Answer:
the answer is B
Step-by-step explanation:
Answer:
1/4
Step-by-step explanation:
The common ratio in a geometric sequence is the number you multiply to previous term to get the term after.
Dividing by a number is the same as multiplying by that 1/number.
So the common ratio here is 1/4.
This is a geometric sequence since you are able to find all the terms in this sequence by multiplying 1/4 to it's previous term.
Examples:
160(1/4)=40
40(1/4)=10
10(1/4)=10/4=2.5
2.5(1/4)=2.5/4=0.625.
Answer:
Step-by-step explanation:
x² + x - 2 = x² - x +2x -2 = x(x - 1) + 2*(x-1) = (x-1)(x+2)
8x² + 4x = 4x ( 2x + 1)
3x² + 10x + 8 = 3x² + 6x + 4x + 4*2 =3x * (x + 2) + 4 * ( x + 2) = (x + 2)(3x + 4)
By finding the proportional relation between x and y, we will see that when x = 16, we have y = 32.
<h3>How to get the value of y when x = 16?</h3>
If y varies directly with x, then we can write the relation as:
y = k*x
Where k is the constant of proportionality.
First, we know that when x = 4, we have y = 8, replacing that we get:
8 = k*4
Solving for k, we get:
k = 8/4 = 2.
Then the relation between x and y is:
y = 2*x
When x = 16, we have:
y = 2*16 = 32
Then the correct option is a.
If you want to learn more about proportional relations:
brainly.com/question/12242745
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Answer:
=m2+6mn+9n2
Step-by-step explanation:
=(m+3n)(m+3n)
=(m)(m)+(m)(3n)+(3n)(m)+(3n)(3n)
=m2+3mn+3mn+9n2