Simplify:

(3x3+5x2−9x−2)−(2x3+3x2−x−3)?

A. x3+8x2−8x+1
B. x3+8x2−10x−5
C. x3+2x2−8x+1
D. x3+2x2−10x+1

Answer:

[tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Step-by-step explanation:

The given quadratic equation is

[tex]x^2=5-x[/tex]

It is can written as

[tex]x^2+x-5=0[/tex]

If a quadratic equation is [tex]ax^2+bx+c=0[/tex], then the quadratic formula is

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

In the given quadratic equation [tex]a=1,b=1,c=-5[/tex]. So,

[tex]x=\dfrac{-1\pm \sqrt{1^2-4(1)(-5)}}{2(1)}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{1+20}}{2}[/tex]

[tex]x=\dfrac{-1\pm \sqrt{21}}{2}[/tex]

[tex]x=\dfrac{-1+\sqrt{21}}{2},\dfrac{-1-\sqrt{21}}{2}[/tex]

Therefore, the values of x are [tex]\dfrac{-1+\sqrt{21}}{2}[/tex] and [tex]\dfrac{-1-\sqrt{21}}{2}[/tex].

Answer:

GIT is congruent to AIN

By rule SAS

Step-by-step explanation:

welp hope this helps

Answer:

Step-by-step explanation:

definitely A

Step-by-step explanation:

Is this the graph you needed??

The dots are the shaded region

Answer:

B. Line c

Step-by-step explanation:

looking at the points, 3, -2 is on line c.

// have a great day //

Answer:

[tex](x+2)(x-3)[/tex]

Step-by-step explanation:

[tex]x^2-x-6[/tex]

[tex]x^2-3x+2x-6[/tex]

[tex]x(x-3)+2(x-3)[/tex]

[tex](x+2)(x-3)[/tex]

Answer:

(x-3) (x+2)

Step-by-step explanation:

I just got the question right on the exam!

Answer:

[tex]-18n^4-2n^3-5n^2+8[/tex]

Step-by-step explanation:

[tex](-9n^4+8)-(9n^4+2n^3+5n^2)= \\\\-9n^4 - 9n^4 + 8-2n^3-5n^2= \\\\-18n^4-2n^3-5n^2+8[/tex]

Hope this helps!

Steps:

Distribute the Negative Sign:

=-9n⁴+8+-1(9n⁴+2n³+5n²

=-9n⁴+8+−1(9n⁴)+−1(2n³)+−1(5n²)

=−9n⁴+8+−9n⁴+−2n³+−5n²

Combine Like Terms:

=−9n⁴+8+−9n⁴+−2n³+−5n²

=(−9n⁴+−9n⁴)+(−2n³+(−5n²)+(8)

=−18n⁴+−2n³+−5n²+8

Description:

The first steps is to distribute the Negative Sign, after you do it your equation will end like =−9n⁴+8+−9n⁴+−2n³+−5n². Second step is to Combine Like Terms/factors. When you do it your equation will end like=−18n⁴+−2n³+−5n²+8. And that will be the answer to simplify.

Answer: =−18n4−2n3−5n2+8

Please mark brainliest

Hope this helps.

Answer:

the 5th number = 62-44 = 18

Step-by-step explanation:

Answer:

Part A: 3x = -15

Part B: 2x+1= 4+1  (x=2)

Step-by-step explanation:

Answer:

a = - 2, b = - 1

Step-by-step explanation:

If a polynomial f(x) is divisible by (x + h) then f(- h) = 0

P(x) is divisible by (x + 1), thus P(- 1) = 0 , that is

P(- 1) = (- 1)³ + a(- 1)² - b + 2 = 0 , that is

- 1 + a - b + 2 = 0

a - b + 1 = 0 ( subtract 1 from both sides )

a - b = - 1 → (1)

P(x) is divisible by (x - 2) thus P(2) = 0 , that is

P(2) = 2³ + a(2)² + 2b + 2 = 0 , that is

8 + 4a + 2b + 2 = 0

4a + 2b + 10 = 0 ( subtract 10 from both sides )

4a + 2b = - 10 → (2)

Solve (1) and (2) simultaneously

Multiply (1) by 2

2a - 2b = - 2 → (3)

Add (2) and (3) term by term eliminating the term in b

6a = - 12 ( divide both sides by 6 )

a = - 2

Substitute a = - 2 into (1) and solve for b

- 2 - b = - 1 ( add 2 to both sides )

- b = 1 ( multiply both sides by - 1 )

b = - 1

Answer:

To find the area of a shape, multiply the sides. Hope this helps! ;)

Answer:

YES!

Step-by-step explanation:

The simplest (and most commonly used) area calculations are for squares and rectangles. To find the area of a rectangle, multiply its height by its width. For a square you only need to find the length of one of the sides (as each side is the same length) and then multiply this by itself to find the area.

Answer:

Step-by-step explanation:

solve for v:  simplifying both sides of the equation, then the variable.

