Darrell tracked the number of employees in his company over a six-year period. In the graph, x represents years since 2006 and y represents the number of employees. The coordinates for one data point, P, are shown.

Find the average rate of change in the number of employees per year by using the data for year 0 and year 6. Round your answer to the
nearest tenth

Answer:

Step-by-step explanation:

So what you need to do is take the two points (1, -5) and (3, -1) and subtract them. You take y of the second group and subtract y of the first group.

-1 - (-5) = 4

Now you do the first numbers in each group with the second set being the number you subtract from.

3 - 1 = 2

Now you do [tex]\frac{Rise}{Run}[/tex]. Rise = 4 Run = 2

[tex]\frac{4}{2}[/tex] = 2

Now the second part is saying y = 3x + c with your first set of numbers being x and y.

x = 1

y = -5

-5 = 3(1) + c

-5 = 3 + c

Subtract 3 from -5

-8 = c

The final answer is:

y = 3x - 8

Answer:

53.85%

Step-by-step explanation:

75-48.75= 26.25

26.25/48.75x100= 53.8461538462 Round 53.85%

Check Answer:

48.75 x 53.85%=26.251875 Round 26.25

48.75 + 26.25=75

Hence, the correct answer is 53.85%.

Answer: I simplified it for you lol

Step-by-step explanation: Simplify the matrix.

19 + 266 inches

Answer:

172 = y

Step-by-step explanation:

Using PEMDAS(parentheses, exponents, multiplication, division addition subtraction.)

Given:

12 x 12 + 3 x 8 - 10 + 19 = y

12x 12 = 144

3 x 8  = 24

144 + 24 = 168

168 - 10 = 158

158 + 19 =

177

so

177 = y

Answer:

177

Step-by-step explanation:

i dont know if its right but it might help

hope it does :)

Answer: 2,200 I took the quiz.

Step-by-step explanation: Hope this helps!✪ ω ✪

Answer:

Step-by-step explanation:

Work out 2/13 of £208

208 * 2/13 =

16 * 2 =

32

-----------------------

Answer:

23 over 15 or 1.533

Step-by-step explanation:

Group like terms:

1+(3/5+-1/15)

Find LCD:

1+9/15+-1/15

Combine numerators:

15/15+8/15

And you get 23/15

Simplified:1 8/15

Decimal: 1.533

Answer:

The answer is 8 : 22, 12:33 as they are two equelivant ratios 11 and 4

Probabilities are used to determine the chances of events

The probability that the income is at least $100,000 is 0.106

From the table, we have the following parameters:

Salary 100 - 499 = 0.100

Salary >= 500 = 0.006

The probability that the income is at least $100,000 is then calculated as:

p = 0.100 + 0.006

Evaluate the sums

p = 0.106

Hence, the probability that the income is at least $100,000 is 0.106

Read more about probability at:

https://brainly.com/question/25870256

Answer:

the answer is $1062.10

Step-by-step explanation:

explanation above

Answer:

System of equation : 14x+23y = 213 and y = x-2

The cost of regular tickets is $7 and the cost of tickets with donation is $5.

Step-by-step explanation:

Let regular ticket's cost be x and tickets with donation's cost be y.

14x+23y = 213

y = x-2

Now,

14x+23y = 213

or, 14x+23(x-2) = 213

or, 14x + 23x - 46 = 213

or, 37x = 259

so, x = 7

again,

y = x-2

or, y = 7-2

so, y = 5

Answer:

c

Step-by-step explanation:

Answer:2y>x  or x<2y

x+y < 500

The points satisfying the 2nd inequality is a triangle bordered by the x and y axes and a downward sloping line connecting points (0,500) and (500,0)

the 1st inequality is half a plane, above the line x=2y or a  line through the origin, with slope 1/2

the two overlap in a triangle bordered by the y axis, the line x+y=500 and the line x=2y

It's a triangle with vertices (333 1/3, 166 2/3) (0,500) and the origin (0,0)

Basically

Step-by-step explanation:

Answer:

See attachment

Step-by-step explanation:

y = 4x       [ the amount, y, donated to the Educational Growth Foundation to be at least four times the amount donated to the City Youth Fund, x]

y + 4x ≤ $500

The factors of the binomial 5x²+8x-4 whose multiplication will give us the trinomial are (5x-2)(x+2).

To solve the problem we will find the roots of the binomial 5x²+8x-4,

[tex]5x^2+8x-4 \\\\\text{Finding the roots of 8}\\\\=5x^2+10x-2x-4\\\\=5x(x+2) -2(x+2)\\\\=(5x-2)(x+2)[/tex]

Hence, the factors of the binomial 5x²+8x-4 whose multiplication will give us the trinomial are (5x-2)(x+2).

