Select the correct answer.
What are the roots of this quadratic equation?

help

Answer:

(3,10)

Step-by-step explanation:

The ordered pair is the pair of (origin, f(origin)), so the first value must be 3, and the second is the result of x=3 applied to 3x+1, i.e., 10.

The ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) do not correspond to the intervals where the graph of f(x) is decreasing. The pairs (1, -2) and (-3, -18) are the correct ones.

To determine where the graph of f(x) is decreasing, we need to examine the intervals where the function's derivative is negative. The derivative of f(x) is given by f'(x) = -3x^2 - 8x + 3.

Now, let's evaluate f'(x) for each of the given x-values:

f'(-1) = -3(-1)^2 - 8(-1) + 3 = -3 + 8 + 3 = 8

f'(2) = -3(2)^2 - 8(2) + 3 = -12 - 16 + 3 = -25

f'(0) = -3(0)^2 - 8(0) + 3 = 3

f'(1) = -3(1)^2 - 8(1) + 3 = -3 - 8 + 3 = -8

f'(-3) = -3(-3)^2 - 8(-3) + 3 = -27 + 24 + 3 = 0

f'(-4) = -3(-4)^2 - 8(-4) + 3 = -48 + 32 + 3 = -13

From the values above, we can determine the intervals where f(x) is decreasing:

f(x) is decreasing for x in the interval (-∞, -3).

f(x) is decreasing for x in the interval (1, 2).

Now let's check the ordered pairs in the table:

(-1, -6): Not in a decreasing interval.

(2, -18): Not in a decreasing interval.

(0, 0): Not in a decreasing interval.

(1, -2): In a decreasing interval.

(-3, -18): In a decreasing interval.

(-4, -12): Not in a decreasing interval.

Therefore, the ordered pairs (-1, -6), (2, -18), (0, 0), and (-4, -12) are not located in the intervals where the graph of f(x) is decreasing. The correct answer is: (1, -2), (-3, -18).

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Note the complete and the correct question is

Q- Consider the function below, which has a relative minimum located at (-3, -18) and a relative maximum located at 1/3, 14/27).

\(f(x) = -x^3 - 4x^2 + 3x\).

Select all ordered pairs in the table which are located where the graph of f(x) is decreasing: Ordered pairs: (-1, -6), (2, -18), (0, 0),(1 , -2), (-3 , -18), (-4. , -12)

Answer: 0.6667 ounces

Step-by-step explanation:

1/12 cups to ounces

1/12 cups=0.0833333333

0.0833333333 cups = 0.6666666664 ounces

0.6666666664 ounces=66.63/100=33.315/50

The vertex of the graph is a maximum at (-2, 4)

From the question, we have the following parameters that can be used in our computation:

The graph

The graph is a quadratic function

From the graph, we can see that the graph has a maximum value

This maximum value represents the vertex of the graph

And it is located at (-2, 4)

So, we have

Maximum = (-2, 4)

Hence, the maximum value of the function is (-2, 4)

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The length of the line segment AB is 5 units.

Unfortunately, you haven't provided any information about PQ such as its location or any other data to help solve the question.

Therefore, it's impossible to determine the length of PQ using the given options. However, here is an explanation of how to find the length of a line segment using the distance formula, which may help you in solving similar questions in the future.

The distance formula is used to find the distance between two points in a coordinate plane, such as the length of a line segment. The formula is:

d = √((x₂ - x₁)² + (y₂ - y₁)²)

where d is the distance, (x₁, y₁) and (x₂, y₂) are the coordinates of the two points.

To use the distance formula, you first need to find the coordinates of the two points that make up the line segment. Then, substitute these coordinates into the formula and simplify to find the distance.

For example, let's say you have two points: A(1, 2) and B(4, 6), and you want to find the length of the line segment AB. Using the distance formula:

d = √((4 - 1)² + (6 - 2)²)
d = √(3² + 4²)
d = √(9 + 16)
d = √25
d = 5

Remember, the distance formula can be applied to any two points in a coordinate plane to find the distance between them.

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Answer:

  15.62

Step-by-step explanation:

The length XY is found from the distance formula:

  d = √((x2 -x1)² +(y2 -y1)²)

  d = √((4 -(-8))² +(-6 -4)²) = √(12² +(-10)²) = √244

  d ≈ 15.62 . . . units

The length of XY is approximately 15.62 units.

The relationship between the depth(d), the base area (b) and volume (V) is d = 2400/b

An equation is an expression that shows the relationship between two or more numbers and variables.

Equations are classified based on degree (value of highest exponents) as linear, quadratic, cubic and so on. Variables can be dependent or independent. Dependent variables depend on other variable while an independent variable do not depend.

