Answer: He will need 8 gallons of paint for the other murals.
Step-by-step explanation:
Given: 1 gallon of paint was required to create 1 mural.
Since replicates have the same dimensions, i.e same total surface area.
So, if 8 replication need to be made, the quantity of the paint required for this will be
8 x (Quantity required for 1 mural)
= 8 x 1
= 8 gallons
Hence, he will need 8 gallons of paint for the other murals.
x = 0
f(x) = -9(3)^0
Anything to the power of 0 is 1,
f(x) = -9(1)
f(x) = -9
The answer is -9
Hope this was useful :)
sin(48°) = x / 1200ft. Multiply each side by 1200ft.
1200ft × sin(48°) = x.
x = 891.77 ft.
Answer:
Step-by-step explanation:
A quadratic equation can be factorised if and only if there are rational roots.
For any quadratic equation the discriminant decides about the nature of roots.
Thus only if the discriminant is a perfect square we can have rational roots and in this case only factorization is possible.
In the given equation
![2x^2+ 7x+ 3 = 0\\a=2, b=7, c=3\\b^2-4ac = 1](https://tex.z-dn.net/?f=2x%5E2%2B%207x%2B%203%20%3D%200%5C%5Ca%3D2%2C%20b%3D7%2C%20c%3D3%5C%5Cb%5E2-4ac%20%3D%201)
Since 1 is a perfect square we can factor and solve
![2x^2 +7x +3 = 0\\(2x+1)(x+3)=0\\x=-1/2 or x = -3](https://tex.z-dn.net/?f=2x%5E2%20%2B7x%20%2B3%20%3D%200%5C%5C%282x%2B1%29%28x%2B3%29%3D0%5C%5Cx%3D-1%2F2%20or%20x%20%3D%20-3)