Learn more about Binomial expression:

https://brainly.com/question/15265533

Step-by-step explanation:

[tex] - 24 > x + 4[/tex]

[tex] - 28 > x[/tex]

Answer:

12 + m

Step-by-step explanation:

it's 12 more, which would be +12 because it's adding 12

Answer:

[tex] - 11 > 1 + a \\ - 11 - 1 > a \\ - 12 > a[/tex]

Answer:

3(8/4-2)=12

Step-by-step explanation:

3(8/2)=3*4=12

Answer:

All answers below in explanation!

Step-by-step explanation:

1. x / 3 = 15 - 5

2. 2x = 11 + 6

3. x = -12

4. 400 - 20x = 60

Answer:

407.3725

Step-by-step explanation:

Answer:

10%

Step-by-step explanation:

original price = 9000

sold for 8100

price lost = 900

percentage of price lost = 900/9000 × 100

= 10 %

Hope this helps.

Answer:

multiply

Step-by-step explanation:

It says for you to multiply.

Answer:

Multiplication...

Product means to multiply

Answer:

110 members of a sports club play atleast one of the games, football, basketball and volleyball. If 20 play football and basketball only, 15 play football and volleyball only, 26 play basketball and volleyball only, x play all the three games, 2x each play

math

Of 45 students 30 play badminton and 26 play tennis. Each student play either badminton or tennis,determine how many students play:(a)badminton only (b) tennis only

probability and statistics

At a particular school with 200 male students, 58-play football, 40-play basketball, and 8 play both. What is the probability that a randomly selected male student plays a) At least one sport b) Neither sport c) Only basketball

Answer:

No, it isn't.  

Step-by-step explanation:

The correct statement would be K + 8 = 19  <<<<<<<<\

11 + 8 equals 19 not greater than 19.

Answer:

n= - 3/5

Step-by-step explanation:

1- Substitute f ( n ) = 0 remove the parentheses

2- Calculate

3- Move the variable to the left

4- Divide both sides

Using the probability concept, it is found that:

A probability is given by the number of desired outcomes divided by the number of total outcomes.

For the experimental probability, the numbers of outcomes are taken from previous trials, hence considering the name Karen was chosen 19 times out of 123, we have that:

[tex]p_E = \frac{19}{123} = 0.1545[/tex]

For the theoretical probability, the number of outcomes are taken from the "theory", that is, before the trials, hence considering that Karen is one out of 8 names:

[tex]p_T = \frac{1}{8} = 0.125[/tex]

If the number of names in the hat was different, the total number of outcomes would for the theoretical probability would be different, hence with less names the probabilities would increase, with more names the probabilities would decrease.

You can learn more about probabilities at https://brainly.com/question/15536019

Answer:

72 is the HCF for 738, 1080 and 1332.​

the way I worked this out was by trial and error/improvement

Answer:

n = 135/7

Step-by-step explanation:

2 x long side + short side = 75

substitute measures                 ⇒ 2(1.5n + 3) + (0.5n + 1.5) = 75

multiply out brackets               ⇒ 3n + 6 + 0.5n + 1.5 = 75

gather like terms                      ⇒ 3n + 0.5 n + 6 + 1.5 = 75

combine like terms                  ⇒ 3.5n + 7.5 = 75

subtract 7.5 from both sides   ⇒ 3.5n = 67.5

divide both sides by 3.5          ⇒ n = 135/7

Answer:

5

step explanation:

Use the distance formula to determine the distance between the two points.

Distance=√(x2−x1)2+(y2−y1)2

Substitute the actual values of the points into the distance formula.

√(1−(−3))2+(7−4)2

Simplify

5

Step-by-step explanation:

Simply Equation 1

R. H. S

6x^2 -x +3-2x^2-8

==> 6x^2-2x^2 -x +3-8

==> 4x^2-x-5 .....(1)

Simply equation 2

L. H. S

4x^2+2x-5-3x

==> 4x^2 +2x-3x-5

==> 4x^2-x-5 ....(2)

Since here, RHS = LHS

both eqn (1) = eqn(2)

hence they are equal.

Answer:

yes they are equal

Step-by-step explanation:

for the equation [tex]4x^{2} +2x-5-3x[/tex] you're going to collect like terms

2x-3x=5x

so your final equation is [tex]4x^{2} -x-5[/tex]

for the equation [tex]6x^{2} -x+3-2x^{2} -8[/tex] you're going to collect like terms

[tex]6x^{2} -2x^{2} =4x^{2}[/tex]

then you're going to calculate the difference

3x-8=-5

so your final equation is [tex]4x^{2} -x-5[/tex]