Answer:
(7-2x)3 =9-10x
x= -3
Step-by-step explanation:
we let the number to be x.
twice a number=2x is decreased by 7 that is to say 7-2x, is multiplied by 3, we have (7-2x)3.
the result is 9 less than 10times the number which is =9-10x.
so bringing all these together we have;
(7-2x)3=9-10x.
what is the number?
solving, we have:
(7-2x)3=9-10x
21-6x=9-10x
21-9= -10x+6x
12= -4x
dividing both sides by -4 we have our number
x= -3.
for proof we can substitute x=-3 into the equation.
21-6(-3) =9-10(-3)
21+18=9+30
39=39
Answer:
The average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Step-by-step explanation:
From the table, it is clear that the order size is located on the x-axis and the price is located on the y-axis.
The price of 100 kg cumin = $450
The price of 600 kg cumin = $1650
so
at x₁ = 100, f(x₁) = 450
at x₂ = 600, f(x₂) = 1650
Using the formula to determine the average rate of change at which the total cost increases will be:
Average rate = [f(x₂) - f(x₁)] / [ x₂ - x₁]
= [1650 - 450] / [600-100]
= 1200 / 500
= 2.4
Therefore, the average rate will be 2.40 dollars per kg.
Hence, option D is correct.
Answer:
C.
Step-by-step explanation:
A. Is false because citizens do not lose their citizenship if they fail to pay taxes.
B. Is false because not every tax paying citizen receives government assistance gets benifits like food stamps.
D. Is false because taxes don't go directly back to the people as cash payouts.
Gradient in the UK = slope in the U.S.
The gradients of perpendicular lines are negative reciprocals.
That means the gradients of perpendicular lines are two numbers whose product is -1.
If you know the gradient of a line, to find the gradient of a perpendicular to that line, write the gradient as a fraction. Flip the fraction. Change the sign.
a) gradient = 4 = 4/1
flip the fraction: 1/4
change the sign: -1/4
The gradient of the perpendicular is -1/4
b) gradient = -3 = -3/1
flip the fraction: -1/3
change the sign: 1/3
The gradient of the perpendicular is 1/3
c) gradient = 2/3 (already a fraction)
flip the fraction: 3/2
change the sign: -3/2
The gradient of the a perpendicular is -3/2