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mina [271]
3 years ago
6

1/x<4x

; 4x" alt=" \frac{1}{x} < 4x" align="absmiddle" class="latex-formula">
​
Mathematics
1 answer:
liraira [26]3 years ago
6 0

Answer:

x>\frac{1}{2} \\x

Step-by-step explanation:

If we solve for 'x' variable, its recommended to multiply 'x' variable in both sides of inequality:

we have \frac{1}{4}< x^{2} \\

This is a quadratic equation, two answer are going to be obtained from here.

since \sqrt{x^{2} } = |x|

Applying square roots to both sides of inequality sign we wil have the following

\sqrt{\frac{1}{4} } < \sqrt{x^{2} }

This leaves to the following

\frac{1}{4}

remember that |x|= +/ - x

so

x>\frac{1}{2} \\x

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jason runs 440 yards in 75 seconds. At this rate, how many minutes does it take him to run a mile? (1 mile = 1,760 yards).​
mamaluj [8]

Answer:

5 minutes

Step-by-step explanation:

we know that

Jason runs 440 yards in 75 seconds

using proportion

Find out how many minutes does it take him to run a 1.760 yards (one mile)

\frac{440}{75}=\frac{1,760}{x}\\\\x=1,760(75)/440\\\\x= 300\ sec

Convert seconds to  minutes

Divide by 60

300\ sec=300/60=5\  min

8 0
2 years ago
CAN ANYONE SOVE THIS EASY INDIAN MATHS QUESTION...The angle of elevation of a cloud from a point 60m above a lake is 30" and the
guajiro [1.7K]

Answer:

the angle of elevation of a cloud from a point 60m above a lake is 30 and the angle of depression of the reflection of the cloud in the lake is 60 - Mathematics ... the reflection of the cloud in the lake is 60* find the height of the cloud from the surface of the lake

Step-by-step explanation:

Hope this helps

3 0
2 years ago
Read 2 more answers
What is the solution to the equation P over 9 equals 90
Zepler [3.9K]
P/9 = 90

Multiply 9 to 90 to isolate the variable.

P = 9 x 90

P = 810
8 0
3 years ago
Simplify (9x^8y^3)1/2
Anna35 [415]
The answer is (9x^8y^3)/2.
4 0
3 years ago
What I the equation in standard form of the line that passes through the points(4,-8) and has a slope of 1/4
valentinak56 [21]

Answer:

Standard form of the line with point (4,-8) and slope of 1/4  is

-x + 4 y = -36.

Step-by-step explanation:

The slope of the line equation = 1/4

The point is given as (4,-8).

Now, by POINT SLOPE formula,

The line equation  with slope m  nad point (x0,y0) is given as:

(y - y0)  = m (x -x0)

So, the line equation here is given as

y -(-8)  =  \frac{1}{4} (x -4)\\\implies 4(y + 8)  = x - 4\\4 y + 32 = x - 4\\4y = x - 36

Now, the standard form of line equation is Ax + By  = C

Here,  4y = x - 36   ⇒  4y - x = -36

or, -x + 4y = -36 is the standard form.

Hence,standard form of the line with point (4,-8) and slope of 1/4

is -x + 4y = -36.

3 0
3 years ago
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