Answer:
Step-by-step explanation:
We are given the two functions:
And we want to find:
So, by substitution, we acquire:
Distribute:
Simplify:
F(x) = -6(1.02)^x has a y-intercept at f(x) = -6(1.02)^0
f(x) = -6(1)
f(x) = -6
f(x) has a y-intercept at (0, -6)
g(x) has a y-intercept at (0, -3)
Therefore, the y-intercept of f(x) is equal to 2 times the y-intercept of g(x).
Answer:
45.82 square inches
Step-by-step explanation:
Use the formula for the surface area of a sphere, A = 4
r²
If the diameter is 3.82 inches, the radius is 1.91 inches.
Plug in 3.14 as and 1.91 as r, and solve:
A = 4r²
A = 4(3.14)(1.91²)
A = 45.82
So, approximately 45.82 square inches of material are needed.
Answer:
<h2>D= 3.9 miles</h2>
Step-by-step explanation:
Given data
speed v= 13 miles per hour
time taken t= 20min to hour 0.3 hours
the distance D
We know that the relationship between speed, time, and distance
speed=distance/time
13=D/0.3
(the expression above describes the relationship between distance, speed, and time)
making D subject of formula we have
D= 0.3*13
D= 3.9 miles
hence the distance is 3.9miles
The equation 3x - 2y = 8 and 6x - 4y = 16 are systems of equations with infinite solutions.
A linear system of equations can have (a)unique solutions, (b) infinite number of solutions, or (c) no solution.
For it to have infinite number of solutions, the graph of the equations must intercept with each other at infinite points, leaving the two graphs overlaying each other.
Given the equation, 3x - 2y = 8, the other equation in a linear system to have infinite number of solutions with it must be the exact same line.
To do this, simply multiply the whole equation with a real number.
Example:
Multiplying the whole equation by 2 gives 6x - 4y = 16.
Now, 3x - 2y = 8 and 6x - 4y = 16 are equations in a linear system with infinite number of solutions.
If you want to know more about systems of equations with infinite solutions, visit brainly.com/question/27927692.
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