Answer:
D
Step-by-step explanation:
The n th term of an arithmetic sequence in functional notation is
f(x) = a₁ + (x - 1)d
where a₁ is the first term and d the common difference
d = - 7 - (- 5) = - 7 + 5 = - 2 and a₁ = - 5, thus
f(x) = - 5 - 2(x - 1) = - 5 - 2x + 2 = - 2x - 3 → D
Answer:
g(x) is a factor of P(x).
Step-by-step explanation:
By the factor theorem, If g(a) = 0 and P(a) = 0, then g(x) is a factor of P(x).
Here
P(x) = 2x^3-11x^2-4x+1
g(x) = 2x + 1, g(-1/2) = 0
check
P(-1/2)
= 2(-1/2)^3-11(-1/2)^2-4(-1/2)x+1
=-1/4 - 11/4 + 2 + 1
= 0
Therefore g(x) is a factor of P(x).
As a matter of fact,
P(x) = ( 2x + 1 )( x^2 - 6x + 1 )
Answer:
x = -0.5
Step-by-step explanation:
From your last step:
6.8x + 9.3 = -2.6 - 17x
We have two terms with x in them on different sides of the equation, so we want to bring the 'x terms' over to the same side.
Add 17x to both sides of the equation.
6.8x + 17x + 9.3 = -2.6
Collect like terms
23.8x + 9.3 = -2.6
Subtract 9.3 from both sides
23.8x = -2.6 - 9.3
23.8x = -11.9
Divide both sides by 23.8
x = -0.5
The value of the car to the nearest cent, after 9 years is; 4891 cents
<h3>How to solve exponential regression equations?</h3>
The exponential regression equation will be given as;
y = A₀e^(kx)
Where;
A₀ is the coefficient of exponential regression.
k is the constant.
For x = 0, the value of y will be $ 14100. Then we have;
18200 = A₀e^(k * 0)
Thus; A₀ = 18200
Thus, the exponential regression equation is;
y = 18200e^(kx)
For x = 1, the value of y will be $15728. Then we have;
15728 = 18200e^(k * 1)
Thus; k = -0.146
The equation is now;
y = 18200e^(-0.146x)
Then after 9 years, the value of a car will be
y(9) = 18200e^(-0.146 * 9)
y(9) = 4891
Read more about Exponential Regression equations at; brainly.com/question/9302810
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