Answer:
y = (x - 4)² - 26
Step-by-step explanation:
To complete the square, all we need to do is take term -8x, and add enough to make the equation come out to the square of half that. Half of -8 is -4, so we need to add 26 to the equation to end up at 16:
Giving us the final result
Answer:
10
Step-by-step explanation:
3 x 5 = 15 so 2 x 5 = 10
Answer:
Each friend gets 0.7 cookie
8 cookies
Step-by-step explanation:
A.
Number of cookies = 7
Number of friends = 10
how much cookie will each friend receive?
Number of cookie each friend get = number of cookies / number of friends
= 7/10
= 0.7 cookie
Each friend gets 0.7 cookie
B.
If each friend 1 1/2 cookies
how many more cookies would she need?
Total number of cookies needed = 1 1/2 × 10
= 3/2 × 10
= 30/2
= 15 cookies
She already has 7 cookies
Number of cookies needed more = 15 cookies - 7 cookies
= 8 cookies
Answer:
There were 10 flies originally
Step-by-step explanation:
Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;
V = I(1+r)^d
where V is the number of flies on a particular day
I is the initial number of flies
r is the constant increase in percentage
and d is the number of days.
So we have for the second day;
60 = I(1+r)^2 ••••••(i)
For the fourth day, we have;
360 = I(1+r)^4 ••••••••(ii)
divide equation ii by i; we have;
360/60 = (1+r)^4/(1+r)^2
6 = (1+r)^2
(√6)^2 = (1+r)^2
1 + r = √6
r = √6 - 1
So we can substitute the value of r in any of the equations to get I which is the initial number of flies
Let’s use equation 1
60 = I(1 + r)^2
60 = I(1 + √6 -1)^2
60 = I(√6)^2
60 = 6I
I = 60/6
I = 10 flies
Answer:
0 ≤ x ≤ 70
Step-by-step explanation:
The range is defined by all values in the y-axe that are represented in the graph. In this case, we see the graph goes from 0 to 70, that will be the range.
PD. The representation is a non function.
