Answer:
As x approaches negative infinity, p(x) approaches positive infinity and q(x) approaches negative infinity.
Step-by-step explanation:
The order of the polynomial and the sign of the leading coefficient will let us find the correct answer easily,
If you get a negative number (such as negative infinity) and you take it to an odd power, (for example 3), you will still get a negative number.
As q(x) has a positive leading coefficient, this means that as x approaches negative infinity, q(x) will approach too negative infinity.
Since p(x) has an odd degree, but negative leading coefficient,
(-)*(-) = +
And this means that p(x) approaches positive infinity
Answer:
We have the equation of the line as : 4x+2y=12
Step-by-step explanation:
Now 4x+2y=12
=> 2y = 12 - 4x
=> y = 6 - 2x
A line with a slope m and y-intercept c can be written as y = mx + c
In the case of y = -2x -...
F(x) = -x² + 4
g(x) = 6x
(g - f)(3) = 6(3) - (-(3)² + 4)
(g - f)(3) = 18 - (-9 + 4)
(g - f)(3) = 18 - (-5)
(g - f)(3) = 18 + 5
(g - f)(3) = 23
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Answer:
175 dimes and 75 quarters
Step-by-step explanation:
Make a system of equations, where d is the number of dimes and q is the number of quarters:
d + q = 250
0.1d + 0.25q = 36.25
Solve by elimination by multiplying the top equation by -0.1:
-0.1d - 0.1q = -25
0.1d + 0.25q = 36.25
0.15q = 11.25
q = 75
Then, plug in 75 as q into one of the equations to solve for d:
d + q = 250
d + 75 = 250
d = 175
So, there are 175 dimes and 75 quarters
Answer c
Step-by-step explanation:
they have to be equivalent
