Answer:
32
Step-by-step explanation:
Evaluate g(4), then substitute the value obtained into f(x) , that is
g(4) = 4² - 6 = 16 - 6 = 10, then
f(10) = 3(10) + 2 = 30 + 2 = 32
Answer:
y = x - 4
Step-by-step explanation:
<u>Use point slope form: (y - y1) = m(x - x1)</u>
m = 1
<u>Step 1: Plug in</u>
(y - (-3)) = 1(x - 1)
y + 3 - 3 = x - 1 - 3
y = x - 4
Answer: y = x - 4
When Jamie has $200 to purchase skateboard equipment, he will have spent more than 50 percent.
<h3>How to calculate the percentage?</h3>
From the information given, the total amount spent will be:
= $100 + $60 + $30 + $20 + $20 + $50 + $115
= $395
Since Jamie has $200 to purchase skateboard equipment, the percentage will be:
= 200/395
= 0.51
= 51%
Learn more about percentages on:
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Correlation coefficient helps us to know how strong is the relation between two variables. The strength of the model is a strong positive correlation.
<h3>What is the correlation coefficient?</h3>
The correlation coefficient helps us to know how strong is the relation between two variables. Its value is always between +1 to -1, where, the numerical value shows how strong is the relation between them and, the '+' or '-' sign shows whether the relationship is positive or negative.
- 1 indicates a strong positive relationship.
- -1 indicates a strong negative relationship.
- A result of zero indicates no relationship at all, therefore, independent variable.
Hence, the strength of the model is a strong positive correlation.
Learn more about Correlation Coefficients:
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Answer:
Zeros of a function: x = 1 and x = -10
Step-by-step explanation:
A zero of a function is the value of x when f(x) = 0. In other words it is the intersect point between x and y=f(x), when y =0.
First we need to make f(x)=0, so we would have: 
.
If we factorize this quadratic function, we would have: 
So we get x = -10 and x = 1.
- x = 1 means that the diver hits the water 1 foot away horizontally from the board.
- x=-10 means the diver hits the water 10 feet behind the diving board.
Hope it helps!