Let d represent the depth of the tank, b represent the area of the base and V represent the volume.

The depth of water is inversely proportional to the area of its base at constant volume. Hence

d = V/b

When b = 200 ft² and d = 12:

12 = V/200

V = 2400

d = 2400/b

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Nominal categorical data is a categorical variable with two or more values, with no order. The examples of nominal categorical data here are the issue type, country, city.

Categorical data can be divided as two as per the variables. They are nominal and ordinal. In nominal categorical data, there will be two or more data points, but they are not ranked. The hair color can be red/blond/brown/black etc. But these cannot be ranked by taking one over the other.

In ordinal categorical data, there we can assign an order on the data points. Like grading system in marks of students, size comparison like large, medium, small. Here we could rank these in order.

Year can sometimes be nominal and sometimes ordinal. It is as per the context. If we are using it to calculate time it is ordinal.

So here we could not rank of variables in country, issue type, city. So all are nominal categorical data.

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Answer:

y= -3x+1

Step-by-step explanation:

x1= -2 x2=2 y1=7 y2=-5

using the formula

(y-y1)/(x-x1)=(y2-y1)/(x2-x1)

(y-7)/(x-(-2))=(-5-7)/(2-(-2))

(y-7)/(x+2)=(-5-7)/(2+2)

(y-7)/(x+2)=(-12)/4

(y-7)/(x+2)=-3

cross multiply

y-7=-3(x+2)

y-7=-3x-6

y=-3x-6+7

y=-3x+1

Answer:

last one

Step-by-step explanation:

can you help me with my question

Answer:

(4x+3)⋅(2−x)

Step-by-step explanation:

(6x - 3) +  (((0 -  2^2x^2) -  x) +  9)

-4x2 - 3x + 8x + 6

-x • (4x+3)

 2 • (4x+3)

(-x+2)  •  (4x+3)

(4x + 3) • (2 - x)

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The number line that shows the solution to the inequality is given as follows:

First number line.

The inequality in the context of this problem is defined as follows:

-6x + 5 >= 17

-6x >= 12.

Due to the negative sign of the leading coefficient, we should change the sign of all terms, including the sign, as follows:

6x <= -12.

Then the solution is given as follows:

x <= -2.

Which is composed by the numbers to the left of the closed interval at x = -2, hence the first number line gives the solution to the inequality.

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The number line that shows the solution to the inequality is: C. graph C.

In Mathematics and Geometry, an inequality refers to a mathematical relation that is typically used for comparing two (2) or more numerical data and variables in an algebraic equation based on any of the inequality symbols;

Based on the information provided above, we have the following equation (inequality);

-6x + 5 ≥ 17

By subtracting 5 from both sides of the equation (inequality), we have;

-6x + 5 - 5 ≥ 17 - 5

-6x ≥ 12

x ≤ 12/6

x ≤ 2 (it would be shaded to the left with a closed circle at 2).

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Answer:

40 degrees Celsius (40°C)

hopefully this helped :3

Answer:

That answer is 1.814

Step-by-step explanation:

ANSWER: 480 out of 1200 were taken at the Honolulu Zoo.

Therefore, the measure of angle V to the nearest 10th of a degree is 58.7 degrees.

An angle is a geometric figure formed by two lines or rays that share a common endpoint called the vertex. The two lines or rays are called the sides or legs of the angle. Angles are usually measured in degrees or radians and are used to describe the relationship between two lines or the orientation of an object in space. In a standard angle measurement system, a full circle contains 360 degrees, and each degree is divided into 60 minutes, and each minute is divided into 60 seconds.

To find the measure of angle V, we can use the Law of Cosines:

\(c^2 = a^2 + b^2 - 2ab*cos(C)\)

Where a, b, and c are the lengths of the sides opposite to angles A, B, and C, respectively.

In our case, we want to find the measure of angle V, which is opposite to side v. So, we have:

\(v^2 = u^2 + w^2 - 2uw*cos(V)\)

Plugging in the values we have:

\(2^2 = 8.6^2 + 7.7^2 - 28.67.7*cos(V)\)

Simplifying:

\(4 = 74.44 - 133.72*cos(V)\)

Rearranging:

\(133.72*cos(V) = 70.44\)

\(cos(V) = 0.5262\)

Now, we can use the inverse cosine function to find the measure of angle V:

\(V = cos^{(-1)}(0.5262) = 58.66 degrees\)

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Answer:

1.5

Step-by-step explanation:

Answer:

1.5

Explanation:

-4  -3  0  1.5  5.5  7

this is because the median is 1.5 and if you cross out every number from each number u'll find urself with 1.5.

ex:

-4 -3 -2 -1 0 1 2 3 4 5 6 7

-3 -2 -1 0 1 2 3 4 5 6

-2 -1 0 1 2 3 4 5

-1 0 1 2 3 4

0 1 2 3

1 2

and in between 1 and 2 is 1.5 so 1.5 is ur answer

i hope this helped <3

The minimum length of wire is 34.28 inches.

