Using long division to solve this SHOWING WORK: (-10n-26n^2+n^4-25) / (n+5)

Answer:

The answer is C: (-9,1) and (5,1). took the test. Good luck!

Step-by-step explanation:

The coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1), so option C is correct.

A formula known as an equation uses the equals sign to denote the equality of two expressions.

Given equation:

(x + 2)² / 49 + (y - 1)² / 25 = 1

The above equation can be simplified as,

(x + 2)² / 7² + (y - 1)² / 5² = 1

The left side has to be equal to 1, the (x + 2)² / 7² the term has to be equivalent to 1, and the term (y - 1)² / 5² to be equivalent to zero

(y - 1)² / 5² = 0, y - 1 = 0, y = 1

(x + 2)² / 7² = 1

(x + 2)² = 49

(x + 2) = ±7

x = +7 - 2 = 5

x = -7 - 2 = -9

Therefore, the coordinates of the vertices that lie on the major axis of the conic section can be written as (5,1) and (-9,1).

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Answer:

(a). Music and dance.

(b). Three students.

(c). Hong, Ryan, Lena and Mai

Step-by-step explanation:

a) Hong is not a member of i. music and Dance

b) 2 students which is Eric and Omar

c). Mai , Hong,Ryan and lena

Answer:

i need more info

Step-by-step explanation:

9514 1404 393

Answer:

  5 hours

Step-by-step explanation:

The volume of the pool is ...

  V = LWH

  V = (10 ft)(8 ft)(5 ft) = 400 ft^3

At the given fill rate, the time it will take is ...

  (400 ft^3)/(80 ft^3/h) = 5 h

It will take 5 hours for the pump to fill the pool.

Answer:

Im pretty sure the answer is 5 hours

Step-by-step explanation:

The capacity of swimming pool is

v = 10 ⋅ 8 ⋅ 5 = 400 cubic feet

The pump fills 80 cubic feet in 1 hour

Therefore, the pump will fill

400 cubic feet in 5 hours.

Answer:

[tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex]

Step-by-step explanation:

24 kernels in 10 minutes

In 1 minute she can eat [tex]\dfrac{24}{10}=\dfrac{12}{5}\ \text{kernels}[/tex]

let [tex]x[/tex] be the number of popcorn and minutes so the rate of eating popcorn is of the form

[tex]\dfrac{x12}{x5}[/tex]

So, when [tex]x = 6[/tex] we get

[tex]\dfrac{6\times12}{6\times 5}=\dfrac{72\ \text{kernels}}{30\ \text{minutes}}[/tex]

[tex]x[/tex] can be any real number

[tex]\dfrac{10\times 12}{10\times 5}=\dfrac{120\ \text{kernels}}{50\ \text{minutes}}[/tex]

[tex]\dfrac{8\times 12}{8\times 5}=\dfrac{96\ \text{kernels}}{40\ \text{minutes}}[/tex]

Other two ratios can be [tex]\dfrac{96}{40}[/tex] and [tex]\dfrac{120}{50}[/tex].

Answer:

+ + 1

Explanation:

B+A = A+B

1+() = <1

Answer:

(-1, 7)

Step-by-step explanation:

From the graph attached,

There are two lines representing the system of linear equations.

Solution of two linear equations is represented by a common point or point of intersection on the graph.

Point of intersection of the linear system of equations given in the graph → (-1, 7)

Therefore, solution of the linear system is (-1, 7).

Answer:

Please check the explanation.

Step-by-step explanation:

Rebecca's ERROR

Rebecca wrongly used the formula to calculate the average rate of change from x = -1 to x = 3.

She should have used the correct formula to calculate the average rate of change from x = -1 to x = 3 which is:

Average rate = [f(3) - f(-1)] / [3 - (-1)]

But, she reversed the formula.

The correct solution

Considering the graph

[tex]f\left(x\right)=2^x+1[/tex]

Rebecca wants to find the average rate of change from x = -1 to x = 3.

so

at x₁ = -1

[tex]f\left(-1\right)\:=\:2^{-1}+1=\frac{1}{2}+1=\frac{3}{2}[/tex]

at x₂ = 3

[tex]f\left(3\right)\:=\:2^3+1=8+1=9[/tex]

Using the formula, we can determine the average rate of change from x = -1 to x = 3

Average rate = [f(3) - f(-1)] / [ x₂ - x₁]

                      [tex]=\:\frac{\left[9\:-\:\frac{3}{2}\right]}{\left[3-\left(-1\right)\right]}[/tex]

                      [tex]=\frac{\frac{15}{2}}{4}[/tex]

                      [tex]=\frac{15}{8}[/tex]

Therefore, the average rate of change from x = -1 to x = 3 will be:

Average rate = 15/8

Answer:

c

Step-by-step explanation:

The greatest possible whole-number length of the unknown side among the option is 9 inches.

