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1 year ago

Which of the following represents y > 2x - 3?

Mathematics

1 answer:

Oksanka [162]1 year ago

7 0

Answer: Choice A

The two characteristics here are:

The boundary line is a dashed line. This visually indicates to the reader "points on the boundary do NOT count as solutions". Think of the boundary as an electric fence you cannot touch, but can get closer and closer to. We aren't including boundary points directly because of the lack of "or equal to".
The shading is above the boundary, due to the "greater than" sign. This only works if we have y isolated.

The graph of choice B is $y \le 2x-3$ since we have a solid line and shading below the solid line. This time points on the boundary are part of the solution set.

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The table shows a gym class's average results for boys and

Rufina [12.5K]

Susan can jump at most 104 in during the long jump

<h3>Inequality</h3>

Inequality is an expression that show the non equal comparison of two or more variables and numbers.

From the table, the average result for females = 8ft 4in = (8 * 12)in + 4in = 100 in

Since Susan could jump no farther than 4 inches more than the average distance for females, hence:

j ≤ 4 + 100

j ≤ 104 in

Susan can jump at most 104 in during the long jump

Find out more o Inequality at: brainly.com/question/24372553

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2 years ago

If y varies directly as x and y = 21 when x = 5, find x when y = 42.

Lorico [155]

Answer: 10

<u>Step-by-step explanation:</u>

varies directly means: $\frac{y}{x} = k$

Step 1: solve for k ⇒ $\frac{21}{5} = k$

Step 2: plug in the given value and k to solve for the missing value: $\frac{42}{x} = \frac{21}{5}$

42(5) = 21(x)

$\frac{42(5)}{21} = \frac{21(x)}{21}$

2(5) = x

10 = x

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3 years ago

What is a rational number?

MAVERICK [17]

In mathematics, a rational number is a number that can be expressed as the quotient or fraction p/q of two integers, a numerator p and a non-zero denominator q. Since q may be equal to 1, every integer is a rational number.

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3 years ago

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Jerome is going to draw a marble from the bag shown below, replace it, and then draw another marble. What is the probability tha

alexira [117]

Marbles in a bag: 3 green, 4 yellow, 5 blue, 8 pink.

Event A - get a green or yellow marble
Event B - get a pink marble

Events A and B are independent because we draw a marble from a bag with 20 marbles in both cases.
$P(A)= \frac{3+4}{3+4+5+8}= \frac{7}{20} 
\\P(B)= \frac{8}{3+4+5+8}= \frac{8}{20} = \frac{2}{5}$

Probability of combined events is
$P(A) \times P(B)=\frac{7}{20} \times \frac{2}{5} =\frac{7}{50}$

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3 years ago

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The triangles shown here are congruent

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Answer:

use your brain

Step-by-step explanation:

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3 years ago