Answer:

Step-by-step explanation:
Birth Rate in 1994 = 14.6 births per thousand population.
Birth Rate in 2004 = 14.32 births per thousand population.
A linear equation is of the form: y=mx+c
Where:
- x=years after 1994
- y=the birth rate
- m=Yearly Birth Rate
First, we determine the birth rate per year

Therefore, a linear equation that relates y in terms of x is of the form:

When x=0, y=14.6
14.6=-0.028(0)+c
c=14.6
Therefore, the linear equation that relates y in terms of x is:

Answer:
1/2(x+7)
Step-by-step explanation:
The interval notation is 
Explanation:
The inequality is 
Let us complete the square, we get,

Simplifying, we have,


Adding both sides of the equation by 11, we get,

Since, we know that for
, if n is even then ![-\sqrt[n]{a}](https://tex.z-dn.net/?f=-%5Csqrt%5Bn%5D%7Ba%7D%3Cu%3C%5Csqrt%5Bn%5D%7Ba%7D)
Thus, writing the above expression in this form, we get,

Also, if
then
and 
Then ,we have,
and 
Solving the inequalities, we get,
and 
Merging the intervals, we have,

Hence, writing the solution in interval notation, we have,

Therefore, the answer is 
Answer:
<u>Problem 4:</u> Option C, 32
<u>Problem 5:</u> You need to have the 2 and the x combine. Make the table 2x than 16.
<u>Problem 6:</u> x = 17
<u>Problem 7:</u> She drew a 2, x and an 16. Instead you must have 2x and 16. 2x + 16 = 50
Step-by-step explanation:
<u>Problem 4</u>
2 + x + 16 = 50
x + 18 - 18 = 50 - 18
x = 32
Answer: Option C, 32
<u>Problem 5</u>
You need to have the 2 and the x combine. Make the table 2x than 16.
Answer: You need to have the 2 and the x combine. Make the table 2x than 16.
<u>Problem 6</u>
2x + 16 - 16 = 50 - 16
2x / 2 = 34 / 2
x = 17
Answer: x = 17
<u>Problem 7</u>
She drew a 2, x and an 16. Instead you must have 2x and 16. 2x + 16 = 50
Answer: She drew a 2, x and an 16. Instead you must have 2x and 16. 2x + 16 = 50
Answer:
m= 9/8
Step-by-step explanation:
(5, 2) and (-3, -7)
Slope:
m=(y2-y1)/(x2-x1)
m=(-7-2)/(-3-5)
m=(-9)/(-8)
m=9/8