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Fynjy0 [20]
4 years ago
11

Solve the following equation. 2x - 1 ≤ x 5

Mathematics
1 answer:
wariber [46]4 years ago
5 0

<span><span><span>2x</span>−1</span>≤<span>x5

</span></span>Let's find the critical points of the inequality.

<span><span><span>2x</span>−1</span>=<span>x^5

</span></span><span><span><span><span>2x</span>−1</span>−<span>x^5</span></span>=<span><span>x^5</span>−<span>x^5 </span></span></span>(Subtract x^5 from both sides)

<span><span><span><span>−<span>x^5</span></span>+<span>2x</span></span>−1</span>=0

</span><span><span><span>(<span><span>−x</span>+1</span>)</span><span>(<span><span><span><span><span>x^4</span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span>)</span></span>=0  </span>(Factor left side of equation)

<span><span><span><span>−x</span>+1</span>=<span><span><span><span><span><span>0<span> or </span></span><span>x^4</span></span>+<span>x^3</span></span>+<span>x^2</span></span>+x</span>−1</span></span>=0   </span>(Set factors equal to 0)

<span><span><span>x=<span><span>1<span> or </span></span>x</span></span>=<span><span>0.51879<span> or </span></span>x</span></span>=<span>−<span>1.290649</span></span></span>
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Answer: 0.249

Step-by-step explanation: To write a percent as a decimal, first remember that a percent is a ratio that compares a number to 100.

We can think of 24.9% as the ratio 24.9 to 100 or 24.9 ÷ 100.

Remember that dividing by 100 moves the decimal point two places to the left so 24.9 ÷ 100 will move the decimal point two places to the left which would give us .249 or 0.249.

Therefore, 24.9% can be written as the decimal 0.249.

7 0
3 years ago
Given the function ƒ(x ) = 9 - 2x, find x when ƒ(x ) = 25. <br><br> -41<br><br> 17 <br><br> -8
Salsk061 [2.6K]
f(x)=9-2x
--------------------
f(x)=25
9-2x=25
-9     -9

-2x=16
/-2   /-2

x = -8
---------------------
f(x)=-41
9-2x=-41
-9      -9

-2x=-50
/-2   /-2

x = 25
----------------------
f(x)=17
9-2x=17
-9     -9

-2x=8
/-2  /-2

x = -4
-----------------------
f(x)=-8
9-2x=-8
-9     -9

-2x=-17
/-2   /-2

x = -17/2
7 0
4 years ago
What is the answer 20 divided by 2(5+5)
babunello [35]
\frac{20}{2(5+5)} - Following the order of operations, we do parenthesis first. 
\frac{20}{2(10)} - Multiply out the value against the parenthesis. 
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4 0
3 years ago
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Matthew drank 0.375 liters of milk. Write how much milk Matt drank as a fraction. liters
olganol [36]
Hello!

375/1000 = 0.375 as a fraction

This can be simplified to 3/8

The answer is 3/8

Hope this helps!
3 0
3 years ago
Read 2 more answers
*30 POINTS*
shepuryov [24]

Answer:

Step 4

Step-by-step explanation:

Step 4 is incorrect because when you add the number from the right side, -34, you make it a positive coming to the left side, -17, which stays the same. so 34+-17, will give you 17.

This will make Step 4: Addition property of equality: -17x=40

Therefore Step 5 is also incorrect, and should look like: Step 5: Division Property of Equality: x= 40/-17

5 0
3 years ago
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