The graph of a function is shown below

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

juin [17]

Answer:

x=−2

Step-by-step explanation:

1 Expand.

6-2x-12=3x+4

6−2x−12=3x+4

2 Simplify 6-2x-126−2x−12 to -2x-6−2x−6.

-2x-6=3x+4

−2x−6=3x+4

3 Add 2x2x to both sides.

-6=3x+4+2x

−6=3x+4+2x

4 Simplify 3x+4+2x3x+4+2x to 5x+45x+4.

-6=5x+4

−6=5x+4

5 Subtract 44 from both sides.

-6-4=5x

−6−4=5x

6 Simplify -6-4−6−4 to -10−10.

-10=5x

−10=5x

7 Divide both sides by 55.

-\frac{10}{5}=x

−

5

10

=x

8 Simplify \frac{10}{5}

5

10

to 22.

-2=x

−2=x

9 Switch sides.

x=-2

x=−2

4 0

3 years ago

The set of numbers in the form startfraction a over b endfraction a b, where a and b are integers and bnot equals≠0, is called

krek1111 [17]

Rational Number are set of numbers that can be written as a/b where a and b are integers, but b is not equal to 0; an integer or a fraction; for example: 6 can be expressed as 6/1 and 0.5 can be expressed as 1/2.

7 0

3 years ago

Read 2 more answers

Simplify the expression state any excluded values 2a^2-4a+2 --------------- 3a^2-3

chubhunter [2.5K]

Answer:

The simplified form is $\dfrac{2(x-1)}{3(x+1)}$ .

$x =1$ is the excluded value for the given expression.

Step-by-step explanation:

Given:

The expression given is:

$\dfrac{2a^2-4a+2}{3a^2-3}$

Let us simplify the numerator and denominator separately.

The numerator is given as $2a^2-4a+2$

2 is a common factor in all the three terms. So, we factor it out. This gives,

$=2(a^2-2a+1)$

Now, $a^2-2a+1=(a-1)(a-1)$

Therefore, the numerator becomes $2(a-1)(a-1)$

The denominator is given as: $3a^2-3$

Factoring out 3, we get

$3(a^2-1)$

Now, $a^2-1$ is of the form $a^2-b^2=(a-b)(a+b)$

So, $a^2-1=(a-1)(a+1)$

Therefore, the denominator becomes $3(a-1)(a+1)$

Now, the given expression is simplified to:

$\frac{2a^2-4a+2}{3a^2-3}=\frac{2(x-1)(x-1)}{3(x-1)(x+1)}$

There is $(x-1)$ in the numerator and denominator. We can cancel them only if $x\ne1$ as for $x=1$ , the given expression is undefined.

Now, cancelling the like terms considering $x\ne1$ , we get:

$\dfrac{2a^2-4a+2}{3a^2-3}=\dfrac{2(x-1)}{3(x+1)}$

Therefore, the simplified form is $\dfrac{2(x-1)}{3(x+1)}$

The simplification is true only if $x\ne1$ . So, $x =1$ is the excluded value for the given expression.

8 0

3 years ago

a beekeeper estimates that his bee population will triple each year. Currently he has 150 bees. Write a function to represent th

Soloha48 [4]

Answer:

Exponential functions!

Step-by-step explanation:

I think what you are dealing with is an exponential function!

So, to solve this, we need to first understand the main form of an exponential function:

$f(x)=a*b^{x}$

Where a is the number we start off with, and b is the constant thing(forgot what it was called).

Now, 150 is our starting number, so it is a, and b is our constant at which the initial term is multiplied, which is 3!

Also, defining variables:

Let f(x)= # of Bees

Let x= # of years

Thus, here is our equation:

$f(x)=150*3^{x}$

So, that's it!

Now, some of my answers have been recently deleted because they violated community guidelines for recommending something that shall not be named, so if you do really need help on the subject, look online! It is the largest source of information humanity has created! (also I cannot explain Exponential Functions in a single paragraph)

Stay Safe!

4 0

3 years ago

HELP 13 POINTS!!!!!!!!!!!!!!!!!!

ahrayia [7]

Answer:

$4^{-8} \\4^{-2}\\4^{8}\\4^2$

Step-by-step explanation:

For the first few exponents multiply and the rest they add because like terms.

The trick is that when you raise a power to a power you multiply. Otherwise you add if the base value is the same.

5 0

3 years ago