Suppose v varies directly as g, and v= 36 when g = 4. find v when g=11​

v = 99 when g = 11

Step-by-step explanation:

Set this up as an equation

36/4 = v/11

Cross multiply

36 × 11 = 4 × v

396 = 4v

Divide both sides by 4 to isolate variable v

396 ÷ 4 = 4v ÷ 4

99 = 1v

99 = v

the formula of a slope:

we have the points (-2, 7) and (2, 3). substitute:

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