Consider the linear function that is represented by the equation y = 2 x + 2 and the linear function that is represented by the
graph below.
Which statement is correct regarding their slopes and y-intercepts?
A. The function that is represented by the equation has a steeper slope and a greater y-intercept.
B. The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
D. The function that is represented by the graph has a steeper slope and a greater y-intercept.
Which statement is correct regarding their slopes and y-intercepts?
A. The function that is represented by the equation has a steeper slope and a greater y-intercept.
B. The function that is represented by the equation has a steeper slope, and the function that is represented by the graph has a greater y-intercept.
C. The function that is represented by the graph has a steeper slope, and the function that is represented by the equation has a greater y-intercept.
D. The function that is represented by the graph has a steeper slope and a greater y-intercept.
2 answers:
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The questions are illustrations of trigonometry ratios and right triangles
- The value of x is 11.8310
- The tree is 23.3154 feet tall
- The depth of the sub is 376.7770 meters
Trigonometry ratio
Trigonometry ratios are very useful in determining the measure of angles, and the side lengths of a right triangle.
<h3>Question 1</h3>The value of x is calculated using the following sine trigonometry ratio
Make x the subject
This gives
Hence, the value of x is 11.8310
<h3>Question 2</h3>This question is illustrated by the first diagram in the attached figure
The height (h) of the tree is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the tree is 23.3154 feet tall
<h3>Question 3</h3>This question is illustrated by the second diagram in the attached figure
The depth (h) of the sub is calculated using the following tangent trigonometry ratio
Make h the subject
This gives
Hence, the depth of the sub is 376.7770 meters
Read more about trigonometry ratios at:
Answer:
Step-by-step explanation:
The formula for <u>exponential growth</u> is y = ab^x.
To write this equation, we know it has to start with 48 (which is the variable a). We need to add the rate of growth. This is 11/6 (which is variable b). But we also need to account for the "every 3.5 years" part, so divide the x as an exponent by 3.5.
N(t) = 48 * 11/6^(t/3.5)
This equation is easy to test, and it's a good idea to test it after you write it. For example, after 3.5 years we know that it should have 48*11/6 branches. Does our equation work? Yes.