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3 years ago

If there are 5 terms in a quadratic sequence

Mathematics

1 answer:

exis [7]3 years ago

7 0

Answer:

7.2

Step-by-step explanation:

First differences:

0.8-0.2, 1.8-0.8, 3.2-1.8, 5.0-3.2

0.6, 1.0, 1.4, 1.8

Second differences:

1.0-0.6, 1.4-1.0, 1.8-1.4

0.4, 0.4, 0.4

For the next term, add 0.4 to the last term from the first differences, and add the sum to the last term of the quadratic sequence:

0.4+1.8=2.2

2.2+5.0=7.2

∴ The next term in the sequence is 7.2

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Find the slope of the line that passes through the points (−2/3, 3/4) and (5/6, −1/2).

EastWind [94]

Answer:

$-\frac{5}{6}$

Step-by-step explanation:

Use the slope formula : $\frac{y2-y1}{x2-x1}$

-1/2 is y2, 3/4 is y1, 5/6 is x2, and -2/3 is x1.

$\frac{-1/2-3/4}{5/6-(-2/3)}$

$\frac{-5/4}{5/6+2/3}$

$\frac{-5/4}{9/6}$

$\frac{-5}{4}$ ÷ $\frac{9}{6}$

$-\frac{5}{4}$ • $\frac{6}{9}$

$-\frac{5}{2}$ • $\frac{3}{9}$

$-\frac{15}{18}$

$-\frac{5}{6}$

Hope this helps! Let me know if I got it wrong.

5 0

3 years ago

A music Store buys Instruments and then sells them for 30% more than they paid if the store buys a guitar for $45 what will the

Cloud [144]

Answer:

$58.5

Step-by-step explanation:

3 0

2 years ago

Read 2 more answers

A circle has a radius of 1 cm. How does the circumference of the circle compare to the area? Drag and drop a phrase to correctly

Lana71 [14]

THE ANSWER IS GREATER THAN I TOOK THIS LESSON!

7 0

4 years ago

Derek wants to practice playing the guitar for 9 hours in 8 days. What is the

bonufazy [111]

Answer:

1 hour and 7.5 minutes or 67.5 per day will help him reach his goal of 9 hours per 8 days.

Step-by-step explanation:

9 hours

- 8 days

________

8 hours

1 hour left

1 hour is 60 minutes and 60/8 is 7.5 so each day will have added to it 7.5 minutes wish makes the answer 1 hour and 7.5 minutes or 67.5 minutes.

7 0

4 years ago

This is a question I have been trying to do for quite a while. My additional mathematics exam is next week and I need help. Anyo

Radda [10]

First of all, let's consider the line, since it's simpler to graph: we draw the endpoints and connect them:

$f(x)=2-\dfrac{3x}{4\pi} \implies f(0)=2,\quad f(2\pi)=\dfrac{1}{2}$

So, you just need to draw the points

$(0,2),\quad \left(2\pi, \dfrac{1}{2}\right)$

As for the trigonometric function, we have to start from the parent function $y=\sin(x)$ and derive the graph of its child function via transformations:

When we multiply the whole function by 2, we stretch the graph vertically. So, the function has still period $2\pi$ , but now it ranges from -2 to 2 instead of from -1 to 1 (amplitude 2)
When we multiply the argument by 2, we compress the function horizontally. So, the new period becomes $\pi$ , and the function makes two complete oscillations from 0 to $2\pi$

You can see the two functions in the image below. You can also see that the two graphs cross 4 times, meaning that the equation

$y_1=y_2$ has four solutions.

3 0

3 years ago