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3 years ago

Here’s a graph of a linear function. Write the equation that describes that function.

Mathematics

1 answer:

lord [1]3 years ago

6 0

Answer:

y = 5x - 5

Step-by-step explanation:

It appears that the graph intersects the y-axis at (0, -5). This point is the y-intercept of the line.

As we move from (0, -5) to the point (2, 5), x increases by 2 and y increases by 10. Thus, the slope of the line through these two points is

m = rise / run = 10 / 2 = 5.

The slope-intercept form of the equation of a straight line, y = mx + b, becomes y = 5x - 5

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Alyn drives 20.4 miles in 17 minutes.

Galina-37 [17]

Answer:

12 mph

Step-by-step explanation:

<em>Speed = distance/time</em>

Distance = 20.4 miles
Time = 17 minutes = 17*1/60 hours = 17/60 hours

<u>Speed is:</u>

20.4 : 17/60 =
20.4*60/17 =
72 mph

<u>Alyn exceeded the limit by:</u>

72 - 60 = 12 mph

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3 years ago

The bacteria took 1 hour and 40 minutes to fill the initial bottle. Explain how it only took 10 minutes to fill 3 additional emp

geniusboy [140]

Bacteria growth occurs exponentially; bacteria divides into 2 every t minutes (similar to the penny doubling every day story). If one gets filled, and the contents divides once, there will be enough for 2 bottles; when these two are ready to divide, there will be enough for 4. This growth process begins very slowly - 1, 2, 4, 8, 16, 32; but it soon speeds up greatly, 64, 128, 256, 512, 1024, 2048.

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3 years ago

Read 2 more answers

Use the shell method to find the volume of the solid generated by revolving the regions bounded by the curves and lines about th

I am Lyosha [343]

Answer:

<h2>it is 6 because it's hard to explain but all I know it's 6</h2>

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3 years ago

HALPPP ILL GIVE BRAINALIST

Anestetic [448]

Answer:

1. 2 1/4

2. 8.25

3. 8 6/8

4. 51.18

5. 56.875

6. $6.22

7. 62.14

Step-by-step explanation:

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3 years ago

Let Z={a,c,{a,b}}. What is |Z|?

Lina20 [59]

$Z=\{a,c,\{a,b\}\}$

$\boxed{|Z|=3}$ (treat $\{a,b\}$ as one element of $Z$ )

The power set of $Z$ is

$\boxed{2^Z=\bigg\{\{\},\{a\},\{c\},\big\{\{a,b\}\big\},\{a,c\},\big\{a,\{a,b\}\big\},\big\{c,\{a,b\}\big\},\big\{a,c,\{a,b\}\big\}\bigg\}}$

1. $\{a,c\}\subseteq Z$ is true because both $a\in Z$ and $c\in Z$ .

2. $a\in Z$ is true.

3. $\{c\}\subseteq Z$ is true (same reason as part 1).

4. $\{c\}\in Z$ is false because $Z$ does not contain the set $\{c\}$ , rather just the element $c$ itself.

5. $b\in Z$ is false because the element $b$ on its own simply is not in $Z$ . That $b\in\{a,b\}$ does not mean $b\in Z$ , but that $b$ belongs to a subset of $Z$ .

6. $\{a,b\}\in Z$ is true.

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3 years ago