18=3(2x-6)
Multiply the bracket by 3
18=3(2x)(3)(-6)
18=6x-18
Move -18 to the other side. Sign changes from -18 to +18.
18+18=6x-18+18
18+18=6x
36=6x
Divide by 6 for both sides.
36/6=6x/6
x=6
Answer: x=6
They are = because both can be reduced to 9/17
Also their cross products are equal 27 x 34 = 18 x 51 - Both equal 918 so both fractions are equal to each other.
Answer:
Step-by-step explanation:
The "ab" inside absolute value has to go out positive, such as |-2|=2
Since both the a and b values are positive, the value of |ab| should be "ab"
For example:
a=2
b=3
|ab| = |2*3| = |6| = 6
Answer:
The substance half-life is of 4.98 days.
Step-by-step explanation:
Equation for an amount of a decaying substance:
The equation for the amount of a substance that decay exponentially has the following format:

In which k is the decay rate, as a decimal.
k-value of 0.1392.
This means that:

Find the substance's half life, in days.
This is t for which
. So







The substance half-life is of 4.98 days.
Answer:
D. There is no mistake.
Step-by-step explanation:
The following lines show the process of factorization by using common factor.
<u>Line 1:</u>
In line 1, the equation is given and is completely fine.

The only thing missing was equate to zero, but the options below talk about correct factors only, therefore this can't be considered as a mistake and can be ignored completely.
<u>Line 2:</u>
In line 2, the terms are grouped, from which we can factor out common terms.

This is also fine.
<u>Line 3:</u>
In line 3, the common term y is taken out from group 1 and 2 from other group.

which is exactly what is given in line 3.
<u>Line 4:</u>
In line 4 the common factors can be seen and easily split into 2 factors.

which is exactly what is given in line 4.
Options:
A. The grouping is correct in line 2. So this option is does not hold.
B. Common factor was factored correctly from group 1. So this option does not hold.
C. Common factor was factored correctly from group 2. So this option does not hold.
D. There is no mistake. This is correct. Thus we choose this option as correct answer.