Answer: x≤ -0.5
Step-by-step explanation: Graph the two lines or solve for x:
2x – 6 ≥ 6(x – 2) + 8
2x – 6 ≥ 6x – 12 + 8
2x – 6 ≥ 6x – 4
-4x ≥ 2
x ≤ -1/2 [Inequality is reversed when multiplying or dividing by a negative number]
The number line is anything less than or equal to - 1/2
Or one can plot each side of the inequality and note the interception point (x = -(1/2)).
Answer:The answer is 42 gallons.
Step-by-step explanation:
The car traveled 180 miles on 6 gallons of gas, so it got 30 miles per gallon. So divide 1260 by 30 to find the number of gallons needed to go 1260 miles.
Answer:
y = -13x + 55
Step-by-step explanation:
perpendicular formula : m1 × m2 = -1
y = -13x + 4
now we take the grafient of the equation which is 13 :
m × 13 = -1
m = -13
so now we hv a new gradient then we can find the equation use the formula y = mx + c :
m = -13 point = ( 4 , 3 )
sub them into the formula,
3 = -13 (4) + c
3 = -52 + c
3 + 52 = c
55 = c
c = 55
now we rewrite again the c and the m to become a complete equation : y = -13x + 55
Answer:
The addition property of equality
Step-by-step explanation:
According to the addition property of equality, if we add the same number to each side of an equation, the equality is still true.
We are given the equation
x – 3 = 7, and we must solve for x.
We want to get x by itself, so we <em>add 3 to each side</em>.
x – 3 + 3 = 7 + 3
x = 10
We have just used the addition property of equality.
