Write an expression equivalent to 6 - 4(3 - 6m) + 12m that is the product of two factors. Show your work.

Answer:

t=(7+5g)/3

Step-by-step explanation:

5(t-g)=2t+7

5t-5g=2t+7

5t-2t=7+5g

3t=7+5g

divide both side by 3

t=(7+5g)/3

As per linear equation, the variable 't' is subject of 5(t -g) = 2t + 7 as  [tex]t = \frac{5g + 7}{3}[/tex].

"A linear equation is an algebraic equation where each term has an exponent of 1 and when this equation is graphed, it always results in a straight line. This is the reason why it is named as a 'linear equation'.

There are linear equations in one variable and linear equations in more than one variable. The standard form of a linear equation in two variables is of the form Ax + By = C. Here, x and y are variables, A and B are coefficients and C is a constant."

The given linear equation is:

5(t - g) = 2t + 7

We can calculate the value of the variable 't' by keeping it in the left hand side of the equation and then rest of the elements on the right hand side of the equation. Now we get:

⇒ 5t - 5g = 2t + 7

⇒ 5t - 2t = 5g + 7

⇒ 3t = 5g + 7

⇒ [tex]t = \frac{5g + 7}{3}[/tex]

Therefore, the value of the variable 't' in terms of the variable 'g' is  [tex]t = \frac{5g + 7}{3}[/tex].

To learn more about a linear equation here: https://brainly.com/question/11897796

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Answer (assuming it can be in slope-intercept form):

[tex]y = \frac{3}{4} x+2[/tex]

Step-by-step explanation:

When knowing the y-intercept and a slope of a line, you can write its equation in slope-intercept form, or y = mx + b format.  

1) First, find the slope. Use two points from the graph. We can see that the points (0,2) and (4,5) are on the line, therefore substitute their x and y values into the slope formula [tex]m = \frac{y_2-y_1}{x_2-x_1}[/tex] and solve:

[tex]m = \frac{(5)-(2)}{(4)-(0)} \\m = \frac{5-2}{4-0} \\m = \frac{3}{4}[/tex]

Thus, the slope is [tex]\frac{3}{4}[/tex].

2) Next, find the y-intercept of the line by looking at the graph. The y-intercept is the point at which the line intersects the y-axis. By reading the graph, we can see that that point is (0,2), thus 2 is the y-intercept.

3) Now, using the slope-intercept formula [tex]y = mx + b[/tex], substitute the found values for the [tex]m[/tex]  and the [tex]b[/tex] to write the equation of the line.

Since [tex]m[/tex] represents the slope, substitute [tex]\frac{3}{4}[/tex] in its place. Since [tex]b[/tex] represents the y-intercept, substitute 2 in its place. This gives the following answer and equation:

[tex]y = \frac{3}{4} x+2[/tex]

Answer:

thx

Step-by-step explanation:

Answer:

The first one.

Step-by-step explanation:

solving for x:

5/2 = 7.5/x

cross multiply

2 ×7.5 =5x

x= 2×7.5/5

x= 3

solving for y:

values of the small triangle over the bigger triangle-

5/6 =7/y

cross multiply and solve for y

y= 8.4

therefore (x= 3; y= 8.4)

YOU ARE VERY WELCOME!

Answer:

2 factors.

Step-by-step explanation:

A factor is something which is multiplied by something else. (It can be a variable, number or term).

In this example, there are 2 factors: a & (3+y).

Hope this helps! Have a great day!

Answer:

Attached

Step-by-step explanation:

Answer: less= -9.41

Greater= -6.59

Step-by-step explanatio. it is

Answer:

Step-by-step explanation:

Answer:

Look at the names of the prisms above. Each type of prism is named after its base. In the figure on the left, the base is a rectangle, so it is called a rectangular prism. In the middle, the base is a triangle, so the shape is a triangular prism.

