Given:
The graph of a quadratic function passes through the points (5,31) (3,11) (0,11).
To find:
The equation of the quadratic function.
Solution:
A quadratic function is defined as:
...(i)
It is passes through the point (0,11). So, substitute 
in (i).
Putting 
in (i), we get
...(ii)
The quadratic function passes through the point (5,31). So, substitute 
in (ii).
Divide both sides by 5.
...(iii)
The quadratic function passes through the point (3,11). So, substitute 
in (ii).
Divide both sides by 3.
...(iv)
Subtracting (iv) from (iii), we get
Putting 
in (iv), we get
Putting 
in (ii), we get
Therefore, the required quadratic equation is .
Answer:
3,564
Step-by-step explanation:
324
11
×___. if you multiply this way it might help
<span>Being able to express numbers in its equivalent forms allows you to give more accurate and correct answers. By using equivalents forms you may find a simply and easier way to solve the given equation.
For example, in fraction, by simply expressing equivalent fractions with common denominator, you can easily subtract and add the given numbers in an easy way. There are a lot of numbers that are equivalent, and there are a lot of way to solve a single problem to get a correct answer.</span>
Answer:
Average speed v = 83.8 km/h
Step-by-step explanation:
Given;
Distance travelled = 95 km
Time taken t = 12.23 - 11.15 = 1 hour 8 minutes
t = 1 + 8/60 hours = 1.133 hours.
Average speed v = distance travelled/time taken
substituting the values;
v = 95 km ÷ 1.133 hours
Average speed v = 83.8 km/h
<h2>Answer</h2>
<u>Strong, negative correlation.</u>
<h2>Explanation</h2>
So with correlations, they have two categories that they fall under.
Firstly, they either fall under <u>positive</u> or <u>negative</u> correlation. It's as it seems: positive correlation coefficients are positive numbers, negative correlation coefficients are negative numbers. In this case, our correlation is <u>negative</u>.
Next, they either fall under <u>weak</u> or <u>strong</u> correlation. If the absolute value of the correlation coefficient is closer to zero, then it's considered a weak correlation. However, if the absolute value of the correlation coefficient is closer to one, then it's considered a strong correlation. In this case, the absolute value of -0.91 is 0.91, and since that is closer to 1 this means our correlation is <u>strong</u>.
