What is 15 divided by 7.4?

The Vertex is : (-6, -30)

The X-intercepts are : Approximately (-10.89, 0) and (-1.11, 0)

The Y-intercept is : (0, 6)

The Axis of symmetry is : x = -6

The functions Domain: is All real numbers

The Range is : All real numbers greater than or equal to -30.

To sketch the graph of the quadratic function \(f(x) = x^2 + 12x + 6,\) we can start by identifying the vertex, x-intercepts, y-intercept, axis of symmetry, domain, and range.

To find the vertex, we can use the formula x = -b/2a, where a, b, and c are the coefficients of the quadratic equation in standard form\((ax^2 + bx + c).\)

In this case, a = 1, b = 12, and c = 6.

Applying the formula, we get x = -12/(2 \(\times\) 1) = -6.

To find the y-coordinate of the vertex, we substitute this x-value into the equation:\(f(-6) = (-6)^2 + 12(-6) + 6 = 36 - 72 + 6 = -30.\)

So, the vertex is (-6, -30).

To determine the x-intercepts, we set f(x) = 0 and solve for x. In this case, we need to solve the quadratic equation \(x^2 + 12x + 6 = 0.\)

Using factoring, completing the square, or the quadratic formula, we find that the solutions are not rational.

Let's approximate them using decimal values: x ≈ -10.89 and x ≈ -1.11. Therefore, the x-intercepts are approximately (-10.89, 0) and (-1.11, 0).

The y-intercept is obtained by substituting x = 0 into the equation: \(f(0) = 0^2 + 12(0) + 6 = 6.\)

Thus, the y-intercept is (0, 6).

The axis of symmetry is the vertical line that passes through the vertex. In this case, it is the line x = -6.

The domain of the function is all real numbers since there are no restrictions on the possible input values of x.

To determine the range, we can observe that the coefficient of the \(x^2\) term is positive (1), indicating that the parabola opens upward.

Therefore, the minimum point of the parabola occurs at the vertex, (-6, -30).

As a result, the range of the function is all real numbers greater than or equal to -30.

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Answer:

-14a^2b-42ab^2+56abc

Step-by-step explanation:

You can use the FOIL method

multiply the first numbers

then inner

then outer

then last

Answer:

Step-by-step explanation:

ok na ba chaurrr

We want to see where Oliver is making a mistake in his claim.

The correct option is the first one, the simplification on the last step is wrong.

We start with the expression:

\(tan( \frac{3*pi}{4} + x)\)

Now, by looking at Olvier's work, we can see that on the last step he writes:

\(\frac{-1 + tan(x)}{1 + tan(x)} = -1\)

This is clearly wrong, as the numerator and the denominator are dont simplify to -1 (this only happens if the numerator is -1 times the denominator), so the left side can't be equal to -1, it actually would be simplified to:

\(\frac{-1 + tan(x)}{1 + tan(x)} = \frac{-1 +1 - 1 tan(x)}{1 + tan(x)} = \frac{-2 + 1 + tan(x)}{1 + tan(x)} \\\\\frac{-2 + (1 + tan(x))}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + \frac{ 1 + tan(x)}{1 + tan(x)} = \frac{-2 }{1 + tan(x)} + 1\)

Then the correct option is the first option.

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Note that the probabilities are given below.

a) the probability of a randomly selected catch being a mouse caught by Cyd

p(Catching a mount) x p(Cyd made the catch)

= 0.5x .2

= 0.1

b) the   probability of a bird not caught by Cyd is 0.5 x 0.8 = 0.4.

Thus

P(that a catch is a bird) x p(the Cyd didn't make the catch)

= 0.3 x 0.8

=0.24

c) The probability of a randomly selected catch being caught by Greg is 0.45

To calculate, we say

(0.5   x0.45) + (0.3 x 0.45) + (0.2 x .45)

= 0.45.

d)

P (mouse caught by Greg) = (0.45 x 0.5) / 1

= 0.225.

e) P(catch is a mouse caught by Ken and catch is a mouse)

= P(catch is a mouse | catch is made by Ken) x P(catch is made by Ken)

= 0.05 x 0.1

= 0.005

f)

P (catch made by Cyd | catch is a mouse)

= 0.1    x 0.2 / 0.5

= 0.04

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Answer:

-7

Step-by-step explanation:

Leading coefficient:  the number written in front of the variable with the largest degree.

If a term has two or more variables, its degree is the sum of the exponents of its variables

For  \(2x^2y - 7x^2y^3 + 6xy^2\)

Therefore, the leading coefficient is -7 since the greatest sum of the exponents is of the second term.

\(\mathbb{FINAL\;ANSWER:}\)

\(\huge\boxed{\sf{The\;coefficient\;is\;-7}}\)

\(\mathbb{SOLUTION\;WITH\;STEPS:}\)

Hi! Hope you are having a nice day!

The leading coefficient of the given polynomial is -7.

Why? Because the leading coefficient is the number written before the variable with the largest exponent.

In this case, it's -7, because it's written next to a term that's cubed, and that's the largest exponent in the polynomial.

