A parabola with an equation of the form y=ax^2+bx+c has the point (3, 1) as its vertex. If (1, 3) also lies on this parabola, which of the following is another point on the parabola? A. (2, 6) B. (−3, −1) C. (5, 3) D. (2, 2) E. (−1, −3)

Answer:

2x² + 4x + 1

Step-by-step explanation:

Given the question :

4x^3+18x^2+22x+5 divided by 2x+ 5

Dividend = 4x^3+18x^2+22x+5

Divisor = 2x + 5

In other to ensure question is answered clearly and reasonably, the solution Using long division haa been worked out and attached as a picture

Answer:

y = 1/10 x + 18/5

Step-by-step explanation:

The general form of the equation of a line is given as

y = mx + c where m is the slope and c is the intercept

For a line with given points (x1, y1), the equation is given as

y-y1 = m(x-x1)

Hence if there is a line that includes that point (-6,3) and has a slope of 1/10 then the line

y - 3 = 1/10(x --6)

multiply both sides by 10

10y - 30 = x + 6

Rearrange

10y = x + 6 + 30

10y = x + 36

y = 1/10 x + 36/10

y = 1/10 x + 18/5

Answer:

y=1/2x-7

Step-by-step explanation:

Answer:

-5=1/2(4)+b

-5=2+b

-7=b

Hope this helped!

Answer:

2,065.00

Step-by-step explanation:

Answer:

315

Step-by-step explanation:

To find simple interest you multiply all your numbers together.

But before you do anything you need to convert your interest rate into a decimal (you move the decimal two times to the left or divide it by 100)

Therefore , you will multiply 1750 * .02 * 9

which equals 315

Answer:

3 and 4

Step-by-step explanation:

Answer:

2x+12 simplified is x+4

Answer:

89 seats are not being used

Step-by-step explanation:

You subtract the seats being used by teachers

342 - 75 =267

Change 2/3 into a percentage = 66.6%

Find 66.6% of 267= 177.8 (I rounded up to 178)

Then subtract 177.8/178 from 267 to find the amount of seats not being used.

The amount of seats not being used would come down to 89 seats.

I hope this helps!

Answer:

7.4 percent

Step-by-step explanation:

Convert both measurements to inches.

4 feet 6 inches = 54 inches

4 feet 10 inches = 58 inches

Formula for Percent of Increase:

%

o

f

I

n

c

r

e

a

s

e

=

Difference

Original

⋅

100

58 - 54

54

⋅

100

4

54

⋅

100

7.407407

...

%

or about

7.4

%

Step-by-step explanation:

the the coefficient of y in the above expression is A(1)

Answer:

it is the 4th button choose that one the side v pointing to the right

Step-by-step explanation:

Answer:

-k=9×3

-k=27

God luck friend

Answer:

it would be 9

Step-by-step explanation:

Answer:

roots: 1 and 3

k = 3

Step-by-step explanation:

2 roots: p and p+2

(x-p) (x-p-2) = x² - 4x + k

x² -2px -2x + p² + 2p = x² - 2 (p+1)x + (p² + 2p) = x² -4x + k

-2 (p+1) = -4

p+1 = 2

p = 1   ... root 1

p' = 1+2 = 3   ... root 2

k = p² + 2p = 3

check: (x-1) (x-3) = x² - 4x + 3 = x² - 4x + k

Answer:

9/10

Step-by-step explanation:

To divide by 5/6, invert 5/6, obtaining 6/5, and then multiply:

 3         6

------ *  ----- = 18/20 = 9/10 (same as the 2nd possible answer)

  4        5

Answer:

still need help ?

Step-by-step explanation:

Answer:

C. 7x-9x and -2x

Step-by-step explanation:

Combine like terms and simplify

2x+5x-9x

7x-9x

-2x

Answer: it’s 25 from the height line

Step-by-step explanation:

Answer:

0,25

Step-by-step explanation:

is the answer not 105 cubic feet

Answer:

Step-by-step explanation:

Width: x

Length: x + 3

Height: x + 3 + 4 = x + 7

Volume of prism = area of cross section x length

Area of cross section = width x height = x ( x + 7 ) = x² + 7x

Volume = (x + 4) x (x² + 7x)

= x³ + 7x² + 4x² + 28x

= x³ + 11x² + 28x

The algebraic expression which shows the volume of the prism is [tex]x^{3}+10x^{2} +21x[/tex].

Volume is basically amount of substance a container can hold in its capacity. Volume of rectangular prism is the product of length, breadth and height of prism.

We know that volume of rectangular prism is L*B*H.

We have been given that width is x cm.

According to question length will be x+3,

Height will be x+3+4

=x+7

Volume will be =x(x+3)(x+7)

Multiply the expressions,

=x([tex]x^{2}[/tex]+3x+7x+21)

=x([tex]x^{2}[/tex]+10x+21)

=[tex]x^{3} +10x^{2} +21x[/tex]

Hence volume of rectangular prism can be expressed as [tex]x^{3} +10x^{2} +21x[/tex].

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Answer:

x = 30.5

Step-by-step explanation:

cos(18º) = 29/x

Multiply both sides by x and divide both sides by cos(18º) to get

x = 29/cos(18º)

x = 30.5  

Answer:

Closed circle going right

Step-by-step explanation:

Answer:

6 hours and 25 minutes

Step-by-step explanation:

10:15 to 4:40 = 6 hours and 25 minutes

Answer:

[tex]g= 2[/tex]

Step-by-step explanation:

Given

[tex]Used = 7[/tex]

[tex]Left = 5[/tex]

Required

Determine the additional gallons used (g)

This is calculated as:

[tex]Left+ g= Used[/tex]

So, we have:

[tex]5 + g = 7[/tex]

Make g the subject

[tex]g = 7 - 5[/tex]

[tex]g= 2[/tex]

Answer:

39

Step-by-step explanation:

if you square 15 and 36 you get

225+1296=1521

1521 square rooted is 39

Answer:

39

Step-by-step explanation:

15² +36² =1521

√1521 = 39

If the perimeter of the triangle is 90. Then the value of the variable x will be12.5.

A triangle is a three-sided polygon with three angles. The angles of the triangle add up to 180 degrees.

The sum of all the sides of the triangle will be known as the perimeter of the triangle.

In an isosceles triangle, the two legs of the triangle are congruent and their opposite angles too.

The dimension of the triangle are 3x, 3x, and 15. If the perimeter of the triangle is 90. Then the equation is given as,

3x + 3x + 15 = 90

6x = 90 - 15

6x = 85

x = 12.5

The value of the variable x will be12.5.

More about the triangle link is given below.

https://brainly.com/question/25813512

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Answer:

d=9.6

Step-by-step explanation:

0.2d+3.14=5.06

                - 3.14

_________________

                   1.92

0.2d=1.92

1.92/0.2= 9.6

Answer:

3

Step-by-step explanation: