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Dafna1 [17]
3 years ago
6

Find the x- and y-intercepts of the function f(x) = log(2x + 1) − 1.

Mathematics
1 answer:
sleet_krkn [62]3 years ago
6 0
<span>Alright, here's your answer.

y-intercept is computed (not found) by assigning x = 0 and computing y: here that is f(0) = Log(2*0 + 1) – 1 = Log(1) – 1 = 0 – 1 = -1 
y-intercept is (0, -1) 

x-intercept is computed by solving f(x) = 0 for x: here that is 
0 = Log(2x + 1) – 1 → 1 = Log(2x + 1) 

Assuming the Log cited is base 10, then 10^1 = 10^Log(2x + 1) = 2x + 1 

That’s 10 = 2x + 1 

Therefore 9 = 2x 
x = 9/2 = 4.5 
Check this result in the original equation, I did! 

Your answer is - x-intercept is (4.5, 0)

I hope I helped! :)

</span>
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Megan has a large packing box shaped as a cube with a volume of 216 cubic feet.
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Answer:

s = 6 feet

Step-by-step explanation:

Given that,

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We need to find the side length for the cubical box. We know that the volume of the cube is given by :

V=s^3, s is the side length of the box.

So,

s={V}^{1/3}\\\\s={216}^{1/3}\\\\s=6\ feet

So, the side length for the cubical box is equal to 6 feet.

6 0
3 years ago
Ram and his sister Kalpana win a prize of Rs 2000. They decide to share the prize in the ratio of their ages. Ram is 15 years ol
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Answer:

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Step-by-step explanation:

Their age total is 15+10=25, so Ram will get 15/25 = 0.6 of the total. Kalpana will get the remaining 0.4 of the total.

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8 0
2 years ago
Type the missing numbers in this sequence:<br> -101, -105,<br> -109,<br> -117
PIT_PIT [208]

Answer:

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6 0
2 years ago
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8 0
3 years ago
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Drawing it out would be best can you help me please
leva [86]

Answer:

z_1+z_2 = (-2,5)

Step-by-step explanation:

To Find: z_1+z_2

Solution :

Referring the given graph

We can find the coordinates of   z_1 and  z_2

Coordinates of   z_1= (-7,1)

Coordinates of  z_2= (5,4)

Thus Coordinates of  z_1+z_2 = (-7+5,1+4) = (-2,5)

Thus z_1+z_2 = (-2,5)

So, the point z_1+z_2 = (-2,5) is shown on the attached graph file

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3 years ago
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