By evaluating the linear equation, we can complete the table:
x: -2 | -1 | 0 | 1 | 2 |
y: -3 | -1 | 1 | 3 | 5 |
<h3>
How to complete the given table?</h3>
Here we want to complete the table:
x: -2 | -1 | 0 | 1 | 2 |
y: | | | | |
To get the correspondent values in the "y" row, you just need to evaluate the linear function in the given values of x.
Here the function is:
f(x) = 2x - 1
Evaluating it we get:
f(-2) = 2*(-2) + 1 = -3
f(-1) = 2*(-1) + 1 = -1
f(0) = 2*0 + 1 = 1
f(1) = 2*1 + 1 = 3
f(2) = 2*2 + 1 = 5
Now we just put these values in their correspondent place on the table.
x: -2 | -1 | 0 | 1 | 2 |
y: -3 | -1 | 1 | 3 | 5 |
If you want to learn more about linear functions:
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Answer:
Option 2
Step-by-step explanation:
Let's say that Phalicia opens her savings account one year (12 months) before she goes to college.
With Option 1, she would have saved 300 + 50 * 11 = $850. We do 50 * 11 and not 50 * 12 because she deposits $50 for 11 months, not 12.
With Option 2, she would have saved 5 * 3¹¹ = $885735. Note that we do 3¹¹ and not 3¹² because 5 is being tripled 11 times.
Obviously, she should choose Option 2 because she saves A LOT more money.
Additionally, we can notice that Option 1 is an example of an arithmetic sequence whereas Option 2 is an example of a geometric sequence. Their explicit formulas would be aₙ = 50n + 250 and aₙ = 5 * 3⁽ⁿ⁻¹⁾ respectively.
Answer is A, different slopes
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Answer:
Step-by-step explanation:
Using the definition of similar triangle, we have the equation for problem no. 14 as:
Best Regards!
Answer:
the height of the building is 86.6m
Step-by-step explanation:
In the right triangle, the height which we are looking for is the opposite side, since it is opposite to the angle 60°
Now we need to find the height of the building
tanθ = Opposite side/Adjacent side
tan 60° = Opp side/Adj side
1.7321 = Opp side/50
1.7321 x 50 = Opp side
Opp side = 50 x 1.7321
Opp side = 86.6 m
Therefore, the height of the building is 86.6m.
