Which equation is equivalent to the given equation?
- 3 x² – 12x = 9
3x² + 12x + 9 = 0
3x² - 12x + 9 = 0
3x² + 12x – 9 = 0
3x² - 12x - 9 = 0

Answer:  Weeeell,  35

Step-by-step explanation:

1. By definition, the perimeter of a triangle is the sum of the lenght of each side.

2. Then, the perimeter of the triangle LMK is:

P_{LMK}=14+17+11\\P_{LMK}=42

3. If both triangles are congruent and the scale factor is 5:6 (Which you can rewrite as a fraction: 5/6), you must multiply the perimeter of the triangle   LMK by this scale factor.

4. Then, you have that the perimeter of the triangle GHJ is:

P_{GHJ}=42*\frac{5}{6}=35

What I have to say:

I hope I helped you, and pls mark brainliest. Have a great day BYYYE!!!!!

The set of numbers best describes the possible values of x in the equation is option c. only negative values of x.

Since the equation is

x - 1 = x

So, here the x should be canceled out

So, it should be like

0 = -1

Hence, we can say that

The option c is correct,

And, the rest of the options are incorrect.

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Answer:

$127.32

Step-by-step explanation:

Selling price= $139.99

Sale discount= 15% = $139.99 * 0.15 = $21

Discounted price= $139.99 - $21 = $118.99

Sales tax added= 7% = $118.99 * 0.07 = $8.33

Victoria has to pay = $118.99 + $8.33 = $127.32 so she has enough money to buy it with $2.68 left

Answer:

i think

Desktop: $2900.00,  Laptop: $3200.00

Step-by-step explanation:

Answer:

Part a

First option
Increase from around  $160,000 to around  $245000 about a 53% increase

Part b
The prices increased from $220,000 to $245,000

Part c
The prices decreased from  $245,000 to $215,000 . This is about a 12% decrease (actual value is 12.24%)

Step-by-step explanation:

a. From the graph (or looking at the answer choices) we see that in 1999 the median housing price was $160,000

In 2007, we see that the median housing price was approx $245,000. We can eliminate the second and third choices since in 2007, the median price was definitely greater than $220,000

\(\% \;increase = \dfrac{\$ \;increase }{price \;in \;1999} \times 100\\\\= \dfrac{245,000 - 160,000}{160,000} \times 100\\\\= \dfrac{85,000}{160,000} \times 100\\\\= 0.53125\times 100\\\\= 53.125%\\\\\approx 53 \%\)

Hence the correct answer choice is the first option

Part b

From what I can see of the graph(kinda difficult) the median house price was $220,000 in 2004(the point being halfway between 210,000 and 230,000

The median price in 2007 from the information provided in Part a was $245,000

Increase in median price between 2004 and 2007 is 245,000 - 220,000 = $25,000

As a percentage relative to 2004 price this would be

25,000/220,000 x 100

= 11.36 % which I guess, if you rounded up would be 12%

So I am not a 100% sure on this but this is what I can read from the graph

Answer: The prices increased from $220,000 to $245,000

(c) Price for 2007 from part (a) $245,000

Price for 2009 from graph = $215,000
Price decrease = 215,000 - 245,000 = -30,000 (negative indicating a decrease)

Price decrease from 2007 to 2009 as a percentage of 2007 prices:
30,000/215,000 x 100 = 12.24 %which i guess you can round down to 12% or round up to 13% - again not sure.

Answer should be:
The prices decreased from  $245,000 to $215,000 . This is about a 12% decrease

Answer:

y = (9 x)/10 - 7/5

Step-by-step explanation:

y-y/x-x

1) to obtain the value of x, we must equate AC and BD based on the diagonal properties of a rectangle. Note that a rectangle's diagonal divides it into two congruent right triangles.

A rectangle's diagonals are all the same length. A square is a quadrilateral whose diagonals bisect each other, intersect at right angles, and are congruent.

Thus,

Since BD = AC

2x + 19 = 5x - 2

To solve the equation 2x + 19 = 5x - 2, we need to isolate x on one side of the equation.

First, we can simplify both sides by combining like terms. Subtracting 2x from both sides gives:

19 = 3x - 2

Next, we can isolate x by adding 2 to both sides:

21 = 3x

Finally, we can solve for x by dividing both sides by 3:

x = 7

Therefore, the solution to the equation 2x + 19 = 5x - 2 is x = 7

b) The Properties of Parallel Lines Intersected by a Transverse Postulate states that when a transversal intersects two parallel lines, the corresponding angles are congruent, the alternate interior angles are congruent, and the same-side interior angles are supplementary. This means that

∠LMN + ∠MNK = 180°

Thus,

115 +  ∠MNK = 180

∠MNK = 180 - 115

∠MNK = 65°

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Answer:

A

Step-by-step explanation:

hope this helps

\(\mathfrak{\huge{\orange{\underline{\underline{AnSwEr:-}}}}}\)

Actually Welcome to the Concept of the quadratic equations.

Since, as the question told,

=>

\( \frac{ {x}^{2} }{3} - 3 = 0\)

hence now solving we get as,

\( \frac{ {x}^{2} }{3 } = 3 \)

now, we get as,

\( {x}^{2} = 9\)

now, then

\( \sqrt{ {x}^{2} } = \sqrt{9} \)

so finally, positive value of x is 3

Answer:

S = {(3,p), (3,0), (4,q), (1,4)} is a set of ordered pairs, where the first element of each ordered pair is an integer and the second element is a variable. The set consists of four ordered pairs:

(3,p): The first element is 3 and the second element is p.

(3,0): The first element is 3 and the second element is 0.

(4,q): The first element is 4 and the second element is q.

(1,4): The first element is 1 and the second element is 4.

length= 15cm

width= 7cm

area of the rectangle.

area of rectangle= length × width

a= l × w

a= 15 × 7

= 105 cm^2

Answer:

105 cm²

Step-by-step explanation:

The formula to find the area of a rectangle is :

Area = length × width

Given that,

length ⇒ 15 cm

width ⇒ 7 cm

Let us solve it now.

Area =  length × width

Area = 15 × 7

Area = 105 cm²

Answer:

(a) y intercept is approximately 4.3

(b) \(y = 1.5x+4.5\)

Step-by-step explanation:

Given

See attachment for graph

Solving (a) The y intercept

This is the point where \(x =0\)

From the attached graph; By observation

\(y \approx 4.3\) when \(x =0\)

So, the y intercept is approximately 4.3

Solving (b): The equation of best fit.

First, calculate the slope of the line using:

\(m = \frac{y_2 - y_1}{x_2 - x_1}\)

Where

\((x_1,y_1) = (9,18)\)

\((x_2,y_2) = (8,16.5)\)

So:

\(m = \frac{16.5- 18}{8 - 9}\)

\(m = \frac{-1.5}{- 1}\)

\(m = 1.5\)

The equation is then calculated using:

\(y =m(x - x_1) + y_1\)

Where: \(m = 1.5\) and \((x_1,y_1) = (9,18)\)

\(y = 1.5(x - 9) + 18\)

\(y = 1.5x - 9*1.5 + 18\)

\(y = 1.5x - 13.5 + 18\)

\(y = 1.5x+4.5\)

Answer:

C. 2532

Step-by-step explanation:

120 people out of 200 surveyed is 60%

60% of 4220 people = 2532

hope this helps, brainliest plz

9514 1404 393

Answer:

  F(x) = (9/5)x -459.67

Step-by-step explanation:

F(C(x)) = 9/5(x -273.15) +32

F(C(x)) = (9/5)x -459.67 . . . . . simplify

If the random variable x is normally distributed with a mean equal to 0.45 and a standard deviation equal to 0.40, then P(x ≥ .75) is 0.9227.

A z-score describes the position of a raw score in terms of its distance from the mean when measured in standard deviation units. The z-score is positive if the value lies above the mean and negative if it lies below the mean.

Given the problem above, we need to find what the z-score is when P(x ≥ .75).

