Answer:
0.5
Step-by-step explanation:
the first significant figure is the non zero
Answer:
- C) (x − 3)2 = 25
- C) Factor out 4 from 4x2 + 40x.
Step-by-step explanation:
1. Adding the square of half the x-coefficient to both sides of the equation will "complete the square." That square is 9, so the result on the right is 16+9 = 25. Only selection C matches.
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2. To complete the square, you want to be able to put the quadratic into the form a(x -h)^2 = -k. For the purpose, it is most convenient to first factor "a" from the given quadratic. Then you can determine "-h" to be half the x-coefficient inside the parentheses.
Here, that looks like ...
4(x² +10x) = 80 . . . . . . . . . . step 1: factor out 4
4(x² +10x +25) = 180 . . . . . add 25 inside parentheses and the same number (4·25) on the right side of the equation
4(x +5)² = 180 . . . . . . . . . . . written as a square
<u>ANSWER:</u>
The solution set for the inequality 7x < 7(x - 2) is null set 
<u>SOLUTION:</u>
Given, inequality expression is 7x < 7 × (x – 2)
We have to give the solution set for above inequality expression in the interval notation form.
Now, let us solve the inequality expression for x.
Then, 7x < 7 × (x – 2)
7x < 7 × x – 2 × 7
7x < 7x – 14
7x – (7x – 14) < 0
7x – 7x + 14 < 0
0 + 14 < 0
14 < 0
Which is false, so there exists no solution for x which can satisfy the given equation.
So, the interval solution for given inequality will be null set
Hence, the solution set is
Answer:The new cost per person= $19 when there are 12 people
Step-by-step explanation:
Step 1
Let Number of people be rep as N
And Cost per person = C
such that the relationship of number of people which varies inversely with the cost per person is given as
N∝ 1/C
Introducing constant of proportionality, k, we have that
N= K/C
such that when there were 4 people the cost per person was $57, K would be
N= K/C
4 = K /57
k= 57 X 4
k=228
Step 2
Therefore If the number of people changed to 12, cost per person would be
N= K/C
12= 228 / C
C= 228/12
C= 19
The new cost per person= $19 when there are 12 people
