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expeople1 [14]
2 years ago
5

The total employment for police officers in 2006 was 648,000. If there are 719,000 police officers in 2016, what will the percen

t increase have been? a. 5. 12% b. 10. 96% c. 11. 09% d. 22. 07% Please select the best answer from the choices provided A B C D.
Mathematics
1 answer:
Sever21 [200]2 years ago
6 0

Answer:

The answer is A. 12%

Step-by-step explanation:

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2.<br>√3x + 7 + √x + 1 =2​
taurus [48]

Answer:

  x = -1

Step-by-step explanation:

The usual approach to these is to square the radicals until they are gone.

  \displaystyle\sqrt{3x+7}+\sqrt{x+1}=2\\\\(3x+7) +2\sqrt{(3x+7)(x+1)}+(x+1) = 4\qquad\text{square both sides}\\\\2\sqrt{(3x+7)(x+1)}=-4x-4\qquad\text{subtract $4x+8$}\\\\(3x+7)(x+1)=(-2x-2)^2\qquad\text{divide by 2, square again}\\\\3x^2+10x +7=4x^2+8x+4\qquad\text{simplify}\\\\x^2-2x-3=0\qquad\text{subtract the left expression}\\\\(x-3)(x+1)=0\qquad\text{factor}\\\\x=3,\ x=-1\qquad\text{solutions to the quadratic}

Each time the equation is squared, the possibility of an extraneous root is introduced. Here, x=3 is extraneous: it does not satisfy the original equation.

The solution is x = -1.

_____

Using a graphing calculator to solve the original equation can avoid extraneous solutions. The attachment shows only the solution x = -1. Rather than use f(x) = 2, we have rewritten the equation to f(x)-2 = 0. The graphing calculator is really good at showing the function values at the x-intercepts.

5 0
3 years ago
One of the base angles of an isosceles triangle is 40°. Which is the triangle classification according to its
kozerog [31]

Answer:

C. Obtuse

Step-by-step explanation:

7 0
2 years ago
A window is designed as shown below. Find the value of x
Alex787 [66]

Answer:

x=20

Step-by-step explanation:

We know that a line is 180 degrees, and the base of the cemi-circle is a line. So,  we would have:

x+7x+x=180

9x=180

x=20

Hope this helps!!

6 0
2 years ago
Read 2 more answers
What is the exact length of each line segment
ElenaW [278]

Answer:

22

Step-by-step explanation:

6 0
2 years ago
The following equation is given.
SashulF [63]

5x² - 9x + 45 = 0

Δ = b² - 4.a.c

Δ = (-9)² - 4 . 5 . 45

Δ = 81 - 4. 5 . 45

Δ = -819

There's no real root.

7 0
2 years ago
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