The number is 'n'.
Five times the number is 5n .
Nine more than that is 5n + 9 .
The correct match for each leading coefficient will be as below:-
1. ⇒ b ⇒ 8
2. ⇒ d ⇒ 4
3. ⇒ e ⇒ 40
4. ⇒ c ⇒ - 8
5. ⇒ a ⇒ 2
<h3>What is a polynomial?</h3>
A polynomial in mathematics is an expression made up of coefficients and indeterminates and involves only the operations of multiplication, addition, subtraction, and non-negative integer exponentiation of variables.
The leading coefficient of the polynomial is defined as the coefficient of the variable having the highest power in the polynomial.
For the given polynomials calculate the highest power variable in each polynomial with the coefficient.
1.
P(x) = (x + 2) (2x - 3) (4x +7):
P(x) = 8x³
2.
P(x) = 1/2(x - 2) (2x - 3) (4x + 7):
P(x) = 4x³
3.
P(x)= 5(x - 2) (2x - 3) (4x + 7):
P(x)= 40x³
4.
P(x) = -(x - 2) (2x - 3) (4x + 7):
P(x) = -8x³
5.
P(x) = 1/4(X + 2) (2x - 3) (4x + 7):
P(x) = 2x³
Therefore, the leading coefficients are 8, 4, 40, -8, and 2 respectively.
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X + 8 = 10
that is it if i am correct
Answer:
The water cost will be $40,000
(El costo del agua será de $40,000)
Step-by-step explanation:
To solve this problem we can use rule of three:
9 taps opened for 10 hours a day have a water cost of 20000
15 taps opened for 12 hours a day have a water cost of X
The number of taps and the water cost are direcly proportional: if the number of taps increase, the amount of water increase, and so the total water cost increases.
The number of hours per day opened is also direcly proportional to the cost: more hours opened = more water = more cost.
So, we can write this equation:
(9 * 10) / (15 * 12) = 20000/X
90/180 = 20000/X
X = 20000*180/90 = 40000
The water cost will be $40,000
Find the range of the data: 97,106,99,97,115,95,108,100 and 27,13,35,19,71,12,66,47,39
amm1812
Range of data set #1 (95, 97, 97, 99, 100, 106, 108, 115) = 20
Range of data set #2 (12, 13, 19, 27, 35, 39, 47, 66, 71) = 59
