A. steven wrote an expression with 2 terms. the second term, which is the whole number 7, is subtracted from the first term. the first term is the product of 2 and the quantity of the sum of twice a number x and five, squared.

write steven’s expression and evaluate it for x = 3. show all your work.

b. jasmine wrote an expression that also has 2 terms. the first term has the variable x raised to the second power with a coefficient of 3. the second term is the product of x and 25. the terms are then added together.

write jasmine’s expression and solve for x = 2. show all your work.

Part a)

Steve's expression is

For x=3, the expression is equal to

Part b)

Jasmine's expression is

For x=2, the expression is equal to

Step-by-step explanation:

Part a)

Let

n-----> the first term

The expression is

substitute

Steve's expression is

Evaluate for x=3

Part b)

Let

n-----> the first term

Jasmine's expression is

Evaluate for x=2

the solution of the equation is 2.23 ⇒ answer b

step-by-step explanation:

* lets revise the meaning of exponential function

- the form of the exponential function is y = ab^x, where a ≠ 0, b > 0 ,  

  b ≠ 1, and x is any real number

- it has a constant base b

- it has a variable exponent x

- to solve an exponential equation, take the log or ln of both sides,  

  and solve for the variable

* lets solve the problem

∵

- the base is 7 and the exponent is x

- insert ㏑ in both sides

∴

- use the rule

∴ x ㏑(7) = ㏑(77)

- to find x divide both sides by ㏑(7)

∴

* the solution of the equation is 2.23 to the nearest 2 decimal places