For a group trip, a travel agency charges $300 per person. Write an expression to show the cost of a group trip for p people.

Answer:C

Step-by-step explanation:

The polynomial can be factored using the binomial theorem is

1,000x³  – 2,100x² + 1,470x – 343.

Assertion that the sum of the nth power of the product of two positive integers a and b may be written as the sum of the n + 1 terms of the form for any positive integer n.

If a and b are real numbers and n is a positive integer, then

[tex](a + b)^n =^nC_0 a_n + ^nC_1 a_{n-1} b_1 + ^nC_2 a_{n-2} b_2 + ... 1.[/tex]

Given:

Using Binomial we can write

(a+ b)³ = a³ + b³ + 3a²b + 3ab²

and, (a+ b)² = a² + 2ab + b²

So, 100x²+ 70x + 49 and 100x² + 210x + 49 cannot be factors using Binomial Theorem because the correct expansion would be

(10x+ 7)² = 100x² + 140x + 49

and, 1,000x³  – 2,100x² + 1,470x – 343 can be factored using Binomial theorem.

As, (10x - 7)³ = 1000x³ -2100x² + 1470x - 343.

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Answer:

C.

Step-by-step explanation:

if four people dont want it and there are 14 people total, then it would be (14-4). The photos cost $3 so it would be 3(14-4)=$30

Answer:

C

Step-by-step explanation:

from 14 friends you have to take away the 4 that do not want a photo

(14- 4 ) is the number of kids Charlie will have to pay for

and will pay $3 for each (14-4) kids

3(14-4)  is the cost

3(14-4) = 3*10 = is $30

Answer:

the flagpole is 33 feet high.

Step-by-step explanation:

Brainliest please :)

Answer:

2

−

6

=

−

1

0

Step-by-step explanation:

Answer: −6+2x=−10

Step 1: Simplify both sides of the equation.

2x−6=−10

Step 2: Add 6 to both sides.

2x−6+6=−10+6

2x=−4

Step 3: Divide both sides by 2.

2x

2=−4

2

x=−2

Answer:

x=−2

Step-by-step explanation:

Answer:

A laptop uses between 50 and 100 W/hour when it is being used, depending on the model. A laptop that is on for eight hours a day uses between 150 and 300 kWh and emits between 44 and 88 kg of CO2 per year. In stand-by mode the power consumption of both a desktop and a laptop falls to about a third.

Step-by-step explanation:

Answer:

C

Step-by-step explanation:

I hope that is right. Hope I helped

Answer:

- 2 ft/ s

Step-by-step explanation:

The rate of change is the slope m of the line.

Calculate m using the slope formula

m = [tex]\frac{y_{2}-y_{1} }{x_{2}-x_{1} }[/tex]

with (x₁, y₁ ) = (0, 80) and (x₂, y₂ ) = (40, 0) ← 2 points on the line

m = [tex]\frac{0-80}{40-0}[/tex] = [tex]\frac{-80}{40}[/tex] = - 2

Rate of change is - 2 ft/ s

Answer:

160 cm^2/s

Step-by-step explanation:

Just took the test.

Answer:

160cm^2

Step-by-step explanation:

answer from plato

Answer:

C200

Step-by-step explanation:

21 goes into 43 2 times. Because of place value, it really means 200.

21 x 200= 4200

Answer:

c is the answer

Step-by-step explanation:

because 4200 divided by 21 is 200

hope this helps

Answer:

94.21 gigabytes

Step-by-step explanation:

add 49.71 to 44.5 to get 94.21

Answer:

If we are talking about cent's it would be 11 inches of wire

if we are talking about the wire, then 33in would be equivalent to 66 cents

Step-by-step explanation:

im not sure about the second one but the first answer is correct. Please give brainliest by the way

Answer:

11 inches

Step-by-step explanation:

45 divided by 15 = 3

33 divided by 3 = 11

Answer: C

Step-by-step explanation:

Answer:

145

Step-by-step explanation:

12x12=144 and the closest number to 144 is 145

Answer:

63 cupcakes

Step-by-step explanation:

Answer:

132

Step-by-step explanation:2 x 2 x 3 x 11

Given:

A right angled triangle.

To find:

The value of x.

Solution:

We have,

Base = x

Hypotenuse = [tex]\sqrt{5}[/tex]

In a right angle triangle,

[tex]\cos \theta = \dfrac{Base}{Hypotenuse}[/tex]

For the given triangle,

[tex]\cos 45^\circ= \dfrac{x}{\sqrt{5}}[/tex]

[tex]\dfrac{1}{\sqrt{2}}= \dfrac{x}{\sqrt{5}}[/tex]

Multiply both sides by [tex]\sqrt{5}[/tex].

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{5}}{\sqrt{2}}\times \dfrac{\sqrt{2}}{\sqrt{2}}= x[/tex]

[tex]\dfrac{\sqrt{10}}{2}= x[/tex]

Therefore, the required value of x is [tex]\dfrac{\sqrt{10}}{2}[/tex].

Answer:

Option a

Step-by-step explanation:

It is made up of only rational numbers

Answer:

y= -x + 6 :) hope this helped you

Answer:

y = 4x + 23

Step-by-step explanation:

[tex]y-y_{1}=m(x-x_{1} )\\y-3=4(x-(-5))\\y-3=4(x+5)\\y-3=4x+20\\y=4x+23[/tex]

The equation of the line is required.

The equation of the line is [tex]y=4x+23[/tex]

[tex]m[/tex] = Slope of line = 4

Point = [tex](-5,3)[/tex]

[tex]x_1=-5[/tex]

[tex]y_1=3[/tex]

Equation of a line is given by

[tex]y-y_1=m(x-x_1)\\\Rightarrow y-3=4(x-(-5))\\\Rightarrow y-3=4x+20\\\Rightarrow y=4x+20+3\\\Rightarrow y=4x+23[/tex]

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Answer:

479001600

Step-by-step explanation:

You will want to use 12!.

12*11*10*9*8*7*6*5*4*3*2*1=

479001600

Answer: .074 continuing

Answer:

6/1

Step-by-step explanation:

Hope this helps:)

Answer:

Answer:

it is 6

Step-by-step explanation:

sorry!

Answer:

There are 3 terms

Step-by-step explanation:

The terms are 2x, -9y, and 17w

The length of RS is 55 unit.

The addition axiom states that when two equal quantities are added to two more equal quantities, their sums are equal. Thus, if a = b and y = z, then a + y = b + z.

We have, ST = 15 and RT = 40

Then RS can be get by adding the value ST + RT.

Apply Axiom of addition

then, RS

= RT + ST

= 40 + 15

= 55 unit.

thus, the length of RS is 55 unit.

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