Let's examine the given function first:
f(x) = x^2 + 1 is the same as f(x) = 1(x-0)^2 + 1.
The vertex of the graph of this function is at (0, 1).
Let x=0 to find the y-intercept: f(0)=0^2+1 = 1; y-int. is at (0,1) (which happens to be the vertex also)
Comparing f(x) = x^2 + 1 to y = x^2, we see that the only difference is that f(x) has a vertical offset of 1. So: Graph y=x^2. Then translate the whole graph UP by 1 unit. That's it. Note (again) that the vertex will be at (0,1), and (0,1) is also the y-intercept.

1 bunch of balloons contain 6 balloons

Number of balloons in 4 bunches = ?

- <em>To</em><em> </em><em>find</em><em> </em><em>the</em><em> </em><em>number</em><em> </em><em>of</em><em> </em><em>balloons</em><em> </em><em>in</em><em> </em><em>4</em><em> </em><em>bunches</em><em> </em><em>we</em><em> </em><em>need</em><em> </em><em>to</em><em> </em><em>multiply</em><em> </em><em>the</em><em> </em><em>bumber</em><em> </em><em>of</em><em> </em><em>balloons</em><em> </em><em>in</em><em> </em><em>1</em><em> </em><em>bunch</em><em> </em><em>by</em><em> </em><em>the</em><em> </em><em>number</em><em> </em><em>of</em><em> </em><em>bunches</em><em>.</em>


➪ <em>T</em><em>h</em><em>u</em><em>s</em><em>,</em><em> </em><em>T</em><em>h</em><em>e</em><em>r</em><em>e</em><em> </em><em>a</em><em>r</em><em>e</em><em> </em><em>2</em><em>4</em><em> </em><em>b</em><em>a</em><em>l</em><em>l</em><em>o</em><em>o</em><em>n</em><em>s</em><em> </em><em>i</em><em>n</em><em> </em><em>4</em><em> </em><em>b</em><em>u</em><em>n</em><em>c</em><em>h</em><em>e</em><em>s</em><em>.</em><em>.</em><em>.</em><em>~</em>
Answer:
y=25600
y=100(2)^{2t}
y=252
Step-by-step explanation:
A bacteria culture starts with 100 bacteria and doubles in size every half hour.

where x represents the number of hours
(a) t= 4 hours
Plug in 4 for t and find out the number of bacteria y

25600 bacteria

convert 40 seconds into hour
40 divide by 60 =2/3

The graph is attached below
Answer:
17 days and a half.
Step-by-step explanation:
First, we can find how much money he makes per day cutting lawns. This can be found with the equation:
40 x 5 = 200
He makes $200 a day cutting lawns.
Now we can divide his goal money ($3500) by his daily rate ($200) to get the number of days it will take to reach his goal.
3500 ÷ 200 = 17.5
It will take him 17.5 days to reach his goal.
Answer:
Step-by-step explanation:
a b c
d e f
solution is b,e