Express in vertex form as f (x) = a (x-2)^2+9 and solve for a to find a = -4, so f (x) = -4 (x-2)^2+9 = -4x^2+16x-7 In vertex form, the function takes the form: f (x) = a (x-2)^2+9 for some constant a …

Factor pairs of (ac = -42) --> (-2, 21 (-3, 14). This last sum is (11 = b). Then p' = -3 and q' = 14. Back to original trinomial y, p = p'/a = -3/7, and q = (q')/a = 14/7 = 2. Factor form of y: y = 7 (x - …

How many in the survey own a dog and no cat? How do you convert #r^2=sin2 (theta)# to rectangular form? Two corners of an isosceles triangle are at # (2 ,4 )# and # (3 ,8 )#. If the …

What is the vertex form of #y= (x+2) (x - 7) #? How do you write an inequality and solve given "the sum of twice a number and 5 is at most 3 less than the number"? A triangle has sides A, B, …

Refer to the explanation. Given: y=2x^2-2 is a quadratic equation in standard form: y=ax^2+bx+c, where: a=2, b=0, and c=-2. Axis of Symmetry: the line that divides the parabola into two equal …

Calcium forms a Ca^ (2+) ion, and thus requires 2 negative charges to form a neutral salt. The salts of H_2S could be sulfides, S^ (2-), or hydrogen sulfides, HS^ (-).

2x-10x = 2x(1-5) =2x xx (-4) The distributive property takes a factor and multiplies it into a bracket. 3y(2y-5) =6y^2-15y If you use the distributive property to factorise, the common factor is …

How do you find the zeros by rewriting the function #y=2x^2-26x+24# in intercept form? How do you find the zeros by rewriting the function #g (x)=3x^2+24x+21# in intercept form? How do …

Here's one way to do it. > Example Concentrated hydrochloric acid is usually available at a concentration of 37.7% by mass. The density of the solution is 1.19 g/mL. What is its molar …

Explanation: At STP, or standard temperature and pressure one mole is equivalent to #22.4# liters.