olution set for 8( 3x - 2)2(7x + 12)?

Answer:

5.5

Step-by-step explanation:

Fisrst I would rearange the equation to read 8.25 -2.75 from there you would just subtract as normally.

Answer:

The constant of proportionality k is given by k=y/x where y and x are two quantities that are directly proportional to each other. Once you know the constant of proportionality you can find an equation representing the directly proportional relationship between x and y, namely y=kx, with your specific k.

Step-by-step explanation:

Answer:

(0,4)

Step-by-step explanation:The y intercept is where the line passes through the y-axis.

Answer:

The coordinates of point p are:

x = -3.2

y = 9.6

Step-by-step explanation:

A linear relationship can be written as:

y = a*x + b

where a is the slope and b is the y-axis intercept.

For a line that passes through the points (x1, y1) and (x2, y2), the slope can be written as:

a = (y2 - y1)/(x2 - x1).

Then if we know that L1 passes through the points (6, 5) and (10, 3) the slope of this line will be:

a = (3 - 5)/(10 - 6) = -0.5

Then this line will be something like:

y = -0.5*x + b

To find the value of b we can just replace the values of one of the points in the above equation. For example if we use the point (6, 5), this means that:

x = 6

y = 5

Then we get:

5 = -0.5*6 + b

5 = -3 + b

5 + 3 = b

8 = b

Then the equation for line L1 is:

y = -0.5*x + 8

Now, for line L2 we know that it has a gradient -3 (for linear equations, the gradient is the same as the slope)

Then line L2 has a slope equal to -3

y = -3*x + b

And we know that this line passes through the origin, (0, 0)

Then if we replace the values of that point in our equation, we get:

0 = -3*0 + b

0 = b

Then line L2 is:

y = -3*x

Then our two lines are:

y = -0.5*x + 8

y = -3*x

Now we want to find the point where these lines intersect. The lines will intersect in one point that belongs to both lines, then we can use the relation:

-0.5*x + 8 = y = -3*x

-0.5*x + 8 = -3*x

now we can solve this for x.

-0.5*x + 8 = -3*x

8 = -3*x + 0.5*x

8 = -2.5*x

8/-2.5 = x = -3.2

Now we need to evaluate one of the lines on this value, i will use line L2

y = -3*(-3.2) = 9.6

Then we can conclude that the lines do intersect in the point:

x = -3.2

y = 9.6

this point is written as: (-3.2, 9.6)

Answer:

38 cents per mile

Step-by-step explanation:

Let us first calculate the total expenditure by Martha

= 21.25*3= $ 63.75

Cost of gas  =$ 63.45

Therefore cost per mile = 127.2/980= 0.1297+0.25= $0.3797 or 38 cents per mile

The solution of equations is x=3 ,y=1

A system of equations is two or more equations that can be solved to get a unique solution. the power of the equation must be in one degree.

Given;

x=3y

2x+4y=10

Substitute the first equation into the second one

2(3y)+4y=10

6y+4y=10

10y=10

Y=1

Place the answer for Y into the first equation

X=3(1)

X=3

Therefore; the value of x and y of equations will be 3 and 1

Learn more about equations here;

https://brainly.com/question/25180086

#SPJ5

Answer:

2/16

simplest form:1/8

Step-by-step explanation:

2/16

simplest form:1/8

There are 16 boys in all so 16 will be your denominator and there are to boys absent so your numerator

2/16

Then simplify by dividing 2/2

1/8

Answer:

w=[tex]\frac{40}{3}[/tex]

Step-by-step explanation:

2(2w+8)+2w=96

Distribute the 2.

4w+16+2w=96

Combine like terms.

6w+16=96

Subtract 16

6w=80

Divide 80 by 6.

w= 13.333333 or [tex]\frac{40}{3}[/tex]

Answer:

The answer is -2(14x - 9)

Step-by-step explanation:

Hoped this helped!

Sorry if this is wrong.

Answer:

yes it does

Step-by-step explanation:

Answer:

yes

Step-by-step explanation:

Answer:

Line a is parallel with line b

Step-by-step explanation:

Answer:

chemicals

Step-by-step explanation: everything we see and touch is made up of a mixture of chemicals

Answer:

243

Step-by-step explanation:

Answer:

243

Step-by-step explanation:

Answer:

About 4.5 units

Step-by-step explanation:

Please let me know if you want me to add an explanation

Answer: c = 1.59 * a

Step-by-step explanation:

You got the answer correct.

