Algebra Word Problem Solutions

Solve the equation:
${\displaystyle \frac{3t+5}{8}=-5}$

Enter the data for Spendco into your graphing calculator. Enter the years since 2000 as the x-values and the corresponding daily hits in thousands as the y-values. a. To find the exponential equation that models the data, use the exponential regression feature of your calculator. The calculator should return values for a and b. Write these values below, rounding to the nearest hundredth. a= b. Write the exponential equation in the form ${\displaystyle y=a{b}^x}$.
c. Use the exponential equation to predict the number of daily hits for Spendco in 2015.

Solve the equation. Round your answers to the nearest hundredth. $8^x=12$

Do the equations $5y-2x=18$
and
$6x=-4y-10$
form a system of linear equations? Explain.

Evaluate f(x)⋅g(x) by modeling or by using the distributive property. f(x)=(−3x+2) and g(x)=(2x2−5x−1)

Determine whether the function given by the table is linear, exponential, or neither. If the function is linear, find a linear function that models the data. If it is exponential, find an exponential function that models the data. x f(x) -1 8/7 0 8 1 56 2 392

Whether ${\displaystyle p\equiv q\pm odm}$ when p=21, q=53, and m=8.

Solve the equation ${\displaystyle {(4x-2)}^2\le 100}$

Rewrite as an exponential equation
${\displaystyle e^x=2}$

Solve the system of equations.
y=2x-5
3x+2y=18

Find the second derivative of y with respect to x from the parametric equations given.
${\displaystyle x=t^2-1,y=t^2+t}$

Factor each polynomial.
${\displaystyle m^4-1296}$

If the roots of a quadratic equation: ${\displaystyle A{x}^2+Bx+C=0arex=5\text{and}x=\frac{4}{3}}$, then what is the equation?

Solve system of equation by chinese remainder theorem:
${\displaystyle x\equiv 5\left(b\text{mod}24\right)}$
${\displaystyle x\equiv 17\left(b\text{mod}18\right)}$

To determine:The decoded message for the following encoded messages.
${\displaystyle E=456}$

To determine:The decoded message for the following encoded messages.
${\displaystyle E=926}$

Solve the equation ${\displaystyle x^2-25}$

Solve the following system of equations.
$x-9y=-13$
$5x+3y=-15$

Solve the for the general solution of the differential equation
${\displaystyle (4D^4-4D^3-23D^2+12D+36)y=0}$

Solve the equation ${\displaystyle x^2+x-20}$