Given that L is a linear function, L (5) = 100 and L (9) = 150.
a. Determine the value of L (13)

Answers

Answer 1

Answer:

L(13) = 200

Step-by-step explanation:

Linear function:

A linear function has the following format:

[tex]y = mx + b[/tex]

In which m is the slope(how much y changes when x changes by 1) and b is the y-intercept(value of y when x = 0).

Finding the slope:

L (5) = 100 and L (9) = 150.

The slope is given by the change in the output(L, which is equals to y in the general formula) divided by the change in the input(x).

Change in the output: 150 - 100 = 50

Change in the input: 9 - 5 = 4

Slope: [tex]m = \frac{50}{4} = 12.5[/tex]

So

[tex]y = 12.5x + b[/tex]

L (5) = 100

So [tex]y(5) = 100[/tex], which means that when [tex]x = 5, y = 100[/tex], and we use this to find b.

[tex]y = 12.5x + b[/tex]

[tex]100 = 12.5*5 + b[/tex]

[tex]b = 100 - 12.5*5[/tex]

[tex]b = 37.5[/tex]

So

[tex]L(x) = 12.5x + 37.5[/tex]

a. Determine the value of L (13)

L when [tex]x = 13[/tex]. So

[tex]L(13) = 12.5*13 + 37.5 = 200[/tex]


Related Questions

H ello please answer :) will give brainlst

Answers

D. Compound


hope this helped <3

Answer:

D

Step-by-step explanation:

Choose >, <, or = to compare each pair of numbers

0.842 _____ 0.824

Answers

Answer:

>

Step-by-step explanation:

Here's a trick when compareing fractions: turn them into percents then try it from there Hth!!

GIVING BRAINLIEST AND 30 POINTS IF YOU ANSWER THESE ALL! TYSM :)

Answers

Answer:

2) 98/15 meters

21/5 + 7/3 = 63/15 + 35/15 = 98/15

3) 7/12 of the loaf

1/3 + 1/4 = 4/12 + 3/12 = 7/12

4) 19/8 inches

9/8 + 5/4 = 9/8 + 10/8 = 19/8

5) 73/6 cups

29/3 + 5/2 = 58/6 + 15/6 = 73/6

Let me know if this helps!

Carla has $45. Pineapples cost $5 each and mangos cost $2 each. Let p stand for pineapples and let m stand for mangos. Write an inequality to show how many of each Carla can buy. ​

Answers

Answer

24

Step-by-step explanation:

2:2 = 8

45 / 5 = 168

168 - 45 = 123

123 - 45 = 78

78 take away the 7 is 8 , 8 x 5 = 40 / 8 = 24

Answer:

$5(p)+$2(m) ≤ $45

Step-by-step explanation:

If you have a maximum of 45 dollars you are only able to spend 45 dollars or less so the variables that are filled in with the amount of pineapples and mango´s Carla wants to buy must be less than or equal to 45

Convert 96 ounces to pounds.
6 lb.
O4 lb.
10 lb.
5 lb
PLS HELP

Answers

Answer:

6 lb

Step-by-step explanation:

i took math lol

PS. plzzzz tell me if u got it right

Answer:

6 lb

Step-by-step explanation:

there are 16 ounces in one pound

96/16 = 6 lb

Have a nice day

1-Un balón de fútbol tiene un precio de $125 + IVA

1. ¿Cuánto es el IVA del balón?

A) 125 b) 200 c) 245

Answers

Answer:

b) 200

Step-by-step explanation:

The correct answer is b) 200

1) El IVA del balón es de $ 20.

2) El precio final del balón es $ 145.

1) El Impuesto al Valor Agregado (IVA) es un impuesto indirecto que se aplica sobre el precio de compra del artículo comprado, es decir, se trata de un impuesto indirecto al consumo.

El porcentaje por concepto del impuesto varía de país en país. No obstante, el valor más común en países hispanoparlantes se ubica en torno al 16 % del precio de compra del artículo.

El IVA del balón se determina mediante la siguiente operación aritmética:

[tex]\Delta C = 0.16\cdot (125)[/tex]

[tex]\Delta C = 20[/tex]

El IVA del balón es de $ 20.

2) El precio final del producto es la suma del precio de compra y el IVA, es decir:

[tex]C = 125 + 20[/tex]

[tex]C = 145[/tex]

El precio final del balón es $ 145.  

Para aprender más sobre impuestos, invitamos cordialmente a ver esta pregunta verificada: https://brainly.com/question/24907444

Nota - El enunciado reporta numerosos errores tipográficos y está incompleto, el enunciado correcto y completo es el siguiente:

Un balón de fútbol tiene un precio de $ 125 + IVA.

1) ¿Cuánto es el IVA del balón? a) 20, b) 145, c) 325

2) ¿Cuál es el precio final con IVA del balón? a) 125, b) 200, c) 145

Which line has a slope of 0?
y= -10
2y + 6x = 0
x= – 5
y=x+5

Answers

When the equation of any line reads "y = a number",

its graph will always be a horizontal line, meaning zero slope.

