Option C:
The solution of inequality 2x + y < 10 is (5, –3).
Solution:
Given inequality is 2x + y < 10.
Lets substitute the given points in the inequality and find the solution.
Option A: (6, –1)
2(6) + (–1) < 10
12 – 1 < 10
11 < 10
This is false because 11 > 10.
Therefore (6, –1) is not the solution of the inequality.
Option B: (1, 10)
2(1) + (10) < 10
2 + 10 < 10
12 < 10
This is false because 12 > 10.
Therefore (1, 10) is not the solution of the inequality.
Option C: (5, –3)
2(5) + (–3) < 10
10 – 3 < 10
7 < 10
This is true.
Therefore (5, –3) is the solution of the inequality.
Option D: (5, 5)
2(5) + (5) < 10
10 + 5 < 10
15 < 10
This is false because 15 > 10.
Therefore (5, 5) is not the solution of the inequality.
Hence Option C is the correct answer.
The solution of inequality 2x + y < 10 is (5, –3).
Answer:
A
Step-by-step explanation:
x² - 4x - 5 = 0
x² - 5x + x - 5 = 0
x(x - 5) + (x -5) = 0
(x - 5)(x + 1) = 0
x - 5 = 0 ; x + 1 = 0
x = 5 ; x = -1
Answer:if the notebooks cost 3.59 and pens cost 1.49, with x representing the notebooks and y representing the number of pens and an amount of $13, the inequality would be written as 3.59x+1.49y13
Step-by-step explanation:
The volume of a piece of the cake will be 588.75 cm³.
The complete question is attached below.
<h3>What is Geometry?</h3>
It deals with the size of geometry, region, and density of the different forms both 2D and 3D.
A birthday cake in the shape of the right-circular cylinder of radius 15 cm and thickness 10 cm is cut into smaller pieces.
One of the piece is shown.
Then the volume of piece of the cake will be
V = (30 / 360) x π x 15² × 10
V = 588.75 cm³
More about the geometry link is given below.
brainly.com/question/7558603
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