The formula for calculating a z-score is given by:

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

Where:

Now,

\(Z=\dfrac{\text{x}-\mu}{\sigma}\)

\(Z=P(\text{x} \geq 0.75) = \huge \text(\dfrac{P(Z \geq (0.75 - 0.45)}{0.40}\huge \text)\)

\(Z= P\huge \text (\dfrac{Z \geq0.30}{0.40}\huge \text)\)

\(Z=P(Z \geq 0.75) = 1 - P(Z < 0.75)\)

\(Z=1 - 0.077337\)

\(Z\thickapprox 0.9227\)

Therefore, the z-score of P(x ≥ .75) is 0.9227.

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Answer: \(5.7\ cm\)

Step-by-step explanation:

Given

Rectangle has an area of \(19.38\ cm^2\)

Suppose rectangle length and width are \(l\) and \(w\)

If each side is increased by \(1.50\ cm\)

Area becomes \(A_2=35.28\ cm^2\)

We can write

\(\Rightarrow lw=19.38\quad \ldots(i)\\\\\Rightarrow (l+1.5)(w+1.5)=35.28\\\Rightarrow lw+1.5(l+w)+1.5^2=35.28\\\text{use (i) for}\ lw\\\Rightarrow 19.38+1.5(l+w)=35.28-2.25\\\Rightarrow l+w=9.1\quad \ldots(ii)\)

Substitute the value of width from (ii) in equation (i)

\(\Rightarrow l(9.1-l)=19.38\\\Rightarrow l^2-9.1l+19.38=0\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{(-9.1)^2-4(1)(19.38)}}{2\times 1}\\\\\Rightarrow l=\dfrac{9.1\pm\sqrt{5.29}}{2}\\\\\Rightarrow l=\dfrac{9.1\pm2.3}{2}\\\\\Rightarrow l=3.4,\ 5.7\)

Width corresponding to these lengths

\(w=5.7,\ 3.4\)

Therfore, we can write the length of the longer side is \(5.7\ cm\)

Answer:

x is greater than or equal to -8

Step-by-step explanation:

multiply by 2 to get the x alone, and you have your answer.

Answer:

Step-by-step explanation:

Answer:

a

Step-by-step explanation:

the data is represented in the dot plot

Answer:

answer is 77.67

Step-by-step explanation:

explain by the x axis is 68 to y axis is 84 so the median is 77.67

A zero has the same meaning as the vertex.

The point where two lines meet forming an angle or set of angles is referred to as a vertex. This can also be called a point of origin especially when considering the axis of a Cartesian coordinate.

The vertex can be taken as zero since it is referred to as the point of origin. This is different to the axis of symmetry; as the axis of symmetry is one that splits a given plotted points i.e. a graph into two equal parts.

Thus, a zero has the same meaning as the vertex.

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The operating activities section of the statement of cash flows for the company using the indirect method showed a net cash used by operating activities of $(4,400).

Net Loss $(16,000)

Adjustments to Reconcile Net Loss to Net Cash Used by Operating Activities:

Depreciation Expense 14,600

Decrease in Accounts Receivable 24,000

Increase in Salaries Payable (18,000)

Decrease in Interest Payable (8,000)

Net Cash Used by Operating Activities $(4,400)

The operating activities section of the statement of cash flows for the company using the indirect method showed a net cash used by operating activities of $(4,400). This was calculated by adjusting the net loss of $(16,000) with depreciation expense, decrease in accounts receivable, increase in salaries payable, and decrease in interest payable.

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The probability that Mrs. Burke selects a non-Mathematical major, given that she chooses randomly from only Sophomores is 51.5%.

Probability refers to the chance or likelihood of an event occurring given many possible events that could have occurred.

Probability is expressed as a quotient of the expected event or success and the total possible events, outcomes, or successes.

The number of Sophomores in Mathematics Majors = 16

The number of Sophomores in Non-Mathematics Majors = 17

The total number of Sophomores in Mrs. Burke's Mathematics Class = 33

The probability of selecting a non-Mathematical major, given that Mrs. Burke chooses randomly from only Sophomores = 51.5% (17 ÷ 33 x 100)

Mrs. Burke's Mathematics Class

Academic Year   Mathematics Majors   Non-Mathematics Majors  Total

Freshmen                          19                             18                                 37

Sophomores                     16                             17                                 33

Juniors                               11                             15                                 26

Seniors                              12                             13                                25

Total                                 58                            63                                121

Thus, the likelihood of choosing a non-Mathematical major from the Sophomores is 51.5%.

