<h2>Steps:</h2>
So firstly, since we know that the coefficient of x² is 1, this means that this is our base equation:
y = x² + bx + c
Now, since we know that the roots are -7 and 1, set y = 0 and set x = -7 and 1 and simplify:

Now with this, we can set up a system of equations to solve for b and c. For this, I will be using the elimination method. For this, subtract the 2 equations:

Now that the c variable has been eliminated we can solve for b. For this, divide both sides by -8 and your first part of your answer is b = 6.
Now that we know the value of b, plug it into either equation to solve for c:

<h2>Answer:</h2>
<u>Putting it together, your final answer is x² + 6x - 7 = 0.</u>
Answer:
Perimeter = 70ft
Step-by-step explanation:
Area of a rectangle is:
area = (length * width)
150 = a * b
a = 6b
a = length
b = width
then:
150 = 6b*b
150 = 6b²
b² = 150/6
b² = 25
√b² = √25
b = 5ft
a = 6b
a = 6*5
a = 30ft
then:
perimeter of a rectangle is:
p = 2(a+b)
p = 2(30 + 5)
p = 2*35
p = 70ft
A total of 440 students took part in the survey. Each student makes up 0.8181818182% of the central angle of the circle graph. You get to this number by dividing 360 degrees by 440 students. Then you simply multiply this number by 110 students (who liked the program).
0.8181818182%*110=90 degrees