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3 years ago

In two or more complete sentences, describe how you would draw the graph of the solution set for the following inequality.

Mathematics

2 answers:

vovikov84 [41]3 years ago

4 0

Answer:

Step-by-step explanation:

Like this:

Nostrana [21]3 years ago

4 0

Answer:

-To draw the inequality graph, we draw a number line with value ranging from 0 to -4 towards the left side of the line

-Then we draw a line towards the right of the number line starting from -4 digit on the number line. We draw towards the right because the resulting inequality sign is greater than.

Explanations:

Given the inequality function

-3m+18<30

Before we can draw the graph, we need to find the value of m.

First we bring 18 to the other sides

-3m<30-18

-3m < 12

Dividing both sides by -3 we have;

-3m/-3>12/-3 (dividing both sides of an inequality with a negative sign changes the sense of the inequality sign)

m>-4.

-To draw the inequality graph, we draw a number line with value ranging from 0 to -4 towards the left side of the line

-Then we draw a line towards the right of the number line starting from -4 digit on the number line. We draw towards the right because the resulting inequality sign is greater than.

You might be interested in

Find the exact value of the given expression.<br> sin(2cos^-1(5/13))

xeze [42]

Answer:

+120/169 or -120/169

Step-by-step explanation:

let $cos^{-1}[\frac{5}{13} ] = \alpha$

where, alpha is some angle that satisfies the assumed condition.

so, $cos\alpha= 5/13$

[ taking cos to the other side or applying cos on both sides]

now, substitute this in the given expression

$sin(2cos^-1(5/13)) = sin(2\alpha )$

as sin $\beta$ = $+ or -\sqrt{1-(cos\beta) ^{2}$

[by general trigonometry formula: $cos^{2}[\beta] +sin^{2}[\beta]=1$ ]

so if $cos\alpha= 5/13$ , we can get sin $\alpha$ from the above formula as + or - 12/13

(because, after taking square root on both sides we keep + or -]

as, sin $2\beta = 2*sin[\beta ]*cos[\beta ]$

[by general trigonometry formula]

here, now $sin[2\alpha ]=2*(+or- 12/13)*5/13\\$

so, the final value can be 120/169 or -120/169.

4 0

3 years ago

Answer this really quick

ivann1987 [24]

Answer:

the equation is y = ax + b (a ≠ 0)

see in the graph, the line passed through (0;3) and (1;5)

=>b = 3

a + b = 5

<=> a = 2

b = 3

=> the equation is y = 2x + 3

Step-by-step explanation:

7 0

2 years ago

Read 2 more answers

Solve the equation below:

Agata [3.3K]

$\sqrt[3]{x^2-8}=2 \\ x^2-8=2^3=8 \\ x^2=16 \\ \\ \boxed{x=4 \ or \ -4}$

6 0

3 years ago

Read 2 more answers

Will mark as Brainliest...

tatiyna

Answer:

280 ft squared

Step-by-step explanation:

To find the area of the nonshaded portion, we can find the area of the entire floor and then subtract the shaded area.

The total area is that of a rectangle: 30 * 15 = 450 ft squared.

Now, the shaded region is made up of a rectangle and a triangle.

- The rectangle has length 8 and width 10, so its area is 10 * 8 = 80 ft squared.

- The triangle has base 12 and height 15, so using the area of a triangle formula: $A=(bh)/2$ (where b is the base and h is the height) = (12 * 15)/2 = 180/2 = 90 ft squared.