What is the average rate of change of the functionf(x)=20(14)x from x = 1 to x = 2?



Enter your answer, as a decimal, in the box.

Answer:

a) line a= 5/9 line b= 5/9

Step-by-step explanation:

Use the slope formula:

m =    y2 - y1  

         x2 - x1

Plug-in the known values for each line:

Line A:     -1 - 4 = -5    =  5  

               -3 - 6      -9         9

Line B:     5 - 0  =  5  

               3 - (-6) =   9

Answer:

P=0.025x+100

Step-by-step explanation:

The y-intercept of the function is 100 which represents the base pay Sydney makes regardless of computer sales.

that's the correct answer^^^

y = 1/40x + 100 is  an equation that represents P as a function of X

A linear function in mathematics is one that has either one or two variables and no exponents. It is a function with a straight line as its graph.

Given, Sydney is a salesperson who sells computers at an electronics store. She makes a base pay amount each day and then is paid a commission as a percentage of the total dollar amount the company makes from her sales that day.

Let the equation of line y = kx + b

Where b is 100

Since the given line passes through (0, 100) and (4000,200)

since For a line k = (y₂ - y₁)/(x₂ - x₁)

Thus, k = (200 -100)/(4000-0)

k = 1/40

Thus,

y = 1/40x + 100

Therefore, an equation that represents P as a function of X is y = 1/40x + 100.

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Complete question:

Answer:

D

Step-by-step explanation:

:) hard to explain, and takes a LOT of typing I don't really wanna do

m1=51

m2=18

m3=123

m4=39

***remember the 180 rule, and supplementary/complementary angles!

180 rule: all triangle's internal angles add up to 180, this means if you know any two angles you can always find the last one

supplementary angles:

angles that add up to 180, 180 is a straight line so they can be found on almost all triangle problems.

if there is a straight line and you know one of the angles that is on the line, you can find the other one by subtracting it from 180

complementary angles:

same thing ^ but with 90

i hope my explanations make sense! let me know if you have any more questions :)

Answer:

the correct answer is D.

Answer:

-.25 + 2 keep adding a number to -.25 and youll figure it out, also without the x itll need 8.25 more to equal 10 or more to get past 10.

Step-by-step explanation:

Answer is 12

Because -6 + 6 = 12

Answer:

Its definitely B 84.5

I took the test

Step-by-step explanation:

Answer:

87

Step-by-step explanation:

The median score is the score that appears in the middle of the graph and the set of numbers. 87 is the median score.

Answer:

1) r >-5       2) x >9

Step-by-step explanation:

Answer:

6 more teachers are required.

Step-by-step explanation:

Total number of students = 616

No of teachers = 616/28= 22

Increase in students = 18%

                                = 18/100*616= 110.88= 111

Total number of students = 616+111= 727

Decrease in teachers = 9%

                                 = 9/100*22= 1.98= 2

New number of teachers= 20

Now Average is 28 students per teacher so

727/28= 25.96= 26 teachers are required for the total number of 727 students. The school has already 20 teachers so they need 6 more teachers.

Answer:

4 dollars to get 1 yard

Step-by-step explanation:

Answer:

The value  is [tex]P_o = \$ 561958.9 [/tex]

Step-by-step explanation:

From the question we are told that

  The capacity of the metal  tank is  [tex]C =  2000 \  gallon[/tex]

   The duration usage is  [tex]t = 15\ years \ ago[/tex]

   The cost of 2000-gallon tank 15 years ago is [tex]P =  \$100,000[/tex]

    The capacity of the second tank considered is [tex]C_1 = 5,000[/tex]  

    The power sizing exponent is [tex]e = 0.57[/tex]

     The initial construction cost index is  [tex]u_1 = 180[/tex]

      The new construction after 15 years cost index is  [tex]u_2 =600[/tex]

Equation for the power sizing exponent is mathematically represented as

      [tex]\frac{P_n}{P} = [\frac{C_1}{C} ]^{e}[/tex]

