Brianna solved a two-step equation, but she made a mistake along the way.
2 answers:
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Answer:
Table 3 has a greater y intercept
Step-by-step explanation:
See attachment (1) & (2) for graph and tables
First, we have to determine the y intercept of the graph
The y intercept of any graph or table is the corresponding value of a point where
In the attached graph.
when
So:
Next, we determine the y intercept of each table.
Recall that: The y intercept of any graph or table is the corresponding value of a point where
For table 1:
For table 2:
For table 3:
By comparison, the y intercepts of tables (1) & (2) are less than the y intercept of the graph because: 3 and 2 are less than 4
However, the y intercept of table 3 is greater than the y intercept of the graph because 5 is greater than 4.
<em>Hence, table 3 has a greater y intercept</em>
Answer:
Step-by-step explanation:
The projection of a vector onto a vector
is defined as the projection of the vector
on the line that contains the vector
. It can be calculated using the following formula:
Where:
Is the dot product between and
which is given by:
and:
Is the magnitude of vector which can be calculated as follows:
In this sense, the projection of vector w onto vector u is:
Where the dot product between and
is:
And the magnitude of is:
Thus: