Prove this polynomial identity

Answer:

2 x 2=4 on each side so 4 x 2=8

5 x 2=10

10 x 4=40

Step-by-step explanation:

Answer:

y = (x - 2)² + 9

Step-by-step explanation:

To obtain the equation in vertex form use the method of completing the square.

Add/ subtract ( half the coefficient of the x- term)² to x² - 4x

y = x² + 2(- 2)x + 4 - 4 + 13

  = (x - 2)² + 9 ← in vertex form

Answer:

vertex form : y=(x-2)^2+9

Step-by-step explanation:

To convert a parabola from standard form y=x^2-4x+13 to vertex form, we complete the square.

first, complete the square using the x-terms, use the constant term to adjust and make a perfect square.

y=  x^2-4x+4   +  9

Factor the first three terms on the right-hand side.

y=(x-2)^2 + 9

the resulting express is then the vertex form, which means that

the vertex is at (x-2) = 0, x=2, and at y=9.  

Answer:

B

Step-by-step explanation:

For the given situation, system of equations is represented by

3x + 4y = 4.25

5x + 2y = 4.75

"A system of equations is a finite set of equations for which we find the common solution."

According to question,

x represents number of apples

y represents number of oranges.

Two situations are given for which we need to find out which system of equations it represents.

Situation 1 : Thomas paid $4.25 for the three apples and four oranges , which can be represented by equation:

3x + 4y = 4.25

Situation 2: Casey paid $4.75 for five apples and two oranges, which can be represented by equation:

5x + 2y = 4.75

Hence we can conclude that Option B is correct.

Learn more about system of equations here

https://brainly.com/question/23291897

#SPJ2

Answer:

Exponential

Step-by-step explanation:

So lets look at the table.

When x = 1, y = 3

When x = 2, y = 9.

Hmmm, this doenst seem like x+number=y. It doesnt seem like a quadratic, where the values go up, then down, then up again. Or vise versa.

So this rules out linear and quadratic, for the x doesnt change by a constant, or change the direction of y.

This leaves exponential or none of the above.

When x = 3, y = 27

When x = 4, y = 81

This seems like a exponent, since:

3 to the first power is 3

3 to the second power is 9

3 to the third power is 27

and 3 to the fourth power is 81

Answer:

exponential function

Hope this helps! ;)

Answer:

74

Step-by-step explanation:

To receive an award, student must obtain a score at or above the upper quartile, from.tye boxplot, the upper quartile is depicted by the endpoint of the box. Hence, the upper quartile of the distribution is 74. Hence only stude Ts who score 74 and above will receive an award Hence, the minimum score required is 74.

Answer:

An exponential has the base at the bottom, or the lower portion. Think of "basement" to help remember this. The exponent is the number up top, so 12 is the exponent

therefore, the correct answer is 11

Answer:

The answer is B. 11

Step-by-step explanation:

11 is the base. 12 is the exponent. Hence why if it is worded, it is "11 to the power of 12"

Answer:

c: 8   i'm sure

Step-by-step explanation:

Because we count where the line stops is 8 squares which means it's 8

Answer:

72

Step-by-step explanation:

It’s just the answer my teacher gave it to me lol

Answer:

[tex]20.25\pi\:\mathrm{m^2}[/tex]

Step-by-step explanation:

Formulas to know:

Since we know the circumference, we can use formula for the circumference of a circle to find the circle's radius:

[tex]9\pi=2r\pi,\\9=2r,\\r=4.5[/tex]

Now we can plug in [tex]r=4.5[/tex] into the formula for an area of a circle:

[tex]A=4.5^2\pi=\boxed{20.25\pi\:\mathrm{m^2}}[/tex]

Answer:

20.25 pi

Step-by-step explanation:

The circumference of a circle is given by

C = 2 * pi *r

9 pi = 2 * pi *r

Divide each side by 2pi

9pi / 2 pi = 2 pi r / 2 pi

4.5 = r

Now we can find area

A = pi r^2

   = pi ( 4.5)^2

     20.25 pi

Answer:

g00gle

Step-by-step explanation:

click new tab and type in 21/24 x 16/24

Answer:

Step-by-step explanation:

Answer:

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Step-by-step explanation:

Let

Number of hours = h

Equation to calculate the cost of cleaning your house

Klean company = 20 + 25h

Dustbuster cleaning services = 35h

Find the number of hours when the cost of cleaning house by both companies will be equal

Klean company = Dustbuster cleaning services

20 + 25h = 35h

20 = 35h - 25h

20 = 10h

h = 20/10

h = 2 hours

Number of hours = h = 2 hours

Answer:

r = 10.5

Step-by-step explanation:

using the Pythagorean theorem:

(7 + r)² = 14² + r²

49 + 14r + r² = 196 + r²

subtract r² from both sides of the equation:

14r + 49 = 196

subtract 49 from both sides:

14r  = 147

divide both sides by 14:

r = 10.5

Answer:

187/40

Step-by-step explanation:

have a nice day!

The fraction for 4.675 is 187/40 or 4 27/40

Answer: 63 pounds

Step-by-step explanation:

Given

Royce's weight is 3 pounds more than twice ted's weight

The weight of ted is 30 pounds

So, the weight of Royce is [tex]2\times 30+3[/tex] pounds i.e. [tex]63[/tex] pounds

Suppose, if the weight of Ted is x then, the weight of Royce is [tex]2x+3[/tex]

Answer:

x=10

Step-by-step explanation:

1. Combine like terms

4x=40

2. Divide 4 both sides to x alone

4x/4=40/4

x=10

Answer:

10

Step-by-step explanation:

x+3x=40

4x=40

x=40/4=10

Answer:

A) 19

Step-by-step explanation:

prime number: Any whole number which is greater than 1 and has only two factors that is 1 and the number itself

A) 19 => 1 × 19 correct

B) 26 => 1 × 26, 2 × 13 incorrect

C) 48 => 1 × 48, 2 × 24, 3 × 16, 4 × 12, 6 × 8  incorrect

D) 52 => 1 × 52, 2 × 26, 4 × 13 incorrect

Answer:

I can see black screen no photo for answering.

Answer:

You can pay your personal and business taxes to the Canada Revenue Agency (CRA) through your financial institution's online banking app or website. Most financial institutions also let you set up a payment to be made on a future date.

Step-by-step explanation:

step by step

Answer:

Step-by-step explanation:

150000 +11000++43000+20+40=204,060

Answer:

108.173

Step-by-step explanation:

Answer:

12.55

Step-by-step explanation:

Add them so its 12.55

Answer:12.55

Step-by-step explanation:

All you have to do is add 0.25 +12.3

to get 12.55

hope this helps!

Answer:

0.05 im pretty sure to my calcutor

Step-by-step explanation:

Answer:

After 6 weeks the sunflower would be 43 inches tall. After w weeks, the sunflower would be 25 + 3w tall.

Complete question :

The dimensions of a right rectangular prism are 1.5 cm, 0.5 cm and 2. 25 cm.

What is the volume of the prism?

A. 0.75 cm

B. 1.6875 cm

C. 3.375 cm

D. 4.25 cm

Answer:

1.6875 cm³

Step-by-step explanation:

Given the dimension :

1.5 cm by 0.5 cm by 2.25 cm

The volume of a rectangular prism is given by :

Volume = Length * width * height

Volume, V = 1.5cm * 0.5cm * 2.25cm

Volume of prism = 1.6875 cm³

Hence, the volume of the rectangular prism is 1.6875 cm³

Answer:

144° is the correct answer

sumpplement (angles that adds up to 180°)

: 180°-36°=144°

Step-by-step explanation:

here's your solution

==> Both traingle are congruent

==> BC = BD. [ c.p.c.t ]

==> x + 8 = 3x - 14

==> x - 3x = - 14 - 8

==> - 2x = - 22

==> x = 22/2

==> x = 11

now CB = x + 8 = 11 + 8

CB = 19

hope it helps

Answer:

c

Step-by-step explanation:

cvvvbbnh

Answer:

Go to algebraic calculator

Step-by-step explanation:

Then go to Microsoft calculator it has everything

brainliest?