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adell [148]
4 years ago
7

Can someone please explain to me on how to solve this problem? (Multi-Step Inequalities)

Mathematics
1 answer:
Nina [5.8K]4 years ago
6 0
3m + 12 < 24
3m + 12 - 12 < 24 - 12
3m < 12
3/3m < 12/3
m < 4
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The curve with the equation y=8x^2 + 2/x has one turning point.
anyanavicka [17]

Answer:

(1/2, 6).

Step-by-step explanation:

Turning points in a graph may exist whenever the derivative equals 0. Hence, let’s differentiate and then solve our function.

We have:

\displaystyle y=8x^2+\frac{2}{x}

Take the derivative of both sides with respect to x:

\displaystyle y^\prime=16x-\frac{2}{x^2}

Simplify:

\displaystyle y^\prime=\frac{16x^3-2}{x^2}

We will now set this equal to 0 and solve for x. Hence:

\displaystyle \begin{aligned} 0&=\frac{16x^3-2}{x^2} \\ 0&=16x^3-2 \\ 2&=16x^3 \\ \frac{1}{8}&=x^3 \\ \frac{1}{2}&=x \end{aligned}

Hence, the graph turns at x=1/2. This is the x-coordinate.

Then it follows that the y-coordinate will be:

\displaystyle{\begin{aligned} y&=8(\frac{1}{2})^2+\frac{2}{\frac{1}{2}} \\ y&=8(1/4)+2(2) \\ y&=2+4 \\ y&=6\end{aligned}

Hence, our coordinate Is (1/2, 6).

8 0
3 years ago
which point could be removed in order to make it the relation a function? (-4, 3) (-5, 6) (1, 0) (-4, 5) (9, 5) (0, -7)
svetoff [14.1K]

In a function, each input (x-) value has exactly one output (y-) value. That's not the case here, where we have (-4,5) and (-4,3) (two different y-values for one x-value). Eliminating either (-4,5) or (-4,3) will make this relation into a function.

6 0
3 years ago
Read 2 more answers
Write the sentence as an equation.<br><br> 260 is equal to d plus 236 ?​
s344n2d4d5 [400]

Answer:

260 = d + 236 or d + 236 = 260

Step-by-step explanation:

Mental Math

7 0
3 years ago
you accidentally dropped a coin from the top of 10 stairs. what is the probability that it will land on the 4th step facing up
Roman55 [17]

Answer:

Step-by-step explanation:

1/10 * 1/4 = 1/14

1/2 because there is a 50/50% chance its either heads or tails

3 0
4 years ago
If you spend $9.50, will you get a free greeting card? Use the graph to explain how you know.​
sdas [7]

Answer:

It depends on what you spend it on. And no.

4 0
3 years ago
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