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Sindrei [870]
3 years ago
15

The first T-shirt you buy costs $7, and every additional shirt costs only $5. Let f(n) be the total cost of n shirts. F is a seq

uence. What kind of sequence is it?
Mathematics
1 answer:
Zina [86]3 years ago
6 0

Answer:

f(n) = 2 + 5n. This is an arithmetic sequence.

Step-by-step explanation:

f(1) = 7

f(2) = 7 + 5

f(3) = 7 + 5 + 5 = 7 +10

f(4) = 7 + 5 + 5 + 5 = 7 + 15

In general,

f(n) = 7 + 5(n -1 )

        = 7 + 5n - 5

        = 2 + 5n

We have the sequence 7, 12, 17, 22, 27 …

This is an arithmetic sequence, because it is a sequence of numbers in which the <em>common difference</em> between consecutive terms is 5.

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Look at the triangles shown below.
Sophie [7]

Answer:

Variant c

Step-by-step explanation:

c²=4*9

c=6

You can apply phyphagor

b²=6²+9²=36+81=117

3 \sqrt{13}

4 0
2 years ago
The area of the right triangle shown is 24 square feet. Which equations can be used to find the lengths of the legs of the trian
Gwar [14]

The equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100

<h3>How to determine the legs of the triangle?</h3>

The complete question is in the attached image

The given parameters are:

Area = 24

Legs = x and x + 2

The area of the triangle is calculated as:

Area = 0.5 * Base * Height

This gives

0.5 * x * (x + 2) = 24

So, we have:

0.5(x)(x + 2) = 24

Divide through by 0.5

(x)(x + 2) = 48

Expand

x^2 + 2x = 48

Subtract 48 from both side

x^2 + 2x - 48 = 0

Hence, the equations to calculate the legs are 0.5(x)(x + 2) = 24, x^2 + 2x - 48 = 0 and x^2 + (x + 2)^2 = 100

Read more about area at:

brainly.com/question/24487155

#SPJ1

3 0
1 year ago
There are 24 balls in gym class. The ratio of basketballs to soccer balls is 2:4. How many basketballs are there? How many socce
Serjik [45]
There is 24 basketballs and 48 soccer balls
4 0
3 years ago
_____ scientists study the planets. ( science )
allsm [11]

Answer:

A.

Step-by-step explanation:

Physical scientists are often known as astronomers. Which is the study of space including planets, moons, comets etc.

5 0
3 years ago
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Sorry, but I also need help on this
gladu [14]

Answer:

It B ok

Step-by-step explanation:

5 0
3 years ago
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