I need help ASAP Someone please help me questions 7&8
1 answer:
For #7, one line should have the y-intercept of -2 and a slope of 2/3 and the other line's y-intercept is 1 and its slope should be -5.
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x
In the image provided, the red line represents 2/3x - 2 and the blue line represents -5x + 1.
8) Organize the information you are given.
*Savannah is 24 years older than Ryan.
So, Ryan's age + 24 = Savannah's age.
*Sebastian is 5 times as old as Ryan.
So, Ryan's age × 5 = Sebastian's age.
*Savannah and Sebastian are twins. They have the same age.
So, Savannah's age = Sebastian's age
Let x represent Ryan's age.
Write the equation based on the information you are given.
x + 24 = x(5)
x + 24 = 5x
Solution: D) 24 + x = 5x
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Answer: x" = 5.69
Step-by-step explanation:
The graphic solution is attached.
Verifying the solution:
Existence condition: x > 0
2x - 4 = √x + 5
√x =2x - 4 - 5
√x =2x - 9 (²)
x = (2x - 9)²
x = 4x² - 36x + 81
4x² - 36x - x + 81 = 0
4x² - 37x + 81 = 0
Δ = -37² - 4.4.81 = 1369 - 1296 = 73
x = 37 ±√73/8
x' = 3.55
x" = 5.69
checking:
2*3.55 - 4 = 3.1
√3.55 + 5 = 6.88 Its not the same ∴ 3.55 is not a solution
2*5.69 - 4 = 7.39
√5.69 + 5 = 7.39 ∴ it's the only solution
