Answer:
<h2>p = 4</h2>
Step-by-step explanation:
A quadratic equation has equal/repeated solutions when a discriminant (Δ) is equal 0.
The formula of a discriminant (Δ) of equation
![ax^2+bx+c=0\\\\\Delta=b^2-4ac](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0%5C%5C%5C%5C%5CDelta%3Db%5E2-4ac)
We have the equation
![4x^2+8x+p=0\to a=4;\ b=8;\ c=p](https://tex.z-dn.net/?f=4x%5E2%2B8x%2Bp%3D0%5Cto%20a%3D4%3B%5C%20b%3D8%3B%5C%20c%3Dp)
substitute
![\Delta=8^2-4\cdot4\cdot p=64-16p\\\\\Delta=0\iff64-16p=0](https://tex.z-dn.net/?f=%5CDelta%3D8%5E2-4%5Ccdot4%5Ccdot%20p%3D64-16p%5C%5C%5C%5C%5CDelta%3D0%5Ciff64-16p%3D0)
subtract 64 from both sides
![-16p=-64](https://tex.z-dn.net/?f=-16p%3D-64)
divide both sides by (-16)
![\dfrac{-16p}{-16}=\dfrac{-64}{-16}\\\\p=4](https://tex.z-dn.net/?f=%5Cdfrac%7B-16p%7D%7B-16%7D%3D%5Cdfrac%7B-64%7D%7B-16%7D%5C%5C%5C%5Cp%3D4)
Answer:
5
Step-by-step explanation:
We cannot repeat an x value for the relation to be a function
Since x=3 ,4, 7 are already used
We must let x=5
y = f(x) + c is the graph y = f(x) shifted upward c units.
y = f(x) - c is the graph of y = f(x) shifted downward c units.
y = f(x - c) is the graph of y = f(x) shifted to the right c units.
y = f(x + c ) is the graph of y = f(x) shifted to the left c units.
What we know:
.26 per ounce of crackers
1 box=10ounces
Waht we need to find:
Cost of box= $2.60
.26×10=2.60