All categories

2 years ago

2(3x – 1) = 6x – 2 number of solutions

Mathematics

1 answer:

Alexxandr [17]2 years ago

4 0

Answer: All real numbers are solutions.

Step-by-step explanation:

Let's solve your equation step-by-step.

2(3x−1)=6x−2

Step 1: Simplify both sides of the equation.

2(3x−1)=6x−2

(2)(3x)+(2)(−1)=6x+−2(Distribute)

6x+−2=6x+−2

6x−2=6x−2

Step 2: Subtract 6x from both sides.

6x−2−6x=6x−2−6x

−2=−2

Step 3: Add 2 to both sides.

−2+2=−2+2

0=0

You might be interested in

Maria determined that the length of her driveway from the main road is 35.25 meters.

nordsb [41]

B, there are 1000m in a km.

8 0

3 years ago

Express the area of the entire rectangle.

Cloud [144]

Answer:

$\huge\boxed{A=x^2+12x+35}$

Step-by-step explanation:

The formula of an area of a rectangle:

$A=lw$

l - length

w - width

We have

$l=x+7\\\\w=x+5$

Substitute:

$A=(x+7)(x+5)$

Use FOIL (a + b)(c + d) = ac + ad + bc + bd

$A=(x)(x)+(x)(5)+(7)(x)+(7)(5)\\\\A=x^2+5x+7x+35$

combine like terms

$A=x^2+(5x+7x)+35\\\\A=x^2+12x+35$

7 0

2 years ago

A bookstore had 64 copies of a magazine. Yesterday, it sold 1/4 of them. Today, it sold 1/8 of what remained. How many copies do

just olya [345]

Answer: 42

Step-by-step explanation:

if the bookstore has 64 copies,

yesterday it was sold 1/4 , so it was sold 64/4=16

today it was sold 1/8 from what remained, which is 6(see below)

64-16=48

48/8=6

the store has left 48-6=42

6 0

3 years ago

The football coach bought enough sports mix to make 60 L of a sports drink.

Ilya [14]

the coach makes a total volume of 60 L of a sports drink

we have to find the number of cups he can fill with the drink

1 cup is equivalent to 0.5 pints

so we have to first convert L to pints

1 L = 2.11 pt

then 60 L = 126.6 pt

the volume of sports drink made is 126.6 pt

so 0.5 pt make - 1 cup

then 126.6 pt make - 1 / 0.5 x 126.6 = 253.2 cups

he can make 253 full cups and 0.2 of a cup

answer is 253.2 cups

4 0

3 years ago

Read 2 more answers

. Using the Binomial Theorem explicitly, give the 15th term in the expansion of (-2x + 1)^19

timofeeve [1]

Let's rewrite the binomial as:
$(1 - 2x)^{19}$

$\text{Binomial expansion:} (1 + x)^{n} = \sum_{r = 0}^n\left(\begin{array}{ccc}n\\r\end{array}\right) (x)^{r}$

Using the binomial expansion, we get:
$\text{Binomial expansion: } (1 - 2x)^{19} = \sum_{r = 0}^{19}\left(\begin{array}{ccc}19\\r\end{array}\right) (-2x)^{r}$

For the 15th term, we want the term where r is equal to 14, because of the fact that the first term starts when r = 0. Thus, for the 15th term, we need to include the 0th or the first term of the binomial expansion.

Thus, the fifteenth term is:
$\text{Binomial expansion (15th term):} \left(\begin{array}{ccc}19\\14\end{array}\right) (-2x)^{14}$

3 0

3 years ago