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weeeeeb [17]
2 years ago
13

Solve: 10(1 + 3y) = 20 What does y equal? Y =

Mathematics
1 answer:
marin [14]2 years ago
6 0

Answer:

y = 1/3 ≈ 0.3

hope this helps! :)

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Which system of inequalities is represented by the graph?
timofeeve [1]

Answer:

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4 " is represented by the graph ⇒ D

Step-by-step explanation:

To find the answer let us find the equation of each line

Blue line:

∵ The line passes through points (5 , 0) and (0 , 2.5)

- Find the slope of the line

∵ m = Δy/Δx

∴ \frac{0-2.5}{5-0}=\frac{-2.5}{5}

∴ m = -0.5

- The form of the equation is y = m x  + b, where b is the

   y-intercept (value y at x = 0)

∵ y = 2.5 at x = 0

∴ b = 2.5

- Write the equation of the line

∴ y = - 0.5 x + 2.5

- Multiply both sides by 2

∴ The equation of the blue line is 2 y = - x + 5

- The shading is under the line and the line is solid, that means

  2 y is less than or equal - x + 5

∴ The inequality of the blue line is 2 y ≤ - x + 5

Red line:

∵ The line passes through points (3 , -5) and (0 , 4)

- Find the slope of the line

∴ m=\frac{-5-4}{3-0}=\frac{-9}{3}

∴ m = -3

∵ y = 4 at x = 0

∴ b = 4

- Write the equation of the line

∴ y =  -3 x + 4

∴ The equation of the red line is y = -3 x + 4

- The shading is below the line and the line is solid, that means

  y is less than or equal -3 x + 4

∴ The inequality of the red line is y ≤ -3 x + 4

Let us find which answer is the same with this system of inequalities

∵ 2 y ≤ - x + 5

- Add x to both sides

∴ x + 2 y ≤ 5 ⇒ same as the first inequality of answer D

∵ y ≤ -3 x + 4

- Add 3 x to both sides

∴ 3 x + y ≤ 4 ⇒ same as the second inequality of answer D

The system of inequalities " x + 2 y ≤ 5 and 3 x + y ≤ 4" is represented by the graph

4 0
3 years ago
Is t = 9 a solution to the inequality below?<br><br> 8
dexar [7]

Answer:

no

Step-by-step explanation:

threr is no 9

7 0
2 years ago
Factor 4b^2 - 9<br><br> A, (4b+3)(b-3) <br> B, (2b+3)(2b-3)<br> C,(2b-4)(2b-5)
andrey2020 [161]
The correct answer is B)
Hope this helps!
7 0
3 years ago
Read 2 more answers
What is the sum of x2-3x+7 and 3x2+5x-9
Ghella [55]
(x² - 3x + 7) + (3x² + 5x - 9)
(x² + 3x²) + (-3x + 5x) + (7 - 9)
4x² + 2x - 2
5 0
3 years ago
The sum of the ages of two people is 32. The difference is their ages is 4. What is the age of the younger person ?
Gala2k [10]
I believe the answer is 12
5 0
2 years ago
Read 2 more answers
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