expanding polynomial functions using binomial theorem or pascals triangle

Answer:

50

Step-by-step explanation:

For x number of newspapers, their earnings are:

D = 5 + 0.04x

J = 2 + 0.10x

5 + 0.04x = 2 + 0.10x

3 = 0.06x

x = 50

Shape II was dilated by a scale factor of 1/3 to form shape I. This is  a reduction since the scale factor is less than 1.

Transformation is the movement of a point from its initial location to a new location. Types of transformation are translation, reflection, rotation and dilation.

Shape II was dilated by a scale factor of 1/3 to form shape I. This is  a reduction since the scale factor is less than 1.

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Answer: A dilation will map shape I onto shape II. The bottom left coordinate of shape I is (1, 1) and the bottom left coordinate of shape II is (3, 3). So, to get the corresponding coordinates of shape II, multiply the coordinates of shape I by 3. This is true for every set of coordinates. So, the scale factor is 3. Because the scale factor is 3, which is greater than 1, the dilation is an enlargement.

Answer:

Step-by-step explanation:

18+(-4)= 18 - 4 = 14

-5 + (-18) = - 5 - 18 = - 23  

9 + (-18) = 9 - 18 = - 9  

-18 + 18 = 0

Answer:

the coordinates are -2, -1.

Step-by-step explanation:

Answer:

(-2,-2)

Step-by-step explanation:

[tex]\text{Hello! :)}[/tex]

[tex]\large\boxed{(3x + 4)(x + 8)}[/tex]

[tex]\text{Factor the polynomial:}\\3x^{2} +28x +32\\\\\text{Find two numbers that multiply into 32 and sum up to 28.}\\\text{Take into account the leading coefficient of 3:}\\\\\text{The numbers 4 and 8 work; arrange them so that they sum up to 28:}\\\\(3x + 4)(x + 8)[/tex]

Answer:

a² + b² = 68

a3 + b3 = 520

Step-by-step explanation:

Given :

a + b = 10 (1)

ab = 16 (2)

A. Find a² + b²

(a + b)² = a² + 2ab + b² (3)

Substitutite the values of (1) and (2) into (3)

(10)² = a² + 2(16) + b²

100 = a² + 32 + b²

Subtract 32 from both sides

100 - 32 = a² + b²

a² + b² = 68

B. a^3 + b^3

(a + b)^3 = a^3 + b^3 + 3ab(a + b)

(10)^3 = a^3 + b^3 + 3*16(10)

1000 = a^3 + b^3 + 480

a^3 + b^3 = 1000 - 480

a3 + b3 = 520

Answer:

The y intercept is 4

Answer:

√3

Step-by-step explanation:

(2√3)²+x²=(√15)²

(4*3)+x²=15

12+x²=15

x²=15-12

x²=3

x=√3

Answer:

0.35

Step-by-step explanation:

Step 1:

7/20 = 35/100

Step 2:

35 ÷ 100

Answer:

0.35

Hope This Helps :)

Answer: C

Step-by-step explanation:

The answer is “ Her answer should be 2 miles because there are 5,280 feet in a mile“

(Aka: C/3.)

If you don’t belive me that’s okay, but it’s right, I just finished the pre-unit test . Hope you do good and keep those grades up!!

Comment Done if you read this

Answer:

2x+y=8

x=3 y=2

2x+y=4

x=1.5 y=1

Step-by-step explanation:

I dont have a step by step answer but i hope this helps!

Answer:

[tex]\frac{5}{14}[/tex]

Step-by-step explanation:

It's important to note here that fractions are just another way of representing division.

Therefore, [tex]\frac{\frac{1}{4}}{\frac{7}{10}}[/tex] is the same thing as [tex]\frac{1}{4} \div \frac{7}{10}[/tex].

To divide two fractions, we multiply by the reciprocal.

[tex]\frac{1}{4} \cdot \frac{10}{7}[/tex]

We can now multiply the numerators and denominators.

[tex]1\cdot 10 = 10\\7 \cdot 4 = 28\\\\\frac{10}{28}[/tex]

We can simplify this fraction by dividing both the numerator and denominator by 2.

[tex]10\div 2 = 5\\28 \div 2 = 14[/tex]

So, [tex]\frac{5}{14}[/tex].

Hope this helped!

Answer:

4.727

Step-by-step explanation:

An easy way to think of something being divided by a fraction is by turning the fraction into a decimal. In this case, it's 5 1/2, which is the same as 5.5. So, you can just calculate 26 / 5.5, by hand, or on a calculator, and the answer is 4.727.

