source : socratic.org

## For which value of m does the graph of y=18x^2+mx+2 have exactly one x-intercept?

As #y=18x^2+mx+2# will have two intercepts on #x#-axis given by

#18x^2+mx+2=0#

If the discriminant is zero the intercepts will coincide.

As the discriminant is #m^2-4xx2xx18=m^2-144#,

we will have exactly one intercept if #m^2-144=0# or #m=+-12#

i.e. for #y=18x^2-12x+2# and #y=18x^2+12x+2#

graph{18x^2-12x+2 [-3, 3, -2, 5]}

graph{18x^2+12x+2 [-5, 5, -2, 5]}

Machine learning: an introduction to mean squared error and… – We do not have it as part of the data. But we do know that, in order to calculate y', we need to use our line At this point we're starting to be messy, so let's take the mean of all squared values for y, xy, x, x². Slope and y-intercept equations. So you probably thinking to yourself, what the heck are those…Equation of a line in slope intercept form, as well as how to find equation given slope and one point. Includes you-tube video Lesson with pictures and many example problems. The slope intercept form is probably the most frequently used way to express equation of a line.Where the graph intersects the x-axis, x2+2kx+5 must be equal to zero. Thus we can answer the equivalent question: For what k does x2+2kx+5 We can apply the common method of considering the discriminant of x2+2kx+5. Using standard quadratic formula notation where in this case a=1, b =2k…

Slope intercept form. Formula , examples, video tutorial, and practice… – The graph is a parabola with the minimum where x= -b/2a = -7/6. You should sketch it! To have 2 x intercepts, the value at the minimum point must be less than 0, i.e. 2 x-intercepts if the discriminant is positive.HomertheGenius HomertheGenius. Y = 18 x² + m x + 2 Exactly one x – intercept is for: D = m² – 4 · 18 · 2 = 0 m² – 144 = 0 m² = 144 Answer: m = -12 or m = 12.Answer:Step-by-step explanation:no x-intercepts if and Only if discriminant is negative, that is,25 + 8m < 0, that is , m > – 25 / 8.

For what values of k does the graph y=x^(2)+2kx+5 not… | MyTutor – For which value of m does the graph of y = 18×2 + mx + 2 have exactly one x-intercept?Uhave to do 432×2 and then that answer that u get u have to x that by 4/3. Biology, 05.04.2017 18:43. Osmosis, or the movement of water into and out of a cell, is directly related to the concentration gradient on both sides of the cell membrane and ind…For which value of m does the graph y=18x^2+mx+2 have exactly one x-intercept? Adam is using the equation (x)(x+2)=255 to find two consecutive odd integers with a product of 255. When Adam solves the problem using the zero product property, what do those solutions represent?