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3 years ago

2(6 − 2x) + 3x = 4 + 2(5 + x) what is x

1 answer:

5 0

First let's get rid of the parenthesis:

12 - 4x + 3x = 4 + 10 + 2x

Now group the x's on the left and the numbers on the right

-4x + 3x - 2x = 4 + 10 - 12

...and simplify

-3x = 2

divide by -3 to isolate x

x = -2/3

You might be interested in

If the circumference of a circle measures 3/2TT cm, what is the area of the circle in terms of TT?

diamong [38]

Answer:

A = pi 9/16 cm^2

Step-by-step explanation:

The circumference is 3/2 pi

The circumference is given by

C = 2 * pi *r

3/2 pi = 2 * pi *r

Divide each side by 2 *pi

3/2 pi / 2 pi = 2 pi r /2pi

3/4 cm = r

Now we can find the area

A = pi r^2

A = pi ( 3/4) ^2

A = pi 9/16 cm^2

7 0

3 years ago

Read 2 more answers

6×10(6)+7×10(5)+3×10(2)+8×10+2

anastassius [24]

Answer:

852

6×10(6)+7×10(5)+3×10(2)+8×10+2= 852

Step-by-step explanation:

ORDER OF OPERATIONS Will really help you solve this long problem.

Order of operations is PEMDAS.

P-parenthesis

E-exponents

M-multiplication

D-division

A-addition

S-subtraction

6)(10)(6)+(7)(10)(5)+(3)(10)(2)+(8)(10)+2

=(60)(6)+(7)(10)(5)+(3)(10)(2)+(8)(10)+2

=360+(7)(10)(5)+(3)(10)(2)+(8)(10)+2

=360+(70)(5)+(3)(10)(2)+(8)(10)+2

=360+350+(3)(10)(2)+(8)(10)+2

=710+(3)(10)(2)+(8)(10)+2

=710+(30)(2)+(8)(10)+2

=710+60+(8)(10)+2

=770+(8)(10)+2

=770+80+2

=850+2

=852

7 0

3 years ago

Suppose f(x) = 2x-1 and g (x) = x + 1/a. Which value(s) of a would make the composite functions commutative? A. 0 B. 2 C. any va

Tamiku [17]

Answer:

Step-by-step explanation:

A commutative function means that when you insert one function in space of x in the other function, they will equal x. The equation is f(g(x)) = g(f(x)) = x

So, 2( $\frac{x+1}{a}$ ) - 1 = $\frac{(2x-1)+1}{a}$

If you multiply both sides by a, you get 2a( $\frac{x+1}{a}$ ) - a = (2x-1)+1

Simplify it 2a( $\frac{x+1}{a}$ ) - a = 2x

Add a to both sides 2a( $\frac{x+1}{a}$ ) = 2x +a

The two as on the left cancel out 2(x+1)=2x+a

Distribute the 2 2x+2=2x+a

Then subtract 2x from both sides 2 = a

Therefore, a = 2

Hope this helps!

8 0

3 years ago

Read 2 more answers

Ten cards numbered 1 through 10 are mixed together and then one card is drawn. Find the probability of each event. Write each an

liraira [26]

Answer:

2/5, 0.4, 40%

7/10, 0.7, 70%

1/2, 0.5, 50%

4/5, 0.8, 80%

3/5, 0.6, 60%

3/10, 0.3 ; 30%

Step-by-step explanation:

Sample space = (1, 2, 3, 4, 5, 6, 7, 8, 9, 10)

P(less Than 5) :

Required = (1, 2, 3, 4) = 4 observations

P(less than 5) = 4 / 10 = 2 / 5 = 0.4 = 40%

Greater than 3) = (4, 5,6,7,8,9,10) = 7 observations

P greater Than 3) = 7/10 = 0.7 = 70%

Odd = (1,3,5,7,9) = 5

P(odd) = 5 / 10 = 1/2 = 0.5 = 50%

(even) = (2,4,6,8,10) = 5

P(even) = 5 / 10 = 1/2 = 0.5 = 50%

Not a multiple of 4 = (1,2, 3,5,6,7,9,10) = 8

P(not A multiple of 4) = 8/10 = 4/5 = 0.8 = 80%

not 5, 6, 7, or 8 = (1,2,2,4,9,10).= 6

P(not 5, 6, 7, or 8) = 6 / 10 = 3/5 = 0.6 = 60%

Divisible by 3 = (3, 6, 9) = 3

P(divisible by 3). = 3/10 = 0.3 = 30%

4 0

2 years ago

If the , points on the graphs are (-4,1) and (2,1) what is the equation ?

balandron [24]

Slope-intercept form:

y = mx + b

"m" is the slope, "b" is the y-intercept

To find "m", you can use the slope formula and plug in the two points:

$m=\frac{y_{2}-y_{1}}{x_{2}-x_{1}}$

$m=\frac{1-1}{2-(-4)}$

$m=\frac{1-1}{2+4}$

$m=\frac{0}{6}=0$

The slope is 0 so:

y = mx + b

y = 0x + b [any number multiplied by 0 is 0]

y = b

To find "b", you plug in either of the points into the equation (since both of their y values are 1]

y = b

1 = b

Your equation is:

y = 1 (This is a horizontal line)

8 0

3 years ago

Read 2 more answers