Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is: 
Step-by-step explanation:
We need to find if y varies directly with x from the values given in the table.
If y varies directly with x then we have the equation:
where k is constant of proportionality
or we can write
If k is same for all values of x and y when (y/x=k) then we can say that y varies directly with x.
if x = -20 and y=45 then k is:
So, value of k is -2.25
if x = 1 and y=-2.25 then k is:
So, value of k is -2.25
if x = 12 and y=-27 then k is:
So, value of k is -2.25
Since value of k is same for y/x for all values in the table so, y varies directly with x
And equation is:
Keywords: Direct Relationship
Learn more about Direct Relationship at:
#learnwithBrainly
Answer:
C
Step-by-step explanation:
If you add 1,000 to a number 10 times, it will only increase the number by 10,000, not multiply the number by 1,000.
c(x) = 4x - 2
d(x) = x^2 + 5x
4x - 2(x^2 + 5x)
<em><u>Using FOIL, distribute each term appropriately. </u></em>
4x^3 + 20x^2 - 2x^2 - 10x
<em><u>Combine like terms.</u></em>
4x^3 + 18x^2 - 10x is the simplified polynomials achieved when c(x) and d(x) are multiplied.
Answer:
x = 28
Step-by-step explanation:
If AB and CD are the straight lines, sum all the angles formed at a point lying on this line will be 180°.
m∠COE + m∠EOF + m∠FOB + m∠BOD = 180° [Angles at a point O on line AB]
3x + x + (x + 12) + m∠BOD = 180°
m∠BOD = 180° - (5x + 12)
Similarly, m∠AOD + m∠AOC = 180°
152° + m∠AOC = 180°
m∠AOC = 28°
Since, ∠AOC and ∠BOD are the vertical angles,
m∠AOC = m∠BOD
180° - (5x + 12)° = 28°
5x + 12 = 180 - 28
5x = 140
x = 28