Also, if a term has two variables (or more) then we add the exponents in that term in order to get the degree of the term.

In this case, it's 5.

Hope you could understand everything.

#CarryOnLearning

Huda's error in evaluating (3) squared incorrectly led to the incorrect final result.

The correct answer should be -20, not 34.

Huda's error was that she evaluated (3) squared incorrectly.

Instead of calculating 3 squared as 9, she mistakenly considered it as 3. This error led to incorrect subsequent calculations and the final result of 34, which is not the correct answer.

To evaluate the expression correctly, let's go through the steps:

Negative 3 (8 minus 5) squared minus (negative 7) \(= -3(3)^2 - (-7)\)

First, we simplify the expression within the parentheses:

\(-3(3)^2 - (-7) = -3(9) - (-7)\)

Next, we evaluate the exponent:

-3(9) - (-7) = -3(9) + 7

Now, we perform the multiplication and addition/subtraction:

-3(9) + 7 = -27 + 7 = -20

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Answer:

20 There are 15 boys and 20 girls.

Answer:

A

Step-by-step explanation:

it's a scsle factor of 3.

Yes, your answers are correct.

And the answer would be different if the non-Normal because all the calculations are based on a normal ditributed production of the chocolate bars; if the production of the chocalte bars had a non normal distribution, for example a skewed distribution (to the left or to the right) all the values used in the calculation would be different.

The two equations that have the same solution as 2.3p – 10.1 = 6.5p – 4 – 0.01p include the following:

B. 2.3p – 10.1 = 6.49p – 4

C. 230p – 1010 = 650p – 400 – p

From the information provided, we have the following equation:

2.3p – 10.1 = 6.5p – 4 – 0.01p

Next, we would simplify the given equation by collecting like terms as follows;

2.3p - 10.1 = 6.5p - 0.01p - 4 = 6.49p - 4

2.3p - 10.1 = 6.49p - 4

In Mathematics, the multiplication property of equality states that both sides of an equation will remain the same and equal, when both sides of the equations are multiplied by the same number.

By multiplying both sides of the given equation by 100, we have;

100 × (2.3p - 10.1) = 100 × (6.5p - 4 - 0.01p)

230p - 1010 = 650p - 400 - p

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Answer:120

Step-by-step explanation: If the smaller number of the ratio is 24 that means the 1 is multiplied by 24 to reach the smaller share of 24. We then multiply 24 with 4 to get the number 96. Lastly you add 96 with 24 to get the total number of marbles

Answer/Step-by-step explanation:

a. First, find the value of a.

Sum of the interior angles of a triangle = 180° (triangle sum theorem)

Therefore:

3a + 2a + a = 180°

Add like terms

6a = 180°

6a/6 = 180/6

a = 30

Thus:

a = 30°

2a = 2(30) = 60°

3a = 3(30) = 90°

b. The triangle is an isosceles triangle because it has two sides that are indicated to be equal. This also implies that the angels opposite each of the equal sides are also congruent to each other.

Therefore, sum of the isosceles triangle would be:

2(2x) + 5x = 180°

4x + 5x = 180

9x = 180

9x/9 = 180/9

x = 20

Thus:

2x = 2(20) = 40

5x = 5(20) = 100

9514 1404 393

Answer:

The (piece, perceived values) are ...

Step-by-step explanation:

We assume the values and questions are as shown in the attachment.

1. After the division, Cindy bids only on piece 3, and Jamal bids only on piece 1. Hence the appropriate final division is ...

  Cindy: piece 3

  Jamal: piece 1

  Monique: piece 2

__

2. Monique divides the land so that the value of each piece to her is 33 1/3%. That is her perceived value for the piece she gets.

Answer: 10x2=20, 10x-6=-60, 6+2=8

Step-by-step explanation:

Answer:

B

Step-by-step explanation:

Triangle B because 128°>90°

Answer:

it should be correct ANSWER D TRIANGLE B

Step-by-step explanation:

"An obtuse triangle is a triangle in which one of the angles is an obtuse angle. (Obviously, only a single angle in a triangle can be obtuse or it wouldn't be a triangle.) A triangle must be either obtuse, acute, or right"

-dont worry you are smart we are all good at something!

Answer:

75%

Step-by-step explanation:

20/80 are transferred

1/4 are transferred

3/4 remain

3/4 = 75%

Answer:

75%

Step-by-step explanation:

The solution of the inequality is -1 ≤ x ≤ 3.

To solve the inequality |2x(x-1)+12| ≤ 18, we can break it down into two separate inequalities:

2x(x-1) + 12 ≤ 18

-(2x(x-1) + 12) ≤ 18

Solving the first inequality:

2x(x-1) + 12 ≤ 18

2x² - 2x + 12 ≤ 18

2x² - 2x - 6 ≤ 0

Solving the second inequality:

-(2x(x-1) + 12) ≤ 18

-2x(x-1) - 12 ≤ 18

-2x² + 2x - 12 ≤ 18

2x² - 2x + 30 ≤ 0

Now, let's solve each inequality separately.

