If C={-10,-9,-8,-7,-6,-5} and D={-6,-5,-4,-3,-3,-1} what is CnD

Find the gradient of the line segment between the points (-1,2) and (-2,3).

Svetach [21]

Answer:

The gradient of the line segment between the two points is -1

Step-by-step explanation:

The gradient of the line segment between two points is also known as the slope,

We can find this by using the formula; y₂ - y₁ / x₂ - x₁

The points given to us are;(-1,2) and (-2,3).

This implies x₁ = -1 , y₁=2 x₂ = -2 y₂= 3

We can now proceed to insert our values into the formula;

Gradient = y₂ - y₁ / x₂ - x₁

= 3 - 2 / -2-(-1)

= 1 / -2 + 1

=1/-1

Gradient = -1

Therefore the gradient of the line segment between the two points is -1

8 0

3 years ago

Determine if the graph is a function then state the domain and range.

nignag [31]

<h3>Explanation</h3>

A function is a set of relation that doesn't have repetitive domain. If we want to know if a graph is function or not, we have to do the line test.

Line Test

Draw a vertical line. Make sure that a line passes through a graph.
See if a line intercepts a graph more than one point or just only one.

Result

If a line intercepts a graph more than one point, it is not a function.

However, if a line only intercepts a graph just one point, it is indeed a function.

The given graph from the question is a function because it passes line test.

Domain and Range

Domain is the set of all x-values, meaning we only focus on x-axis or x-value only.

Range is the set of all y-values. We only focus on y-value or y-axis for Range.

Determine Domain from Graph

We can simply say that the domain is from starting domain or x-coordinate point to end x-coordinate point. For example, if a graph starts at x = -4 and ends at x = 2, we can say that - 4<=x=2.

Determine Range from Graph

Similar to Domain except Range starts from the minimum value or point to the maximum point or value. For example if a graph starts at min point = 6 and max point = 9. We can say that 6<=y<=9.

From the graph, the domain starts from negative infinity to positive infinity. Meaning that x can be any numbers. Hence, the domain is set of all real numbers. For range, the minimum value is 0 and max value is positive infinity. Therefore we write y>=0.

<h3>Answer</h3>

 $\begin{cases} x \in \mathbb{R} \\ y \geqslant 0 \end{cases}$ 

Domain is set of all real numbers.

Range is greater or equal to 0.

8 0

3 years ago

Please help me please it’s this question

Lera25 [3.4K]

Subtract 124 and 18

7 0

3 years ago

The weight of 3 fruit baskets are shown below. Basket A 12 Kg / Basket B 8 Kg / Basket C 18 kg Which basket is heaviest?

Feliz [49]

I think it is B I hope I am right and helped

5 0

3 years ago

Four of the same textbooks contain a total of 848 pages. Which represents the total number of pages, y, of any number of the sam

Brilliant_brown [7]

Answer:

The best option is c

Step-by-step explanation:

The same textbooks contains a total of 848 pages . Which represent the total number of pages , y , of any number of the same textbooks , x.

The number of same text book = x

Each of this textbook contains a total of 848 pages .

The total number of pages can be computed as

y = 848x

for 4 same text book

y = 848 × 4 = 3392 pages

for 3 same text book

y = 848 × 3= 2544 pages

for 7 same text book

y = 848 × 7 = 5936 pages

for 8 same text book

y = 848 × 8 = 6784 pages

for 11 same text book

y = 848 × 11 = 9328 pages

3 0

3 years ago

Read 2 more answers