Answer:
Value of the independent variable = 25
Step-by-step explanation:
y-intercept form of a straight line is represented by the equation,
y = mx + b
here y = dependent variable
m = slope
b = y intercept or vertical intercept
x = independent variable
In our question,
y-intercept 'b' = 150
slope of the line 'm' = 4
dependent variable y = 250
We will plug in these values in the equation of the line to get the value of the independent variable.
250 = 4x + 150
250 - 150 = 4x
x = 
x = 25
Therefore, value of the independent variable is 25.
Which is a subset of [1,2,4,5,6]? <br>
A. [0,1,2]<br>
B. [3,4]<br>
C. [5,6,7]<br>
D. [2,6]
aalyn [17]
Answer: D, [2,6])
Step-by-step explanation
Let us start by explaining what a subset means. A subset of a set is a a set(usually a smaller set) that contains contains elements which are all members or elements of the main set. This means that all the elements in the subset are contained in the main set. Usually, all the elements of the subset are contained in the main set but all the elements in the main set are not contained in the subset
The given set of numbers is
[1,2,4,5,6]
From the options given, all the elements in the subset, [2,6] are contained in the main set, [1,2,4,5,6].
So option D is the subset.
The subsets in the other options has elements that are not in the main set.
<span>1. </span><span>The Given problem is to find
where to place the decimal point to the product shown below.
3.9853 x 8.032856, notice that the given equation are decimal numbers with both
ones place value of the whole number.
Now, given the answer 32013341 without decimal point, let’s find where to put
the decimal point.
=> 3.9853 x 8.032856
=> 32.013341
Thus, the decimal point is now located after the 2nd number. We now have 2 whole numbers with value of
tens.
</span>
Answer:
4x² + 12x + 9
Step-by-step explanation:
<h3>
Using identity: </h3>
(a +b)² = a² + 2ab + b²
Here, a = 2x & b = 3
(2x +3 )² = (2x)² + 2*2x*3 + 3²
= (2x*2x) + 12x + 3*3
= 4x² + 12x + 9
