Which is a solution to (x - 2)(x + 10) = 13?
o x= 3
o x = 8
o x = 10
o x= 11

x = 3.

Step-by-step explanation:

(x - 2)(x + 10) = 13

x^2 + 8x - 20 = 13

x^2 + 8x - 33 = 0

( x +11)(x - 3) = 0

x = 3, -11.

x = - 11, x = 3

Step-by-step explanation:

Given

(x - 2)(x + 10) = 13 ← expand the left side using FOIL

x² + 8x - 20 = 13 ( subtract 13 from both sides )

x² + 8x - 33 = 0 ← in standard form

Consider the factors of the constant term (- 33) which sum to give the coefficient of the x- term (+ 8)

The factors are + 11 and - 3, since

11 × - 3 = - 33 and 11 - 3 = + 8, thus

(x + 11)(x - 3) = 0

Equate each factor to zero and solve for x

x + 11 = 0 ⇒ x = - 11

x - 3 = 0 ⇒ x = 3

total = principal × ( 1 + rate ) ^ years

total = 600 * (1.04)^5

total = 729.99

answer is c

step-by-step explanation:

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