Step-by-step explanation: Binomials are the sums of two terms (the sum two monomials). Therefore those with two terms being added are considered binomials.

5 0

4 years ago

Factor out the coefficient of the variable 1/4 y + 3/8

Anna71 [15]

1/4 ( y + 1/8)
was 2/8 but simplified.

5 0

4 years ago

select whether the equation has a solution or not, square root x-2- square root 2x= square root x+2 (a. roots b. no roots)

Agata [3.3K]

The equation is $\sqrt{x-2 \\ \\$ - $\sqrt{2x}$ = $\sqrt{x +2}$

Solution

Step 1:

Take square on both sides, we get

3x - 2 $\sqrt{x-2}$ $\sqrt2{x}$ -2 = x +2

Step 2:

Subtract 3x - 2 from both sides, we get

-2 $\sqrt{x-2} \sqrt{2x} = -2x + 4$

Step 3:

Again, square on both sides in order to get rid of the square root from the above equation, we get

$8x^{2}-16x = 4x^{2} -16x +16$

Now we have to simplify it,

$4x^{2} -16 = 0$

Step 4:

Now we have to solve this quadratic equation, in order to get the solution.

We get x = 2 and x = -2, When we verifying solution in the original given equation, the solution does not satisfy the equation.

Reason: We get negative number in the square root.

Therefore, it has no Roots.

Answer: b) No roots

5 0

3 years ago

A recursive rule for a geometric sequence is a1=4/9;an=3an−1. What is the explicit rule for this sequence?

Anettt [7]

a1=4/9
r=an/a(nâ’1)=3
an=a1r^(nâ’1)=(4/9)*(3)^nâ’1

4 0

3 years ago

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