Think about all of the ways in which a circle and a parabola can intersect.
Select all of the number of ways in which a circle and a parabola can intersect.
00
1
2
03
04
05
DONE

Answer:

4

Step-by-step explanation:

4

The possible values of x are:

x = -1/2 + i/2

x = -1/2 - i/2

A basic quadratic equation, or a second-order polynomial equation with a single variable, is represented by the equation x : ax² + bx + c = 0, where a≠0 for the variable x. As it is a second-order polynomial equation, which is ensured by the algebraic fundamental theorem, it must have at least one solution.

To find the possible values of x in equation 8x² + 4x = -1, we need to solve for x.

First, we can rearrange the equation to get:

8x² + 4x + 1 = 0

We can solve this quadratic equation using the quadratic formula:

x = (-b ± √(b² - 4ac)) / 2a

where a, b, and c are the coefficients of the quadratic equation in standard form (ax² + bx + c).

In this case, a = 8, b = 4, and c = 1. Substituting these values into the quadratic formula, we get:

x = (-4 ± √(4² - 4(8)(1))) / 2(8)

x = (-4 ± √(16 - 32)) / 16

x = (-4 ± √(-16)) / 16

x = (-4 ± 4i) / 16

where i is the imaginary unit, which is defined as the square root of -1.

Therefore, the possible values of x are:

x = (-4 + 4i) / 16

x = (-4 - 4i) / 16

These values can also be simplified as:

x = -1/2 + i/2

x = -1/2 - i/2

So the possible values of x are complex numbers, specifically x = -1/2 ± i/2.

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Answer: -6

Step-by-step explanation:

[tex]\frac{-10-2}{2}=\boxed{-6}[/tex]

The Median of the density is -6.

An illustration of a numerical distribution with continuous results is a density curve. A density curve is, in other words, the graph of a continuous distribution. This implies that density curves can represent continuous quantities like time and weight rather than discrete events like rolling a die (which would be discrete). As seen by the bell-shaped "normal distribution," density curves either lie above or on a horizontal line (one of the most common density curves).

It is clearly visible from the uniform density curve given in the question that the median of the population density is  -6.
Because the area to the left and right of the density curve is the same.

Hence, the Median of density is -6.

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The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

The probability = 1/2.

The probability of an event defines the chance of the occurrence of that event. It is given by the ratio of the total number of outcomes favorable to the event to the total number of outcomes in the experiment.

If we suppose an event to be A, the total number of possible outcomes favorable to A be n, and the total number of outcomes in the experiment be S, then the probability of event A can be given as:

P(A) = n/S.

In the question, we are asked to find the formula that defines the probability that a point on the grid will be in the blue area, where the grid contains 20 squares, 10 of them being shaded blue.

We take the event that the chosen point is in the blue area as A.

The total number of outcomes favorable to this event A can be given by n, which will be equal to the number of blue squares = 10

The total number of outcomes in the experiment can be given by S, which will be equal to the number of squares = 20.

Now, the formula for the probability of event A can be written as

P(A) = n/S = 10/20 = 1/2.

The formula that finds the probability that a point on the grid below will be in the blue area is represented by the option:

P (blue) = StartFraction number of blue squares over the total number of squares EndFraction.

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The graph of the function is drawn. The open circle at -1 and 4 for -2x + 3.

The complete question is attached below.

The function that is transformed into the number of pieces is known as piecewise function.

The piecewise function is given below.

[tex]f(x)=\left\{\begin{matrix}3x-5 & x\leq -1 \\\\-2x+3 & -1 < x < 4 \\\\2 & x\geq 4 \\\end{matrix}\right.[/tex]

The graph of the function is drawn.

The open circle at -1 and 4 for -2x + 3.

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Answer:

Step-by-step explanation:

B=CD-A

Answer:

C

C

B

8 abd 9-11

236.4 million

66.9%

The zeros of the given quadratic functions are x₁ = -2.05 and x₂ = 14.61

The complete question is given below:-

Y=-6x²+100x-180 What are the zeroes of the function? Round to the nearest hundredth.