Step-by-step explanation:

Answer:

False, true, false, true

Step-by-step explanation:

Sin T = 7/25

Cos T = 24/25

Sin C = 24/25

Cos C = 7/25

Answer:

61 degrees

Step-by-step explanation:

Answer:

V=2.8cm^3

Step-by-step explanation:

The volume of a pyramid with a square base should be considered as the 2.8 cubic centimeter.

Since

perimeter of the base is 6.9 cm and the height of the pyramid is 2.8 cm.

So, here

we know that

volume of a pyramid = [tex]1/3(length * width * height)[/tex]

And,

perimeter of a square = [tex]4 * length[/tex]

6.9 = 4 x length

So,

length = 1.725

Now the volume is

[tex]= 1/3 * (1.725 * 1.725 * 2.8)[/tex]

= 2.8

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Answer:

625

Step-by-step explanation:

Let two number be x and (50-x).

The product of numbers be x(50-x).

P = 50x-x²

For maximizing the product,

[tex]\dfrac{dP}{dx}=0\\\\\dfrac{d}{dx}(50x-x^2)=0\\\\50-2x=0\\\\50=2x\\\\x=25[/tex]

So, the maximum product, P = 50(25)-(25)²

P = 625

Hence, the maximum value of the product of these two numbers is 625.

Answer:

x = 3

Step-by-step explanation:

2x + 8 = 14

2x = 6

x = 3

Answer:

3

Step-by-step explanation:

subtract 8 from both sides

then divide 2 from both sides to get x = 3

Answer:

a. 38.5

Step-by-step explanation:

The triangles are similar. That means that the ratios are the same.

x/14 = 11/4

x/31.5 = 11/9

Let's use the top one

x/14 = 11/4

4x/14 = 11

4x = 154

x = 38.5

Answer: 19

Step-by-step explanation: it says you already found X so you substitute it into angle m2

Answer:

One pound of apple = $1

One pound of Orange = $2

Step-by-step explanation:

Plz mark brainliest thanks

Answer:

Apples $1

oranges $2

Step-by-step explanation:

Answer:

Step-by-step explanation:

This is because 4 ft x 8 ft = 24 feet

24 feet times 12 (this is because there 12 inches in a foot)

288 inches

Answer:

good luck

Step-by-step explanation:

Answer:

0.125 is the answer...........

Answer:

.125

Step-by-step explanation:

.125 is bigger because 0.0125 is less than 0.125, for example:

There is a slice of cake and there is a .125 slice and a .0125, which is bigger?

Step-by-step explanation:

5/8-7/8=2/8 so that is the height

the width is 1/2

and the length is 3/8

you have too multiply 1/2 and 3/8 which is 3/16.

hope this is correct and helps u out

Answer:

30 celsius

Step-by-step explanation:

(86°F − 32) × 5/9 = 30°C

20x + 1 = 720

20x = 719

x = 35.95

Your answer: 35.95

Proof:

(5(35.95))+(35.95-10)+(3(35.95)+5)+(2(35.95)-2)+(5(35.95)+6)+(4(35.95)+2) = 720

The circumference formula is 168.6

where r is the radius given to us as 26.85, and pi is to be 3.14. In our formula then, we have

.

Doing that multiplication and rounding to the nearest tenth leaves us with a circumference of 168.6 inches.

Answer:

7x-2+5x-10+4x=180°

16x-12=180

16x=192

x=192/16

x=12

Answer:

11y²

Step-by-step explanation:

Subtract 5y² from 16y²

Answer:

11y^2

Step-by-step explanation:

16y^2 and -5y^2 are "like terms," so can be added:

16y^2

- 5y^2

-----------

11y^2

Subtract 9a from -15a:

-15a

- 9a

-------

-24a

Answer: your answer is 195

Step-by-step explanation:

Answer:

2

Step-by-step explanation:

That is the only valid reflection across line e.

Answer:

2

Step-by-step explanation:

When an image is reflected over a line the triangles are positioned the same way and the distance from the line is the same therefore your answer is 2

Answer:

42.21

Step-by-step explanation:

Answer:

42.2086752638

Step-by-step explanation:

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