The answer is the second option, which is 28x + 8y + 2.
<h2>'
' in the form of 
- b.</h2>
Step-by-step explanation:
We have,
+ 8x + 15
To express + 8x + 15 in the form of - b = ?
∴ + 8x + 15
Adding and subtracting 1, we get
= + 8x + 15 + 1 - 1
= + 8x + 16 - 1
= + 2(x)(4) + 
- 1
Using the algebraic identity,
=
Thus, in the form of - b.
Answer:
1/3(n+1)³
Step-by-step explanation:
1x2+2x3+3x4+4x5+...= 1²+1+2²+2+3²+3+...+n²+n+1=
=(1²+2²+3²+...+n²)+(1+2+3+...+n+1)=
=1/6n(n+1)(2n+1)+1/2(n+1)(1+n+1)=
=1/6(n+1)(n(2n+1)+3(n+2))=
=1/6(n+1)(2n²+4n+2)=
=1/6(n+1)*2(n+1)²=
=1/3(n+1)³
B. (x-5) is a factor.
<u>Step-by-step explanation:</u>
To find out the relationship among the factor and an expression, we have to factorise it as,
2x² - 7x - 15
Here, sum = coeff. of x = -7
Product = constant × coeff of x² = -15 × 2 = -30
Now we have to find 2 numbers, which satisfies the above 2 conditions are -10 and 3.
-10 +3 = -7
-10× 3 = -30
2x² - 7x - 15
= 2x²- 10x + 3x - 15
Taking common terms as,
= 2x(x-5) +3(x - 5)
= (2x+3) (x-5)
So the expression is factorized and (x-5) is one of the factors of the expression.
Answer:
$221.4
Step-by-step explanation:
So there are two ways that you can solve this problem.
1) multiply $369 by 40% (or .4) to get 147.6 and then subtract 369-147.6=$221.4
2) multiply $369 by 60% (or .6) to get $221.4
