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3 years ago

Solve |2x + 1| = 10

1 answer:

Ivan3 years ago

3 0

By definition of absolute value we have two equalities:
2x + 1 = 10
2x + 1 = -10
For 2x + 1 = 10:
2x + 1 = 10
2x = 10-1
2x = 9
x = 9/2
For 2x + 1 = -10:
2x + 1 = -10
2x = -10-1
2x = -11
x = -11 / 2
Answer:
{-11/2, 9/2}

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What is the experamental probability that the coin lands on heads?

sammy [17]

Answer:

The experamental probability that the coin lands on head is 50 %

Step-by-step explanation:

Given:

Experiment:

A coin is Toss

Let the Sample Space be 'S' that is total number of outcomes for a coin has been tossed = { Head, Tail }

∴ n ( S ) = 2

Let A be the event of getting a Head on tossing a coin i.e { Head }

∴ n( A ) = 1

Now,

$\textrm{Probability} =\frac{\textrm{outcomes for the experiment}}{\textrm{total number of outcomes}}$

Substituting the values we get

$P(A) = \frac{n(A)}{n(S)} \\\\P(A) = \frac{1}{2} \\\\P(A) = 0.5\\\\P(A) = 50\%$

The experamental probability that the coin lands on head is 50 %

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2 years ago

There are total of 84 students in the robotics club and the science club. The science club has 12 more students than the robotic

jeka57 [31]

84 divided by 2 is 48
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3 years ago

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PLEASE HELP ASP!!!

bixtya [17]

Answer:

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Step-by-step explanation:

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2 years ago

Determine the ordered pair that satisfies the equation, 6x - 3y = 5.

Kazeer [188]

Given the equation $6x-3y=5.$

Check all options:

A. $\left(9,\dfrac{16}{3}\right)$ , this means that $x=9, y=\dfrac{16}{3}.$ Substitute these numbers into the left side of the equation equation:

$6\cdot 9-3\cdot \dfrac{16}{3}=54-16=38\neq 5.$

This option is false.

B. $\left(6,-3\right)$ , this means that $x=6, y=-3.$ Substitute these numbers into the left side of the equation equation:

$6\cdot 6-3\cdot (-3)=36+9=45\neq 5.$

This option is false.

C. $\left(1,-\dfrac{11}{3}\right)$ , this means that $x=1, y=-\dfrac{11}{3}.$ Substitute these numbers into the left side of the equation equation:

$6\cdot 1-3\cdot \left(-\dfrac{11}{3}\right)=6+11=17\neq 5.$

This option is false.

D. $\left(-2,-\dfrac{17}{3}\right)$ , this means that $x=-2, y=-\dfrac{17}{3}.$ Substitute these numbers into the left side of the equation equation:

$6\cdot (-2)-3\cdot \left(-\dfrac{17}{3}\right)=-12+17=5.$

This option is true.

Answer: correct choice is D.

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3 years ago

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Feliz [49]

$\pi$ is the largest number out of the choices so it will appear furthest to the right of a number line.

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3 years ago

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