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uranmaximum [27]
3 years ago
9

Write a sentence to compare the slope of the two functions and show the steps you used to determine the slope of f(x) and g(x)

Mathematics
1 answer:
Zolol [24]3 years ago
8 0

Presenting the table vertically makes it easier to read:

X F(x)

-1 -5

0 -1

1 3

I see that if x increases by 1 from 0 to 1, y increases by 4 from -1 to 3. Thus, the slope of the line represented by the table is:

4

m = -------------- = 4/1 = 4

1

So, our two lines have the same slope: 4.

g(x) = 4x + 3; f(x) = 4x - 1

but they have different y-intercepts. Thus, the 2 lines are parallel and never cross one another.

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What would the bottles purchased be and what would the bottles recycled be?
N76 [4]

Part A

Your problem statement already shows you the conversion.

Bottles purchased: 5×10¹⁰

Bottles recycled: 8.3×10⁹

Part B

The ratio of bottles purchased to bottles recycled is

... (5×10¹⁰)/(8.3×10⁹) = 0.6×10¹ = 6.0

The number of bottles purchased is 6 times the number of bottles recycle.

5 0
3 years ago
Help find the measure of the angle indicated!!!?
Alecsey [184]

Answer:

50°

Step-by-step explanation:

m\angle RST = \frac{1}{2} \times (150\degree - 50\degree) \\\\m\angle RST = \frac{1}{2} \times 100\degree \\\\ \purple{ \bold{m\angle RST =50\degree}} \\\\

8 0
3 years ago
Are shape I and shape II similar? If so, give the dilation that proves they are similar. If not, explain why the shapes are not
e-lub [12.9K]

Answer:

The answer is "They are similar".

Step-by-step explanation:

They were comparable in this respect because both aspect ratios of the top triangle are one square more. The top triangle is equal to the base triangles if you remove one square away from the height and width.

Otherwise, we can say that it forms all different. The dilation factor which translates that bottom left point of shape I to form II is 2. But this does not map the other shape I vertices onto form II. There's, therefore, no dilation in form I of maps on form II.

5 0
3 years ago
Which expression is equivalent to x + y + x + y + 3(y + 5)? 2x + 5y + 5 2x + y + 30 2x + 5y + 15 2x + 3y + 10 NextReset
jolli1 [7]
<span>Which expression is equivalent to x + y + x + y + 3(y + 5)? 2x + 5y + 5 2x + y + 30 2x + 5y + 15 2x + 3y + 10 

</span>x + y + x + y + 3(y + 5)=  \\  \\ x+y+x+y+3y+15=   \boxed{ 2x+5y+15 }<span>
</span>
7 0
3 years ago
Read 2 more answers
Can someone please help me on this one question?
Katyanochek1 [597]
A+30 = 60
a = 30

a + 2b = 60
30+2b = 60
2b = 30
b = 15

5b - 5c = 60
5(15) - 5c = 60
5c = 15
c = 3

10c + d = 60
10(3) + d = 60
30 + d = 60
d = 30

2d + 6e = 180 - 60
2(30) + 6e = 120
6e = 60
e = 10

4f + 4e = 120
4f + 4(10) = 120
4f = 80
f = 20
5 0
3 years ago
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