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3 years ago

Mason was ordering the following rational numbers in math class: -3.3, -15, -8 8/9.

Mathematics

1 answer:

lana [24]3 years ago

8 0

Answer:

a) order the number from least to greatest

8/9> -3.3 > -8 > -15

b) absolute value

|8/9| = 8/9

|-3.3| = 3.3

|-8| = 8

|-15| = 15

order 15 > 8 > 3.3 > 8/9

c) difference in the order in part (a) and (b) is because larger value with negative sign is the smallest.

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Solve 4 + 2 sinx= 14-8 sinx for 0° ≤ x ≤ 180

Oduvanchick [21]

<h2>Answer:</h2>

<u>x= 90°</u>.

<h2>Step-by-step explanation:</h2>

<h3>1. Write the expression.</h3>

$4 + 2 sin(x)= 14-8 sin(x)$

<h3>2. Subtract "4" from both sides of the equation.</h3>

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<h3>3. Add "8sin(x)" to both sides of the equation.</h3>

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<h3>4. Divide both sides by 10.</h3>

$\frac{10 sin(x)}{10} = \frac{10}{10} \\ \\sin(x)=1$

<h3>5. Apply the arcsin of sin^-1 to both sides of the equation.</h3>

$arcsin(sin(x))=arcsin(1)\\ \\x=90$

<h3>6. Conclude.</h3>

<u>x= 90°</u>.

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1 year ago

Concert tickets cost $15 for general admission, but only $9 with a student ID. Ticket sales total $450. Write and graph an equat

aliina [53]

The equation that models the situation is 15x + 9y = 450

The x-intercept is (30, 0) and the y-intercept is (0, 50)

Given the following parameters:

Cost of concert tickets for general admission= $15

Cost of a ticket for those with student ID = $9

Given that the total sales is $450, the equation that models this situation will be expressed as:

15x + 9y = 450

where:

x is the those that admitted generally

y are those with student ID

<u />

<u>Get the x-intercept.</u>

This is a point where the y-axis is zero

15x + 9y = 450

15x + 9(0) = 450

15x = 450

x = 450/15

x = 30

Thee x-intercept is (30, 0)

<u>Get the y-intercept.</u>

This is a point where the x-axis is zero

15(0) + 9y = 450

0 + 9y = 450

9y = 450

y = 450/9

x = 50

The y-intercept is (0, 50)

Learn more on intercepts here: brainly.com/question/24212383

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