How do I find x in this problem?

Mathematics

1 answer:

torisob [31]3 years ago

5 0

Answer:

(6-2)×180 = 720

101+154+72+123+145+x=720

595 + x = 720

x = 720-595

x= 125

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A sequence is defined recursively using the equation f(n + 1) = f(n) – 8. If f(1) = 100, what is f(6)?

BARSIC [14]

If the sequence f is defined as

$\mathsf{f(n+1)=f(n)-8}$

then

$\mathsf{f(n+1)-f(n)=-8}$

As you can see above, the difference between two consecutive terms gives us a constant.

So f is actually an arithmetic progression (AP), and it has (– 8) as its common difference:

$\mathsf{f(n)=f(1)+(n-1)\cdot d}\\\\ \textsf{where }\mathsf{d=-8.}$

• If f(1) = 100, then

$\mathsf{f(6)=f(1)+(6-1)\cdot (-8)}\\\\ \mathsf{f(6)=100+5\cdot (-8)}\\\\ \mathsf{f(6)=100-40}\\\\ \boxed{\begin{array}{l} \mathsf{f(6)=60} \end{array}}\qquad\checkmark$

If you're having problems understanding this answer, try seeing it through your browser: brainly.com/question/2190444

I hope this helps. :-)

3 0

3 years ago

Plz, answer this it is really easy.

dimulka [17.4K]

Answer:

v = 17.4 meters

Step-by-step explanation:

This is a triangle with height (red dotted line) given.

The area of a triangle is given by the formula:

$A=\frac{1}{2}bh$

Where

A is the area

b is the base length

h is the height

Given height = 12, and

area = 104.4

THe base is labeled as "v", so we find v by replacing into formula:

$A=\frac{1}{2}bh\\104.4=\frac{1}{2}(v)(12)\\104.4=6v\\v=\frac{104.4}{6}\\v=17.4$

The base, v, is 17.4 meters

7 0

3 years ago

Mr.jonson sells erasers for $3 each.He sold 96 erasers last week and he sold 204 erasers this week.About how much more money did

7nadin3 [17]

Answer: About $300

Step-by-step explanation:

1. To solve this problem and estimate how much more money Mr. Johnson made this week (which you can call x) you must apply the proccedure shown below:

- Round the number of erasers sold:

96 erasers≈100 erasers

204 erasers≈200 erasers

- The amount of money made last week is:

$\$3*100=300\$$