Questions in Grade High-school

Questions in Grade High-school

[Homework Help] How much heat is given off when 8 g of hydrogen reacts in the reaction: \[ 2\text{H}_2 + \text{O}_2 \rightarrow 2\text{H}_2\text{O}; \Delta H = -115.60 \text{kcal} \] a. -57.8 kcal b. -115.6 kcal c. -173.4 kcal d. -231.2 kcal e. -462.4 kcal

[Homework Help] Function \( f(x) = ax^{2} + bx + c \), where \( a, b, \) and \( c \) are constants. Define functions \( g \) and \( h \) as follows: \[ g(x) = f(x+1) - f(x) \] \[ h(x) = g(x+1) - g(x) \] Find the algebraic form of \( h(x) \). Can anyone explain how to make it step by step?

[Homework Help] Functions \( f(x) \) and \( g(x) \) are both increasing. In addition, the range of \( g \) is in the domain of \( f \). Prove that the composite function \( f(g(x)) \) is increasing.

[Homework Help] Solve the equation: \[ \log_8(2-5x) = \log_8(-4x+3) \]

[Homework Help] If \( f(3) = 15 \) and \( f(5) = 45 \), which of the following could be \( f(x) \)?

[Homework Help] Find the radii of the circles satisfying the two requirements: (a) The circles are in the second quadrant and tangent to both axes. (b) Point \((-4, 4)\) is on their circumferences.

[Homework Help] How do I write the equation \(9x - 6y = -72\) in slope-intercept form?

[Homework Help] Find an equation of the line satisfying the given conditions: Through (6, 4); perpendicular to [tex]3X + 5Y = 38[/tex].

[Homework Help] Give the values of \(a\), \(b\), and \(c\) needed to write the equation's general form. \(\frac{1}{4}x^2 + 5 = 0\)

[Homework Help] What is the difference between an ELDC and an EMDC?