Answer:

You are correct, it is c = 1.59 * a

Step-by-step explanation:

Answer:

1/4 = 0.25

Step-by-step explanation:

Answer:

2/8

Step-by-step explanation:

i don't know what to put here but 1/4 is = to 2/8

Answer:

Step-by-step explanation:

In similar triangles, corresponding sides are in same ratio

[tex]\frac{28}{24} = \frac{3x-9}{x +8}\\\\\frac{7}{6}=\frac{3x-9}{x+8}\\[/tex]

Cross multiply,

7*(x + 8) = 6*(3x -9 )

7x + 7*8 = 6*3x - 6*9

7x +  56   = 18x - 54

          56 = 18x - 7x -54

          56 = 11x - 54

         11x - 54 = 56

               11x  = 56 +54

                11x = 110

               x = 110 /11

x = 10

PR = 3x -9

     = 30 - 9

PR = 21

Answer:

1/2 of the class

give brainliest if it helps

Answer:

(6,-9)

Step-by-step explanation:

Answer:

x=6 y=-9

Step-by-step explanation:

Answer:  

4:1

sorry if i'm wrong

Answer:

Step-by-step explanation:

54 ÷6= 9

the first one is  5:1

then take away 9

45- 9 = 36

36:9 = 4:1

Answer:

75

Step-by-step explanation:

Answer:

$8.30

Step-by-step explanation:

7.99 + 4% = 8.30

Answer:

C

Step-by-step explanation:

The 3 triangles are all similar.

Using the 2 inside then the ratios of corresponding sides are equal, that is

[tex]\frac{x}{3}[/tex] = [tex]\frac{12}{x}[/tex] ( cross- multiply )

x² = 36 ( take the square root of both sides )

x = [tex]\sqrt{36}[/tex] = 6 → C

Answer:

C) x = 6

because this is a right triangle

=> we have:

(12² + x²)(3² + x²) = (15x)²

<=> 1296 + 153x² + x⁴ = 225x²

<=> x⁴ - 72x² + 1296 = 0

<=> (x² - 36)² = 0

<=> x² = 36

=> x = 6

Answer:

thank for the points hsushajwhshbsjsbsjs

Answer:

197.82

Step-by-step explanation:

The formula for cylinder volume is

π * r^2 * h

r is radius h is height

3.14 * 3^2*7

3.14 * 9 * 7

28.26*7

197.82

The volume is 197.82

Responder:

a) 2

b) 5

c) 4

d) 3

Explicación paso a paso:

Debemos encontrar el MCD de los siguientes números

a) 54, 76, 114

encontrar los factores primos de cada

54 = 2 * 3 * 3 * 3

76 = 2 * 2 * 19

114 = 2 * 2 * 2 * 2 * 3 * 3

De los factores anteriores, podemos ver que solo 2 es común a todos los factores, por lo tanto, el MCD de 54, 76 y 114 es 2

b) Para 35, 50 y 120

35 = 5 * 7

50 = 2 * 5 * 5

120 = 2 * 2 * 2 * 3 * 5

De los factores anteriores, podemos ver que solo 5 es común a todos los factores, por lo tanto, el MCD de 35, 50 y 120 es 5

c) Para 12, 16 y 20

12 = 2 * 2 * 3

16 = 2 * 2 * 2 * 2

20 = 2 * 2 * 5

De los factores anteriores, (2 * 2) es común a todos ellos, por lo tanto, el MCD de 12, 16 y 20 es 4

d) Para 56 y 120

56 = 2 * 2 * 2 * 7 = 8 * 7

120 = 2 * 2 * 2 * 3 * 5 = 8 * 3 * 5

De los factores anteriores, podemos ver que solo 8 es común a todos los factores, por lo tanto, el MCD de 56 y 120 es 8.

Por tanto, c = 8

Necesario

24 / c

= 24/8

= 3

Por tanto, el resultado de 24 / c es 3

Answer:

55

Step-by-step explanation:

g(-4)=-20-5 or -25

f(g(4)=-2(-25)+5 or 50+5