Exact Form:

v= 1/3

Decimal Form:

v=0.3

Answer:

Two eighths

Step-by-step explanation:

Two eighths is one quarter and four eighths is a half. It's easy to split an object, like a cake, into eighths if you make them into quarters and then divide each quarter in half.

Answer:

Distance around the pool = 162.8 feet

Area of the pool = 957 square feet

Step-by-step explanation:

Distance around the swimming pool = Perimeter of the pool

Perimeter of the pool which is a composite figure will be,

= Circumference of the semicircle + Sum of three sides of the pool

= πr + 2×(length of the pool) + width of the pool

= 3.14×(10) + 2×40 + 20

= 62.8 + 80 + 20

= 162.8 ft

Area of the pool = Area of the semicircle + Area of the rectangular pool

                           = [tex]\frac{1}{2}(\pi)(r)^{2}+(\text{length}\times \text{Width})[/tex]

                           = [tex]\frac{1}{2}(3.14)(10)^2+(40\times 20)[/tex]

                           = 157 + 800

                           = 957 square feet

Answer:

35 miles per hour

Step-by-step explanation:

The slope is

m = (y2-y1)/*x2-x1)

   = (280-210)/(8-6)

   = 70/2

    = 35 miles per hour

Answer:

Its c

Step-by-step explanation:

just did the quiz

Answer:csc(x

Step-by-step explanation:You welcome

Answer:

4/5

Step-by-step explanation:

4x-5y=0  

subtract 4x on both the sides  

4x-4x-5y = 0-4x  

-5y = -4x

divide by -5 on both the sides  

-5y/-5 = -4x/-5

y =( 4/5 )x  

Answer:

8

Step-by-step explanation:

Since the area of a kite is half the product of the diagonals:

60=15*x/2

120=15*x

x=120/15=8

Hope this helps!

Step-by-step explanation:

The circumference of a wheel is 0.46π, and we simply have to multiply that by 829 which is 381.34π or 1197.41.

Answer:

see below

Step-by-step explanation:

Find the circumference

C = 2 * pi *r

C = 2(.23) * pi

C = .46pi

Since the wheel rotated 829 times, multiply the circumference by 829

829 * .46 pi

381.34 pi

If  pi = 3.14

1197.4076 meters

If using the pi button

1198.01494 meters

Answer:

C. 1/4 and q=4.

Step-by-step explanation:

I just got it correct on my test.

p=1/4 and q=4 which is correct option(c)

Slope of line is defined as the angle of line.

Let us get the equation of the two graphs

General equation form is;

y = mx + b

m is slope and b is the y-intercept

For the first one;

y intercept is -3

So the equation is;

y = mx -3

The x-intercept is 3/4

the value of y at the x-intercept is 0

0 = 3/4m -3

3/4m =3

m = 4

so, 4 × p

4p

q added to y-intercept;

q -3

Let us get the equation of the second plot

y-intercept is 1

Equation is;

y = mx +1

We can get slope using x-intercept

x-intercept is -1

0 = -1m +1

m = 1

So;

4p = 1

p = 1/4

For the value of q;

q -3 = 1

q = 1+3 = 4

Hence, p=1/4 and q=4

Learn more about Slope of Line here:

brainly.com/question/14511992

#SPJ5

Answer:

All of the angles are 60°, because 180÷3 is 60. so the measure of angle b plus the measure of angle a and angle c is equal to 180°. The measure of angle a + 120° is 180

Answer:

See below

Step-by-step explanation:

a and 120 form a straight line so they add to 180

a + 120 = 180

Subtract 120 from each side

a = 180-120

a = 60

The sum of the angles of a triangle add to 180

b+ a + 60 =180

b + 60 + 60 = 180

b+120 = 180

Subtract 120 from each side

b = 180-120

b = 60

Answer:

it 8

Step-by-step explanation:

4^3 is 64

2^3 is 8

64/8 is 8

Answer:

Simons pace is 2 more miles per hour more than eric's.

Step-by-step explanation:

Answer:

Simon's unit rate is 2 more miles per hour than Eric's unit rate

Step-by-step explanation:      D

Answer:

One fish can be traded for 2 2/3 bags of rice.

Step-by-step explanation:

Key:

F = One fish

L = Loaf of bread

R = Bag of rice

So, with that set we see that:

3F = 2L & L = 4R

2L for 2 x 4 = 8R

So,

3F = 8R OR 3:8 OR 8/3

8/3 = 2 2/3, which is the answer.

it is 300 and 300

and 300

Answer:

its 4

Step-by-step explanation:

Answer:

Initial value is 100

Step-by-step explanation:

A) rate of change would be dividing the number of songs wanted (100) by the number of weeks downloading (5)

100/5 = 20

 since the total quantity wanted is becoming less every week the rate of change would be negative so it becomes -20

Initial value is 100, which is the total number of songs they want

Answer:

Part A: 

initial value = 100 (total amount of songs to download)

rate of change = -20 songs/week (100-80 and so on)

Part B: 

y = -20x + 100