78! is the answer to this question! trust! -6
Answer:
The nonlinear system of equations has 4 solutions ⇒ B
Step-by-step explanation:
The number of solutions of a system of equations equal to the number of points of intersection of the graphs of the equations of the system
Let us use this note to solve the question
From the given figure
∵ The nonlinear system of equations represented by two curves and a circle
∵ Each curve intersects the circle into two points
∴ The number of the points of intersection is 4
→ By using the note above
∵ The number of intersection points equal to the number of solutions
∴ The number of solutions is 4
∴ The nonlinear system of equations has 4 solutions
Answer:
The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.
Step-by-step explanation:
Let
x ----> the number of pounds of a City Roast Columbian coffee
y ---> the number of pounds of a French Roast Columbian coffee
we know that
-----> equation A
----> equation B
Solve the system of equations by graphing
The solution is the intersection point both graphs
The solution is the point (1,11)
therefore
The number of pounds of City Roast Columbian coffee they should buy is 1 and the number of pounds of French Roast Columbian coffee they should buy is 11.
Answer:
3854ft
Step-by-step explanation:
By assuming that the cable is not doubled.
in order to find the length of the base of the mountain
tan74°=3400/x
x= 3400/tan74°
x≈ 975ft
Therefore, the length of the cable equals to
=
length≈ 3854ft
Thus, the shortest length of cable needed is 3854ft
Using translation concepts, the graph of g(x) = 3x² + 1 is given at the end of the answer.
<h3>What is a translation?</h3>
A translation is represented by a change in the function graph, according to operations such as multiplication or sum/subtraction either in it’s definition or in it’s domain. Examples are shift left/right or bottom/up, vertical or horizontal stretching or compression, and reflections over the x-axis or the y-axis.
For this problem, we have that the parent function is:
f(x) = x².
The shifted function is:
g(x) = 3x² + 1.
The transformations are given as follows:
- It was vertically compressed by a factor of 3, due to the multiplication by 3.
- It was shifted up 1 unit, due to the addition of 1.
In the graph at the end of the answer, both functions are shown, with <u>f(x) in red and g(x) in blue</u>.
More can be learned about translation concepts at brainly.com/question/28393734
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