PLEASE HELP ME ASAPP if can of not then just leave it

The quadratic function with the solutions given in the problem is defined as follows:

x² + 3x + 3 = 0.

The standard definition of a quadratic function is given as follows:

y = ax² + bx + c.

The solutions are given as follows:

\(x = \frac{-b \pm \sqrt{b^2 - 4ac}}{2a}\)

Comparing the standard solution to the solution given in this problem, the parameters a and b are given as follows:

The coefficient c is then obtained as follows:

b² - 4ac = -3.

9 - 4c = -3

4c = 12

c = 3.

Hence the function is:

x² + 3x + 3 = 0.

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Answer:

a

Step-by-step explanation:

when reflected by x-axis, the x stays the same but the y turns negative.

Answer:

RATIONAL

Step-by-step explanation:

The probability of randomly picking a school or library-related issue from the ballot is 9/19 or approximately 0.474 (rounded to three decimal places).

To determine the probability of a randomly picked issue being school or library related, you'll need to consider the total number of issues and the number of school and library issues combined.

There are 7 school-related issues, 10 ordinance-related issues, and 2 library-related issues, making a total of 19 issues on the ballot. To find the probability of picking a school or library issue, combine the number of school and library issues: 7 + 2 = 9.

Now, divide the number of school and library issues (9) by the total number of issues (19): 9/19.

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Answer:

di KO kaya sorry kahit ako dipa KO talks dyan

The measure of the two line segments are 36 and 27.

We have,

The secant and tangent rule on a circle.

DC is the tangent and ABC is the secant.

Then,

DC² = (AB + BC) x BC

Now,

Substituting.

(4x + 11)² = (27 + 5x - 11) x (5x - 11)

To solve the given equation (4x + 11)² = (27 + 5x - 11) x (5x - 11) for x, we will expand both sides of the equation and then simplify:

Expanding the left side:

(4x + 11)² = (4x + 11)(4x + 11) = 16x² + 44x + 44x + 121 = 16x² + 88x + 121

Expanding the right side:

(27 + 5x - 11) x (5x - 11) = (16 + 5x)(5x - 11) = 80x² - 176x + 75x - 165 = 80x² - 101x - 165

Setting the left and right sides equal to each other:

16x² + 88x + 121 = 80x² - 101x - 165

Rearranging the equation:

0 = 80x² - 16x² - 101x - 88x - 165 - 121

0 = 64x² - 189x - 286

Now, we have a quadratic equation.

We can solve it by factoring, completing the square, or using the quadratic formula.

Let's use the quadratic formula to find the solutions for x:

x = (-b ± √(b² - 4ac)) / (2a)

In our case, a = 64, b = -189, and c = -286.

Substituting these values into the quadratic formula:

x = (-(-189) ± √((-189)² - 4(64)(-286))) / (2(64))

x = (189 ± √(35721 + 73216)) / 128

x = (189 ± √108937) / 128

Since the discriminant (b² - 4ac) is positive, we have two distinct real solutions. Evaluating the square root:

x = (189 ± 329) / 128

We have two possible solutions for x:

x₁ = (189 + 329) / 128 = 518 / 128 = 4.047 = 4

x₂ = (189 - 329) / 128 = -140 / 128 = -1.094 (rejected)

Now,

The line segments are:

AC = 27 + 5x - 11 = 27 + 5 x 4 - 11 = 27 + 20 - 11 = 36

CD = 4x + 11 = 4 x 4 + 11 = 16 + 11 = 27

Thus,

The measure of the two line segments are 36 and 27.

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Step-by-step explanation:

13. 15² = 12² + ?²

225 - 144 = ?²

? = √81

? = 9 feet

16. D. Regular Hexagon

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

Let A represent the number of students reading Accountancy, S represent the number of students reading Sociology, and F represent the number of students reading French.

Let X be the number of students reading all three.

