All categories

3 years ago

6x + 2x - 9 = 7 Solve the equation and simplify the answer

Mathematics

2 answers:

Tems11 [23]3 years ago

8 0

Answer:

x=2

Step-by-step explanation:

6x+2x-9=7

Combine like terms on each side of the equation

8x-9=7

Add 9 to each side

8x=16

Divide by 8 on each side

x=2

Harman [31]3 years ago

5 0

Simplifying

6x + -2x + -9 = 7

Reorder the terms:

-9 + 6x + -2x = 7

Combine like terms: 6x + -2x = 4x

-9 + 4x = 7

Solving

-9 + 4x = 7

Solving for variable 'x'.

Move all terms containing x to the left, all other terms to the right.

Add '9' to each side of the equation.

-9 + 9 + 4x = 7 + 9

Combine like terms: -9 + 9 = 0

0 + 4x = 7 + 9

4x = 7 + 9

Combine like terms: 7 + 9 = 16

4x = 16

Divide each side by '4'.

x = 4

Simplifying

x = 4

Step-by-step explanation:

You might be interested in

Simplify each expression

Simora [160]

$2x-2y-6x-3-2y+6=(2x-6x)+(-2y-2y)+(-3+6)\\\\=-4x-4y+3\\\\3x+4y+2y-4+5y-10=(3x)+(4y+2y+5y)+(-4-10)\\\\=3x+11y-14\\\\3x-6y-6+2x+6y+2=(3x+2x)+(-6y+6y)+(-6+2)\\\\=5x-4\\\\8x+2y+3x-9y+3x^2-2y=(3x^2)+(8x+3x)+(2y-9y-2y)\\\\=3x^2+11x-9y$

3 0

2 years ago

A certain company's main source of income is selling socks. The company's annual profit (in millions of dollars) as a function o

ivann1987 [24]

A quadratic function models the profit of the company and the maximum/minimum value of the quadratic function occurs on its vertex.

The given function is:

$P(x)=-3(x-5)^{2}+12$

The equation is already in standard form, the vertex of the parabola as seen from the equation is (5,12)

This mean if the company sets the price of socks to $5 they will earn a maximum profit which is $ 12 million

3 0

3 years ago

Read 2 more answers

Find the area of the figure

Ivenika [448]

So it's best in this case to separate both shapes so you have a rectangle and a triangle so to solve the area of a rectangle you do
The following ( picture )
So I hope this helps

5 0

3 years ago

How to find 62%of $400

gayaneshka [121]

Answer:

248

Step-by-step explanation:

Solution for What is 400 percent of 62:

400 percent *62 =

(400:100)*62 =

(400*62):100 =

24800:100 = 248

Now we have: 400 percent of 62 = 248

Question: What is 400 percent of 62?

Percentage solution with steps:

Step 1: Our output value is 62.

Step 2: We represent the unknown value with $x$.

Step 3: From step 1 above,$62=100\%.

Step 4: Similarly, x=400\%.

Step 5: This results in a pair of simple equations:

62=100\%(1).

x=400\%(2).

Step 6: By dividing equation 1 by equation 2 and noting that both the RHS (right hand side) of both

equations have the same unit (%); we have

\frac{62}{x}=\frac{100\%}{400\%}

Step 7: Again, the reciprocal of both sides gives

\frac{x}{62}=\frac{400}{100}

\Rightarrow x=248

Therefore, 400 of 62 is 248

5 0

3 years ago

Read 2 more answers

Find the solution of 3 times the square root of the quantity of x plus 5 equals negative 9, and determine if it is an extraneous

Alecsey [184]

3*(x+5)^(1/2)=-9
(x+5)^(1/2)=-3
x+5=9
x=4
3*(4+5)^(1/2)=-9
3*(9)^(1/2)=-9
3*3=-9
4 is an extraneous solution

8 0

2 years ago