For the first inequality, 2x² - 2x - 6 ≤ 0:

We can factor this quadratic equation:

(2x + 2)(x - 3) ≤ 0

To determine the sign of the inequality, we need to consider the intervals where the expression is positive or negative. We set each factor equal to zero to find the critical values:

2x + 2 = 0 => x = -1

x - 3 = 0 => x = 3

Plotting these critical values on a number line and testing intervals, we find that the solution is -1 ≤ x ≤ 3.

For the second inequality, 2x² - 2x + 30 ≤ 0:

This quadratic equation does not have real solutions, so there are no solutions to this inequality.

Combining the solutions from both inequalities, we have -1 ≤ x ≤ 3.

To graph the solution, we plot the interval -1 ≤ x ≤ 3 on the number line. The shaded region on the number line represents the solution set.

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This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.

Elimination of the parameter means to rewrite the equations in terms of only x and y. To do this, substitute t from one equation into the other equation. Here, the two equations are:x = t1/3 and y = t – 4Substitute t from the first equation into the second equation:y = (x^3) – 4Now the equation is in terms of x and y only.

This is the rectangular equation described by the parameter equation x = t1/3 and y = t – 4.The rectangular equation, y = (x^3) – 4 can be plotted on a graph. It is a cubic equation. The graph will look like a curve that passes through the point (0, -4) and continues to move towards infinity. The graph will be symmetric to the origin because the equation involves an odd power of x.

If the equation involved an even power of x, the graph would be symmetric to the y-axis. The graph will never touch the x-axis or y-axis, it will only approach them.In conclusion, the rectangular equation y = (x^3) – 4 is derived from the two parameter equations, x = t1/3 and y = t – 4. The graph of this equation is a cubic curve that is symmetric to the origin. The curve passes through (0, -4) and approaches the x and y-axes but never touches them.

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Answer:

Fourth option: y = 2/5x - 3

Step-by-step explanation:

it is perpendicular :)

Answer:

Your answer y=-5/2x + 6

Mark it as brainlist answer. As soon as possible.

Answer:

n = 18

Step-by-step explanation:

\( \frac{6}{5} = \frac{n}{15} \)

Cross multiply and simplify

\(6 \times 15 = 5 \times n \\ 90 = 5n\)

Divide both sides of the equation by 5

\( \frac{90}{5} = \frac{5n}{5} \)

Simplify : Cross cancel common factor: 5

\(18 = n \\ n = 18\)

Answer:

n=18

Step-by-step explanation:

hope this helps.

plzzz brainliest

Answer:

192

Step-by-step explanation:

1 Pound = 16 Ounces

So 16 (ounces) x 12 (dollars) = 192 (ounces)

16 x 12 = 192

Answer:

  1 1/3 ounces

Step-by-step explanation:

The weight you can purchase is proportional to the amount you want to spend. There are 16 ounces in a pound.

Where x is the quantity you can buy with $1, the proportion is ...

  (16 oz)/($12) = x/$1

  4/3 oz = x . . . . . . . . . multiply by $1. The amount you can buy with $1.

1 1/3 ounces can be bought with $1.

The answer to the statement that the rate of change is 5 is D. No, because y does not change by 5 every time x changes by 1.

To determine if the rate of change of the function is 5, we need to find the difference in y-values divided by the difference in x-values:

Δy / Δx

Let's calculate the rate of change between consecutive points:

From x = -5 to x = -4:

(2 - 1) / (-4 - (-5)) = 1 / 1 = 1

From x = -4 to x = -3:

(3 - 2) / (-3 - (-4)) = 1 / 1 = 1

From x = -3 to x = -2:

(4 - 3) / (-2 - (-3)) = 1 / 1 = 1

From x = -2 to x = -1:

(5 - 4) / (-1 - (-2)) = 1 / 1 = 1

For each consecutive pair of points, the rate of change is 1, not 5.

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Answer:

3 1/2 more miles

Step-by-step explanation:

12- 8 1/2 = 3 1/2

The given vertices to graph LMN and its image after a dilation centered at the origin with scale factor are L(-2, 3), M(0, -1), N(4, 2).

The scale is an instrument used to measure or compare the relative size, quantity, or amount of something. It is a tool used to measure the relative size of an object, or to measure an object's weight. It is also used to measure physical properties such as length, area, volume, and time. A scale can be either analog or digital, and can be used to measure anything from a single item to a large group of items.

The graph of LMN and its image after a dilation centered at the origin with scale factor k = -3 is shown below:

The graph of LMN is shown in blue. The vertices of LMN are (-2, 3), (0, -1), and (4,2).

The graph of its image after a dilation centered at the origin with scale factor k = -3 is shown in red. The vertices of the image are (-6, -9), (0, 3), and (-12, 6).

The dilation with scale factor k = -3 has the effect of flipping the graph of LMN across the origin.

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Answer:

D. 30.96 in²

Step-by-step explanation:

The area of the shaded region = area of the the square - area of the circle

= (s²) - (πr²)

s = 12 in

r = radius of circle = ½ of 12 in = 6 in

π = 3.14

Plug in the values into the equation

Area of the shaded region = (12²) - (3.14*6²)

= 144 - 113.04

= 30.96 in²