Let's solve your inequality step-by-step. <span><span><span>−<span>5x</span></span>+20</span><5</span>
<span />Step 1: Subtract 20 from both sides. <span><span><span><span>−<span>5x</span></span>+20</span>−20</span><<span>5−20</span></span><span><span>−<span>5x</span></span><<span>−15</span></span>
<span><span /></span>Step 2: Divide both sides by -5.<span><span><span><span><span> −<span>5x</span></span><span>−5</span></span></span></span><<span><span><span><span>−15</span><span>−5</span></span></span></span></span><span>x>3</span>
Answer: <span>x><span>3</span></span>
N³ - 2n² - 15n = 0
"n"
n (n² + 2n - 15) = 0
n = 0
n² + 2n - 15 = 0
Δ = (2)² - 4(1)(-15)
Δ = 4 + 60 = 64
n' = (-2+8) / 2 = 6/2 =3
n'' = (-2-8) / 2 = -10/2 = -5
Solution:
S {-5 , 0 , 3 }
Answer:
Slope: -2/3
Y Intercept: 0,-3
Step-by-step explanation:
To find the slope, use the formula (y1-y2)/(x1-x2)
(1-(-1))/(-6-(-3))
-2/3
So the slope is: -2/3
If the slope is 3/2, then the using the formula of y=mx+b, we can find the y intercept (b)
y = -2/3x + b
insert any point of x and y
-1 = -2/3(-3)+b
-1=-2+b
so b = -3
thus, the Y intercept is 0,-3
See graph attached for graph
Answer:
Step-by-step explanation:
2my - my = 1my (1 can also be omitted).
First, let's factor 3x²-8x+2
Looking at wee can see that the first term is and the last term is <span> where the coefficients are 3 and 2 respectively.
Now multiply the first coefficient 3 and the last coefficient 2 to get 6. Now what two numbers multiply to 6 and add to the middle coefficient -8? Let's list all of the factors of 6:
Factors of 6:
1,2,3,6
-1,-2,-3,-6 ...List the negative factors as well. This will allow us to find all possible combinations
These factors pair up and multiply to 6 </span>
<span>
1*6
2*3
(-1)*(-6)
(-2)*(-3)
note: remember two negative numbers multiplied together make a positive number
Now, which of these pairs add to -8? Lets make a table of all of the pairs of factors we multiplied and see which two numbers add to -8 </span>
<span> <span><span> <span> First Number Second Number Sum</span> </span> <span> <span> 1 6 1+6=7</span> </span> <span> <span> 2 3 2+3=5</span> </span> <span> <span> -1 -6 -1+(-6)=-7</span> </span> <span> <span> -2 -3 -2+(-3)=-5</span> </span> </span></span>
None of these pairs of factors add to -8.
So the expression 3x²-8x+2 cannot be factored.
So (x - 2) is NOT a factor of 3x²-8x+2<span>
So the statement is false</span>
