Simplify these rational expression. x^4+5x^3-2x^2+1/x^2+1

Answer:

2. Isosceles triangle

3. Isosceles triangle

4. Isosceles triangle

5. Equilateral triangle

6. Scalene triangle or Isosceles triangle

Step-by-step explanation:

Answer:

2) Isosceles triangle

3) Scalene Triangle

4) Scalene Triangle

5)  Equilateral Triangle

6) Isosceles triangle

Step-by-step explanation:

the image should help you

Answer:

23 marbles

Step-by-step explanation:

Number of children = 10

Number of marbles = 180

Since Betsy gets the most and no 2 children gets the same number of marbles

The least number of marbles Betsy could get will be x ; with the other 9 children receiving 1 less each

That is :

Betsy = x

9th child = x - 1

8th child = x - 2,... 1st child = x - 9

Hence,

(x + x - 1 + x - 2 + x - 3 + x - 4 + x - 5 + x - 6 + x - 7 + x - 8 + x - 9) = 180

10x - 45 = 180

10x = 180 + 45

x = 225 / 10

x = 22.5

x = 23

Hence, the least Betsy could get is 23 marbles

Answer:

1. Look at the screenshot below.

2. If a line intersects a parabola at a point, the coordinates of the intersection point must satisfy the equation of the line and the equation of the parabola.

Since the equation of the line is y = c, where c is a constant, the y-coordinate of the intersection point must be c.

It follows then that substituting c for y in the equation for the parabola will result in another true equation: c = −x^2 + 5x.

Subtracting c from both sides of c = −x^2 + 5x and then dividing both sides by −1 yields 0 = x^2 − 5x + c.

The solution to this quadratic equation would give the x-coordinate(s) of the point(s) of intersection.

Since it’s given that the line and parabola intersect at exactly one point, the equation 0 = x^2 − 5x + c has exactly one solution.

A quadratic equation in the form 0 = ax^2 + bx + c has exactly one solution when its discriminant b 2 − 4ac is equal to 0. In the equation 0 = x^2 − 5x + c, a = 1, b = −5, and c = c.

Therefore, (−5)^2 − 4(1)(c ) = 0, or 25 − 4c = 0.

Subtracting 25 from both sides of 25 − 4c = 0 and then dividing both sides by −4 yields c = 25/4 .

Therefore, if the line y = c intersects the parabola defined by y = −x^2 + 5x at exactly one point, then c = 25/4 .

Either 25/4 or 6.25

Answer:

200.000 because it's lower than 250

Step-by-step explanation:

pls give brainly

Answer:

226.67 is the answer

Answer:

ASA (Angle-Side-Angle) Congruency Postulate

Step-by-step explanation:

In ΔCDE & ΔABF ,

∴ ΔCDE ≅ ΔABF by ASA congruency postulate.

Answer:

84[hope this helps!]

Step-by-step explanation:

Answer:

84

Step-by-step explanation:

.8×100=80

4+80=84

q=84

Answer:

84ft

Step-by-step explanation:

The formula to find the area of a parallelogram is b x h.

The base is 14ft and the height is 6ft. Multiply these together.

14 x 6 = 84ft

Answer:

7

Step-by-step explanation:

To evaluate, substitute x = 2 into f(x), that is

f(2)= 2(2)² - 1 = 2(4) - 1 = 8 - 1 = 7

Answer:

[tex]-2[/tex]

Step-by-step explanation:

When [tex]C=-2[/tex], the variable [tex]x[/tex] will be removed from the equation ([tex]2x-2x=0[/tex]). Therefore, we are left with [tex]-16\neq 16[/tex]. Thus, when [tex]C=-2[/tex], the given equation has no solutions.

Step-by-step explanation:

You have to do first and second derivatives :

y = a sin 3x + b cos 3x

dy/dx = 3a cos 3x - 3b sin 3x

d²y/dx² = - 9a sin 3x - 9b cos 3x

Next, you have to compare it :

let d²y/dx² = ky,

-9a sin 3x - 9b cos 3x = k(a sin 3x + b cos 3x)

-9(a sin 3x + b cos 3x) = k(a sin 3x + b cos 3x)

Therefore, k is equals to 9.

Answer:

  A, B, C, F, G

Step-by-step explanation:

The above-listed properties are inherited from a parallelogram. The properties not inherited from a parallelogram are ...