From the information given:

A ∩ S = 19

A + S - 27 = 120 - 53 + 19 = 86 (number of students reading Accountancy or Sociology but not French)

S - A - X = 27

S + F - X = 53

F - X = 19

A - X = 86 - 19 = 67

Total = A + S + F - (A ∩ S) - (A ∩ F) - (S ∩ F) + X = 120

Solving, we get X = 6, A = 73, S = 52, F = 25.

(1) 6 students read all three courses.

(II) 37 students read only one course.

(III) 77 students read exactly two courses.

(IV) 73 students read Accountancy irrespective of Sociology or French.

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The only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given Range is θ ≈ 19.47 degrees.

a) We are given the equation 8 tan θ = 3 cos θ.

Dividing both sides of the equation by cos θ, we have:

8 tan θ / cos θ = 3

Using the identity tan θ = sin θ / cos θ, we can substitute it into the equation:

8 (sin θ / cos θ) / cos θ = 3

Simplifying further, we get:

8 sin θ / cos^2 θ = 3

Now, multiplying both sides of the equation by cos^2 θ, we have:

8 sin θ = 3 cos^2 θ

Using the identity cos^2 θ = 1 - sin^2 θ, we can substitute it into the equation:

8 sin θ = 3(1 - sin^2 θ)

Expanding the equation, we get:

8 sin θ = 3 - 3 sin^2 θ

Rearranging the terms, we have:

3 sin^2 θ + 8 sin θ - 3 = 0

Therefore, we have successfully shown that the equation can be rewritten in the form 3 sin^2 θ + 8 sin θ - 3 = 0.

b) Now, let's solve the equation 3 sin^2 θ + 8 sin θ - 3 = 0.

To solve the quadratic equation, we can use factoring, quadratic formula, or other appropriate methods.

In this case, the equation factors as:

(3 sin θ - 1)(sin θ + 3) = 0

Setting each factor equal to zero, we have two equations:

3 sin θ - 1 = 0    or    sin θ + 3 = 0

For the first equation, solving for sin θ, we get:

3 sin θ = 1

sin θ = 1/3

Taking the inverse sine (sin^-1) of both sides, we find:

θ = sin^-1(1/3) ≈ 19.47 degrees (to 2 decimal places)

For the second equation, solving for sin θ, we have:

sin θ = -3

Since the range of sine is between -1 and 1, there are no solutions for this equation in the given range (0 ≤ θ ≤ 90 degrees).

Therefore, the only solution for the equation 8 tan^2 θ = 3 cos^2 θ in the given range is θ ≈ 19.47 degrees.

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Answer:

Solution

=

−

3

7

7

Step-by-step explanation:

I got that answer right on ed2020

Answer:

- Banking Operations salary in India with less than 1 year of experience to 10 years ranges from ₹ 1.4 Lakhs to ₹ 7 Lakhs with an average annual salary of ₹ 3.1 Lakhs based on 261 latest salaries

The given points are (-1,-1) and (-3,-2)

The slope is given by the formula:

So it follows:

The slope is 1/2 or 0.5.

Answer:

y = 8

Step-by-step explanation:

3y = 24

3y ÷ 3 = 24 ÷ 3

y = 8

Answer:

\( \frac{ \sqrt{5x} }{5x} \)

Step-by-step explanation:

\( \frac{1}{ \sqrt{x5} } \)

\( = \frac{1}{ \sqrt{5x} } \)

\( = \frac{1}{ \sqrt{5x} } \times \frac{ \sqrt{5x} }{ \sqrt{5x} } \)

\( = \frac{1 \sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } \)

\( = \frac{\sqrt{5x} }{ \sqrt{5x \sqrt{5x} } } \)

\( = \frac{ \sqrt{5x} }{5x} \)

The area of the shaded region is 3915 units².

We have,

Area of the sector.

= 13.08 units²

Now,

To find the area of an isosceles triangle with side lengths 5, 5, and 4 units, we can use Heron's formula.

