What is the determinant of

state domain and range, intercepts, relative max and relative mins points and values, intervals of increase and decrease, interv

Anarel [89]

The domain of the graph is -∝ < x < ∝ and the range of the graph is -∝ < y < ∝. Also, the graph has no axis of symmetry

<h3>The domain and range of the graph</h3>

From the graph, we can see that the x values extend indefinitely

So, the domain of the graph is -∝ < x < ∝

From the graph, we can see that the y values extend indefinitely

So, the range of the graph is -∝ < y < ∝

<h3>The intercepts</h3>

This is where the graph crosses the axes

So, we have the intercepts to be

x-intercept = -4, -2 and 2
y-intercept = -9

<h3>Relative max and relative mins points and values, </h3>

The graph has a relative maximum at (3, 3) and the relative minimum are (0.5, 10)

<h3>Intervals of increase and decrease, </h3>

There are the intervals where the function increases and decreases

So, we have the intervals to be

Increasing interval: (0.5, ∝) and (-∝, -3)
Decreasing interval: (-3, 0.5)

<h3>Intervals of positive and negative,</h3>

There are the intervals where the function is positive and negative

So, we have the intervals to be

Positive interval: (-4, -2) and (2, ∝)
Negative interval: (-∝, -4) and (-2, 2)

<h3>The symmetry</h3>

This is the line that divides the graph equal part

In this case, the graph has no axis of symmetry

<h3>The end behavior</h3>

Using the intervals where the function is positive and negative, the end behavior is

As x ⇒ ∝, f(x) ⇒ +∝
As x ⇒ -∝, f(x) ⇒ -∝

Read more about functions at:

brainly.com/question/3951754

#SPJ1

3 0

2 years ago

A mattress store sells only king, queen and twin-size mattresses. Sales records at the store indicate that the number of queen-s

Nitella [24]

Answer:

The probability that the next mattress sold is either king or queen-size is P=0.8.

Step-by-step explanation:

We have 3 types of matress: queen size (Q), king size (K) and twin size (T).

We will treat the probability as the proportion (or relative frequency) of sales of each type of matress.

We know that the number of queen-size mattresses sold is one-fourth the number of king and twin-size mattresses combined. This can be expressed as:

$P_Q=\dfrac{P_K+P_T}{4}\\\\\\4P_Q-P_K-P_T=0$

We also know that three times as many king-size mattresses are sold as twin-size mattresses. We can express that as:

$P_K=3P_T\\\\P_K-3P_T=0$

Finally, we know that the sum of probablities has to be 1, or 100%.

$P_Q+P_K+P_T=1$

We can solve this by sustitution:

$P_K=3P_T\\\\4P_Q=P_K+P_T=3P_T+P_T=4P_T\\\\P_Q=P_T\\\\\\P_Q+P_K+P_T=1\\\\P_T+3P_T+P_T=1\\\\5P_T=1\\\\P_T=0.2\\\\\\P_Q=P_T=0.2\\\\P_K=3P_T=3\cdot0.2=0.6$

Now we know the probabilities of each of the matress types.

The probability that the next matress sold is either king or queen-size is:

$P_K+P_Q=0.6+0.2=0.8$

8 0

3 years ago

Which numbers are greater than 0.7? 0.37, 0.9, 0.08, 0.69, 0.71

Anna35 [415]

Remember that that the further the the left a digit is, the bigger the number, for example 0.8 is bigger than 0.08 which is in turn bigger than 0.008

Using this we can see that;

0.9, 0.71

Are the only two numbers bigger than 0.7

7 0

3 years ago

Determine the intercepts of the line. -6x+3y=-7

Anit [1.1K]

To find x-intercept substitute 0 for y and solve for x
-6x + 3(0) = -7
Simplify
-6x=-<span>7
</span>Divide each side by -6
-6x ÷ -6 = -7 ÷ -6
x = 7/6
X = 7/6 is your x intercept
-------------------------------------
To find y-intercept substitute 0 for x and solve for y
<span>-6(0)+3y=-7
Simplify
</span><span>3y</span>=-<span><span>7
</span></span><span>Divide each side by 3
3y </span>÷ 3 = -7 ÷ 3
<span>y = -7/3
Y = -7/3 is your y-intercept

</span>

3 0

3 years ago

What is the coefficient in the expression 3-15r?

astraxan [27]

Answer:

15

Step-by-step explanation:

Coefficient means the number in front of the variable (like r) or term (a letter).

In your expression 3-15r, 15 is the coefficient.

I hope this helps.

6 0

3 years ago