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Algebra II

The number of bags of mulch bb that a gardener needs to cover a garden depends on the area aa of the garden and the depth dd of mulch. Which of the following equations models the relationship between these variables?
A. b=kad
B. k=dab
C. d=kba
D. bda=k

Kyran Hudson 2021-06-09

Choose the correct term to complete each sentence. To find the limits of rational functions at infinity, divide the numerator and denominator by the _____ power of x that occurs in the function.

Wierzycaz 2021-06-09

The table shows the total number of bacteria in a sample over five hours.
HourNumber of Bacteria 112 2144 31728 420,736 5248,832
Use your calculator to find an exponential equation that models the bacteria data.

Cheyanne Leigh 2021-06-09

Show that an exponential model fits the data. Then write a recursive rule that models the data.
n 0 1 2 3 4 5 f(n)0.75 1.5 3 6 12 24

Bevan Mcdonald 2021-06-09

Look at this table:
$\begin{array}{cc} x & y \\ 1 & 2 \\ 2 & 4 \\ 3 & 8 \\ 4 & 16 \\ 5 & 32 \end{array}$
Write a linear $(y = m x + b)$ , quadratic $(y = a x 2)$ , or exponential $(y = a (b) x)$ function that models the data. $y =$

Brittney Lord 2021-06-09

With what kind of exponential model would half-life be associated? What role does half-life play in these models?

vestirme4 2021-06-09

$(3 \sqrt{3} - 3 i) (2 i)$

permaneceerc 2021-06-09

Show that f is continuous on $(- \infty, \infty)$ .
$f (x) = 1 - x^{2} if x \leq 1$
$\ln (x) if x > 1$

sodni3 2021-06-09

Determine the solutions set of the following equation. Equation in Quadratic form
$4 x + \sqrt{3} = 1$

Ayaana Buck 2021-06-09

Verify that the function satisfies the differential equation. (A differential equation in x and y is an equation that involves x, y, and derivatives of y.) Function $y = 2 \sin x + 3$
Differential Equation $y + y = 3$

Burhan Hopper 2021-06-08

Replace the polar equation with equivalent Cartesian equations. $(x - 5)^{2} + y^{2} = 25$

Jason Farmer 2021-06-08

Solve the polynomial equation.
$6 x - x^{2} = 0$

permaneceerc 2021-06-08

What is expanding and factorization of algebraic expressions ?

ankarskogC 2021-06-08

Rewrite the polar equation $r = 5 \sin (θ) r = 5 \sin (θ)$ as a Cartesian equation.

Daniaal Sanchez 2021-06-08

For the following exercises, use the given information about the polynomial graph to write the equation. Degree 3. Zeros at $x = - 2,$ $x = 1$ , and $x = 3$ . y-intercept at $(0, - 4)$ .

Phoebe 2021-06-08

Give an example of a context for a modeling problem where you are given that xy = 120 and you are minimizing the quantity 2x + 6y.

Brittney Lord 2021-06-08

Tell whether the function represents exponential growth or exponential decay. Identify the growth or decay factor.
$f (x) = 7 \cdot {0.32}^{x}$

melodykap 2021-06-08

Factor each polynomial. If a polynomial cannot be factored, write prime. Factor out the greatest common factor as necessary:
$m^{2} - 5 m - 14$

pancha3 2021-06-08

Consider the following rational functions: $r (x) = \frac{2 x - 1}{x^{2}} - x - 2 s (x) = \frac{x^{3} + 27}{x^{2} + 4}$
$t (x) = \frac{(x^{3}) - 9 x}{x + 2}$
$u (x) = \frac{(x^{2}) + x - 6}{x^{2} - 25}$
$w (x) = ((x^{3}) + (6 x^{2}) + 9 x) \frac{)}{x + 3}$
Which of these functions has no vertical asymptote?

pedzenekO 2021-06-08

Calculate the following limits
$lim_{x \to a} \frac{x^{3} - a^{3}}{x^{4} - a^{4}}$

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