Gaira was asked to evaluate the algebraic expression –3.8x + 6 when x = –7.5. –3.8(–7.5) + 6(–7.5)Gaira was asked to evaluate the algebraic expression –3.8x + 6 when x = –7.5. –3.8(–7.5) + 6(–7.5) 28.5 + (–45) (–16.5) What mistake did she make 28.5 + (–45) (–16.5) What mistake did she make? What is the correct answer?

See explanation

Step-by-step explanation:

Given

Required

Determine Gaira mistake

When Gaira solved the expression, she solved as:

Giving her

This is incorrect as the correct expression is

and it is solved as follows:

Substitute -7.5 for x in -3.8x + 6

34.5 is the correct solution

b. 6

step-by-step explanation:

we are given the table representing an exponential function.

we can see from the table that, as x is increasing, the value of y is increasing in the power of 6.

i.e. the following relation is obtained,

x = 1, y = 6

x = 2, y = 36 =

x = 3, y = 216 =

x = 4, y = 1296 =

x = 5, y = 7776 =

so, the geometric series obtained is .

thus, the common ratio is given by = = 6.

hence, the common ratio is 6.