Answer:
1. 10^(38)
2. total amount = 10^11 or total amount = $100000000000
Step-by-step explanation:
For every time that we multiply powers with the same base we maintain the base and sum the powers. Therefore we have:
1. (10^32)*(10^6)
10^(32 + 6)
10^(38)
2. If each of the 10^6 programmers make 10^5 then the total money they make together is the product of the number of programs with the sallary each makes. We have:
total = (10^6)*(10^5)
total = 10^(6 + 5)
total = 10^11
total = $100000000000
Answer:
180
Step-by-step explanation:
Base x Height
So 9 x 20 to get 180
Vertex form of a parabola
<span>y = a (x - h)^2 + k </span>
<span>where (h, k) is the vertex </span>
Substituting the values of h and k.
we get,
<span>y = a(x + 4)^2 + 2 </span>
<span>substituting in the point (0, -30) for x and y
</span><span>-30 = a (0 + 4)^2 + 2
</span>solve for a,
<span>-30 = 16 a + 2 </span>
<span>-32 = 16 a </span>
<span>-2 = a </span>
<span>y = -2(x + 4)^2 + 2 </span>
<span>Put y = 0 </span>
<span>-2 x^2 - 16 x - 30 = 0 </span>
<span>-2(x^2 + 8 x + 15) = 0 </span>
<span>x^2 + 8 x + 15 = 0 </span>
<span>(x + 3)(x + 5) = 0 </span>
<span>x = -3
x = -5</span>
You would fill in 9 for x so your equation would be 2(9)+3 and you would then get 21. Therefore the answer is f(x)=21
Answer:
B
Step-by-step explanation:
