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stira [4]
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
Mathematics
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
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