=> Here [tex]P_n[/tex] is the cost of 5,000-gallon tank as at 15 years ago  

So

     [tex]P_n  =  [\frac{5000}{2000} ] ^{0.57} * 100000[/tex]

      [tex]P_n  =  \$168587.7[/tex]

Equation for the cost index exponent is mathematically represented as

      [tex]\frac{P_o}{P_n}  =  \frac{u_2}{u_1}[/tex]

Here[tex]P_o[/tex] is the cost of 5,000-gallon tank today

So

       [tex]\frac{P_o}{168587.7}  =  \frac{600}{180}[/tex]

=>    [tex]P_o = \frac{600}{180} * 168587.7[/tex]

=>      [tex]P_o = \$ 561958.9 [/tex]

Answer:

FG = 18

Step-by-step explanation:

FG + GH =  FH

FG + 31 = 49

Subtract 31 from each side

FG +31-31 = 49-31

FG = 18

Answer: FG is 18

Step-by-step explanation: FG + GH is FH, GH is 31 and then you substitute 31 in for GH which makes the equation FG+31=49 49-31 is 18 which means FG is 18

Answer:

So I believe you are supposed to find the common denominator between the two so we know that 2 times 2 is 4 and 3 times 3 is nine, and when you multiply 2 and three you get 6. I believe the answer is (6).

Step-by-step explanation: A=6

Answer:

2/3

Step-by-step explanation:

Answer:

2/3

Step-by-step explanation:

Slope equals rise/run. You find one perfect point  (-2,0) and another along the line (1,2)

You count how many units up (rise) from the first point to the second point, and then you go over (run) to the second point. Your rise over your run is your slope.

Answer:

the third graph

Step-by-step explanation:

2x<6/÷2 we get x<3

3x+2>-4

3x>-4-2

3x>-6/÷3

x>-2

Answer:

Basically how inequalities work is that they restrict equations into certain parts of graphs. So the answer would be C.

Step-by-step explanation:

You can do normal division on inequalities so you can do 2x<6 and then divide both sides by 2 to get the unit value of x. You get x<3

When something is < or >, the inequality graph will be an open circle.

When something is ≥ or ≤, the sign is a closed circle which basically means a filled in circle. Since both inequalities have the > or < sign, you know that both graphs have to have open circles, which basically mean a circle where you can see the center as a different color. It will be a circle like an o.

You now know that it is either A or C, but how to know which one?

You can simplify the inequalities as you know from before that 2x<6 is equal to x<3 so you can graph that on a number line. X is less than three, so the line should run away from three down to 0 and the infinity of negative numbers. C is the only answer that fits it. You may wonder though, "Why in C, does the line stop at -2 with another open circle?" That is because are two inequalities.

The first is x<3

but the other is 2x+2>-4

You can simplify that by subtracting 2 from both sides to get 2x isolated on the left side. You get 2x>-6.

Now you can divide both sides by 2, as we did previously at the beginning. You get x>-3 from dividing.

Finally you can graph that on the number line, but you know that x is greater than -3, so it should be an open circle starting from -3 heading out to the infinite cosmos of positive numbers.

BUT...

The two inequalities are separated by "and," meaning that they are related  by the fact that they are directly connected. There are two possible words that separate inequalities, "and," and, "or."

In "or" statements, the two inequalities are not related, so the two inequalities would keep on going forever without regard to the other.

In "and" statements, the two inequalities are related, so the two inequalities would depend on each other to end off each other.

SO

Because they are connected with the word And,

They would end off at each other, so the original inequalities would depend on each other to continue, or to end off.

That is why the two inequalities would be a line from anything greater than -2 all the way to all the numbers below 3. The numbers could be anything from -1.999999999999999... forever, as long as they do not equal or go less than -2. The numbers could be anything from 2.99999999... forever, as long as they do not equal or go over 3.

Hope this helps!

