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Tcecarenko [31]

3 years ago

5

Asia is buying some CDs. The equation below shows the relationship between x, the number of CDs she buys, and y, the cost. 3. Ho

w many CDs can Asia purchase for $30?

1 answer:

Svetradugi [14.3K]3 years ago

4 0

She can buy ten CDs.

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Sarah kicked a ball in the air. The function

Aleksandr-060686 [28]

Answer: The ball hits the ground at 5 s

Step-by-step explanation:

The question seems incomplete and there is not enough data. However, we can work with the following function to understand this problem:

$f=30 t- 6t^{2}$ (1)

Where $f$ models the height of the ball in meters and $t$ the time.

Now, let's find the time $t$ when the ball Sara kicked hits the ground (this is when $f=0 m$ ):

$0=30 t- 6t^{2}$ (2)

Rearranging the equation:

$6t^{2}-30 t=0$ (3)

Dividing both sides of the equation by $6$ :

$t^{2}-5 t=0$ (4)

This quadratic equation can be written in the form $at^{2}+bt+c=0$ , and can be solved with the following formula:

$t=\frac{-b \pm \sqrt{b^{2}-4ac}}{2a}$ (5)

Where:

$a=1$

$b=-5$

$c=0$

Substituting the known values:

$t=\frac{-(-5) \pm \sqrt{(-5)^{2}-4(1)(0)}}{2(1)}$ (6)

Solving we have the following result:

$t=5 s$ This means the ball hit the ground 5 seconds after it was kicked by Sara.

6 0

3 years ago

Enter the domain and range of the function g(x) = 9x2 − 5 as an inequality, using set notation and using interval notation. Comp

tia_tia [17]

The domain and the range of a function are the set of input and output values, the function can take.

<em>The domain and the range of </em> $g(x) = 9x^2 - 2$ <em> is </em> $(-\infty, \infty)$ <em>.</em>
<em>The parent function </em> $f(x) =x^2$ <em> is vertically compressed by 9, then shifted down by 5 units to get </em> $g(x) = 9x^2 - 2$ <em />

<em />

Given

$g(x) = 9x^2 - 2$

<u>Domain and range</u>

There is no restriction as to the input and the output of function g(x).

This means that the domain and the range are $(-\infty, \infty)$

$(-\infty, \infty)$ is in interval notation

The corresponding set notation is: $- \infty < x < \infty$

<u />

<u>The parent function</u>

We have:

$f(x) = x^2$

First, the parent function is vertically compressed by a factor of 9.

The rule of this transformation is:

$(x,y) \to (x,9y)$

So, we have:

$f'(x) = 9x^2$

Next, the function is shifted down by 5 units.

So, we have:

$g(x) = f'(x) - 5$

$g(x) = 9x^2 - 5$

Read more about functions at:

brainly.com/question/21027387

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2 years ago

What is the measure of ∠ADC?

Pachacha [2.7K]

Answer:

131

Step-by-step explanation:

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3 years ago

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A) Determine which amounts of postage can be formed using just 3-cent and 10-cent stamps.

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wait i will take screen shot please bran-list

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3 years ago

Someone help me with this pls

Nostrana [21]

(5^-2)^2 and 5^2•5^-6

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3 years ago