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katen-ka-za [31]
3 years ago
15

A rule for creating a pattern is given below.

Mathematics
1 answer:
Harrizon [31]3 years ago
8 0

Answer:

(Choice B)

Step-by-step explanation:

(7, 0)

7 - 7 = 0

Here, we can see that when 7 is subtracted from x, we get 0 (our y)

Hope this helps!

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Find each product.<br><br> 1. 2x(x^2-6x+3)<br><br> 2. 2a^2(5b^2 + 3ab + 6a + 1)
hoa [83]

Given:

The expressions are:

2x(x^2-6x+3)

2a^2(5b^2+3ab+6a+1)

To find:

The product of each expression.

Solution:

According to the distributive property of multiplication over addition, we get

a(b+c)=ab+ac

The first expression is:

2x(x^2-6x+3)

Using distributive property of multiplication over addition, we get

2x(x^2-6x+3)=(2x)(x^2)+(2x)(-6x)+(2x)(3)

2x(x^2-6x+3)=2x^3-12x^2+6x

Therefore, the product of 2x(x^2-6x+3) is 2x^3-12x^2+6x.

The second expression is:

2a^2(5b^2+3ab+6a+1)

Using distributive property of multiplication over addition, we get

2a^2(5b^2+3ab+6a+1)=(2a^2)(5b^2)+(2a^2)(3ab)+(2a^2)(6a)+(2a^2)(1)

2a^2(5b^2+3ab+6a+1)=10a^2b^2+6a^3b+12a^3+2a^2

Therefore, the product of 2a^2(5b^2+3ab+6a+1) is 10a^2b^2+6a^3b+12a^3+2a^2.

3 0
3 years ago
Two rectangles have the same area. One says x + 3 and x + 1 and the other says x + 6 and x. What is the value of x?
Taya2010 [7]
(x+3)(x+1)=(x+6)(x)
x^2+x+3x+3=x^2+6x
x^2+4x+3=x^2+6x
4x+3=6x
3=2x
x=1.5

Hope this helps :)
4 0
3 years ago
Sharon bought new basketball shoes. If the shoes cost $69.50 and sales tax is 4%, how much did Sharon spend for her new shoes?
Ugo [173]
69.5x.04=2.78
2.78+69.5=72.28
($72.28)
4 0
4 years ago
Solve for the variable: 12 = 5x = 7
IrinaVladis [17]

Hello from MrBillDoesMath!

Answer:  x = 1

Discussion :

Per the author, the equation to solve is  12 = 5x + 7

Isolate the "x" variable by subtracting 7 from both sides of the equation:

12 = 5x + 7

-7 =        -7

---------------------

12-7 = 5x + 0


or


5 = 5x

Dividing both sides by 5 gives x - 1


Regards, MrB

6 0
3 years ago
The measurement of a side of a square is found to be 12 centimeters. Estimate the maximum allowable percent error in measuring t
Marat540 [252]
 <span>If x= side of the square, and A = area of square, then  

A = x^2 

dA/dx = 2x, or 

dA = 2x*dx, where dx is the differential in x (same as error) 


dA/A = 2x*dx/(x^2) = 2*dx/x = 2*(0.05cm)/(15cm) = 0.00667 = 0.667% 

for b): 

if dA/A = 0.025 = 2*dx/x, then 

dx/x=(0.025)/2 = 0.0125 = 1.25 % 

 I hope I helped. :)</span>
3 0
3 years ago
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