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2 years ago

2(3x-1)-3x using the least number of terms

Mathematics

2 answers:

vfiekz [6]2 years ago

3 0

Answer:

Step-by-step explanation:

2(3x-1)-3x = 6x - 2 - 3x

= (6x - 3x) - 2

= 3x - 2

maw [93]2 years ago

3 0

If you’re asking to simplify the equation, the answer is 3x-2. Explanation: distribute the 2 on the outside of the parenthesis first to get (6x-2)-3x. You can remove the parenthesis now since there aren’t any terms trying to interact with the numbers inside the parenthesis. Now, add the like-variables (the x variables) and you should get 3x-2. Since there aren’t any more like-variables, the equation is completely simplified.

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Parallel to y=2x+1<br> Goes through (5,4)

Ket [755]

      y = mx + b
      y = 2x + 1
y - y₁ = m(x - x₁)
y - 4 = 2(x - 5)
y - 4 = 2(x) - 2(5)
y - 4 = 2x - 10
+ 4     + 4
   y = 2x - 6

6 0

2 years ago

Tyra buys 14 gallons of gas for $35. How could she figure out how much 1 gallon of gas cost

defon

Answer:

The cost of 1 gallon is $2.5

Step-by-step explanation:

Given

Cost of 14 gallons = $35

Required

Determine the cost of 1 gallon

From the given parameters, we have:

$14\ gallons = \$35$

Divide both sides by 14

$\frac{14\ gallons}{14} = \frac{\$35}{14}$

$1\ gallon = \frac{\$35}{14}$

$1\ gallon = \$2.5$

Hence,

<em>The cost of 1 gallon is $2.5</em>

4 0

3 years ago

Find the surface area of the figure?

motikmotik

Step-by-step explanation:

the surface area consists of 6 individual areas :

front and back (both are equal)

left and right (both are equal)

top and bottom

front and back are trapezoids.

the area of a trapezoid is

(base 1 + base 2)/2 × h

the bases are the 2 parallel sides.

in our case the area of one trapezoid is

(5 + 19)/2 × 12.1 = 145.2 ft²

front and back together then are 290.4 ft².

left and right are 8×14 rectangles:

8×14 = 112 ft²

together they are 224 ft².

the bottom is a 5×8 rectangle :

5×8 = 40 ft²

the top is a 19×8 rectangle :

19×8 = 152 ft²

so, the total surface area is

290.4 + 224 + 40 + 152 = 706.4 ft²

4 0

2 years ago

The processing speed of a certain computer is 10¹¹ instructions per second. Another computer has a processing speed that is 10³

Mashcka [7]

“Times as fast” means you need to multiply the original speed (10^11) by how many times faster the faster processor works:

10^11 instructions/second • 10^3 faster = 10^14 instructions/second

The key is “___ times as fast”.

7 0

2 years ago

Apply Crammer's Rule to find the solution to the following quations .2x + 3y = 1, 3x + y = 5

Bond [772]

Answer:

The solution to the equation system given is:

<u>x = 2</u>
<u>y = -1</u>

Step-by-step explanation:

First, we must know the equations given:

2x + 3y = 1
3x + y = 5

Following Crammer's Rule, we have the matrix form:

$\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] =\left[\begin{array}{ccc}x\\y\end{array}\right] = \left[\begin{array}{ccc}1\\5\end{array}\right]$

Now we solve using the determinants:

$x=\frac{\left[\begin{array}{ccc}1&3\\5&1\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(1*1)-(5*3)}{(2*1)-(3*3)} = \frac{1-15}{2-9} =\frac{-14}{-7} = 2$

$y=\frac{\left[\begin{array}{ccc}2&1\\3&5\end{array}\right]}{\left[\begin{array}{ccc}2&3\\3&1\end{array}\right] } =\frac{(2*5)-(3*1)}{(2*1)-(3*3)}=\frac{10-3}{2-9} =\frac{7}{-7}=-1$

Now, we can find the answer which is x= 2 and y= -1, we can replace these values in the equation to confirm the results are right, with the first equation:

2x + 3y = 1
2(2) + 3(-1)= 1
4 - 3 = 1
1 = 1

And, with the second equation:

3x + y = 5
3(2) + (-1) = 5
6 - 1 = 5
5 = 5

4 0

2 years ago