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11111nata11111 [884]
3 years ago
5

Good morning beautiful hope you have a great day and I hope you have a good day one

Mathematics
2 answers:
andrew11 [14]3 years ago
5 0
Thanks, you too, you are so nice and sweet
Colt1911 [192]3 years ago
4 0

Answer:

Thanks

Step-by-step explanation:

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Solve the following equation. 2x - 1 ≤ x 5
wariber [46]

<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>
5 0
4 years ago
Please help which should I choose
Aleksandr [31]
<h3>Answer: Choice A. Graph (1)</h3>

Reasoning:

If it is at all possible to draw a single vertical line through more than one point on the curve, then the graph is not a function. With graphs (2), (3) and (4), we can draw a vertical line through more than one point on those curves, so they aren't functions. Graph (1) is the only thing left. This graph is a function because it is not possible to draw a single vertical line through more than one point. It passes the vertical line test. Any input (x) leads to exactly one and only one y output.

Nice work on getting the correct answer when you chose "graph (1)".

7 0
3 years ago
What is the length of the rectangle?
gregori [183]

Step-by-step explanation:

area \: of \: rectangle \:  = 60 \:  {yards}^{2}  \\  \therefore \: (w + 4) \times \: w = 60\\  \\  \therefore \:  {w}^{2}  + 4w -60 = 0 \\  \\  \therefore \: {w}^{2}  + 10w - 6w -60 = 0 \\  \\   \therefore \: w({w} + 10) - 6(w  + 10)= 0 \\  \\  \therefore \: ({w} + 10) (w- 6)= 0 \\ \therefore \: {w} + 10 = 0 \: or \: w- 6 = 0 \\  \therefore \: {w}   = -  10  \: or \: w =  6  \\  \because \: sides \: of \: rectangle \: cant \: be \: negative \\  \therefore \: w \neq \:    - 10 \\  \\ \therefore \: w = 6 \\  \\ \therefore \: w + 4 = 6 + 4 = 10 \\  \\ length \: of \: rectangle \:  = 10 \: yards.

4 0
3 years ago
The parabolic arch of a bridge over a one-way road can be described by the equation y = -x^2 + 6, where x and y ar emeasured in
Vladimir [108]
So check the picture below

if we check the solutions or zeros for the equation, we get \bf y=-x^2+6\implies 0=-x^2+6\implies x=\pm \sqrt{6}

and as you can see in the picture, the value of "x" when y = 3.5, or the height of the truck is  \bf y=-x^2+6\implies 3.5=-x^2+6\implies x=\pm \sqrt{2.5}

the truck, ends up with a clearance of \bf \sqrt{2.5}-1.5 on either side, so, the maximum clearance, the truck can have, those two clearances added together, \bf 2(\sqrt{2.5}-1.5)

5 0
3 years ago
Composite function is the result of using one function as the input for another function.
ipn [44]

Answer:

True

Step-by-step explanation:

That is the definition of composite function

3 0
3 years ago
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