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Andrei [34K]
3 years ago
6

PLEASEEEEE HELP!! BRAINLIEST!!

Mathematics
1 answer:
ycow [4]3 years ago
5 0

Step-by-step explanation:

Rate of change = final - initial / time(in years)

= 41 - 43 / 2014 - 2012

= - 2 / 2

<u>Rate of change</u> = <u>- 1</u>

Therefore, the number of employees with health care benefits reduced by 1 person per year between 2012 - 2014 in response to policy changes.

You might be interested in
Solve the system algebraically. y = 3 -1/2 x 3x + 4y = 1 What is the value of x?
4vir4ik [10]

Answer: x=-11

Step-by-step explanation:

You can use the Method of substitution.

Substitute the equation y=3-\frac{1}{2}x into the equation 3x + 4y = 1 and then you must solve for the variable x:

3x + 4y = 1\\\\3x + 4(3-\frac{1}{2}x) = 1\\

Apply Distributive property:

3x + 12-\frac{4}{2}x = 1\\3x+12-2x=1

Subtract 12 from both sides of the equation and then add the like terms. Then you get:

3x+12-2x-12=1-12\\3x-2x=-11\\x=-11

8 0
3 years ago
What is the domain of the graphed function
azamat

Answer:

the third option. x is a real number

6 0
3 years ago
Rewrite each expression by completing the square q^2+12q+32
julia-pushkina [17]

The given expression can be written as q^{2} +12q+32 = (q+8)(q+4).

Step-by-step explanation:

Given,

q^{2} +12q+32

To make it a complete square.

Formula

(a+b)² = a^{2} +2ab+b^{2}

a^{2} -b^{2} = (a+b)(a-b)

Now,

q^{2} +12q+32

= q^{2} +2.q.6+6^{2} -6^{2} +32

= (q+6)²-36+32

= (q+6)²-4

= (q+6)²-2²

= (q+6+2)(q+6-2)

= (q+8)(q+4)

7 0
3 years ago
You are told a professional cyclist eats around 5120 calories everyday for the Tour de Abroad. Estimate how many calories a cycl
nikitadnepr [17]

Answer:

Total calories eat = 107,520 calories

Step-by-step explanation:

Given:

Number of calories everyday = 5120 calories

Number of days = 21

Find:

Total calories eat

Computation:

Total calories eat = Number of calories everyday × Number of days

Total calories eat = 5120 × 21

Total calories eat = 107,520 calories

6 0
3 years ago
Over the last three evenings, Mary received a total of 116 phone calls at the call center. The third evening, she received 3 tim
Tanya [424]
<h2>Answer:</h2>

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

<h2>Step-by-step explanation:</h2>

You need to set variables and create system of equations first.

First evening=  x

Second evening= y

Third evening = z

x+y+z=116

z=3x

y=x-9

Now you plug in the values into the equation x+y+z=116

x+(x-9)+(3x)=116

5x-9=116

5x=125

x=25

You plug in the value of x into the other equations.

x= 25

z= 3*(25)=75

y=(25-9)=16

Rearrange so it corresponds with days...

First day - 25 calls

Second day - 16 calls

Third day - 75 calls

5 0
3 years ago
Read 2 more answers
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