Answer:
The graph is attached Below and the plotting is given below.
Step-by-step explanation:
Given:
-9x + 6y = 18
Solution:
To draw a line on a graph the required minimum two points but here we will have three points as point A, point B, and point C.
For point A
Put x = -4 in the given equation we get
-9×-4 + 6y = 18
6y = 18-36
∴ 
∴ Point A ≡ ( -4, -3 ).
For point B
Put x = -2 in the given equation we get
-9×-2 + 6y = 18
6y = 18 - 18
6y = 0
∴ 
∴ Point B ≡ ( -2, 0 ).
For point C
Put x = 0 in the given equation we get
-9×0 + 6y = 18
6y = 18
∴ 
∴ Point C ≡ ( 0, 3 ).
Now we have Point A ,B and C join it and you will have Line.
Answer:
Step-by-step explanation:
See the attached figure.
y₁ = 25x and y₂ =x²
The intersection between y₁ and y₂
25x = x²
x² - 25x = 0
x(x-25) = 0
x = 0 or x =25
y = 0 or y =25² = 625
The points of intersection (0,0) and (25,625)
To find the volume of the solid obtained by rotating about the y-axis the region bounded by y₁ and y₂
y₁ = 25x ⇒ x₁ = y/25 ⇒ x₁² = y²/625
y₂ =x² ⇒ x₂ = √y ⇒ x₂² = y
v = ∫A(y) dy = π ∫ (x₂² - x₁²) dy
∴ V =
The inequality that represents this equation is 8x + 30y ≥ 200
<h3>
Inequality</h3>
Inequality is an expression used to show the non equal comparison of two or more variables and numbers.
Let x represent the number of chocolate popsicles and y represent the number of strawberry popsicles.
Chocolate popsicles are sold in packs of 8. Strawberry popsicles are sold in packs of 30. Since they need at least 200 popsicles:
8x + 30y ≥ 200
The inequality that represents this equation is 8x + 30y ≥ 200
Find out more on Inequality at: brainly.com/question/22354790
Answer:
The period is 
and the amplitude is 3.
Step-by-step explanation:
The period goes from one peak to the next (or from any point to the next matching point). The amplitude is the height from the center line to the peak.
The period of the function 
is 
and the amplitude is 
Consider the function 
The period for the function 
is
and the amplitude is 3.
True, because the bisector of an angle only has one endpoint (the vertex of the angle) but is still a infinite line.
