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3 years ago

Which statement is correct?

Mathematics

1 answer:

Y_Kistochka [10]3 years ago

7 0

Answer:

We can conclude that only option B is correct.

Step-by-step explanation:

A. The equation 3(3x - 2) - 4 = 5x has a solution.

Solving it we get,

3(3x - 2) - 4 = 5x

⇒ 9x - 6 - 4 = 5x

⇒ 4x = 10

⇒ x = 2.5

B. The equation 4(2x - 3) - 5 = 4x has exactly one solution.

Solving it we get,

4(2x - 3) - 5 = 4x

⇒ 8x - 12 - 5 = 4x

⇒ 4x = 17

⇒ x = 4.25

C. The equation 5(3x - 2) - 2 = 3x also has exactly one solution.

Solving it we get,

5(3x - 2) - 2 = 3x

⇒ 15x - 10 - 2 = 3x

⇒ 12x = 12

⇒ x = 1

D. The equation 6(2x - 3) - 3 = 2x also has exactly one solution.

Solving it we get,

6(2x - 3) - 3 = 2x

⇒ 12x - 18 - 3 = 2x

⇒ 10x = 21

⇒ x = 2.1

Therefore, we can conclude that only option B is correct. (Answer)

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Eight of your friends came to your house to watch a movie. Three-fourths of your friends stayed overnight. How many friends stay

Lapatulllka [165]

Answer:

6 friends

Step-by-step explanation:

8 friends came to watch the movie.

3/4 of them stayed overnight.

The number of people that stayed overnight will be the product of 3/4 by 8:

3/4 * 8 = 24 / 4 = 6

6 friends stayed overnight.

8 0

3 years ago

Given A = {a, b, c}, how many subsets does A have including ∅?<br><br> 4<br> 7<br> 8

Minchanka [31]

Answer:

8 is the answer

hope this helps you.

6 0

3 years ago

Each square below represents one wnole.<br> What percent is represented by the shaded area?

IgorLugansk [536]

Answer:

150%

Step-by-step explanation:

if each square represents 1 whole, or 100%, then two squares is 200%. But only half of the second square is shaded, so its 100% + 50% = 150%

3 0

3 years ago

6. What are the zeroes for the<br>function<br>f(x) = 2x3 + 12x – 10x2?<br>

agasfer [191]

Answer:

Step-by-step explanation:

f(x) = 2x^3 + 12x – 10x^2 can and should be rewritten in descending powers of x:

f(x) = 2x^3 – 10x^2 + 12x

This, in turn, can be factored into f(x) = x·(x² - 10x + 12).

Setting this last result = to 0 results in f(x) = x·(x² - 10x + 12).

Thus, x = 0 is one root. Two more roots come from x² - 10x + 12 = 0.

Let's "complete the square" to solve this equation.

Rewrite x² - 10x + 12 = 0 as x² - 10x + 12 = 0.

a) Identify the coefficient of the x term. It is -10.

b) take half of this result: -5

c) square this last result: (-5)² = 25.

d) Add this 25 to both sides of x² - 10x + 12 = 0:

x² - 10x + 25 + 12 = 0 + 25

e) rewrite x² - 10x + 25 as the square of a binomial:

(x - 5)² = 13

f) taking the sqrt of both sides: x - 5 = ±√13

g) write out the zeros: x = 5 + √13 and x = 5 - √13.

The three roots are x = 0, x = 5 + √13 and x = 5 - √13.

8 0

3 years ago

Which is the correct answer

VashaNatasha [74]

Let s denote the number of pages in each issue of the sports magazine.

Let t denote the number of pages in each issue of the technology magazine.

Given that a sports magazine prints 12 issues per year and a technology magazine prints 10 issues per year.The total number of pages in all the issues of the sports magazine for one year is 32 more than the total number of pages in all the issues of the technology magazine for one year.

This can be written in equation as,

$12s=10t+32$

Since, it is given that, "Each issue of the sports magazine has 18 fewer pages than each issue of the technology magazine".

This can be written in equation as,

$s=t-18$

Thus, the set of equations that represent the given data is

$12s=10t+32$ and $s=t-18$

Hence, Option A is the correct answer.

7 0

4 years ago