mathematics
2 answers:
lions [1.4K]3 years ago
5 0

Answer:

b

Step-by-step explanation:

GREYUIT [131]3 years ago
5 0

Answer:

Step-by-step explanation:

to satisfy the inequality then the point needs to make the inequality true

y > 5x -2

for (x=3, y=11) we have, 11 >5*3 -2 ; 11 > 13 false

for (x=2, y=10) we have, 10 >5*2 -2; 10 > 8 true

for (x=1, y= -1) we have -1 > 5*1 -2 ; -1 > 3 false

for (x= -3, y= -17) we have , -17 > 5* -3 -2 ; -17 > -17 false

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yan [13]

Answer:

the money spent by a buyer to purchase a product

6 0
3 years ago
Read 2 more answers
Write the integral in one variable to find the volume of the solid obtained by rotating the first-quadrant region bounded by y =
Dovator [93]

Answer:

V = π ∫₀² (y² − 8y + 6√(2y)) dy

or

V = π ∫₀² (6x − 5x² + x³) dx

Step-by-step explanation:

y₁ = 0.5x²

y₂ = x

First, find the intersections of the curves.

0.5x² = x

x² = 2x

x² − 2x = 0

x (x − 2) = 0

x = 0 or x = 2

So the points of intersection are (0, 0) and (2, 2).

When we revolve this region about the line x = 3, we get a hollow shape that looks like an upside-down funnel, or a volcano.

One option is to use washer method to find the volume, by cutting a thin horizontal slice of thickness dy, inner radius 3−x₁ = 3−√(2y), and outer radius of 3−x₂ = 3−y.

V = ∫₀² π [(3−y)² − (3−√(2y))²] dy

V = ∫₀² π (9 − 6y + y² − 9 + 6√(2y) − 2y) dy

V = π ∫₀² (y² − 8y + 6√(2y)) dy

Another option is to use shell method to find the volume, by cutting a thin vertical slice of thickness dx, radius 3−x, and height y₂−y₁ = x−0.5x².

V = ∫₀² 2π (3 − x) (x − 0.5x²) dx

V = ∫₀² 2π (3x − 1.5x² − x² + 0.5x³) dx

V = ∫₀² 2π (3x − 2.5x² + 0.5x³) dx

V = π ∫₀² (6x − 5x² + x³) dx

The second option is arguably easier to evaluate, but either one will get you the same answer (V = 8π/3).

7 0
3 years ago
On top of a hill, a rocket is launched from a distance 80 feet above a lake. The rocket will fall into the lake after its engine
Free_Kalibri [48]
The maximum height is 144 feet.

The maximum height is the y-coordinate of the vertex.  To find the vertex, we first use x = -b/2a.  For our information, that is x=-64/2(-16) = -64/-32 = 2.

Now we substitute this into the equation:
y = -16(2²) + 64(2) + 80 = -64 + 128 + 80 = 144
3 0
3 years ago
What value (s) of x will make x2= 16 true?
Nata [24]

Answer:

There are two solutions to this problem.

x=4

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x=-4

Step-by-step explanation:

4 0
3 years ago
Which expression is in simplest form?
mixas84 [53]

Answer:

The answer is simply A. (3 cube root 8)

Step-by-step explanation:

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Hope this helps! :)

6 0
3 years ago
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