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Dima020 [189]
2 years ago
8

2x +4 (3 - 2x) = 3(2x + 2)/6 + 4 from my math book

Mathematics
2 answers:
adell [148]2 years ago
8 0

2x + 4(3-2x) = 3(2x+2)/6 +4

Break the brackets :

2x + 12 - 8x = (6x+6)/6 + 4

2x + 12 - 8x = x + 5

2x + 12 - 8x - (x+5) = 0
2x + 12 - 8x - x - 5 = 0
-7x + 7 = 0

-7x = -7
x = 1.

Hope it helps :)

liberstina [14]2 years ago
4 0

Answer:

x = 1

Step-by-step explanation:

2x +4 (3 - 2x) = 3(2x + 2)/6 + 4

2x+12-8x = (6x+6)/6 +4

-6x + 12 = x+1+4

12-5 = 7x

7x = 7

x=1

Hope this helps!

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Which of the following is equivalent to the complex number i24?
Alika [10]

Answer: 1

Step-by-step explanation:

Rewrite as (i^4)^6

Rewrite i^4 as 1

Rewrite i^4 as (i^2) ^2

((i^2)) ^2)6

Rewrite i^2 as -1

((-1) ^2) 6

Raise -1 to the power of 2

1^6

One to any power is 1.

5 0
2 years ago
What is the area of this figure?
Oksanka [162]
<h3>Answer:  297 square cm</h3>

=============================================

Work Shown:

Break up the figure as shown in the diagram below.

A rectangle and trapezoid form

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

Area of rectangle = base*height = 9*15 = 135 cm^2

Area of trapezoid = (1/2)*(b1+b2)*h = (1/2)*(18+9)*12 = 162 cm^2

total area = (area of rectangle)+(area of trapezoid)

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total area = 297 square cm

3 0
3 years ago
If the slope of the linear function y=-2x-4 was changed to 3, what would the new equation be? *
olga nikolaevna [1]

Answer:

b

Step-by-step explanation:

-2 is the slope so change -2 to 3

6 0
3 years ago
13 FUNDRAISER The Cougar Pep Squad wants to sell T-shirts in the bookstore for
ANTONII [103]

Answer:

See attached worksheet.

Step-by-step explanation:

See attached worksheet for the table and graph.

I assume that "functation notation: simply means using x and y:  

  y = 2x + 3

The relationship between the number of T-shirts and cost is defined by y = 2t + 3, where:

y is the total cost,

x is the number of t-shirts,

the 2 is the cost for 1 t-shirt ($/t-shirt), and

3 is a one=time charge of $3 for each order.

The graph (attached) shows a straight line with a y-intercept of 3, the initial order fee.  It is linear since the cost of a t-shirt remains the same egardless of order size.

3 0
1 year ago
The expression y2 – 10y + 24 has a factor of y – 4. What is another factor of y2 – 10y + 24?
GREYUIT [131]

Answer:

Step-by-step explanation:

If we divide 24 by 6, we get 4, which is the other factor of 24 when given the one factor of 6. Same goes here. In order to find out what the other factor of y^2-10y+24=0 is when given one factor of y - 4, we simply divide the second degree polynomial by y - 4 to get the quotient. The quotient, then, is the other factor. Synthetic division is the easiest way to do this.

If y - 4 is the factor, then by the Zero Product Property, y - 4 = 0 and y = 4. Setting up synthetic division:

4|   1    -10     24

____________

The rule is to start by bringing down the first term, multiplying it by the number outside, then putting that product up under the next term in line:

4|   1     -10     24

<u>              4           </u>

     1

Then add the column, multiply the sum by the number outside, and put that product up under the next term in line:

4|    1     -10     24

<u>                4    -24</u>

      1      -6

And add the last column and that is the remainder. We get a 0 remainder. That means that y - 4 goes evenly into the polynomial and the other factor we are looking for is found in the numbers under the addition line. These numbers are the leading coefficients of the depressed polynomial, the polynomial that serves as the other factor: 1y - 6.

Therefore, the 2 factors that multiply together to give us y^2-10y+24=0 are (y - 4)(y - 6) and we can check ourselves by multiplying this out by FOILing to see if the result is the polynomial we started with. It is, so we're all done!

8 0
3 years ago
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