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3 years ago

7

What are the domain and range of h(x) = 3|x|? A. domain: all real numbers; range: y ≤ 0 B. domain: x ≥ 0; range: all real number

s C. domain: x ≤ 0; range: all real numbers D. domain: all real numbers; range: y ≥ 0
Help! plss

1 answer:

frozen [14]3 years ago

6 0

Answer:

D

Step-by-step explanation:

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Two collinear points on a line are given in the table below:

katrin [286]

Answer:

$(4,3)$ and $(7,2)$ do not lie on the line

Step-by-step explanation:

Given

$(0,0)\ and\ (2,1)$

Required

Determine which points that are not on the line

First, we need to determine the slope (m) of the line:

$m = \frac{y_2 - y_1}{x_2- x_1}$

Where

$(x_1,y_1) = (0,0)$

$(x_2,y_2) = (2,1)$

So;

$m = \frac{y_2 - y_1}{x_2- x_1}$

$m = \frac{1 - 0}{2-0}$

$m = \frac{1}{2}$

Next, we determine the line equation using:

$y - y_1 = m(x -x_1)$

Where

$m = \frac{1}{2}$

$(x_1,y_1) = (0,0)$

$y - y_1 = m(x -x_1)$ becomes

$y - 0 = \frac{1}{2}(x - 0)$

$y = \frac{1}{2}x$

To determine which point is on the line, we simply plug in the values of x to in the equation check.

For $(4,2)$

$x = 4$ and $y =2$

Substitute 4 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 4$

$2 = \frac{4}{2}$

$2=2$

<em>This point is on the graph</em>

<em></em>

For $(4,3)$

$x = 4$ and $y = 3$

Substitute 4 for x and 3 for y in $y = \frac{1}{2}x$

$3 = \frac{1}{2} * 4$

$3 = \frac{4}{2}$

$3 \neq 2$

<em>This point is not on the graph</em>

<em></em>

For $(7,2)$

$x = 7$ and $y = 2$

Substitute 7 for x and 2 for y in $y = \frac{1}{2}x$

$2 = \frac{1}{2} * 7$

$2 = \frac{7}{2}$

$2 \neq 3.5$

<em></em>

<em>This point is not on the graph</em>

<em></em>

<em></em> $(\frac{4}{8},\frac{2}{8})$ <em></em>

<em></em> $x = \frac{4}{8}$ and<em> </em> $y = \frac{2}{8}$ <em></em>

<em>Substitute </em> $\frac{4}{8}$ <em> for x and </em> $\frac{2}{8}$ <em> for y in </em> $y = \frac{1}{2}x$ <em></em>

<em></em> $\frac{2}{8} = \frac{1}{2} * \frac{4}{8}$ <em></em>

<em></em> $\frac{2}{8} = \frac{1 * 4}{8 * 2}$ <em></em>

<em></em> $\frac{2}{8} = \frac{4}{16}$ <em></em>

<em></em> $\frac{1}{4} = \frac{1}{4}$ <em></em>

<em></em>

<em>This point is on the graph</em>

3 0

3 years ago

Find the repayment $5000 loaned for 4 years at 6% interest p.a What is the total amount What will be the monthly repayments?

Stella [2.4K]

Answer: Monthly Repayment = $117.43

4 0

3 years ago

At higher elevations water boils at lower temperatures. The temperature at which water boils is called the boiling point of wate

Leya [2.2K]

B(x) = 100 - 3.5x
84 = 100 - 3.5x
3.5x = 100 - 84 = 16
x = 16/3.5 = 4.6 kilometers

96 = 100 - 3.5x
3.5x = 100 - 96 = 4
x = 4/3.5 = 1.1 kilometers

Therefore, the boiling point of water is between 84°C and 96°C at elevations of between 4.6 kilometers and 1.1 kilometers.

7 0

3 years ago

3. Assume all angles are right angles. What is the area of the figure? 12 m 8 m 10 m 16 m 12 m 12 m 1536 square meters b. 408 sq

Svetach [21]

C. 360 Square meters

........

3 0

3 years ago

9 weeks and 5 days<br> - 1 week and 6 days<br> ------------------------------

Butoxors [25]

Answer:

55 days or about 7 weeks

Step-by-step explanation:

9(7)= 63 because there are 7 days in one week

63+5=<u><em>68</em></u>

1(7)=7

7+6=<u><em>13</em></u>

68-13=55

6 0

3 years ago

Read 2 more answers