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3 years ago

8

Solve the inequality. |2k + 1| ≥ 5

1 answer:

lara [203]3 years ago

3 0

Answer: k ≥ 2 and k ≤ -3

Step-by-step explanation:

When answering a problem like this, normally, you first isolate the absolute value. As it is already isolated, the next thing you do is split the equation into 2k + 1 ≥ 5 and 2k + 1 ≥ -5, because the contents of the absolute value could be negative or positive, and simplifying both into k ≥ 2, and k ≤ -3.

Hope it helps <3

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A new pain reliever is advertised as being 97%

Likurg_2 [28]

Answer:

B. 0.694

Step-by-step explanation:

Probability is the ratio of the number of possible outcome to the number of total outcome.

Given that the pain reliever is advertised as being 97% effective, for it to be effective in 12 independent trials

= (97%) ^ 12

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Answers fast please. 1.) y=x−63x+2y=8 Use the substitution method. A.) (4, −2) B.) (14, 8) C.) (0, −6) D.) (3, −3) 2.) What is t

GrogVix [38]

<u>QUESTION 1</u>

The given system of equation is

$y=x-6...eqn1$

and

$3x+2y=8...eqn2$

Let us substitute equation (1) into equation (2) to get,

$3x+2(x-6)=8$

We expand the bracket to get,

$3x+2x-12=8$

We simplify to get.

$5x-12=8$

We group like terms to get

$5x=8+12$

$\Rightarrow 5x=20$

$\Rightarrow x=4$

We now substitute $x=4$ in to equation (1) to obtain,

$y=4-6=-2$

The correct answer is option A.

<u>QUESTION 2</u>

The given system of equations is

$y-x=9...eqn1$

and

$10+2x=-2y...eqn2$

We make y the subject in equation (2) to get,

$y=-x-5..eqn3$

We put equation (3) into equation (1) to obtain,

$-x-5-x=9$

We group like terms to get,

$-x-x=9+5$

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We divide through by $-2$ to get,

$x=-7$

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The given system is

$y=3x-1..eqn1$

and

$x-y=-9...eqn2$

We make $x$ the subject in equation (2) to get,

$x=y-9...eqn3$

We put equation (3) into equation (1) to obtain,

$y=3(y-9)-1$

We expand the bracket to get,

$y=3y-27-1$

Group like terms to get,

$y-3y=-27-1$

We simplify to get;

$-2y=-28$

This implies that,

$y=14$

Therefore the y-coordinate is 14.

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4 years ago

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Savatey [412]

Answer:

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3 years ago

*15 points help easy question*

DIA [1.3K]

Answer:

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The segment from the vertex to the base is a perpendicular bisector.

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x = $\sqrt{144}$ = 12

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3 years ago