Answer:
3, 6, 9
Step-by-step explanation:
To find the first 3 terms , substitute n = 1, 2, 3 into the n th term rule.
a₁ = 3(1) = 3
a₂ = 3(2) = 6
a₃ = 3(3) = 9
For the answer to the question above, given one side and the angle at each end of it with compass and straightedge or ruler. It works by first copying the line segment<span> to form one side of the triangle, then </span>copy the two angles<span> <span>onto each end of it to complete the triangle</span></span>
Answer:
NO SOLUTION
Step-by-step explanation:
Let's actually solve the system
x-4y=1
5x-20y=4
Let's eliminate y. To do this, multiply the first equation by -5, obtaining
-5x + 20y = -5
Now add this result to the second equation:
-5x + 20y = -5
5x - 20y = 4
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0 = -1
This result is never true. Thus, this system of linear equations has NO SOLUTION.
Answer:
it cannot be less than, or the value cannot be lower than
Step-by-step explanation:
Problem 1 (on the left)
It appears we have an exponential function curve through the points (0,4) and (1,7)
The general exponential function is of the form
y = a*b^x
The value of 'a' is the y intercept or initial value. So a = 4
Plug in (x,y) = (1,7) to help solve for b
y = a*b^x
y = 4*b^x
7 = 4*b^1
7 = 4b
b = 7/4 = 1.75
Therefore, the function is y = 4*(1.75)^x
- Plug in x = 0 and you should get y = 4.
- Plug in x = 1 and you should get y = 7
These two facts help confirm we have the correct exponential equation.
<h3>Answer: y = 4*(1.75)^x</h3>
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Problem 2 (on the right)
The steps will follow the same idea as the previous question.
The exponential curve goes through (-1, 120) and (0,40)
We have a = 40 this time due to the y intercept (0,40)
Plug in the coordinates of the other point to find b
y = a*b^x
y = 40*b^x
120 = 40*b^(-1)
120 = 40/b
120b = 40
b = 40/120
b = 1/3
<h3>Answer: y = 40*(1/3)^x</h3>