Answer:
1 1/8
Step-by-step explanation:
Answer:
<h3>x(x-5)=0</h3><h3>(x+1)(x-5)=0</h3><h3>x+1=0 or x-5=0</h3><h3>x=-1 or+5</h3><h3>x={-1,+5}</h3>
Answer:
Marian can order 1,771 combinations
Step-by-step explanation:
In this question, we are interested in calculating the number of combinations Marian can order given that there are 23 flavors that can be served in three ways.
Mathematically, the number of combinations that can be ordered is simply 23C3
This is equal to 23!/(23-3)!3! = 23!/20!3! = 1,771
The number of combinations she can order is thus 1,771 combinations
Answer:
(1, 35) means that $35 is the cost per hour of hiring a face painter.
Step-by-step explanation:
Notice that this is a linear function that goes through the origin and also through the point (5, 175) which according to the data plotted in both axis, means that for 5 hours of service, the cost is $175.
One can calculate the slope of this line as that of the segment that joins (0, 0) with (5, 175) as:
slope = (175 - 0) / (5 - 0) = 175 / 5 = 35 / 1
Notice as well that such slope reads the amount of dollars to hire a face painter for ONE hour (so it is the rate per hour for hiring a face painter).
So the point (1 , y) should be completed as: (1, 35) and means "the rate per hour for hiring a face painter."
a) (f+g)(x)=6x^3-x^2+3x+4+8x^3-1
=14x^3-x^2+3x+3
b)(f+g)(2)=14(2)^2-4+6+3
=61
c)(f-g)(x)
=6x^3-x^2+3x+4-8x^3+1
= -2x^3-x^2+3x+5
d( (f-g)(-3)
= -2(-3)^3-(3)^2+9+5
=59
