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scZoUnD [109]
3 years ago
9

What is the graph for y<2x-5,y>-3x+1

Mathematics
1 answer:
Thepotemich [5.8K]3 years ago
4 0
I put in a graph and the equation 
y<2x-5
y>-3x+1

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Can someone please help with this question of what the explicit rule is.
Lyrx [107]

Answer:

f(n)=-6n+36

Step-by-step explanation:

The sequence is arithmetic because it is going down/up by the same number each time.

It is going down by 6.

This tells us that the common difference is -6.

The first term is 30.

The following is the explicit form of an arithmetic sequence:

f(n)=f(1)+d(n-1)

where f(1) is the first term and d is the common difference.

So we have f(1)=30 and d=-6.

Plugging this information into our explicit formula:

f(n)=30+-6(n-1)

f(n)=30-6n+6

f(n)=30+6-6n

f(n)=36-6n

f(n)=-6n+36

Let's check it.

The first term is f(1)=30:

f(1)=-6(1)+36=-6+36=30 which is what the pattern reads for the first term.

The second term is f(2)=24:

f(1)=-6(2)+36=-12+36=24 which is what the pattern reads for the second term.

The third term is f(3)=18:

f(3)=-6(3)+36=-18+36=18 which is what the pattern reads for the third term.

The fourth term is f(4)=12:

f(4)=-6(4)+36=-24+36=12 which is what the pattern reads for the fourth term.

This rule certainly does generate the terms of our sequence as we have shown above.

The explicit form with no doubt is f(n)=-6n+36.

5 0
3 years ago
How many steps is a mile
andre [41]
A little over 2,000 steps would be 1 mile.
It really  counts on the length of you stride.
7 0
4 years ago
25 points!<br> Just checking is the answer<br> 20y^8y^3
Vanyuwa [196]

Answer:

\boxed{D. 20 {x}^{6}  {y}^{4}}

Step-by-step explanation:

(5 {x}^{2} y)(4 {x}^{4}  {y}^{3} ) = 20 {x}^{6}  {y}^{4}

<em>Rule need to remember to solve such questions</em><em>:</em>

{a}^{x} \times {a}^{y} = {a}^{x + y}

8 0
3 years ago
Read 2 more answers
25% of total mangoes which are rotten is 1250. Find the total number of mangoes in the basket. Also , find the number of good ma
Ghella [55]

There were 5000 mangoes in the basket, 3750 of them were good.

%                  mangoes

25% ---------- 1250

75% -----------    X

25x = 1250.75

25x =  93750

X = 93750/25

X = 3750 mangoes

3750+1250 = 5000

4 0
4 years ago
Help please.........
Paladinen [302]

Answer:

37

Step-by-step explanation:

The cosine of an angle is the length of the adjacent side, in this case x, divided by the length of the hypotenuse, in this case 85. So you can set up the following equation:

\cos 64.2^{\circ}=\dfrac{x}{85}

x\approx 37 units

Hope this helps!

6 0
3 years ago
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