Algebra-Please check

posted by .

5 - sqrt of 20x + 4 >= -3
5- 20x + 4 >= -3
5-4 - 20x >= -3
1 - 20x >= -3-1
-20x >= -4
x<= -15

Possible answers are
x<=3
-1/5 <= x<= 3
x >= -1/5
x >= 0

I think it is -1/5<=x<=3
because both solutions work

  • Algebra-Please check -

    I hate to say this, but each of your lines from

    5- 20x + 4 >= -3
    5-4 - 20x >= -3
    1 - 20x >= -3-1
    -20x >= -4
    x<= -15

    contains an error based on its previous line

    First of all , if the question is
    5 - √(20x + 4) >= -3 , then
    √(20x+4) ≤ 8

    consider the equation

    √(20x+4) = 8
    square both sides
    20x+4 = 64
    x = 3

    so we have the region > 3 and the region < 3

    A quick mental consideration in √(20x+4) ≤ 8 will show that only numbers ≤ 3 could work.

    finally the inside of the square root cannot be negative,
    that is,
    20x + 4 ≥0
    x ≥ -4/20
    x ≥ -1/15

    so x has to be between -1/5 and 3 , or

    -1/5 ≤ x ≤ 3

  • Algebra-Please check -

    Thank you

Respond to this Question

First Name
School Subject
Your Answer

Similar Questions

  1. Algebra

    Can someone tell me if I am right? Factor by group 20x^2-12x=15x-9 20x^2+3x+9 (4x+3)(5x-3) answer
  2. algebra

    I was wondering if my answer is right. Let f (x)=(x+10)^2. Find x so that f(x)=72 (x+10)^2=72 x^2+20x+100=72 x^2+20x+28=0 x=(-20+-sqrt(400-112))/2 x=-10+6*sqrt(2)
  3. math

    5(3+4x)-6>=129 I get 2 different answers on this one. 15+20x-6>=129 15+20x-6+6>=129+6 15+20x>=135 15-15+20x>=135-15 20x>=120 20x/20>=120/20 x>=6 Is this worked out properly, are there any shortcuts?
  4. Microbiology

    You need 3.5L of 50mM NaCl from your 20X stock. How would you accomplish this: 20X stock __________ml Pure Water ___________ml From whatever number I plugged in trying to solve it, I got: 175ml of 20X stock and 3,430ml of Pure Water. …
  5. algebra

    Find the product (2x)(10x) Answers: 20x 12x 20x^2 5x
  6. Math

    Find the intersection of two lines. i have the answer just please tell me how it was made 4x-3y-4=0 , 4x+2y+5=0 -5y/-5 = 9/-5 y= 9/5 4x-3(-9/5)-4=0 5(4x+27/5-4=0) 20x+27-20=0 20x+7=0 20x/20=-7/20 x=-7/20 (-7/20, -9/5
  7. Algebra 2

    The function f(x) = -5x. The graph of g(x) is f(x) vertically compressed by a factor of 1/4 and reflected in the x axis. What is the function rule for g(x)?
  8. algebra

    Please correct,if necessary, and simplify using long division: (-72-4x^2+8x^3-36x) devided by (x-3). My solution: 8x^2+20x+24 ------------------- 8x^3-4x^2-36x-72 8x^3-24x^2 ------------------ 20x^2-36x-72 20x^2-60x ----------------------- …
  9. Trig

    Find the derivative using the product rule. {sqrt(x+8)}*(x^2+20x) (x+8)^1/2(2x+20) minus (1/2)(x+8)^-1/2(x^2+20x) I'm not feeling confident I am on the right track and I have a quiz tomorrow over this.
  10. Trig

    Find the derivative. {sqrt(x+8)}*(x^2+20x) (x+8)^1/2(2x+20) minus (1/2)(x+8)^-1/2(x^2+20x) I'm not feeling confident I am on the right track and I have a quiz tomorrow over this.

More Similar Questions