  D (diagonals are angle bisectors) is inherited from a rhombus

  E (congruent diagonals) is inherited from a rectangle

  H (perpendicular diagonals) is inherited from a rhombus

Answer:

8

Step-by-step explanation:

7 = 2

× 4

28 = 8

hope this helps...

Answer:

x intercept: -13/2

y intercept: 26

Step-by-step explanation:

x intercept of the line is the point where y = 0

Substitute y = 0 into the expression;

0 - 6 = 4(X+5)

-6 = 4x + 20

4x = -6-20

4x = -26

x = -26/4

x = -13/2

y intercept is the point where x = 0

y - 6 = 4(0+5)

y-6 = 20

y = 20+6

y = 26

Answer:

15.51

Step-by-step explanation:

Answer:

15.51

Step-by-step explanation:

The calculator is $49.50.

The radio is $114.99.

First, we add them together.

49.50+114.99 = 164.49

that is the total cost of both the radio and calculator.

Next, we subrtact  180.00-164.49= 15.51.

Answer:

-64

Step-by-step explanation:

If i'm not mistaken and this is times then it is just

-32 times 2

which is -64.

-

Have a wonderful day and best of luck!

Answer:

x ≥ -7

Step-by-step explanation:

Divide both sides by 6

Then to graph it, you can make a number line

Answer:

Step-by-step explanation:

Solve 6x ≥ − 42for x by dividing both sides by 6.  We get:

x ≥ − 7

Now draw a vertical line (solid) through x = -7.

Finally, shade the area including and to the right of x = -7.

Given:

The equation is

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

To find:

The solution of the given equation.

Solution:

We have,

[tex]\dfrac{5}{6}h+\dfrac{6}{7}h-\dfrac{9}{14}h=4[/tex]

It can be written as

[tex]\left(\dfrac{5}{6}+\dfrac{6}{7}-\dfrac{9}{14}\right)h=4[/tex]

[tex]\left(\dfrac{35+36-27}{42}\right)h=4[/tex]

[tex]\left(\dfrac{44}{42}\right)h=4[/tex]

[tex]\dfrac{22}{21}h=4[/tex]

Multiply both sides by 21.

[tex]22h=84[/tex]

Divide both sides by 22.

[tex]h=\dfrac{84}{22}[/tex]

[tex]h=\dfrac{42}{11}[/tex]

Therefore, the solution of the given equation is [tex]h=\dfrac{42}{11}[/tex].

Answer:

nine is a number added to four

Answer:

nine is a number added to four

Answer:

Vertical

Step-by-step explanation:

There are opposite of each other, making them the same angle

Answer:

60 sides

Step-by-step explanation:

The formula for the sum of the interior angles of a polygon with n sides is 180(n -2). The problem also tells you that each angle is 174, so the sum of the interior angles would also be 174n.

Then, you get the equation

180(n - 2) = 174n

180n - 360 = 174n

6n = 360

n = 60 sides.

Answer:

Def. D

Step-by-step explanation: Hope this helps!!!

Answer:

Step-by-step explanation:

13:6

Another way to write this is 13/ or 13: or 13 to 6.

Step-by-step explanation: Here is my work:

It pretty sloppy but as long as it helps you!

Answer:

14 1/3 feet

Step-by-step explanation:

let 's' = shortest side

let '4s + 1' = longest side

let '3 + s' = middle side

s + 4s + 1 + 3 + s = 24

6s + 4 = 24

6s = 20

s = 20/6 or 3 1/3

longest side: 4 · 10 + 1

                             3

= 40/3 + 1

= 13/ 1/3 + 1

= 14 1/3

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green

Answer:

The correct answer is where red goes to orange.Blue goes to green and yellow goes to green:

Answer:

433

Step-by-step explanation:

i hope i helped<3

Answer:

19. 4(x-4)

20. 6(3k+7)

21. prime

22. 4(5m-2n)

23. 14p-14= 14(p-1)

24. 35+5r= 5(7+r)

25. 10x - 14y= 2(5x- 7y)

Step-by-step explanation:

19.4(x-4)

20. 6*3k + 7*6

6(3k+7)

22. 2*5m - 2 * 4n

2(5m - 4n)

23. 9p + 5p -6-8

14p - 14