Question 5
To use the quadratic formula, we need to rewrite the equation so that all the terms are on one side: by subtracting (x+13) from both sides, we get that 
. The quadratic formula tells us that the roots of this are 
, where a=1, b=-1, and c=-6. This is equal to 
, which gives us the two roots -2 and 3.
Question 7
If you look at the attached graph, you will see that the graph of x^2-x-6 intersects the x-axis at the points (-2,0) and (3,0).
Question 8
The roots are the same. Both finding the x-intercepts and solving for the roots of a quadratic using the quadratic formula will give the values of x for which the function value is zero.
Container a because 1/4 is 25% and 1/8 is 0.125
Using the two given solutions and the general absolute value function we will get:
|x + 9| = 27
<h3>
Which absolute value function has that solution set?</h3>
The two solutions are:
x = 0 and x = -18.
Remember that the absolute value equation is something like:
|x - a| = b
If we want to have these solutions, then:
|0 - a| = b
|-18 -a| = b
From the first one, we have:
|-a| = b
Replacing that on the second equation we get:
|-18 -a| = |-a|
Notice that if we take a = -9, then we have:
|-18 + 9| = |+9|
|-9| = |+9|
This is true, so a = -9.
Then we find the value of b:
|18 + 9| = b = 27
Then the absolute value equation is:
|x + 9| = 27
If you want to learn more about absolute value equations, you can read.
brainly.com/question/3381225
You must convert point slope form to standard form in this problem. point= (h,k)
POINT SLOPE:
y-(-1)=(3/4)(x-2)
y+1=(3/4)x-(3/2)
y= (3/4)x-(5/2)
Answer:
4 girls and 2 boys.
Step-by-step explanation:
