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Black_prince [1.1K]
2 years ago
5

How do I solve this equation?

Mathematics
1 answer:
Gnom [1K]2 years ago
8 0

2x(4-x)^{-1/2}-3(4-x)^{1/2}=(4-x)^{-1/2}\bigg(2x-3(4-x)\bigg)

We effectively rewrite the equation as

\dfrac{5x-12}{(4-x)^{1/2}}=0

In order for the LHS to be defined, we need to restrict 4-x>0, or x. Now, the LHS will vanish when the numerator is 0, which happens for

5x-12=0\implies5x=12\implies x=\dfrac{12}5

This value is indeed smaller than 4, so the solution is x=\dfrac{12}5.

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Geometry math question no Guessing and Please show work
Andru [333]
D. (7,0)
The original coordinates were (0,7)y and (1,5)x then I rotated it 90 degrees and the coordinates were (7,0)y and (5,1)x

3 0
3 years ago
Last year, Maria had $10,000 to invest. She invested some of it in an account that paid 6% simple interest per year, and she inv
denis-greek [22]

Answer:

$3,000 invested at 6%

$7,000 invested at 10%

Step-by-step explanation:

Maria had total $10,000 to invest.

Let x be the amount that Maria invested initially at 6% interest rate.

0.06x

Then she invested the remaining amount at 10% interest rate.

0.10(10,000 - x)

She received a total of $880 in interest.

0.06x + 0.10(10,000 - x) = 880

0.06x + 1000 - 0.10x = 880

-0.04x = 880 - 1000

-0.04x = -120

0.04x = 120

x = 120/0.04

x = $3,000

This is the amount that Maria invested initially at 6% interest rate.

The remaining amount is

10,000 - 3,000

$7,000

This is the remaining amount that she invested at 10% interest rate.

3 0
2 years ago
If y varies directly as x, and y = 42 as x = 6, find y for the x-value 3
mojhsa [17]
Y=42  Y=?
X=6    X=3

cross multiply
so 42times3=6timesY
126=6Y
Y=126 divided by 6
  =21
3 0
3 years ago
What is the value of x? (giving brainliest and thanks to all!)
astra-53 [7]

Answer:

x° = 64°

Explaination:

This is a right angled triangle so one of the angle is 90°.

So, x° + 90° = 154° (Exterior angle property)

x° = 154° - 90° = 64°

Therefore x° = 64°

4 0
3 years ago
The table to the right shows selected ages of licensed drivers in one country and the corresponding percentiles. Find the percen
PolarNik [594]

Answer:

66%

Step-by-step explanation:

Given :

Age          Percentile

75           97

65           90

55           78

45           58

35           37

25           13

20           66

To Find :The percentage of drivers who are younger than 20 is _____%.

Solution:

Refer the given table

The percentile corresponding to age 20 is 66.

Percentile : A data item is said to be in nth percentile of distribution if n% of the distribution are less than that particular data item.

So, drivers who are younger than 20 are said to be in 66 percentile if 66%of the distribution are less than that particular data item.

Hence The percentage of drivers who are younger than 20 is 66%.

7 0
3 years ago
Read 2 more answers
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