Which inequality describes the graph above?
...Which inequality describes the graph above?
4y+5x≥20
5y+4x≤20
4y+5x≤20
5y+4x≥20
Correct answer is B
First, we find the equation of the boundary line using the two intercepts.The slope is
m = 4−00−5=45
The y-intercept is 4
The slope-intercept form of the equation is therefore
y = -45x+4
⟹y+45x=4
Multiply both sides by 54
⟹54(y+45x)=4×54
⟹54y+x=5
Multiply both sides by 4
⇒ 5y+4x=20
The inequality is therefore either 5y+4x≤20 or 5y+4x≥20.
Using the test point (0, 0) -The origin
⇒ 5(0) + 4(0) ≤ 20
⇒ 0 ≤ 20 (True)
∴ The inequality is 5y+4x≤20
What is log7(49a) - log10(0.01)?...
Given that S and T are sets of real numbers such that S = {x : 0 ≤ x ≤ 5} and T = {x :...
Find the coefficient of xy in the expansion of (x - 4y)(3x + 2y) ...
What is the circumference of latitude 0°S if R is the radius of the earth?...
If xa+1+yb 1. Make y the subject of the relation...
In △PQR, PQ = 10cm, QR = 8cm and RP = 6cm, the perpendicular RS is drawn from R to ...
Which of the following correctly expresses 48 as a product of prime factors?...
Find the curved surface area of the frustrum in the figure ...
Evaluate: 0.42÷2.50.5×2.95, leaving the answer in the standard form....