A) The given equation has no solution. The absolute value cannot be negative, but must be -9 in order for the equation to be satisfied.
b) |x -7| = 2 . . . . . . . the equation
Solution 1:
-2 = x -7
5 = x . . . . . . add 7
Solution 2
x -7 = 2
x = 9 . . . . . . add 7
The two numbers are {5, 9}
Answer:
x=3
Step-by-step explanation:
the sides MJ and MK should be equal so 12x-24 = 4x
if you isolate x you get 3
First, we subtract 12x from both sides. We then get -4y=-12x+48. We then divide this by -4 on both sides to get the y by itself. We then get that the equation is y=3x-12.
Answer:
Distributive law, in mathematics, the law relating the operations of multiplication and addition, stated symbolically, a(b + c) = ab + ac; that is, the monomial factor a is distributed, or separately applied, to each term of the binomial factor b + c, resulting in the product ab + ac. From this law it is easy to show that the result of first adding several numbers and then multiplying the sum by some number is the same as first multiplying each separately by the number and then adding the products.
Step-by-step explanation:
a(a+b)
in this question first a will multiply by a+b.
like this;
a(a+b)
= a(a)+ab
= a^2+ab
According to the theory on the <em>effect size</em> the following statements are correct:
<em>As the standard deviation increases, the power of the test increases</em>. An increment of the standard deviation means that a larger sample size is required for the test and a larger sample size implies that the power increases, which means that as the standard deviation increases the power also increases.
<em>As the sample size increases, the power of a test increases</em>. When the sample size increases the amount of information increases, this means that the probability of rejecting H0 given that H0 is false increases. In other words, the probability that the significance test performs according to reality is larger.
