All categories

3 years ago

A) Simplify the expression and explain each step. (2 points)4(3x+2) -2= ?

Mathematics

1 answer:

TiliK225 [7]3 years ago

3 0

Answer:

6 (2 x + 1)

Step-by-step explanation:

Simplify the following:

4 (3 x + 2) - 2

Hint: | Distribute 4 over 3 x + 2.

4 (3 x + 2) = 12 x + 8:

12 x + 8 - 2

Hint: | Group like terms in 8 + 12 x - 2.

Grouping like terms, 8 + 12 x - 2 = 12 x + (8 - 2):

12 x + (8 - 2)

Hint: | Subtract 2 from 8.

8 - 2 = 6:

12 x + 6

Hint: | Factor out the greatest common divisor of the coefficients of 12 x + 6.

Factor 6 out of 12 x + 6:

Answer: 6 (2 x + 1)

You might be interested in

Easy Multiple Choice Questions about expressions and linear equations / ASAP / Will mark brainliest / 25 Points

nata0808 [166]

Answer:

1.C

2.A

3.D

4.C

5.B

6.A

7.B

8.C

9.A

10. D

Step-by-step explanation:

For Problem 1, the work is as follows:

$2(3x-1)+x\\Distribute\\6x-2+x\\7x-2$

For Problem 2, the work is as follows:

$(3x^{2} +6x+4) - (-x^{2} +2x-1)\\Distribute -\\(3x^{2} +6x+4) + (x^{2} -2x+1)\\Combine\\4x^{2} +4x+5$

For Problem 3, the work is as follows:

$5b-(a+c)^{2} \\5(3) - (-1+-4)^{2} \\15 - (-5)^{2} \\15-25\\-10$

For Problem 4, the work is as follows:

$4x-8 = -12\\+8\\4x = -4\\-4/4 = -1\\x = -1$

For Problem 5, the work is as follows:

$\frac{1}{2} (12x-6) = 2x-15\\Distribute\\\\6x - 3 = 2x -15\\+3\\6x = 2x -12\\-2x\\4x = -12\\-12/4\\x = -3$

For Problem 6, the work is as follows:

$17 *0.06 = 1.02\\17+1.02 = 18.02$

For Problem 7, the work is as follows:

$x = (2,0)\\y = (0,-1)\\\frac{rise}{run} \\y = \frac{1}{2} x-1$

For Problem 8, the work is as follows:

$y_{2} -y_{1} \\x_{2} -x_{1} \\-1-1 = -2\\0-(-2) = 2\\Slope = -1$

For Problem 9, the work is as follows:

$3y - 2x +6 = 0\\-3y\\(-3y - -2x+6)/-3\\y = \frac{2}{3} x -2$

For Problem 10, the work is as follows:

$(y-3) = -2(x-1)\\Distribute\\(y-3) = -2x+2\\+3\\y = -2x +5$

Hope this Helps!

4 0

3 years ago

**HELP**<br>find the angle measures given the figure is a rhombus.

DIA [1.3K]

Answer:

m<1=74

m<2=37

Step-by-step explanation:

m<2 is the same as the other angle, 37 degrees. So now we need to find the other angle in the triangle.

37+37+x=180.

The total degree of a triangle is 180.

x=106

Subtract that from 180 to get m<1.

180-106=74

I hope this helps!

Good luck!

3 0

3 years ago

If the scale factor of my dilation is 4 , what is happening to my shape ?

anygoal [31]

Answer:

The shape is the same

Step-by-step explanation:

we know that

A dilation is a non rigid transformation, that change the size but not the shape of the original figure

If the dilation scale factor is 4, the figure size increases by 4, but the shape remains the same

4 0

3 years ago

Factor out the greatest common factor

saveliy_v [14]

Answer:

$5x(2x - 3)$

Step-by-step explanation:

The common factor of the expression is 5x

4 0

3 years ago

Categorize the graph as linear increasing, linear decreasing, exponential

Dovator [93]

Answer:

Negative Exponential Growth.

Step-by-step explanation:

it's an exponential function because it decreases rapidly then levels out and never touches the x-axis.

hope this helped!

It is negative because the y-axis decreases as the x-axis increases.

Therefore it is a Negative Exponential Growth Graph

6 0

3 years ago