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3 years ago

Is the expression 2f + 4f + 2 – 3 equivalent to 6f – 1?

Mathematics

2 answers:

Akimi4 [234]3 years ago

6 0

Answer:

Yes it is equivalent.

Step-by-step explanation:

In this case the only thing that you have to do to know if the two expressions are equivalent are put them on opposite sides of the equation like this:

6f-1= 2f+4f+2-3

When you simplify this you´ll end up with the next equation:

6f-1= 6f -1

In this case you can see that both expressions are equivalent because they are the same once you put them on opposite sides of the equation.

Effectus [21]3 years ago

5 0

6f-1 and 2f+ 4f +2-3 are equal. 2f +4f+2-3 is 17 at f=3 because

(2•3)+(4•3)+(2-3) =

(6+12)+(-1) =

(18)+(-1)=

17
Plug in what f equals for f in the equation and evaluate
I hope this helps.

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The half-life of a radioactive kind of krypton is 3 minutes. How much will be left after 6 minutes, if you start with 32 grams o

Wittaler [7]

Answer:

8 grams

Step-by-step explanation:

The half-life of a radioactive kind of krypton is 3 minutes. How much will be l6eft after 6 minutes, if you start with 32 grams of it?

The formula is given as

Nt = No(1/2) ^t/t½

Nt = 32 × (1/2) ^6/3

Nt = 8 grams

5 0

3 years ago

In an arithmetic sequence, the nth term an is given by the formula an=a1+(n−1)d, where a1 is the first term and d is the commo

AlekseyPX

Answer:

The 105th term of given sequence is $\frac{105}{2}$ .

Step-by-step explanation:

The given sequence is

$\frac{1}{2},1,\frac{3}{2},2$

It can be rewritten as

$0.5,1,1.5,2$

Here the first term is 0.5.

It is an arithmetic sequence because it has common difference.

$d=a_2-a_1=1-0.5=0.5$

$d=a_3-a_2=1.5-1=0.5$

$d=a_4-a_3=2-1.5=0.5$

The nth term of an AP is

$a_n=a_1+(n-1)d$

where, $a_1$ is first term and d is common difference.

Substitute $a_1=0.5$ and $d=0.5$ in the above formula.

$a_n=0.5+(n-1)0.5$

$a_n=0.5+0.5n-0.5$

$a_n=0.5n$

We need to find the 105th term of given sequence.

Substitute n=105 in the above equation.

$a_n=0.5(105)$

$a_n=52.5$

$a_n=\frac{105}{2}$

Therefore the 105th term of given sequence is $\frac{105}{2}$ .

3 0

3 years ago

Find the value of x.

7nadin3 [17]

Answer:

x = 7

Step-by-step explanation:

The dashes on the lines show they are equal in length.

Therefore, by inspection of the diagram, we can see that the measures of the sides of the smaller triangle (with base 5x) are half the measures of the sides of the larger triangle (with base 70).

Therefore, creating an equation with this information:

5x = 1/2 x 70

⇒ 5x = 35

⇒ x = 7

3 0

2 years ago

Read 2 more answers

The sum of a number and 8 is -26

ArbitrLikvidat [17]

<h2><u>PLEASE MARK BRAINLIEST!</u></h2>

Answer:

What equals ?

Step-by-step explanation:

? + 8 = -26

To find the ?, all you have to do is subtract 8 from -26.

-26 - 8 = ?

-26 + (-8) = ?

-34 = ?

<h3>Your answer is -34.</h3>

I hope this helps!

- sincerelynini

3 0

4 years ago

Express the polynomial as a product of linear factors.

Bas_tet [7]

Answer:

D. 3(x - 1)(x+3)(x + 2).

Step-by-step explanation:

3(x - 1)(x + 3)(x + 2)

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

= 3(x^3 + 5x^2 + 6x - x^2 - 5x - 6)

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

= 3x^3 + 12x^2 + 3x - 18.

5 0

4 years ago