k = 13The smallest zero or root is x = -10
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Steps:
note: you can write "x^2" to mean "x squared"
f(x) = x^2+3x-10
f(x+5) = (x+5)^2+3(x+5)-10 ... replace every x with x+5
f(x+5) = (x^2+10x+25)+3(x+5)-10
f(x+5) = x^2+10x+25+3x+15-10
f(x+5) = x^2+13x+30
Compare this with x^2+kx+30 and we see that k = 13
Factor and solve the equation below
x^2+13x+30 = 0
(x+10)(x+3) = 0
x+1 = 0 or x+3 = 0
x = -10 or x = -3
The smallest zero is x = -10 as its the left-most value on a number line.
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<em><u>Hope this helps.</u></em>
Without LCD :
1/2(4x + 6) = 1/3(9x - 24)
2x + 3 = 3x - 8
2x - 3x = -8 - 3
-x = - 11
x = 11
with LCD :
1/2(4x + 6) = 1/3(9x - 24) ...multiply by 6
3(4x + 6) = 2(9x - 24)
12x + 18 = 18x - 48
12x - 18x = -48 - 18
-6x = - 66
x = -66/-6
x = 11
Yes, the answers are the same :)
The answer would be 7x+ 17
Answer:
(-2, 1)
Step-by-step explanation:
Systems of equations can be solved using different methods. For this set of systems, you can multiply each equation by a factor in order to eliminate a variable and solve for the other variable:
-3(-5x - 3y = 7) or 15x + 9y = -21
5(-3x - 4y = 2) or <u>-15x -20y = 10</u>
-11y = -11
y = 1
Solve for x: -5x - 3 = 7
Add 3 to both sides: -5x -3 + 3 = 7 + 3 or -5x = 10
Solve for x: x = -2
(-2, 1)
3x=18 because you add the like terms 6 and 12
