<span>a = 1/2 x b x h
h = 3b
so 1/2 x b x 3b = (1/2)(3b^2) = 150
(150 x 2)/3 = b^2
100 = b^2
b = square root of 100 = 10
h = 3b = 3 x 10 = 30</span>
Answer:
y=15x+250 (x is the number of guests)
Step-by-step explanation:
the 15 is the slope, so that is the number that has to be multiplied by. The 250 is an additional fee that doesn't change, so it's just added on.
Answer:
The answer is the option C
cube root of 
Step-by-step explanation:
Remember that
![a^{\frac{x}{y}} =\sqrt[y]{a^{x}}](https://tex.z-dn.net/?f=a%5E%7B%5Cfrac%7Bx%7D%7By%7D%7D%20%3D%5Csqrt%5By%5D%7Ba%5E%7Bx%7D%7D)
in this problem we have
therefore
![2^{\frac{4}{3}} =\sqrt[3]{2^{4}}=\sqrt[3]{16}](https://tex.z-dn.net/?f=2%5E%7B%5Cfrac%7B4%7D%7B3%7D%7D%20%3D%5Csqrt%5B3%5D%7B2%5E%7B4%7D%7D%3D%5Csqrt%5B3%5D%7B16%7D)
Answer:
X=5
Step-by-step explanation:
f(1)= -1^2+4(1)+12=15
f(2)= -2^2+4(2)+12=16
f(3)= -3^2+4(3)+12=15
f(4)= -4^2+4(4)+12=12
f(5)= -5^2+4(5)+12=7
g(1)=1+2=3
g(2)=2+2=4
g(3)=3+2=5
g(4)=4+2=6
g(5)=5+2=7
so g(5)=f(5)= X=5