Obtuse triangle is a triangle that has one of it internal angle greater than 90 degrees.

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

If the sides of the triangles are x, y and z. Therefore,

x + y > z

x + z > y

y + z > x

Therefore, the greatest possible length among the option is 9.

Proof

12 + 14 > 9

12 + 9 > 14

14 + 9 > 12

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Given:

Hyperbola with directrices at y = ±2 and foci at (0, 6) and (0, −6).

To find:

The equation of hyperbola.

Solution:

We have, directrices at y = ±2 so this hyparabola is along the y-axis.

The standard form of hyperbola is

[tex]\dfrac{(y-k)^2}{a^2}-\dfrac{(x-h)^2}{b^2}=1[/tex]      ...(i)

where, (h,k) is center, foci are [tex](h,k\pm c)[/tex] and directrix are [tex]y=k\pm \dfrac{a^2}{c}[/tex].

On comparing foci, we get

[tex](h,k\pm c)=(0,\pm 6)[/tex]

[tex]h=0,k=0,c=6[/tex]

On comparing directrix we get

[tex]k\pm \dfrac{a^2}{c}=\pm 2[/tex]

[tex]\dfrac{a^2}{c}=2[/tex]

[tex]\dfrac{a^2}{6}=2[/tex]

[tex]a^2=12[/tex]

Now,

[tex]a^2+b^2=c^2[/tex]

[tex]12+b^2=(6)^2[/tex]

[tex]b^2=36-12[/tex]

[tex]b^2=24[/tex]

Putting [tex]h=0,k=0,a^2=12,b^2=24[/tex], we get

[tex]\dfrac{(y-0)^2}{12}-\dfrac{(x-0)^2}{24}=1[/tex]

[tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex]

Therefore, the equation of hyperbola is [tex]\dfrac{y^2}{12}-\dfrac{x^2}{24}=1[/tex].

Answer:

the person above has the right answer. I took the test.

Step-by-step explanation:

The person above is correct.

Answer:

  [tex]\frac{x^3+y^3+z^3}{3} =0[/tex]

Step-by-step explanation:

From the question we are told that

mean of three numbers is zero

Generally mean refers to average of number

Let

x, y, z be the three numbers with a mean of zero

T the mean of there cubes

Mathematically the mean of these three numbers is given as

     [tex]\frac{x+y+z}{3} =0[/tex]

     [tex]x+y+z =0[/tex]

and there cubes

     [tex]\frac{x^3+y^3+z^3}{3} =T[/tex]

     [tex]x^3+y^3+z^3=3T[/tex]

Mathematically solving the above equations by substitution method

 [tex]x+y+z =0......1[/tex]

 [tex]x^3+y^3+z^3=3T ......2[/tex]

 [tex]x=-y-z ...3[/tex]

equating 3 in 2

   [tex]-y^3-z^3+y^3+z^3=3T ..... 4\\3T=0[/tex]

    [tex]T=0[/tex]

Therefore the mean of the cubes of the three number is 0

     [tex]\frac{x^3+y^3+z^3}{3} =0[/tex]

Answer:

28

Step-by-step explanation:

hope this helps

Answer:

28

Step-by-step explanation:

70% is equal to 70/100. "of" when used in math means multiplaication.

so we do 70/100 x 40

we can simplify 70/100 to get 7/10.

now we multiply:

7/10 x 40 = 28

Answer:

the answer would be 50 on each side

Step-by-step explanation:

since this shape is an isosceles triangle, the angles on the right and left side would be equivalent! 180-80=100/2=50

Answer:

The letter that represents the y-intercept is B!

Step-by-step explanation:

It indicates point of intersection between the y-axis and the line.

Hope this helps you alot! Also can you give me a Brainliest?

PLEASE!!!

Step-by-step explanation:

2/5 of marbles are blue

= 3/5 of marble are not blue.

Number of non-blue marbles = 500 * (3/5) = 300.

300 marbles are not blue.

Answer:

12

Step-by-step explanation:

she has 3 brothers times 4 toys.

Answer:

12 toys

Step-by-step explanation:

She needs to buy 4 toys for 3 people. This means (4) + (4) + (4). This can be written as 4 * 3. This is equal to 12. Therefore, she needs to buy a total of 12 gifts.

Answer: [tex]2\dfrac13\text{ miles per hour}[/tex]

Step-by-step explanation:

Given: Distance traveled by Smith = [tex]\dfrac23[/tex] mile.

Time taken = [tex]\dfrac27[/tex]  hour

Unit rate in miles per hour = ( Distance traveled by Smith) ÷ (Time taken)

[tex]=\dfrac23\div\dfrac27[/tex]

[tex]\\\\=\dfrac23\times\dfrac72\\\\=\dfrac73\\\\=2\dfrac13\text{ miles per hour}[/tex]

Unit rate  = [tex]2\dfrac13\text{ miles per hour}[/tex]

Answer:

b=  =64 /3   =0.046875

Step-by-step explanation:

Answer:

Step-by-step explanation:

Answer:

This be soooo hard ;w;

Step-by-step explanation:

.w.

