Answer:
![{x}^{2} + 4x - 30 = - 3x \\{x}^{2} + 7x - 30 = 0 \\ {x}^{2} - 3x + 10x - 30 = 0 \\ x(x - 3) + 10(x - 3) = 0 \\ (x - 3)(x + 10) = 0 \\ \boxed{x = 3} \\ \boxed{x = - 10}](https://tex.z-dn.net/?f=%20%7Bx%7D%5E%7B2%7D%20%20%2B%204x%20-%2030%20%3D%20%20-%203x%20%5C%5C%7Bx%7D%5E%7B2%7D%20%20%2B%207x%20-%2030%20%3D%200%20%5C%5C%20%20%7Bx%7D%5E%7B2%7D%20%20-%203x%20%2B%2010x%20-%2030%20%3D%200%20%5C%5C%20x%28x%20-%203%29%20%2B%2010%28x%20-%203%29%20%3D%200%20%5C%5C%20%28x%20-%203%29%28x%20%2B%2010%29%20%3D%200%20%5C%5C%20%20%5Cboxed%7Bx%20%3D%203%7D%20%5C%5C%20%20%5Cboxed%7Bx%20%3D%20%20-%2010%7D)
<h3>
<em><u>x=3 or x=-10</u></em> is the right answer.</h3>
Answer:
Step-by-step explanation:
Here is a list of possible outcomes.
Penny nickel
Heads heads
Heads tails
tails Heads
tails tails
Since there are four ways the two coins can land, the chances of getting tails - tails is 1 chance in 4.
Answer:
-6-b
Step-by-step explanation:
Answer:
(1,1)
Step-by-step explanation:
Answer:
Caleb’s error was :
instead of selecting the least exponent ,Caleb took the highest exponent.
Step-by-step explanation:
3x² = 3 • x • x
(in this factorization the exponent of 3 is 1 and the exponent of x is 2)
9x = 3 • 3 • x
(in this factorization the exponent of 3 is 2 and the exponent of x is 1)
• The common factors of 3x² and 9x are 3 and x
In order to determine the GCF ,we have to Compare the exponents of the common factors then take the numbers which have the least exponent value.
• in the factorization of 3x² the exponent of 3 is 1
and in the factorization of 9x the exponent of 3 is 2
The least exponent is 1 Then we take it.
• in the factorization of 3x² the exponent of x is 2
and in the factorization of 9x the exponent of x is 1
The least exponent is 1 Then we take it.
<u><em>Conclusion</em></u>:
GCF(3x² , 9x) = 3¹ × x¹ = 3x