Please take a look at the picture. Please write your answer with an explanation.

Step-by-step explanation:

what answer is needed ? the result of the calculation ?

I assume this is the case.

remember that regarding the sequence of operations brackets are first, then exponents, then "dot" operations (× and ÷), and only at the very least come the "dash" operations (+ and -).

and that a combination of - + or + - results in -.

14 + 16 ÷ 2³ - (12 + 3²) ÷ 7 + 2 × (-5) =

14 + 16 ÷ 2³ - (12 + 9) ÷ 7 - 2 × 5 =

14 + 16 ÷ 2³ - 21 ÷ 7 - 2 × 5 =

14 + 16 ÷ 8 - 21 ÷ 7 - 2 × 5 =

14 + 2 - 3 - 10 = 3

the direct variation says that:

then the equation is of the form is given by:

            where k is the constant variation.

from the given table:

consider any value of x and m(x)=y

x = 2 and m(x)=y = 3

substitute these value in [1]; we have;

divide both sides by 2 we get;

⇒

check:

put x = -1 and m(x) = -1.5

substitute in the equation:

-1.5 = -1.5                   true

therefore, the function m(x) represents a direct variation

graph of this function as shown below:

step-by-step explanation:

step 1: solve one of the equations for one of the variables. let's solve the first equation for y:

step 2: substitute that equation into the other equation, and solve for x.

step 3: substitute x = 4 x = 4 x=4 into one of the original equations, and solve for y.