<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:
No it won't
Step-by-step explanation:
Because if the length of the door is either 30 or 84 it wont fit because both of those numbers are less than 86
Answer:
x² + 7x + 49/4 = (x + 7/2)²
Step-by-step explanation:
x² + bx + c is a perfect square when c = (b/2)².
b = 7, c = (7/2)² = 49/4.
x² + 7x + 49/4 = (x + 7/2)²
Answer:
50y + 75x ≥ 1000 ;
50(15) ≥ 750;
x ≥ 4
y ≥ 15
Step-by-step explanation:
Given that :
Number of stickers sold = y
Cost of sticker = 50
Cost of bag tag = 75
Number of bag tags sold = x
Total worth of items sold ≥ 1000
1)
50y + 75x ≥ 1000
2.)
To make atleast 15 stickers
y ≥ 15
Atleast 15 stickers :
50(15) ≥ 750
3.)
A possible solution :
50(15) + 75(x) ≥ 1000
750 + 75x ≥ 1000
75x ≥ 250
x ≥ 3.33
x ≥ 4
y ≥ 15
Answer:
the answer to 315 / 3 is 105
