2 Points

Alona [7]

Similarities:
Have a consistent change for every interval can be represented as functions of a variable points lie on a line.

Differences: linear equations represent all solutions to all x values, whereas arithmetic sequences pick integer spacing

4 0

3 years ago

The price of technology stock has risen $9.87 today yesterday's price is $9.74 find the percentage increase round your answer to

Kitty [74]

Step-by-step explanation:

To find the percent increase, divide the increase by the original price.

P1 = price yesterday

P2 = price today

To find percent increase

$\frac{(p2 - p1)}{p1}$

Or to answer the question,

P1 = 9.74

P2 = 9.87

$\frac{(9.87 - 9.74)}{9.74} = 0.013347$

Or 1.33%

4 0

3 years ago

F(x)= square root x-3

mariarad [96]

I would use a graphing tool like desmos or geogebra, or a texas instruments graphing calculator, there a number of tools out there. The first two options are free online tools. Using technology to graph is much preferred over doing it by hand.

If you must do it by hand, then the idea is to plug in various values of x to get corresponding values of y. For instance, if x = 7, then

y = sqrt(x-3)

y = sqrt(7-3)

y = sqrt(4)

y = 2

So the point (x,y) = (7,2) is on this curve. Repeat for other x values to get more points. Then plot the points all on the same xy grid. Lastly, draw a curve through those points. The more points you have, the more accurate the graph. Use graphing technology to help confirm you have the right graph.

As for the question of one-to-one, you are looking to see if the horizontal line test fails or not. After fully graphing y = sqrt(x-3), try to construct a single horizontal line that will pass through more than one point on the curve. You'll find that such a task is not possible in this case; therefore, this graph passes the horizontal line test and consequently the graph is one-to-one.

An example where a graph is not one-to-one would be a parabola. It is possible to pass a single horizontal line through more than one point on a parabola.

6 0

4 years ago

In the diagram, ABCDE is a regular pentagon.

RSB [31]

The shape ABCDE is a regular pentagon with five sides, such that the five sides are congruent

<h3>Part A: Calculate ∠BAE</h3>

The angle BAE is a vertex angle, and it is calculated using:

BAE = 180 * (n - 2)/n

Where n= 5; i.e. the number of sides.

This gives:

BAE = 180 * (5 - 2)/5

Evaluate

BAE = 108°

Hence, the measure of angle BAE is 108°

<h3>Part B: The name of the quadrilateral ABCD</h3>

When the vertices A and B are joined together, the shape becomes a trapezoid.

Hence, the name of the quadrilateral ABCD is a trapezoid.

<h3>Part C (i) Calculate ∠EDX</h3>

See attachment for the new figure.

From the attached figure, we have:

∠EDX + ∠EDC = 180° ---- the sum of angles on a straight line

Where:

∠EDC = ∠BAE = 108°

So, we have:

∠EDX + 108° = 180°

Subtract 108° from both sides

∠EDX = 72°

Hence, the measure of angle EDX is 72 degrees

<h3>Part C (ii) What type of quadrilateral is BDXE?</h3>

The quadrilateral BDXE is a parallelogram.

This is so because the opposite sides of BDXE are parallel, but not congruent