<span><span> 5n2+10n+20</span> </span>Final result :<span> 5 • (n2 + 2n + 4)
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Reformatting the input :
Changes made to your input should not affect the solution:
(1): "n2" was replaced by "n^2".
Step by step solution :Skip Ad
<span>Step 1 :</span><span>Equation at the end of step 1 :</span><span> (5n2 + 10n) + 20
</span><span>Step 2 :</span><span>Step 3 :</span>Pulling out like terms :
<span> 3.1 </span> Pull out like factors :
<span> 5n2 + 10n + 20</span> = <span> 5 • (n2 + 2n + 4)</span>
Trying to factor by splitting the middle term
<span> 3.2 </span> Factoring <span> n2 + 2n + 4</span>
The first term is, <span> <span>n2</span> </span> its coefficient is <span> 1 </span>.
The middle term is, <span> +2n </span> its coefficient is <span> 2 </span>.
The last term, "the constant", is <span> +4 </span>
Step-1 : Multiply the coefficient of the first term by the constant <span> <span> 1</span> • 4 = 4</span>
Step-2 : Find two factors of 4 whose sum equals the coefficient of the middle term, which is <span> 2 </span>.
<span><span> -4 + -1 = -5</span><span> -2 + -2 = -4</span><span> -1 + -4 = -5</span><span> 1 + 4 = 5</span><span> 2 + 2 = 4</span><span> 4 + 1 = 5</span></span>
Answer:
x > -7
Step-by-step explanation:
Isolate the variable, x. Treat the < sign like an equal sign, what you do to one side, you do to the other. Do the opposite of PEMDAS.
PEMDAS is the order of operation, and stands for:
Parenthesis
Exponents (& roots)
Multiplication
Division
Addition
Subtraction
First, subtract 15 from both sides:
-8x + 15 (-15) < 71 (-15)
-8x < 71 - 15
-8x < 56
Next, divide -8 from both sides of the equation. Note that when you divide by a negative number, you must flip the sign:
(-8x)/-8 < (56)/-8
x < (56)/-8
x > -7
x > -7 is your answer.
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Answer:
1 "The product of two irrational numbers is SOMETIMES irrational." The product of two irrational numbers, in some cases, will be irrational. However, it is possible that some irrational numbers may multiply to form a rational product.
2 The quotient has widespread use throughout mathematics, and is commonly referred to as a fraction or a ratio. For example, when dividing twenty (the dividend) by three (the divisor), the quotient is six and two thirds. In this sense, a quotient is the ratio of a dividend to its divisor.
3 The sum of two irrational numbers, in some cases, will be irrational. However, if the irrational parts of the numbers have a zero sum (cancel each other out), the sum will be rational. "The product of two irrational numbers is SOMETIMES irrational."
Step-by-step explanation:
Non of these is the 2nd diagram.
Corresponding angles are 3rd and 5th diagram.
Alternate internal angles are 4th diagram.
Alternate exterior 1st diagram
Plug each x-value into the equation to get the y-value:
(2,-1)
(0,-2)