Area = √[s(s - a)(s - b)(s - c)]

where s is the semi-perimeter of the triangle, calculated as:

s = (a + b + c) / 2

In this case,

The side lengths are a = 5, b = 5, and c = 4. Let's calculate the area step by step:

Calculate the semi-perimeter:

s = (5 + 5 + 4) / 2 = 14 / 2 = 7 units

Use Heron's formula to find the area:

Area = √[7(7 - 5)(7 - 5)(7 - 4)]

= √[7(2)(2)(3)]

= √[84]

≈ 9.165 units (rounded to three decimal places)

Now,

Area of the shaded region.

= Area of the sector - Area of the isosceles triangle

= 13.08 - 9.165

= 3.915 units²

Thus,

The area of the shaded region is 3915 units².

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Answer:

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Step-by-step explanation:

We can use the trigonometric identity:

cos 2a = 1 - 2 sin^2 a

to rewrite 1 + 2cos a as:

1 + 2cos a = 1 + 2(1 - sin^2 a/2)

= 1 + 2 - 2(sin^2 a/2)

= 3 - 2(sin^2 a/2)

Now, using another trigonometric identity:

sin a = 2 sin(a/2) cos(a/2)

we can rewrite sin^2 a/2 as:

sin^2 a/2 = (1 - cos a)/2

Substituting this into the expression for 1 + 2cos a, we get:

1 + 2cos a = 3 - 2((1 - cos a)/2)

= 3 - (1 - cos a)

= 2 + cos a

Therefore, 1 + 2cos a can be expressed as the product of 2 and (cos a/2 + 1).

1 + 2cos a = 2(cos a/2 + 1)

Answer:

Step-by-step explanation:

1) f(-4) --> if x < or equal to 3

2) 1/(-4)-4

3) The answer is - 1/8

polynomial function for  x = 4, - 1 & 2. are

 \(x^{3}\) - \(x^{2}\) - 10x - 8

Given data :

Given the zeroes (roots) of a polynomial are:  4, - 1 & 2.

Here, we are given three roots of the polynomial. That means, the polynomial must be of third degree.

Also, (x - a) is a factor of the polynomial if and only if x = a is a root of the polynomial.

Here, 4, - 1 & 2. are roots. So, the factors are: ( x - 4 ) ( x + 1 ) ( x - 2 )

Multiplying them will result in the polynomial.

= ( x - 4 ) ( x + 1 ) ( x - 2 )

= ( \(x^{2}\) - 3x - 4 ) ( x + 2 )

=  Distribute parentheses : \(x^{2}\) . x + \(x^{2}\) . 2 - 3xx - 3x . 2 - 4x - 4 . 2

= Simplify \(x^{2}\) .x - \(x^{2}\) . 2 - 3xx - 3x . 2 - 4x - 4 . 2

=  \(x^{3}\) - \(x^{2}\) - 10x - 8

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The wrist circumference in relation to height tells us how big our body frames are.

The wrist circumference in relation to height tells us how big our body frames are. A man who is above 5' 5" tall and with a wrist measurement of 6" would be considered to have tiny bones.

The following chart can be used to establish whether a person has tiny, medium, or large bones by measuring their wrist with a measuring tape and comparing the results.

Women:

under 5'2" in height"

Medium wrist size is between5.5" and5.75" Small wrist size is less than5.5" "

Large is defined as a wrist size of 5.75 or greater."

between 5'2" and 5'5" tall

smaller than 6 inches around the wrist"

Bracelet size 6 is medium "Medium = wrist size between 6.25" and 6.5" Large

Over 5' 5" in height"

Small wrists measure less than 6.25", Medium wrists measure 6.25" to 6.5," and Large wrists measure over 6.5."

Example :

2(x + 3 ) + 2 (x + 4 ) = (x + 3 )( x + 4)

x² + 7x + 12 = 4x + 14

x² + 3x - 2 = 0

(x + 3 / 2 )² = 17 / 4.

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Answer:

7.4 < h

Step-by-step explanation:

89 < 12h

Divided both sides by 12

7.4 < h

The answer is:

Work/explanation:

The objective of this problem is to isolate the variable. So in the inequality \(\bf{89 < 12h}\), we should isolate h.