Answer:

r = 66

Step-by-step explanation:

Calculate the slope m using the slope formula and equate to - 4

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (12, 10) and (x₂, y₂ ) = (- 2, r)

m = [tex]\frac{r-10}{-2-12}[/tex] = [tex]\frac{r-10}{-14}[/tex] , then

[tex]\frac{r-10}{-14}[/tex] = - 4 ( multiply both sides by - 14 )

r - 10 = 56 ( add 10 to both sides )

r = 66

Answer:

5

Step-by-step explanation:

2x+10+3x-6=29

5x+4=29

5x=25

x=5

Answer:

8 in each row

Step-by-step explanation:

1)x+30=40

x=40-30

Answer :x=10

2)30-20+2x=10

10+2x=10

2x=0

Answer: x=0

3)3x-10+13=-2x+28

3x+3=-2x+28

3x+2x+3=28

3x+2x=28-3

5x=28-3

5x=25

x=5

4)13x-23-45=-7x+12

13x-68=-7x+12

13x+7x-68=12

13x+7x=12+68

20x=12+68

20x=80

x=4

5)2(x+4)=10x+24

2x+8=10x+24

2x-10x+8=24

2x-10x=24-8

-8x=24-8

-8x=16

x=-2

6)3(x-5)=1-(2x-4)

3x-15=1-(2x-4)

3x-15=1-2x+4

3x-15=5-2x

3x+2x-15=5

3x+2x=5+15

5x=5+15

5x=20

x=4

7)5x-10=15

5x=15+10

5x=25

x=5

8)x+4=x+6

4=6

no solution

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Answer:

$1850

Step-by-step explanation:

The annual cost of Martinez's family membership for medical insurance is $3,900.

The company pays 50% of the cost.

So, the cost paid by the company= 50% of $3,900.

[tex]=\frac {50}{100}\times 3900=\$1850[/tex]

The remaining cost for the family medical insurance must be paid by Gail Martinez.

So, the annual payment by her =$3900-$1850=$1850

Hence, she pays $1850  annually for medical insurance.

Answer:

4329

Step-by-step explanation:

I coan't really explain this sorry.

I hope this helps though!

Also if it's correct could I have a Brainly I need 1 more to level up :3 Thx!

Answer:

The answer is 13 hope it helps!<3

Step-by-step explanation:

Answer:

x does equal -2

Step-by-step explanation:

Substitue x = -2:

[5(-2) -2 = -12]

Simplify:

[-10-2 = -12]

Add/Subtract from left to right:

[-12 = -12]

Therefore:

x = -2

Answer:

Caleb's net monthly income would be $541.64

Step-by-step explanation:

His monthly take home pay from restaurant is $501.64

Since he earns additional $40 per month for dog walk,

Therefore, his monthly pay would be ;

= $501.64 + $40

Caleb's net monthly income =$541.64

Caleb's monthy regular expenses including car insurance and books is

$355.

An equation is written in the form of variables and constants separated by the operation of multiplication and division,

An equation states that terms in different forms on both sides of the equality sign are equal.

Multiplication and division do not separate the terms of an equation.

From the given information, The total net earnings of Caleb is,

= $(501.64 + 40).

= $541.64.

Now, The expenses for Car insurance, Gas, and cell phone recharge is,

= $(110 + 65 + 30).

= $205.

Again, For books and personal needs, he have to spend $(300 + 600).

= $900.

Monthly it is,

= 900/6.

= $150.

Therefore, Caleb's regular expenses is,

= $(205 + 150).

= $355.

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Answer: -6 You answered your own question-

Answer:

9/28

Step-by-step explanation:

just divide by 2

Answer: 9/28

Steps: 18/56

Factor the number:  8 = 2 · 9

Factor the number:  56 = 2 · 28

Cancel the common factor: 2

9/28

Plz mark brainliest:)

Answer:

340 m³

Step-by-step explanation:

Hi there !

V = Ab×h

= 34m²×10m

= 340 m³

Good luck !

The volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

Given the following data:

To find the volume of the room:

Mathematically, the volume of a room is given by the formula:

[tex]V = Bh[/tex]

Where:

Substituting the given parameters into the formula, we have;

[tex]V = 34 \times 10[/tex]

Volume = 340 cubic meter.

Therefore, the volume of a room with a base area of 34 [tex]m^2[/tex] is equal to 340 cubic meter.

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