We are given that;

Two circles with radii 2 and 6

Now,

By the Pythagorean theorem, MN^2 = MS^2 + SN^2 = 4"^2 + 4"^2 = 32".

Therefore, MN = sqrt(32") = 4sqrt(2") (exact answer).

To find PQ and NM, we can use the formula for the circumference of a circle: C = 2pi*r.

PQ = pi6" and NM = pi2", since they are half-circumferences of the pipes with radii 6" and 2".

Therefore, the total length of the wire is MN + PQ + NM = 4sqrt(2") + pi6" + pi2".

To get an approximate answer, we can use a calculator and round to the nearest hundredth.

Therefore, by the circle the answer will be is 34.28 inches.

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According to the question an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

Two equations are considered to be comparable when their roots and solutions line up. To create an equivalent equation, the identical quantity, symbol, or expression has to be added to or removed from both of the equation's two sides. We can also create a similar equation by dividing or multiplying each component of an equation with a nonzero value.

given,

To determine which equation would give a bigger value, we can compare the expressions obtained by expanding Equation A and simplifying Equation B.

Expanding Equation A, we get:

A = (C + D) x (C + D) = C² + 2CD + D²

Simplifying Equation B, we get:

B = 2 x (C + D) = 2C + 2D

To compare the values of A and B, let's choose some values for C and D that are greater than zero. Let's choose C = 3 and D = 2.

Plugging these values into Equation A, we get:

A = 3² + 2(3)(2) + 2² = 9 + 12 + 4 = 25

Plugging these values into Equation B, we get:

B = 2(3 + 2) = 2(5) = 10

Since A is greater than B for the values of C = 3 and D = 2, we can conclude that Equation A gives a bigger value than Equation B for positive values of C and D.

Therefore, an example of C = 3 and D = 2 supports the answer that Equation A gives a bigger value than Equation B.

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Answer: 162°

Step-by-step explanation:

To find the answer to this question, we need to find what 45% of 360 degrees (a circle) is.

First, a percent divided by 100 becomes a decimal.

       45% / 100 = 0.45

Next, "of" means multiplication in mathematics.

       0.45 * 360 = 162

The central angle will be 162°.

Answer:

Answer:

y=9

Step-by-step explanation:

54+5y=11y

54=11y-5y

6y=54

y=54/6

y=9

Answer:

y = 9

Step-by-step explanation:

Well first things first. We have to get our variables on one side so we can set up the equation like this 54 + 5y - 5y = 11y - 5y.

After you do that you will be left with 54 = 6y, so now you can solve.

In order to solve we have to see if we have to undo any addition or subtraction. We don't, so we can look to see if we have to undo multiplication or division, we do. We can set up are new equation like this:

54/6 = 6y/6.

After you solve that you get 9 = y and that is how you get your answer.

y = 9

Step-by-step explanation:

To differentiate the function f(x) = 1/x^3, we can use the power rule of differentiation. Here's the step-by-step process:

Write the function: f(x) = 1/x^3.

Apply the power rule: For a function of the form f(x) = x^n, the derivative is given by f'(x) = nx^(n-1).

Differentiate the function: In our case, n = -3, so the derivative is:

f'(x) = -3 * x^(-3-1) = -3 * x^(-4) = -3/x^4.

Therefore, the derivative of the function f(x) = 1/x^3 is f'(x) = -3/x^4.

Answer:

The First one (1.7,3.1)

Step-by-step explanation:

3x-2=-0.5x+4

3.5x=6

x=12/7

x≈1.7

sub x back into to find y

y≈3.1

Answer:

-9/4

Step-by-step explanation: The equation to find slope is y2-y1 over x2- x1

So you need to take your 4 (y2) and your -5(y1) and you are going to subtract 4--5, two negatives make a positive so you add it and it becomes 9. Then you need to take -2 (x2) and 2 (x1) and subtract them -2-2 =4

That gives you -9/4.

I hope this helps :)

Answer:

Slope = -9/4

Step-by-step explanation:

To find slope use this formula⤵⤵⤵:

\( \frac{y _{2} - y _{1} }{x _{2} - x _{1}} \)

So we will take the y-values and subtract them, and we'll do the same for the x-values. Coordinates are written as (x,y)

4 - (-5) = 4 + 5 = 9

-2 - 2 = -4

Slope = -9/4

Hope this helps :)

Answer:

A

Step-by-step explanation:

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