Answer: g(x) = (x-2)^2 + 1. Choice C
===========================================================
Explanation:
The graphs have the same shape, which means they have the same 'a' value.
In this case, a = 1.
The vertex of the red graph is (0,0).
The vertex of the blue parabola is (2, 1)
The red curve has been shifted 2 units to the right and 1 unit up.
Since the vertex of the blue graph is (2,1), this means h = 2 and k = 1.
Plug a = 1, h = 2 and k = 1 to get...
y = a(x-h)^2 + k
y = 1(x-2)^2 + 1
g(x) = (x-2)^2 + 1
Suppose u = (1,2,3), v = (2, -3, -4), and w = (1,0,-2). (a) Find u-2v + 3w. (b) Write the vector (3,4,5) as a linear combination
marishachu [46]
<h2>
Answer with explanation:</h2>
We are given vectors u,v and w as follows:
(a)
Now we are asked to find the value of:
The value is calculated as follows:
Hence,
(b)
We are asked to represent (3,4,5) as a linear combination of u, v, and w.
Let:
i.e.
on multiplying equation(1) by 2 an then adding equation (1) to equation (3)
on putting the value of a in equation (2) we get:
Now on putting the value of a and b in equation (1)
Hence, we have:
You added 3 and -5 and got a sum of <em>8 .</em>
Do you still feel OK with that, or could you think about it
one more time just to make sure ?
Answer:
Step-by-step explanation:
a) The equation we can use is:
<u>d = s x t</u>
d = distance
s = speed
t = time
b)
There's a clue giving us the information that how long the bee flies directly back to the hive, it is known that it is <u>away from the hive for 13 minutes</u> while the bee <u>stays at the flowerbed for only 11 minutes</u>.
=> So we can assume that the bee flies back to the hive at the speed of 4 feet per second for 2 minutes
Using the equation above, we can write that: 6 x 60 x 2 = 720 ft
=> So in the end, the distance of the flowerbed from the hive is 720 ft
<em>c) I don't really understand this question</em>
Let x be the unknown number.
The sum of x and seven hundred is 
Ten thousand times this sum is 
