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3 years ago

The functions f(x)=−3/4x+2 1/4 and g(x)=(1/2)^x+1 are shown in the graph.

1 answer:

3 0

-3x/4 + 9/4 = (1/2)^x + 1
-3x/4 - 2^-x = -5/4

(Using log rules)

㏑|-3x/4| - ㏑|2^-x| = ㏑|-5/4|
㏑|3x/4| - x㏑|2| = ㏑|5/4|
e^㏑|3x/4| - e^㏑|2|x = e^㏑|5/4|
|3x/4| - 2x = 5/4
|3x| - 8x = 5
|3x-8x| = 5
|-5x| = 5
|5x| = 5
x=1, -1

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I need this urgently!! I need by 7:15!!

Sati [7]

The question is telling you that the length of the rectangle is 3 metres more than twice the width.

So let:

w= width

L= length

Because the length is 3 metres more than twice the width: L= 2w+3

They also tell you the perimeter is 48 metres.

P= L+L+w+w

So the equation of the perimeter is:

48= (2w+3)+(2w+3)+2w +2w

48= 2(2w+3) + 4w

To find w, expand and simplify.

48= 4w+6+4w

48= 8w + 6

42= 8w

5.25=w

Now that you know the width, plug in the value into the length equation:

L= 2w+3

L=2(5.25)+3

L=10.50+3

L=13.5

If I am wrong let me know! I hope this helps.

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3 years ago

Classify the following angle. 28. I WILL GIVE BRANLIEST!!!!!! RATE AND VOTE!!!!HELPP

Kaylis [27]

Answer:

reflex angle

Step-by-step explanation:

Acute is less than 90

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Obtuse is greater than 90 and less than 180

Straight is 180

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3 years ago

Find the second decile of the following data set 24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51 D2 =

Sergio039 [100]

Answer:

D2 = 24

Step-by-step explanation:

given is a data set as

24, 64, 25, 40, 45, 34, 14, 26, 28, 24, 58, 51

We have to find the second decile for the above

Arranging in ascending order we get

14, 24, 24, 25,26,28, 34, 40, 45, 51, 58, 64

2nd decile is equal to 20th percentile

20th percentile formula entry appearing which sorts 20% below and 80% above.

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3 years ago

Help please explain in detail

yaroslaw [1]

Answer:

1. (n + 3)(5n + 8)

2. (x - 4)(7x - 4)

3. (k + 8)(7k + 1)

Step-by-step explanation:

1. We have to factorize 5n² + 23n + 24.

Now, 5n² + 23n + 24

= 5n² + 15n + 8n + 24

= 5n (n + 3) + 8 (n + 3)

=(n + 3)(5n + 8) (Answer)

2. We have to factorize 7x² - 32x + 16

Now, 7x² - 32x + 16

= 7x² - 28x - 4x + 16

= 7x (x - 4) - 4 (x - 4)

= (x - 4)(7x - 4) (Answer)

3. We have to factorize 7k² + 57k + 8

Now, 7k² + 57k + 8

= 7k² + 56k + k + 8

= 7k (k + 8) + 1 (k + 8)

= (k + 8)(7k + 1) (Answer)

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3 years ago

If 5x+5=50 then solve for x

pav-90 [236]

Answer:

Step-by-step explanation:

5 x 9 is 45 plus 5 gives you 50

6 0

2 years ago

Read 2 more answers