Answer:
11 and 12
Step-by-step explanation:
x=smaller
y=larger
2y=3x-9 x+1=y
2(x+1)=3x-9
2x+2=3x-9
11=x
11+1=y
12=y
A group of a 1,000 randomly chosen individuals took a test that measures verbal reasonings and also a test that measures problem-solving abilities a correlation coefficient .06 was found between the two scores on the test for this group. What is the correlation coefficient?
Answer:
17.4 ft²
Step-by-step explanation:
The formula to find the area of a triangle:
1/2 x b x h, where b is the base and h is the height.
1) Substitute the given values into the formula and solve it.
= 1/2 x 6 x 5.8
= 1/2 x 34.8
= 17.4
First, we are going to find the vertex of our quadratic. Remember that to find the vertex

of a quadratic equation of the form

, we use the vertex formula

, and then, we evaluate our equation at

to find

.
We now from our quadratic that

and

, so lets use our formula:




Now we can evaluate our quadratic at 8 to find

:




So the vertex of our function is (8,-72)
Next, we are going to use the vertex to rewrite our quadratic equation:



The x-coordinate of the minimum will be the x-coordinate of the vertex; in other words: 8.
We can conclude that:
The rewritten equation is

The x-coordinate of the minimum is 8