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Mrs. Burke's Mathematics Class

Academic Year   Mathematics Majors   Non-Mathematics Majors

Freshmen                          19                             18

Sophomores                     16                             17

Juniors                               11                             15

Seniors                              12                             13

Answer:

7 and 5

Step-by-step explanation:

The present age of Khalil is 7 years and the present age of Angela is 2 years.

Given that, in five years, Angela will be the age that Khalil is now. In three years, Khalil will be twice as old as Angela.

In mathematics, an equation is a formula that expresses the equality of two expressions, by connecting them with the equals sign =.

Let the present age of Khalil be x-5.

In five years:

Khalil's age = x-5+5=x

Angela's age = Khalil's present age

Angela's age = x-5

So, present angle of Angela's age = x-5-5=x-10

In three years:

Khalil's age = x-5+3=x-2

Angela's age =x-10+3=x-7

So, x-2=2(x-7)

⇒ x-2 = 2x-14

⇒ x=12

Khalil's present age = x-5=7 years and Angela's present age = x-10=2 years.

Therefore, the present age of Khalil is 7 years and the present age of Angela is 2 years.

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The expression representing the perimeter of the polygon is given as follows:

7mn³/3 + 4m² + 3mn².

The perimeter of a polygon is given by the sum of all the lengths of the outer edges of the figure, that is, we must find the length of all the edges of the polygon, and then add these lengths to obtain the perimeter.

Hence the perimeter for the polygon in this problem is given as follows:

mn³(1/3 + 2) + m²(1 + 3) + mn²(1 + 2) = 7mn³/3 + 4m² + 3mn².

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Answer:

-0.54

Step-by-step explanation:

Hope it helped.

• • •

Answer:

C. 7°F

Step-by-step explanation:

We can conclude that the hypotheses of the Existence and Uniqueness Theorem are satisfied in any rectangular region in the ty-plane that does not contain the curve t² + y² = -1.

The Existence and Uniqueness Theorem for first-order ordinary differential equations states that if a differential equation of the form y' = f(t, y) satisfies the following conditions in some rectangular region in the ty-plane:

1. f(t, y) is continuous in the region.

2. f(t, y) satisfies a Lipschitz condition in y in the region, i.e., there exists a constant L > 0 such that |f(t, y₁) - f(t, y₂)| ≤ L|y₁ - y₂| for all t and y₁, y₂ in the region.

then there exists a unique solution to the differential equation that passes through any point in the region.

In the case of the differential equation y' = (y cot(2t)) / (t² + y² + 1), we have:

f(t, y) = (y cot(2t)) / (t² + y² + 1)

This function is continuous everywhere except at the points where t² + y² + 1 = 0, which is the curve t² + y² = -1 in the ty-plane. Since this curve is not included in any rectangular region, we can say that f(t, y) is continuous in any rectangular region in the ty-plane.

To check if f(t, y) satisfies a Lipschitz condition in y, we can take the partial derivative of f with respect to y and check if it is bounded in any rectangular region. We have:

∂f/∂y = cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²

Taking the absolute value and simplifying, we get:

|∂f/∂y| = |cot(2t) / (t² + y² + 1) - (2y² cot(2t)) / (t² + y² + 1)²|

= |cot(2t) / (t² + y² + 1)| * |1 - (2y² / (t² + y² + 1)))|

Since 0 ≤ (2y² / (t² + y² + 1)) ≤ 1 for all t and y, we have:

1/2 ≤ |1 - (2y² / (t² + y² + 1)))| ≤ 1

Also, cot(2t) is bounded in any rectangular region that does not contain the points where cot(2t) is undefined (i.e., where t = (k + 1/2)π for some integer k). Therefore, we can find a constant L > 0 such that |∂f/∂y| ≤ L for all t and y in any rectangular region that does not contain the curve t² + y² = -1.

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Answer:

A and B

Step-by-step explanation:

Vertical angles are angles that are opposite of each other on two crossing lines.

They have equal angle measure.

When we look at the image, we can tell that, from the given options:

A. <LRA and <FRA and

B. <TRF and <NRL are vertical angles.