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3 years ago

8

Kendall's sister had 25 hair clips. 7 of them were blue and the rest were purple.What percent of Kendall's sister hair clips wer

e purple?

1 answer:

Ludmilka [50]3 years ago

3 0

The answer is 18/25 = .72 or 72%

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In the previous part, we obtained dy dx = 3t2 − 27 −2t . Next, find the points where the tangent to the curve is horizontal. (En

mina [271]

Answer:

(27.55, 7.22), (-11.3, 3.21).

Step-by-step explanation:

When is the tangent to the curve horizontal?

The tangent curve is horizontal when the derivative is zero.

The derivative is:

$\frac{dy}{dx} = 3t^{2} - 2t - 27$

Solving a quadratic equation:

Given a second order polynomial expressed by the following equation:

$ax^{2} + bx + c, a\neq0$ .

This polynomial has roots $x_{1}, x_{2}$ such that $ax^{2} + bx + c = a(x - x_{1})*(x - x_{2})$ , given by the following formulas:

$x_{1} = \frac{-b + \sqrt{\bigtriangleup}}{2*a}$

$x_{2} = \frac{-b - \sqrt{\bigtriangleup}}{2*a}$

$\bigtriangleup = b^{2} - 4ac$

In this question:

$3t^{2} - 2t - 27 = 0$

So

$a = 3, b = -2, c = -27$

Then

$\bigtriangleup = b^{2} - 4ac = (-2)^{2} - 4*3*(-27) = 328$

So

$t_{1} = \frac{-(-2) + \sqrt{328}}{2*3} = 3.35$

$t_{2} = \frac{-(-2) - \sqrt{328}}{2*3} = -2.685$

Enter your answers as a comma-separated list of ordered pairs.

We found values of t, now we have to replace in the equations for x and y.

t = 3.35

$x = t^{3} - 3t = (3.35)^{3} - 3*3.35 = 27.55$

$y = t^{2} - 4 = (3.35)^2 - 4 = 7.22$

The first point is (27.55, 7.22)

t = -2.685

$x = t^{3} - 3t = (-2.685)^3 - 3*(-2.685) = -11.3$

$y = t^{2} - 4 = (-2.685)^2 - 4 = 3.21$

The second point is (-11.3, 3.21).

8 0

3 years ago

What is the inequality?

vlabodo [156]

Answer:

y < 0.25x + 4

Step-by-step explanation:

The dotted line indicates that the inequality is either a greater than(>) or less than(<). This is because the answer does include the set of points along the line.

We are looking to find an inequality such that any point below that is considered a solution. Thus, after finding the line's equation in slope-intercept form, we can replace the = with <.

Solving for the line:

Take any 2 points and determine the slope. I used (-8,2) and (0,4). The slope using $\frac{y_2-y_1}{x_2-x_1}$ results in $\frac{1}{4}$ or 0.25. As we can see visually from the graph, the y-intercept is (0,4). Thus, the equation of the line is y = 0.25x + 4.

Now all we do is replace the = with the < and we have our answer:

y < 0.25x + 4

4 0

3 years ago

Read 2 more answers

8³ x 2⁷= •••<br>a.4¹⁶<br>b.2¹⁶<br>c.4⁸<br>d.2⁸

Vesnalui [34]

Answer: B:2^16

Step-by-step explanation:2^16=65536 and 8^3 x 2^7 = 65536

5 0

3 years ago

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Heavy rain in Oxford caused the Brandywine Creek to rise. The creek rose three inches the first day,

Lady bird [3.3K]

Answer: Well, their were 15 inches on the 5th day or if you add them all up 48 inches total.

Step-by-step explanation:

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2 years ago

Find the slope with these two points (3,-8) and (6,-4)

Tomtit [17]

4/3 is the rise over run which is also the slope

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3 years ago

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