Answer:
The equation is : x-2y+2=0.
2×4=8
b×b×b= b^3
so putting them together would be
8×b^3
<h3>Given</h3>
- Set A: A = {-26, -25, -24, -23, - 22, - 21}
- Set B: B ∈ {x: x is even, x ≥ 6 and x ≤ 20}
<h3>(a) </h3>
<em />
<em>Cardinality means the number of elements in the set.</em>
Cardinality of the set A:
n(A) = 6, since we can count 6 elements.
Set B has even numbers between 6 and 20, both included:
- B = {6, 8, 10, 12, 14, 16, 18, 20}
Then its cardinality is:
<h3>(b) </h3>
To solve this we need to compare the elements of sets A or B with numbers given:
- -22 ∈ A, True ⇒ -22 is listed as element of A
- 6 ∈ B, True ⇒ 6 is listed as element of B
- - 21 ∉ A, False ⇒ - 21 is listed as element of A
- 2 ∈ B, False ⇒ 2 is not listed as element of B
Answer:
<u>C. 1 to 7.99</u>
Step-by-step explanation:
Let's recall that for calculating the range of a data set, we have to find out the lowest and the highest values of the data set.
As we can see in the graph below, the lowest value in the histogram is 1 and the highest is 7.99, therefore the correct answer is:
<u>C. 1 to 7.99</u>
Answer:
- Slope: -2
- equation: y = -2x +5
Step-by-step explanation:
The given point is the y-intercept of the line, so the slope-intercept form of the equation of a line can be used:
y = mx + b . . . . for slope m and y-intercept b
Here, you have the slope given as ...
m = -2
y-intercept = 5
so the equation of the line is ...
y = -2x +5
_____
The y-intercept is the value of y when x=0. The point (x, y) = (0, 5) tells you the y-intercept is 5.
