Answer:
There's not enough information to answer the question.
Step-by-step explanation:
The question says that out of 84 kids, 3/7 bought their lunches. Then it asks how many of the 3/7 got pizza without providing a number of those who bought a different food. And so, there's not enough information to solve this question.
Answer:
(6,5)
Step-by-step explanation:
The slope means y travels 2 while x travels 1. So 5+1 would be x and 3+2 would be y.
Answer:
True.
Step-by-step explanation:
Let a,b,c integers and a | (ab+c), that is to say that there exist a integer k such that ab+c = ka. Then:
ab+c = ka
c = ka-ab
c = a(k-b). So, c is a multiple of a, that is a | c.
Answer:
The solution is 
Step-by-step explanation:
From the question we are told that
The function is
, -1 < x < 1 a = 4
Here we are told find 
Let equate

So
![4 + x^2 + tan[\frac{\pi x }{2} ] = 4](https://tex.z-dn.net/?f=4%20%2B%20%20x%5E2%20%20%2B%20tan%5B%5Cfrac%7B%5Cpi%20x%20%7D%7B2%7D%20%5D%20%3D%20%204)
![x^2 + tan[\frac{\pi x }{2} ] = 0](https://tex.z-dn.net/?f=x%5E2%20%20%2B%20tan%5B%5Cfrac%7B%5Cpi%20x%20%7D%7B2%7D%20%5D%20%20%3D%20%200)
For the equation above to be valid x must be equal to 0
Now when x = 0
![f(0) = 4+0^2 + tan [\frac{ \pi * 0}{2} ]](https://tex.z-dn.net/?f=f%280%29%20%3D%204%2B0%5E2%20%2B%20tan%20%5B%5Cfrac%7B%20%5Cpi%20%2A%200%7D%7B2%7D%20%5D)
=>
=> 
Differentiating f(x)

Now
since
We have

Now


Answer:
B. 31°, 106°, and 43°.
Step-by-step explanation:
the sum of the measures of the angles in a triangle add up to 180°, so:
3x+1+11x-4+5x-7=180
19x-10=180
19x=190
x=10
now that we know x is equal to 10, we can find the three angle measures:
3x+1 -> 3(10)+1 = 31°
11x-4 -> 11(10)-4 = 110-4 = 106°
5x-7 -> 5(10)-7 = 50-7 = 43°
so, the answer is B.