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:
1 student.
Step-by-step explanation:
Two thirds of the students preferred chocolate ice cream:
2/3 of 36 is 24 students.
One fourth of the students preferred strawberry ice cream:
1/4 of 36 is 9.
9+24= 35
<em>--------------------------------------------------------------------------------------</em>
36-35=1
Only one student preferred vanilla ice-cream.
Based on the information about the percentage, the commission that will be paid will be $3050.
<h3>How to solve percentage</h3>
From the information given, it was stated that there's a 10 percent on first $5,000 and 15% over $5,000.
The total graduate commission on $22,000 will be:
= (10% × $5000) + (15% × $17000)
= (0.1 × $5000) + (0.15 × $17000)
= $500 + $2550
= $3050
Learn more about percentages on:
brainly.com/question/24304697
Answer : yes
Explanation yes