Hope this helps!

Hey there!☺

[tex]Answer:\boxed{4\frac{8}{11}}[/tex]

[tex]Explanation:[/tex]

[tex]26/5\frac{1}{2}[/tex]

Divide both fractions.

[tex]26/5\frac{1}{2}=\frac{52}{11}[/tex]

52/11 needs to be simplified so let's simplify it.

[tex]\frac{52}{11}=4\frac{8}{11}[/tex]

[tex]4\frac{8}{11}[/tex] is our final answer.

Hope this helps!

Answer:

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Step-by-step explanation:

Given

x = a - 2by² ( add 2by² to both sides )

x + 2by² = a ( subtract x from both sides )

2by² = a - x ( divide both sides by 2b )

y² = [tex]\frac{a-x}{2b}[/tex] ( take the square root of both sides )

y = ± [tex]\sqrt{\frac{a-x}{2b} }[/tex]

Answer:

[tex]y = a - x \di2b[/tex]

Step-by-step explanation:

[tex]2b {y }^{2} = a - x[/tex]

[tex]2b {y}^{2} \div 2b = a - x \ \div 2b[/tex]

[tex] {y}^{2} = a - x \div 2b[/tex]

[tex]y = \sqrt{a - x \div 2b} [/tex]

The area of the triangular yard is 7000 ft².

The entire area enclosed by three sides of a triangle is the area of it.

Given,

The base of the triangle is 200 feet and the height of the triangle is 70 feet.

Therefore, the area of the triangle

= (1/2) × base of the triangle × height of the triangle =  (1/2) × 200 × 70 ft² = 7000 ft².

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Corinne do 4 pages homework in one hour.

Division method is used to distributing a group of things into equal parts. Division is just opposite of multiplications. For example, dividing 20 by 2 means splitting 20 into 2 equal groups of 10.

We have to given that;

Corinne take 3 hours to do 12 pages of homework.

Since, We have;

Corinne take 3 hours to do 12 pages of homework.

Hence, In 1 hour, Number of pages = 12 / 3

                                                       = 4

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Answer:

6.20

wait what do u mean

Answer:

[tex]x=3[/tex]

Step-by-step explanation:

[tex]3x+5=14[/tex]

Subtract 5 from both sides:

[tex]3x+5-5=14-5[/tex]

[tex]3x=9[/tex]

Divide both sides by 3:

[tex]\frac{3x}{3}=\frac{9}{3}[/tex]

[tex]x=3[/tex]

Answer:

3 and 4

Step-by-step explanation:

Use a calculator:

√15 ≈ 3.87298...

or

since you know √9 = 3 and √16 = 4

and √15 is between √9 and √16 you can say √15 is between 3 and 4

Answer:

.

Step-by-step explanation:

Answer:

y=6x+p

Step-by-step explanation:

Answer:

6p= c bc each pound cost $6 so if u have p pounds, 6p would equal to the cost or c

Answer:

13

Step-by-step explanation:

x-4=9

+4  +4

x=13

Answer:

13

Step-by-step explanation:

Step 1:

x - 4 = 9

Step 2:

x = 9 + 4

Answer:

x = 13

Hope This Helps :)

Answer:

12x-21

Step-by-step explanation:

3/4(16x-27-1)

3/4(16x-28)

12x-21

Answer:

sss

Step-by-step explanation:

sss

4/5

subtract 1/5 from 5/5.

Answer:

4/5

Step-by-step explanation:

if he has a 1/5 of winning, the left over chances he has has to be towards losing because we already know his chance of winning, and there is no in between, so the left over is 4/5

Answer:

-25

Step-by-step explanation:

-9r - 7

-9(2) - 7

-18 - 7

-25

Answer:

2x = 36°

8x = 144°

Step-by-step explanation:

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

then:

2x = 2*18 = 36°

8x = 18*8 = 144°

The value of x from the given diagram is 18. then each angle will be 2x = 36° and 8x = 144°

Linear equation is equation in which each term has at max one degree. Linear equation in variable x and y can be written in the form y = mx + c

Linear equation with two variables, when graphed on cartesian plane with axes of those variables, give a straight line.

Also, the triangle ACD, the sum of the interior angle of the triangle is 180 degrees;

8x + 2x = 180°

10x = 180°

x = 180/10

x = 18

Then:

2x = 2*18 = 36°

8x = 18*8 = 144°

Hence the value of x from the given diagram is 18.

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Answer:

-68 < -63 < -47 < -44 < -34