Answer:

I wish I knew the answer to this, I asked my grandmother too, she also doesn't know sorry

Answer:

20 painters are painting the inside

Step-by-step explanation:

Answer:

=3/4/1/20 miles per hr. =15 miles per hr.

Step-by-step explanation:

Speed equals distance and time

Answer:

A

Step-by-step explanation:

We can see there are 2 parts of this function: one line for x<1 (because there is a circle for x=1, meaning it disincludes it) and one line for x >= 1 (because there is a filled circle for x=1, meaning it includes it). Therefore, we can disregard choice B (because it has x <= 1 and x > 1 instead of x<1 and x>= 1).

Notice that the part that x<1 passes through the origin, meaning the y-intercept is 0. In y= mx + b form of a line, b is the y-intercept, so b = 0 and we are looking for something in the form of y = mx for x < 1. Wee see that only in choice A that this is satisfied. Therefore, the answer is A.

I hope this helps! :)

Answer:

Step-by-step explanation:

Note: Please note that you missed adding the option points. So, I am solving the entire function to determine the points and the vertex which would anyways clear your concept.

Answer:

The vertex is located at (3, 7)

some of the points will make the table such as:

x       0           1           2          3          4

y      -2          3           6           7          6

The graph is attached below.

Step-by-step explanation:

Given the table

[tex]y\:=\:6x-2-x^2[/tex]

The given equation is of the form quadratic function y = ax² + bx + c. Thus, it represents the Parabola.

We know that the vertex would be the highest point on the Parabola graph if the graph (Parabola) opens down.

Thus, the given Parabola has the vertex point at the highest point of the Parabola as shown in the attached figure.

Finding the Vertex:

y = -x² + 6x - 2

comparing with y = ax² + bx + c

a = -1, b = 6, c = -2

Finding the x-coordinate of the Vertex

x = -b / 2a

x = [-6] /[2(-1)]

x = [-6 ] / [-2]

x = 6/2

x = 3

Thus, the x-coordinate of the vertex : x = 3

Now substituting x = 3 in the equation y = -x² + 6x - 2 to determine the y-coordinate of the vertex

y = -x² + 6x - 2

y = -(3)²+6(3)-2

y = -9 + 18 - 2

y = 18 - 11

y = 7

Thus, the y-coordinate of the vertex : y = 7

Therefore, the vertex is located at (3, 7)

Now, finding some other points lie on the Parabola

y = -x² + 6x - 2

Putting x = 0 in the main function

y = -(0)² + 6(0) - 2

y = 0 + 0 - 2

y = -2

Thus, the y-intercept lies on (0, -2)

Putting x = 1 in the main function

y = -x² + 6x - 2

y = -(1)² + 6(1) - 2

y = -1 + 6 - 2

y = 3

Thus, the point (1, 3) lies on the Parabola

Putting x = 2 in the main function

y = -x² + 6x - 2

y = -(2)² + 6(2) - 2

y = -4 + 12 - 2

y = 6

Thus, the point (2, 6) lies on the Parabola

Putting x = 3 in the main function

y = -x² + 6x - 2

y = -(3)² + 6(3) - 2

y = -9 + 18 - 2

y = 7

Thus, the point (2, 7) lies on the Parabola

Putting x = 4 in the main function

y = -x² + 6x - 2

y = -(4)² + 6(4) - 2

y = -16 + 24 - 2

y = 6

Thus, the point (4, 6) lies on the Parabola

Hence, some of the points will make the table such as:

x       0           1           2          3          4

y      -2          3           6           7          6

The graph is attached below.

Answer:

monke

Step-by-step explanation:

monkey

I think its the first and last one. But I could be completely wrong.

Answer:

size of angle A is 93.19°

Answer:

D. 0.80

Step-by-step explanation:

P(A or B) = P(A) + P(B)

P(A or B) = 0.60 + 0.20

P(A or B) = 0.80

The probability of P(A or B ) is 0.80.

The correct option is D.

Since A and B are mutually exclusive events, they cannot occur simultaneously.

Thus, the probability of A or B occurring is equal to the sum of their individual probabilities:

P(A or B) = P(A) + P(B)

Therefore, we need to subtract the probability of the intersection of A and B:

P(A and B) = 0 (since A and B are mutually exclusive)

Thus, we have:

P(A or B) = P(A) + P(B) - P(A and B)

Substitute all the given values to the equation,

we get,

= 0.60 + 0.20 - 0

= 0.80

Therefore, the probability of A or B occurring is 0.80 or 80%.

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