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Algebra II

Find the general solution of the given equation. y" - 9y = 0

Zoe Oneal 2021-09-16

Determine if b is a linear combination of $a_{1}, a_{2}$ , and $a_{3}$ .
$a_{1} = [\begin{matrix} 1 \\ - 2 \\ 0 \end{matrix}], a_{2} = [\begin{matrix} 0 \\ 1 \\ 2 \end{matrix}], a_{3} = [\begin{matrix} 5 \\ - 6 \\ 8 \end{matrix}], b = [\begin{matrix} 2 \\ - 1 \\ 6 \end{matrix}]$

Chesley 2021-09-16

Describe in words the surface whose equation is given. $0 = \frac{π}{4}$

Brennan Flores 2021-09-16

Solve the rational equation.
$\frac{2 x}{x + 1} - \frac{3}{x + 5} = \frac{- 8 x^{2}}{x^{2} + 6 x + 5}$

chillywilly12a 2021-09-16

Solve the equation.
|4x-3|+2=2

nitraiddQ 2021-09-16

Solve the equation.
$\frac{3}{x - 3} + 9 = \frac{x}{x - 3}$

slaggingV 2021-09-16

Solve the equation:
$\sin \frac{x}{3} = \frac{1}{2}, 0 \leq x < 2 π$ .

sibuzwaW 2021-09-16

Use substitution to determine whether the given x-value is a solution of the equation.
$\sin x = \frac{\sqrt{2}}{2}, x = \frac{π}{3}$

Tazmin Horton 2021-09-16

Solve the equation.
$24 n^{2} - 38 n + 15 = 0$

Tobias Ali 2021-09-16

Solve the system.
x − 2y + 3z = 9 Equation 1
y + 3z = 5 Equation 2
z = 2 Equation 3

zi2lalZ 2021-09-16

First use the discriminant to determine whether the equation has two nonreal complex solutions, one real solution with a multiplicity of two, or two real solutions. Then solve the equation.
$4 x^{2} + 20 x + 25 = 0$

vestirme4 2021-09-16

Use the discriminant to determine whether each quadratic equation has two unequal real solutions, a repeated real solution (a double root), or no real solution, without solving the equation.
$9 x^{2} - 30 x + 25 = 0$

Dillard 2021-09-16

Find the given equation's general solution. y" - 4y = 0

pancha3 2021-09-16

Solve the equation 7x+2y=8 for y, identify the slope, then find an equation for the line that is parallel to the line 7x+2y=8 and passes through the point (0,4).

arenceabigns 2021-09-15

$\sqrt{(x + 8)} + \sqrt{(x + 15)} = \sqrt{(9 x + 40)}$

djeljenike 2021-09-15

The function represents the height y (in feet) of a grasshopper jumping straight up from the ground f seconds after the start of the jump. After how many seconds is the grasshopper 1 foot oft the ground?
Given: Function $y = - 16 t^{2} + 8 t$ represents the height (in feet) of grasshopper at t seconds.

geduiwelh 2021-09-15

The function $C (x) = 17.5 x - 10$ represents the cost (in dollars) of buying x tickets to the orchestra with a $10 coupon.
a. How much does it cost to buy five tickets?
b. How many tickets can you buy with $130?

melodykap 2021-09-15

Modeling Luxury Home Sales
The following quadratic function in general form, $S (t) = 5.8 t^{2} - 81.2 t + 1200$ models the number of luxury home sales, S(t), in a major Canadian urban area, according to statistical data gathered over a 12 year period. Luxury home sales are defined in this market as sales of properties worth over $3 Million (inflation adjusted). In this case, $t = 0$ represents 2000 and $t = 11$ represents 2011. Use a calculator to find the year when the smallest number of luxury home sales occurred. Without sketching the function, interpret the meaning of this function, on the given practical domain, in one well-expressed sentence.

Anish Buchanan 2021-09-15

The exponential models describe the population of the indicated country A, in millions, t years after 2006. Which country has the greatest growth rate? By what percentage is the population of that country increasing each year?
Country: 1 $A = 127.8 e^{0.006 t}$
Country 2: $A = 1096.9 e^{0.018 t}$
Country 3: $A = 147.4 e^{- 0.003 t}$
Country 4: $A = 25.6 e^{0.023 t}$

Clifland 2021-09-15

The exponential models describe the population of the indicated country, A, in millions, t years after 2010. Use these models to solve, When will India’s population be 1377 million?
India: $A = 1173.1 e^{0.008 t}$

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