So the equation y = -10 has a slope of 0 which

means its a flat or horizontal line.

I don’t understand can someone help me please

Answers

Answer:

25

Step-by-step explanation:

In this it's going to be pretty simple.

[tex]b^{2}[/tex] is going to be -3 * -3 = 9

When you have a square you multiply the number by itself.

So

9 - 4 * 1 * -4

here you have to remember order of operations.

Please - Parens

Excuse - Exponents

My - Multiplication

Dear - Division

Aunt - Addition

Sally - Subtraction.

Multiplication and Division are done at the same time left to right

Addition and Subtraction are done at the same time left to right.

So

9 - 4 * 1 * -4

You do the multiplication first.

4*1 = 4

4 * -4 = -16

Now you have

9 - - 16

This turns into

9 + 16

your answer is 25.

3.3.PS-14
Question Help
A salesperson at a jewelry store earns 4% commission each week. Last week, Jarrod sold $450
worth of jewelry. How much did he make in commission? How much did the jewelry store make
from his sales?
Jarrod earned $ in commission.
Enter your answer in the answer box and then click Check Answer.


Answers

Answer:

tis is not confirmed answer

Step-by-step explanation:

comiision: 112.5%

The police use a speed gun to monitor one part of a highway. During one hour, 4 out of 25 cars were traveling above the speed limit. What percent of cars were traveling above the speed limit.

Answers

Answer: 16%

Step-by-step explanation: Because if you look at that denominator then you can see that its 25 so if you multiplied that by 4 then you'll get 100 which is 100% so whatever you do to the denominator you have to do to the numerator so 4x4 is 16 so thats 16% and there you go.

A tower that is 130 feet tall casts a shadow 160 feet long. Find the angle of elevation of the sun to the nearest degree.

Answers

Answer:

30

Step-by-step explanation:

becuse if its the shadow you would have to subtract 130-160=30

I need help with this question I would be grateful really

Answers

Answer:

B

Step-by-step explanation:

B

the vertex is (-5,-2) which eliminates A and C. D says that the x intercepts are both positive which is obviously incorrect making B the correct answer

can you help me with this​

Answers

Answer:

85

Step-by-step explanation:

180-(67+28)

180-95

85

please mark brainliest

2.79 ? 2.790
Are they equal or which one is greater

Answers

Answer:

they are equal

Step-by-step explanation:

because you can add how many zeroes after 2.79 but it is going to still be equal.

Sarah read 215 pages of her book during the first week of vacation. During the second week she read 62 more pages then the first week. How many pages did she read in 2 weeks?

Answers

Answer:

492 Pages

Step-by-step explanation:

215+62=277

277+215=492

Which graph represents an exponential function?

Answers

Answer:

the second one is the exponential function

Identify in the given expressions, terms which are not constants. Give their numerical coefficients.
(i) 5x – 3
(ii) 11 – 2y2
(iii) 2x – 1​

Answers

Given:

The expression are

(i) [tex]5x-3[/tex]

(ii) [tex]11-2y^2[/tex]

(iii) [tex]2x-1[/tex]

To find:

The terms which are not constants and their numerical coefficients.

Solution:

Constants: The terms which are free from variables.

Numerical coefficient: Number multiplied with a variable.

(i) [tex]5x-3[/tex]

Constant = -3

Term which is not constant = 5x

Numerical coefficient = 5

(ii) [tex]11-2y^2[/tex]

Constant = 11

Term which is not constant = [tex]-2y^2[/tex]

Numerical coefficient = -2

(iii) [tex]2x-1[/tex]

Constant = -1

Term which is not constant = 2x

Numerical coefficient = 2

Therefore, the terms which are not constants are  [tex]5x,-2y^2,2x[/tex]  respectively and their numerical coefficients are 5, -2, 2 respectively.

-9xy + 9x -17xy + 9y PLS HELP

Answers

Answer:

-8xy

Step-by-step explanation:

Answer:

−26xy+9x+9y

Step-by-step explanation:

Let's simplify step-by-step.

(−9x)(y)+9x−17xy+9y

=−9xy+9x+−17xy+9y

Combine Like Terms:

=−9xy+9x+−17xy+9y

=(−9xy+−17xy)+(9x)+(9y)

=−26xy+9x+9y

There are twice as many children as adults attending a family reunion. Which fraction of the family members at the reunion are adults? PLEASE HELP!! I WILL GIVE 18 BRAINLEST POINTS!

