Here is the problem.....√(15x + 10) = 2x+3
to remove the square root, we do the opposite which is to square everything.
(√(15x + 10))² = (2x + 3)² (the square negates the square root)
15x + 10 = (2x +3)(2x + 3) (use the distributive property to continue)
15x + 10 = 4x² + 6x + 6x + 9 (combine like terms)
15x + 10 = 4x² + 12x + 9 (subtract 15x and 10 from each side)
-15x - 10 -15x - 10
0 = 4x² - 3x - 1 (factor completely)
(x - 1) (4x + 1) (set each to equal 0)
x - 1 = 0 4x + 1 = 0
x = 1 4x = -1
x = -1/4
place both into the equation to check for reasonableness...we see the negative number is not reasonable, but the x value of 1 is a solution.
answer is 1
Answer:
- Infinitely many solutions
Step-by-step explanation:
First, let's organize the equations of the lines into slope-intercept form.
- x + 4y = 1
- => 4y = -x + 1
- => y = -x/4 + 1/4
And,
- 2x + 8y = 2
- => 8y = -2x + 2
- => y = -2x/8 + 2/8
- => y = -x/4 + 1/4
Since both the graphs are the same, the two equations have infinitely many solutions.
Answer:
660
Step-by-step explanation:
V= l×w×h/3
V= 24×11×7.5/3
V=1 980÷3
V= 660
Dehnil has 2 tablespoons because the ratio 3:1 can go into 6 teaspoons
