Answer:
x =28
Step-by-step explanation:
We have similar triangles, so we can use ratios
12 8
------ = ----------
12+30 x
Using cross products
12x = 8*(42)
12x = 336
Divide by 12
12x/12 = 336/12
x =28
Answer:
A. 89.84
Step-by-step explanation:
Weighed mean:
Sum of the multiplications of each value by its weight, divided by the sum of the weights.
Weights:
15 had an average of 90.
7 averaged 85.
10 averaged 93.
What is the weighted mean for the 32 students taking the exam?
![M = \frac{15*90 + 7*85 + 10*93}{15 + 7 + 10} = 89.84](https://tex.z-dn.net/?f=M%20%3D%20%5Cfrac%7B15%2A90%20%2B%207%2A85%20%2B%2010%2A93%7D%7B15%20%2B%207%20%2B%2010%7D%20%3D%2089.84)
Thus the correct answer is given by option A.
Answer:
Solution,
Given,
f(x) = -4x + 7
g(x) = ![x^{3}](https://tex.z-dn.net/?f=x%5E%7B3%7D)
Now,
fog(x) = f{g(x)} = f(
) = -4
+7
For
![ax^2+bx+c=0](https://tex.z-dn.net/?f=ax%5E2%2Bbx%2Bc%3D0)
the discriminant is
![b^2-4ac](https://tex.z-dn.net/?f=b%5E2-4ac)
there are 3 basic cases of what happens for different discriminants
1. if the discriminant is less than 0, then there are no real zeroes
2. if the discriminant is 0, then it has 1 zero
3. if the discriminant is greater than 0, it has 2 zeroes
so given
![0=3x^2-7x+4](https://tex.z-dn.net/?f=0%3D3x%5E2-7x%2B4)
a=3,b=-7,c=4
thus the discriminant is
![(-7)^2-4(3)(4)=49-48=1](https://tex.z-dn.net/?f=%28-7%29%5E2-4%283%29%284%29%3D49-48%3D1)
the discriminant is 1. 1 is positive, thus the equation has 2 zeroes because the discriminant is greater than 0
the answer is the equation has two zeroes because the discriminant is greater than 0
Answer:
5.5
Step-by-step explanation:
1, 2, 5, 5, 6, 8, 9, 9
5+6=11
11 divided by 2= 5.5