Answers

Answer:

1/3

Step-by-step explanation:

let a = adults

so then 2a = children

a/2a(+a) = a/3a

7.13 g =
cg what is the answer​

Answers

Answer: 713 cg

Step-by-step explanation:

1 g = 100 cg

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

Given

7.13 g = ? cg

Solve

7.13 × 100 = 713 cg

Hope this helps!! :)

Please let me know if you have any questions

Add the polynomials: (3x+3x2-4x+5) + (x3-2x2+x-4)​

Answers

Answer......

x^2+3x+1

Answer:

The answer is x^2+3x+1

Step-by-step explanation:

6X + 8Y - 4Z = 5 1X + 2Y + 5Z = 9 9X - 3Y + 3Z = 6 resolverlo por metodo de Gauss jordan

Answers

Responder:

x = 4.48

y = 4.86

z = -1.04

Explicación paso a paso:

Dadas las ecuaciones simultáneas;

6X + 8Y - 4Z = 5 .... 1

1X + 2Y + 5Z = 9 ... 2

9X - 3Y + 3Z = 6 .... 3

Primero necesitamos reducir el sistema de ecuaciones

Ecuación 1 * 1

Ecuación 2 * 4

__________

6X + 8Y - 4Z = 5

4X + 8Y + 20Z = 36

Restar

6x-4x - 4z-20z = 5-36

2x-24z = 31 ... 4

también

ecuación 2 * 3

ecuación 3 * 2

_______________

1X + 2Y + 5Z = 9 * 3

9X - 3Y + 3Z = 6 * 2

_______________

3x + 6y + 15z = 27

18x - 6 años + 6z = 12

Agregar

3x + 18x + 15z + 6z = 27 + 12

21x + 21z = 39 ...... 5

Resolviendo 4 y 5

2x-24z = 31 ... 4 * 21

21x + 21z = 39 ...... 5 * 2

____________

42x - 504z = 651

42x + 42z = 78

Sustraer

-504x - 42z = 651-78

-546z = 573

z = -573/546

z = -1.05

Sustituye z = -1.05 en 4

De 4;

2x-21z = 31

2x - 21 (-1,05) = 31

2x + 22,04 = 31

2x = 31-22.04

2x = 8,96

x = 8,96 / 2

x = 4,48

Obtener y

De 2:

X + 2Y + 5Z = 9

4.48 + 2y + 5 (-1.04) = 9

2 años + 4,48-5,2 = 9

2y = 9 + 0,72

2 años = 9,72

y = 9,72 / 2

y = 4,86

Por tanto, la solución (x, y, z) es (4.48, 4.86, -1.04)

Need help. Please and thank u

Answers

Answer:

1)

(x + 3)(x + 4) = x^2 + 4x + 3x + 12 = x^2 + 7x + 12

Instead of multiplying 3 and 4 the student added them which gave them the answer of 7 when the correct answer is 12.

2)

a) x^2 + x - 2

b) x^2 - 7x + 10

c) 4x^2 - 1

d) x^2 + 10x + 25

Step-by-step explanation:

a. (x - 1)(x + 2)

x(x) - 1(x) + 2(x) - 1(2)

x^2 - 1x + 2x - 2

x^2 + x - 2

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

b. (x - 5)(x - 2)

x(x) - 5(x) - 2(x) - 5(-2)

x^2 - 5x - 2x + 10

x^2 - 7x + 10

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

c. (2x + 1)(2x - 1)

2x(2x) + 1(2x) - 1(2x) + 1(-1)

4x^2 + 2x - 2x - 1

4x^2 - 1

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

d. (x + 5)^2

(x + 5)(x + 5)

x(x) + 5(x) + 5(x) + 5(5)

x^2 + 5x + 5x + 25

x^2 + 10x + 25

In the first quarter of 2010, U.S. advertisers spent $5.9 billion on online
advertising. In the first quarter of 2011, they spent $7.3 billion. What is the
percentage rate of growth? (Round to one percentage place.)

Answers

Answer:

$1.4 B per year

Step-by-step explanation:

Write the number that is five less than ten million.

Answers

Answer:

9,999,995

Step-by-step explanation:

From a group of 25 employees, you have to choose a set of six to be team leaders. How many different sets of team leaders are possible?

Answers

Answer:

5-6 people needed fieoshshdudhsbsbz

Identify the rate of change of the function.

Answers

67Answer:67

Step-by-step explanation:

Note that “rate of change of the function” is a trivial name for “derivative of the function”.

So we just need to find the derivative of the function.

A linear equation should be easily found by:

(y - (-5)) / (x - 0) = (-5 - 0)/(0 - 2.5)
2x - y - 5 = 0
y = 2x - 5

Taking the derivative with respect to x:
dy/dx = 2

Done.
By the way it’s equivalent to the slope of the function. ; )

linear functions m and p are shown

Answers

Answer:

if it is straight line it's a linear

help me guys. NO spam or report

Answers

Answer:

Take the root of both sides and solve.

Exact Form:

A =[tex]\sqrt[3]{50}[/tex]

Step-by-step explanation:

Start at 7. Create a pattern that has multiples by 7. Stop when you have 5 numbers

Answers

Answer:

7,14,21,28,35

Step-by-step explanation:

just do multiples of 7 so 7+7=14 14+7=21 and so on so forth so the answer would be 7, 14, 21, 28, 35
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