Solve the equation. Then check your solution. -5.4 = -1.5h a. 3.9
b. -3.9
c. 8.1
d. -6.9

Please select the best answer from the choices provided

9514 1404 393

  a. 3.9

Step-by-step explanation:

Divide by the coefficient of h:

  -5.4 = -1.5h

  -5.4/-1.5 = h = 3.6

All of the offered choices are incorrect.

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Check

  -1.5 × 3.6 = -1.5(3) + (-1.5)(.6)

  = -4.5 - 0.9 = -5.4

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The best answer from those provided is 3.9, choice A.

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

c. y = 1/4 x + 5

step-by-step explanation:

first, put the equation of the line on the graph into slope-intercept form

(y = mx + b):   y = -4x + 8

second, a perpendicular line has to have "an opposite/reciprocal slope" to the original slope. so, find the "m" value in your original equation (it's -4, right? )

original slope: m = -4   perpendicular slope: change the sign to its opposite and find the reciprocal ("flip" the number)

new slope is now positive (b/c the original slope was negative 4), and it's 1/4 (not the original slope of 4 or 4/1)