For the function y = (4x - 3)(x + 7)
the 2 x-intercepts are?

x - intercepts are (3/4 , 0) &  (-7 , 0)

Step-by-step explanation:

y = (4x - 3)(x + 7)

At x-intercept, y=0

(4x - 3)(x + 7) = 0

4x - 3 = 0    ;  x + 7 = 0

  4x = 3       ; x = -7

    x =      ; x = -7

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