The polynomial having a degree of two or the maximum power of the variable in a polynomial will be 2 is defined as the quadratic equation and it will cut two intercepts on the graph at the x-axis.

Use the quadratic formula to solve it:

Y= -6x² +100x -180

a= -6

b= 100

c= -180

x =[tex]\dfrac{ -b \pm \sqrt{(b^2 - 4ac)} }{ 2a}[/tex]

x =[tex]\dfrac{-100 \pm \sqrt {(10,000 -4*-6*-180)}}{ -12}[/tex]

x1 =[tex]\dfrac{ (-100 + 75.3658 )} { -12}[/tex]

x1 = 24.6342 / -12

x1 = -2.05285

x2 =[tex]\dfrac{ (-100 - 75.3658 )} { -12}[/tex]

x2 = (- 175.3658 ) / -12

x 2 = 14.6138

Therefore the zeros of the given quadratic functions are x₁ = -2.05 and x₂ = 14.61

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Answer:

D..   last one
If soccer balls are sold for $2.05 or $14.61 each, the store will break even but will not make a profit.

Step-by-step explanation:

Answer:

A. 5 feet

Step-by-step explanation:

[tex]\displaystyle\\|\Omega|=\binom{15}{3}=\dfrac{15!}{3!12!}=\dfrac{13\cdot14\cdot15}{2\cdot3}=455[/tex]

a)

[tex]\displaystyle\\|A|=\binom{10}{3}=\dfrac{10!}{3!7!}=\dfrac{8\cdot9\cdot10}{2\cdot3}=120\\\\P(A)=\dfrac{120}{455}=\dfrac{24}{91}\approx26.4\%[/tex]

b)

[tex]\displaystyle\\|A|=\binom{5}{3}=\dfrac{5!}{3!2!}=\dfrac{4\cdot5}{2}=10\\\\P(A)=\dfrac{10}{455}=\dfrac{2}{91}\approx2.2\%[/tex]

c)

[tex]\displaystyle\\|A|=\binom{10}{2}\cdot5=\dfrac{10!}{2!8!}\cdot5=\dfrac{9\cdot10}{2}\cdot5=225\\\\P(A)=\dfrac{225}{455}=\dfrac{45}{91}\approx49.5\%[/tex]

d)

[tex]A[/tex] - at least one is spoilt

[tex]A'[/tex] - none is spoilt

[tex]P(A)=1-P(A')[/tex]

We calculated [tex]P(A')[/tex] in a).

Therefore

[tex]P(A)=1-\dfrac{24}{91}=\dfrac{67}{91}\approx73.6\%[/tex]

Answer:

D

Step-by-step explanation:

5x-2+2x+1

5x+2x+1-2

7x-1

Answer: 1

Step-by-step explanation:

[tex]a-bc=7-2(3)=7-6=\boxed{1}[/tex]

Answer:

  46

Step-by-step explanation:

The geometry can be modeled by a right triangle. The diagonal measure is the hypotenuse, and the height is one leg. The width is the other leg, and can be found using the Pythagorean theorem.

__

The relation between the leg lengths (a, b) and the hypotenuse (c) is ...

  c² = a² +b²

Solving for b gives ...

  b = √(c² -a²)

In this problem, we have c=55 and a=30. Then the width of the TV is ...

  b = √(55² -30²) = √(3025 -900) = √2125

  b ≈ 46.098

The width of the TV is about 46.

Answer:

5/6

Step-by-step explanation:

4/3-1/2

1) make the denominators the same on both fractions

8/6-3/6=?

2) subtract numerators

5/6

3) simplify

cannot simplify

Answer:

5/6

Step-by-step explanation:

4/3  -1/2

The first step is to get a common denominator of 6

4/3 *2/2 = 8/6

1/2 * 3/3 = 3/6

8/6  -3/6

5/6

Answer:

√85 which is approximately 9.2195

Step-by-step explanation:

The equation of the line that passes through the given points is            y= -4x+23.

A line can be represented by a linear function. The standard form for the linear equation is: ax+b , for example, y=2x+7. Where:

a= the slope

b=constant term that represents the y-intercept.

From the stardard form equation:

Solving the system for equations 1 and 2.

3=5a+b

-13=9a+b * (-1)

3=5a+b

13=-9a-b * (-1)

16= -4a

4= -a

a= -4

If a= -4 from equation 1, you have

3= 5 * (-4)+b

3= -20+b

b=23

Therefore, the line equation is y= -4x+23.

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The approximate length of fencing she needs will be 41.42 feet. Then the correct option is D.

It deals with the size of geometry, region, and density of the different forms both 2D and 3D.

Janet is fencing a triangular portion of her yard, which has measurements as shown.

She postulates fencing for the two sides of the yard that do not include the house.

She also requires fencing for the third side of the yard, except for the portion taken up by the house.

Then the approximate length of fencing she needs will be

Let x be the length of fencing.

Then we have

⇒ x + 100 + 100

Then we have

x = c – 100

Then the value of c is given by the Pythagoras theorem. Then we have

c² = 100² + 100²

c² = 10000 + 10000

c² = 20000

c = 141.42 ft

Then the value of x will be

x = 141.42 – 100

x = 41.2 feet ≈ 41 feet

Then we have

⇒ 41 + 100 + 100

⇒ 241

Then the correct option is D.

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Step-by-step explanation:

since there is no other information, we have to assume that the prices for student passes and teacher passes are the same.

therefore, the pass price per person is

$737.38 / (44 + 2) = $737.38 / 46 = $16.03

and the lunch costs per student are

$393.36 / 44 = $8.94

altogether,

$16.03 + $8.94 = $24.97

was spent for each student.

Answer:

  $188.06

Step-by-step explanation:

The total cost for the film will be the sum of film cost, applicable sales tax, and applicable shipping charges. The film cost will be the product of the number of rolls and the cost per roll.

__

  film cost = (18 rolls) × ($9.95 /roll) = $179.10

  sales tax = 0.05 × $179.10 = $8.96

There is no shipping charge associated with the camera shop purchase, so the total cost is ...

  camera shop cost = film cost + sales tax = $179.10 +8.96 = $188.06

__

  film cost = (18 rolls) × ($9.76 /roll) = $175.50

  shipping charge = $15.00

There is no sales tax associated with the mail order, so the total cost is ...

  mail order cost = film cost + shipping charge = $175.50 +$15.00 = $190.50

__

The price from the camera shop is the better of the two prices. The purchase there would cost you $188.06 for 18 rolls of film.

_____

Additional comment

The after-tax charge per roll of film at the camera shop is 9.95×1.05 = 10.4475. This is $0.6975 more than the basic charge per roll from the mail order company. In order to get the shipping charge of $15 to be less than $0.6975 per roll, the number of rolls ordered must be more than 15/0.6975 = 21.5.

An order of 22 rolls of film from the mail order company would cost less than from the camera shop. ($229.50 vs. $229.85)

Answer:

[tex]\boxed{\sf x = \dfrac{1}{21}}[/tex]

Explanation:

[tex]\rightarrow \sf 3x+7-6= \dfrac{8}{7} - 0[/tex]

simplify the following

[tex]\rightarrow \sf 3x+1= \dfrac{8}{7}[/tex]

subtract 1 from both sides

[tex]\rightarrow \sf 3x+ 1 -1= \dfrac{8}{7} - 1[/tex]

simplify the following

[tex]\rightarrow \sf 3x= \dfrac{1}{7}[/tex]

multiply both sides by 1/3

[tex]\rightarrow \sf 3x \cdot \dfrac{1}{3}= \dfrac{1}{7}\cdot \dfrac{1}{3}[/tex]

simplify the following

[tex]\rightarrow \sf x = \dfrac{1}{21}[/tex]

[tex]3x + 7 - 6 = \frac{8}{7} - 0 \\ \\ 3x + 1 = \frac{8}{7} \\ \\ 3x = \frac{8}{7} - 1 \\ \\ 3x = \frac{ 8 - 7}{7} \\ \\ 3x = \frac{1}{7} \\ \\ x = \frac{1}{7 \times 3} \\ \\ x = \frac{1}{21} .[/tex]

Answer:

1/2*b*h

1/2*18*14

1*9*14

126

a. 17 x 10 = 170

b. 24 x 100 = 2400

c. 6 x 1000 = 6000

The product of variables in inverse proportion is constant, so the equation is [tex]\boxed{xy=-3}[/tex]

Answer:The value of m for the given equation is, 35

Step-by-step explanation:

Given an equation:  https://tex.z-dn.net/?f=x%5E%7B3m%7D%3D(x%5E%7B65%7D)*(x%5E%7B40%7D)

Use the above property on  RHS in equation [1];

Since the base are same i.e, x ; we can add the exponents.

or

Using:  , then a=b.

Therefore, 3m=105.

Divide 3 on both sides of an equation:

Simplify:

m=35

Therefore, the valur of m is, 35.

Answer:

how many times does 4.2 go into 14.7

1. 4.2

2. 8.4

3. 12.6

14.7-12.6=2.1 or one half of 4.2

3.5

Hope This Helps!!!

Answer:

11 is best answer for it ....,..........

Answer:

10

Step-by-step explanation:

Answer: c

Step-by-step explanation:

Answer:

C. Lines with congruent alternate interior angles are parallel.

Answer:

-3/2, -1

Step-by-step explanation:

Each coordinate contains one [tex]x[/tex] value and one [tex]y[/tex] value, [tex](x,y)[/tex].

If we work out the midpoint of each of these individually, it makes it much easier to find the midpoint of the line.

Let's take the [tex]x[/tex] values first. Our first  [tex]x[/tex] value is -4 and our second [tex]x[/tex] value is 1. Imagine the integers between -4 and 1 laid out in a sequence:

[tex]-4, -3, -2, -1, 0, 1[/tex]

If you take the middle value of this sequence, you get the midpoint of the [tex]x[/tex] values.

In this case, the middle is between values -2 and -1, leaving us with a midpoint of -1.5. This as a fraction is [tex]-\frac{3}{2}[/tex].

Now let's look at the [tex]y[/tex] values. Our first [tex]y[/tex] value is 2 and our second [tex]y[/tex] value is -4. Again, let's imagine those numbers laid out in a sequence:

[tex]2, 1, 0, -1, -2, -3, -4[/tex]

Here, the middle of these values is -1, and this is the midpoint of the [tex]y[/tex] values.

So if we put these two values in a coordinate, we get the midpoint of the line.

In this case, we get [tex](-\frac{3}{2} ,-1)[/tex].

Answer:

uhm where is x1 and y1?

Step-by-step explanation:

Y – y1 = m (x – x1)

[tex]\Large\maltese\underline{\textsf{Our problem:}}[/tex]

Write the equation of the line in P.S. form given the information below.

[tex]\Large\maltese\underline{\textsf{This problem has been solved!}}[/tex]

We cannot write an equation in Point-Slope Form, without knowing the Point-Slope Equation. [tex]\bf{y-y1=m(x-x1)}[/tex].

Now, all that we need to do is plug in the information given, that is

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{y-(-3)=-\dfrac{1}{5}(x-0)}[/tex]

[tex]\triangledown[/tex]

[tex]\bf y+3=-\dfrac{1}{5}(x-0)}[/tex]

[tex]\rule{300}{1.7}[/tex]

[tex]\bf{y+3=-\dfrac{1}{5}(x-0).\;Hope\;the\;rest\;of\;your\;day\;is\;going\;to\;be\;fun!}[/tex]

[tex]\rule{300}{1.7}[/tex]

~[tex]\boxed{\bf{aesthetic \not101}}[/tex]~