The sum of three numbers is 97. The third number is 9 less than the first. The second number is 2 times the third. What are the numbers

Step-by-step explanation:

x + y + z = 97 eq1

x - z = 9 eq2

y = 2z eq3

Since y is already defined in eq3, we can substitute eq3 into eq1.

x + 2z + z = 97

x + 3z = 97 new eq1

Now, we have only 2 equations to work with that have two variables.

x + 3z = 97 new eq1

x - z = 9 eq2

Subtract eq2 from new eq1 to eliminate the x terms.

4z = 88

z = 22

Next, substitute this value of z into eq3 to solve for y.

y = 2(22)

y = 44

Finally, we can substitute the values of y and z into eq1 to solve for x.

x = 97 - 44 - 22

x = 31

The three numbers are 22, 31, and 44.

g(x) = x² + 2

step-by-step explanation:

it is given that the graphs are the same shape.

the only difference is that the red graph is 2 units higher than the blue graph.

that is to say that the red graph is simply the blue graph that has been moved vertically by 2 units in the positive y direction.

hence

g(x) = f(x) + 2

or

g(x) = x² + 2

step-by-step explanation:   divide the numerator by the denominator to get the decimal

it would still be 193

if divide by 100 then 1.93

i am not sure