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Yakvenalex [24]
3 years ago
9

Solution set for 5x + 38

slant " align="absmiddle" class="latex-formula">
is less than 4(2-5x)​
Mathematics
2 answers:
sdas [7]3 years ago
7 0

Answer:

x ≤ -6/5

Step-by-step explanation:

5x + 38 ≤ 4 (2 - 5x)

5x + 38 ≤ 8 - 20x

5x + 20x ≤ 8 - 38

25x ≤ -30

x ≤ -30÷25

<u>x ≤ -6/5</u>

erica [24]3 years ago
7 0

Answer:

{ x / x ≤ -6/5 } is the solution set of the given inequality.

Step-by-step explanation:

We have given an inequality :

5x + 38 <= 4(2-5x)​

We have to find  the solution set of the given inequality.

So,

5x + 38 ≤ 4(2-5x)​  

5x + 38 ≤ 8 - 20x

Combining like terms we get,

5x +20x ≤ 8 -38

25x ≤ -30

x ≤ -6/5

{ x / x ≤ -6/5 } is the solution set of the given inequality.

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Graph the inverse of the function.
Ghella [55]

Answer:

The graph of the inverse function is the same that the graph of the original function

Step-by-step explanation:

step 1

Find the equation of the function in the graph

Let

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we know that

Is a linear function

take the points (0,6) and (6,0)

<em>Find the slope of the linear function</em>

m=(0-6)/(6-0)\\m=-1

<em>Find the the equation of the linear function in slope intercept form</em>

f(x)=mx+b

we have

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b=6 ---> the y-intercept is given

substitute

f(x)=-x+6

step 2

Find the inverse of the function f(x)

Let

y=f(x)

y=-x+6

<em>Exchange the variables (x for y and y for x)</em>

x=-y+6

Isolate the variable y

y=-x+6

Let

f^{-1}(x)=y

f^{-1}(x)=-x+6

f^{-1}(x)=f(x)

In this problem the graph of the inverse function is the same that the graph of the original function

4 0
3 years ago
Sam went for a ride on a sailboat the ride lasted 3/4 hour . what fraccion is equivalent 3/4
Trava [24]

Some fractions are 6/8, 9/12 and 12/16

All you have to do is multiply a number by the numerator and denominator

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Answer:

V≈2463.01

Step-by-step explanation:

8 0
3 years ago
A single die is rolled. Find the odds in favor of rolling a number greater than 1.
Anastasy [175]

Answer:

5/6

Step-by-step explanation:

x > 1

x = 2,3,4,5,6

( quantity of 2,3,4,5,6)/(total)

5/6

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3 years ago
one light bulb is selected at random from a lot of 110 light bulbs of which 2% are defective. what is the probability that the l
Rasek [7]
First, find 2% of 110

2% = 0.02

0.02 · 110 = 2.2 

Probability: 2.2 / 110

Hope this helps :)
8 0
2 years ago
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