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SVETLANKA909090 [29]
2 years ago
11

Where is the hole for the following function located?

Mathematics
2 answers:
Drupady [299]2 years ago
7 0

<em>At x = -3 is located a hole. </em>

<h2>Explanation:</h2>

In this problem, we have the following function:

f(x)=\frac{x+3}{(x-4)(x+3)}

A hole will lie at the x-values that makes the function undefined, that is, when the denominator is zero. In a mathematical language:

(x-4)(x+3)=0

From this equation, we get two solutions:

x=4 \\ \\ x=-3

At those x-values the function will have a hole. From the choices:

<em>At x = -3 is located a hole. </em>

<h2>Learn more:</h2>

Derivative: brainly.com/question/13419010

#LearnWithBrainbly

Helen [10]2 years ago
3 0

Answer:

At x = -3 is located a hole. At x = -3 is located a hole. At x = -3 is located a hole. At x = -3 is located a hole. At x = -3 is located a hole. At x = -3 is located a hole. At x = -3 is located a hole. At x = -3 is located a hole. At x = -3 is located a hole.

Step-by-step explanation:

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Which is a counterexample for the conditional statement shown?
Arte-miy333 [17]

Answer: First Option

<em>The points have the same x-coordinate value.</em>

Step-by-step explanation:

By definition, a relation is considered a function if and only if for each input value x there exists <u><em>only one </em></u>output value y.

So, the only way that the line that connects two points in the coordinate plane is not a function, is that these two points have the same coordinate for x.

For example, suppose you have the points (2, 5) and (2, 8) and draw a line that connects these two points.

The line will be parallel to the y axis.

Note that the value of x is the same x = 2. But when x = 2 then y = 5 and y = 8.

There <u><em>are two output</em></u><em> </em>values (y = 8, y = 5) for the same input value x = 2.

In fact all the vertical lines parallel to the y-axis have infinite output values "y" for a single input value x. Therefore, they can not be defined as a function.

<u>Then the correct option is: </u>

<em>The points have the same x-coordinate value.</em>

7 0
3 years ago
Raina bought three books at a bookstore. Here are their prices (in dollars). 18.8, 4, 9.38 What is the total amount Raina paid a
artcher [175]

Answer:

$32.18

Step-by-step explanation:

It's really just addition. No explanation necessary.

4 0
3 years ago
An electronics company packages its product in cube-shaped boxes. These boxes are placed into a larger box that measures 3 ft lo
gladu [14]

The number of boxes fitted in the larger container is found out by the volume of both boxes.

The number of boxes fitted into the larger container is 480.

<h3>What is the volume?</h3>

The volume can be defined as the space occupied by an object in three dimensions.

Given that the edge of the cube box is 1/4 ft. The dimensions of the larger box are 3 ft long, 1 1/4 ft wide, and 2 ft.

The volume of the cube box is calculated as given below.

V_s = s^3

Where Vs is the volume of the cube box and s is the edge of the cube box.

V_s = \dfrac {1}{4}^3

V_s = 0.015625\;\rm ft^3

The volume of the larger box is calculated as given below.

<em />V = l \times w\times h

Where V is the volume, l is length, w is width and h is the height of the larger box.

V = 3 \times \dfrac {5}{4} \times 2

V = 7.5\;\rm ft^3

The number of cube boxes fitted into the larger box is calculated as given below.

No. \; of \;boxes = \dfrac {V}{V_s}

No. \; of \;boxes = \dfrac {7.5}{0.015625}

No. \; of \;boxes = 480

Hence we can conclude the number of boxes fitted into the larger container is 480.

To know more about the volume, follow the link given below.

brainly.com/question/1578538.

8 0
2 years ago
35 is what percent of 150? Enter your answer in decimal form to the nearest hundreth.
Sophie [7]

Answer:

23.33%

Step-by-step explanation:

Solution for 35 is what percent of 150:

35: 150*100 =

(35*100): 150 =

3500: 150 = 23.33

Now we have: 35 is what percent of 150 = 23.33

Question: 35 is what percent of 150?

Percentage solution with steps:

Step 1: We make the assumption that 150 is 100% since it is our output value.

Step 2: We next represent the value we seek with x.

Step 3: From step 1, it follows that 100%=150.

Step 4: In the same vein, x%=35.

Step 5: This gives us a pair of simple equations:

100%=150(1).

x%=35(2).

Step 6: By simply dividing equation 1 by equation 2 and taking note of the fact that both the LHS

(left hand side) of both equations have the same unit (%); we have

\frac{100\%}{x\%}=\frac{150}{35}

Step 7: Taking the inverse (or reciprocal) of both sides yields

\frac{x\%}{100\%}=\frac{35}{150}

Therefore, 35 is 23.33% of 150.

7 0
2 years ago
2. (20x4 – 4x3 + 12x2) = (4x2)
olasank [31]

Answer:

the answer to the question is 1/20

3 0
3 years ago
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