So I divide each side by 12

\(\bf{7.417 < h}\)

Answer:

B.

Step-by-step explanation:

Judging by the picture, it appears that you are correct. The pattern seems to go as follows:

1. Blue (with one line)

2. Red (with two lines)

3. Blue (with three lines)

This means that your final step should be red with four lines, and we can eliminate D as there is no sign that the line should branch off that way (based on the pattern that we already have). Hope this helps and please let me know if you still need help!

A numerical expression is a mathematical statement that only consists of numbers and one or more operation symbols.

3.724x10^-12 = 3724/1000000000000000.

3.724x10^-12 = 3.724/ 10^12

= 3.724/ 1000000000000

=3724/1000000000000000 (numerical form)

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Answer:

12/4 = L/8

Step-by-step explanation:

.......................

Answer:

(4,0)

Step-by-step explanation:

You basically are plotting a point on the positive number 4 on the x line. Since they're only asking for an X and not a Y, you'd leave it as (4,0). Hope this helps!

According to the information, we can infer that the equation expressed by the parable symmetry axis is x = −b2a.

The symmetry axis of a parable is a term that refers to a vertical line that divides the parable into two congruent halves. The axis of symmetry always passes through the vertex of the parable.

To find the symmetry axis of this parable we must perform the following procedure taking into account the following information:

Additionally, we must compare the equation with y = ax2+bx+c to find the values of a, b, and c. Then these values would be like this:

According to the above, we can replace these values to solve the equation of axis of symmetry. then, the graph of a quadratic equation in the form Y = Ax2+Bx+C has ss its axis of symmetry the line X = −B2a.

Note: This Question is incomplete. Here is the complete information:

Attached Image

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The expression that is always equivalent to sin x when 0° < x < 90° is (1) cos (90° - x). Option 1

To understand why, let's analyze the trigonometric functions involved. In a right triangle, the sine of an angle is defined as the ratio of the length of the side opposite the angle to the length of the hypotenuse. Since we are considering angles between 0° and 90°, we can guarantee that the side opposite the angle will always be the shortest side of the triangle, and the hypotenuse will be the longest side.

Now let's examine the expression cos (90° - x). The cosine of an angle is defined as the ratio of the length of the side adjacent to the angle to the length of the hypotenuse. In a right triangle, when we subtract an angle x from 90°, we are left with the complementary angle to x. This means that the remaining angle in the triangle is 90° - x.

Since the side adjacent to the angle 90° - x is the same as the side opposite the angle x, and the hypotenuse is the same, the ratio of the adjacent side to the hypotenuse remains the same. Therefore, cos (90° - x) is equivalent to sin x for angles between 0° and 90°.

On the other hand, options (2) cos (45° - x) and (3) cos (2x) do not always yield the same value as sin x for all angles between 0° and 90°. The expression cos x (option 4) is equivalent to sin (90° - x), not sin x.

Option 1 is correct.

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Based on the information, the value of the function given will be C. 0

A derivative is a mathematical concept that represents the rate of change of a function with respect to its input variable. In other words, it measures how the function's output value changes as the input value changes.

The derivative of a function f(x), often denoted as f'(x) or dy/dx, is defined as the limit of the ratio of the change in the function's output (Δy) to the change in the input (Δx) as the interval between the two points approaches zero:

f'(x) = lim(Δx→0) [f(x + Δx) - f(x)] / Δx

The derivative of f(x)= 1/2x is f'x = -In(2) /2x

At x = 0 this will be 0.

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Answer:

1/6th chance

Step-by-step explanation:

Since there are 6 possible outcomes that will be the denominator, now count the number you want to roll, in this case 1 since you only want to find the probably of getting a 3. So the probably is 1/6

Answer:

7/4

Step-by-step explanation:

rise over run

7 up, 4 right

3x + 120° + x + 120° = 360°

4x + 240° = 360°

4x = 120°

x = 30°

y = 1/2 (3x - x)

y = 1/2 (90° - 30°)

y = 1/2 × 60°

y = 30°