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3 years ago

Which of the following represents the characteristics of the graph of x < 4? Please help.

Mathematics

1 answer:

sleet_krkn [62]3 years ago

4 0

Open circle on 4 and shaded to the left is the correct characteristics of the graph of $x < 4$

Option C is correct.

Step-by-step explanation:

We need to identify the characteristics of the graph of $x < 4$

The graph will contain all values that are less than 4.

4 is not included in the graph because we have less than sign and not less than equal to. So, an open circle will appear on 4.

All values less than 4 are on the left of 4, so shaded to the left of the graph.

The graph of $x < 4$ is attached in the figure below.

So, open circle on 4 and shaded to the left is the correct characteristics of the graph of $x < 4$

Option C is correct.

Keywords: Solving inequalities

Learn more about Solving inequalities at:

#learnwithBrainly

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40% of people would buy the car again.

Hope this helps!

Step-by-step explanation:

4 0

3 years ago

Given that f(–2.4) = -1 and f(-1.9) = -8, approximate f'(-2.4). f'(-2.4)

lora16 [44]

Answer:

f'(-2.4) ≈ -14

General Formulas and Concepts:
Algebra I

Coordinate Planes

Coordinates (x, y)

Slope Formula: $\displaystyle m = \frac{y_2 - y_1}{x_2 - x_1}$

Functions

Function Notation

Calculus

Differentiation

Derivatives
Derivative Notation

Step-by-step explanation:

*Note:

The definition of a derivative is the slope of the tangent line.

Step 1: Define

Identify.

f(-2.4) = -1

f(-1.9) = -8

Step 2: Differentiate

Simply plug in the 2 coordinates into the slope formula to find slope m.

[Derivative] Set up [Slope Formula]: $\displaystyle f'(-2.4) \approx \frac{f(x_2) - f(x_1)}{x_2 - x_1}$
Substitute in coordinates: $\displaystyle f'(-2.4) \approx \frac{-8 - -1}{-1.9 - -2.4}$
Evaluate: $\displaystyle f'(-2.4) \approx -14$

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Learn more about derivatives: brainly.com/question/17830594

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Topic: AP Calculus AB/BC (Calculus I/I + II)

Unit: Differentiation

6 0

2 years ago

The matrix C=[1,-2_-3,7] was used to encode a phrase to [7,-28,-25,-35,-2_-21,107,90,123,17]. Find C^-1 and use it to decode the

posledela

$C= \left[\begin{array}{cc}1&-2\\-3&7\end{array}\right] \\ C^{-1}= \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \\ \left[\begin{array}{cc}7&2\\3&1\end{array}\right] \times \left[\begin{array}{ccccc}7&-28&-25&-35&-2\\-21&107&90&123&17\end{array}\right] \\ =\left[\begin{array}{ccccc}49-42&-196+214&-175+180&-245+246&-14+34\\21-21&-84+107&-75+90&-105+123&-6+17\end{array}\right] \\ =\left[\begin{array}{ccccc}7&18&5&1&20\\0&23&15&18&11\end{array}\right]$
is the required matrix.

6 0

3 years ago

If one three-digit number ( 0 cannot be a left digit) is chosen at random from all those that can be made from the following set

Oksana_A [137]

The probability of choosing a number that is not a multiple of 2 is P = 0.44

<h3 /><h3>How to find the probability?</h3>

We need to count the number of options for each digit.

For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
For the third digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}.

The total number of combinations is the product between the numbers of options:

C = 8*9*9 = 648

If we want our number to not be a multiple of 2 then it must end in a odd digit, the combinations that meet that condition are:

For the first digit, we have 8 options {1, 2, 3, 4, 5, 6, 7, 8}
For the second digit, we have 9 options {0 ,1, 2, 3, 4, 5, 6, 7, 8}
For the third digit, we have 4 options {1, 3, 5, 7}.

C = 8*9*4 = 288

Then the probability of selecting a 3 digit number that is not a multiple of 2 is:

P = 288/648 = 0.44

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2 years ago

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