Alotion is made from an oil blend costing $1.50 per ounce and glycerin costing $1.00 per ounce. four ounces of lotion costs $5.50. which value could replace x on the table? (4 – g) 1.5 (4 – g) + 1.5 4g – g(1.5) (4 – g)g

given : an oil blend costing = $1.50 per ounce.

glycerin costing = $1.00 per ounce.

in the given options g variable is taken.

so, let us assume number of ounces of glycerin = g ounces.

we are given, "four ounces of lotion costs $5.50."

therefore, total quantity of the lotion is given = 4 ounces.

expression for number of ounces of oil blend = total ounces of the lotion 4 - number of ounces of glycerin = (4 - g) ounces.

cost per for (4 - g) ounces of oil blend = number of ounces of oil blend * oil blend costing per ounce.

therefore, cost per for (4 - g) ounces of oil blend = (4-g)*1.50

therefore, (4-g)1.50 could replace x on the table.

therefore, first option   (4 – g) 1.5 is correct option.

the system of inequity is

step-by-step explanation:

from the given graph it is noticed that we have two related lines. one is solid and another is dashed.

if a line passing through two points, then the equation of line is

the solid line passing through the points (0,4) and (4,0).

the related equation of solid line is .

similarly, find the related equation of dashed line. the dashed liune passing through the points (0,0) and (3,1).

the related equation of dashed line is

from the given graph it is noticed that the point (0,1) lies on the shaded region, therefore the point (0,1) must be satisfied by the related equations.

check the related equations by the point (0,1).

this statement is true if the sign of inequality is < instead of equality. since it is an solid line therefore the sign of inequality will be . the required inequality is

similarly, check the second related equation.

it is a dashed line, so this statement is true if the sign of inequality is > . the required inequality is

step-by-step explanation:

to find if any function is an inverse of the other, put the first equation in as x in the next one. then simplify and solve. if at the end you get the statement y = x, then it is an inverse. if you get anything else, it is not.