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leva [86]
3 years ago
6

Which statement best explains if the graph correctly represents the proportional relationship y = −2x? (4 points)

Mathematics
1 answer:
Vlada [557]3 years ago
7 0
The answer to the question is b
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A group of students is arranging squares into layers to create a project. The first layer has 5 squares. The second layer has 10
True [87]

Answer:

  • Recursive formula:

                                         a_1=5;a_n=5+a_{n-1},n>0

Explanation:

All the shown formulae in the choice list are recursive formulae instead of explicit formulae.

Explicit formulae that represent arithmetic sequences are of the form:

  • a_n=a_1+(d-1)n

That kind of formula permits to determine any term knowing the first term, the number of the term searched, and the common difference (d).

On the other hand, the recursive formulae let you to calculate one term knowing the previous term and the difference.

In this case, the difference in the number of squares of two consecutive terms is:

  • differece = number of squares in the second layer - number of squares in the first layer.

  • d = 10 - 5 = 5

Then, the recursive formula is:

  • a_1=5;a_n=5+a_{n-1},n>0

8 0
3 years ago
The output of a flashlight is 2.0 x 10 lumens. If 1 lumen is about 1.464 x 10 3 watts, then
Alja [10]
B
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8 0
3 years ago
Money is borrowed at 9% simple interest after one year $1209.90 pays off the loan how much was originally borrowed
Kamila [148]

Answer:

10,881$

Step-by-step explanation:

time = 1 year

amount paid =  $1209.90

percent borrowed =  9%

therefore originally borrowed = $1209.90 X 9% X 1 year

  Hope is correct

5 0
3 years ago
Read 2 more answers
The graphs below have the same shape. What is the equation of the blue
frutty [35]
Using a graph tool
see the attache figure

the answer is the option B
g(x)=(x-5)²

4 0
3 years ago
Read 2 more answers
The diagram shows 5 ft student standing near a tree. The shadow of the student and the shadow of the tree
mariarad [96]

Answer:

x = 25 ft

Step-by-step explanation:

here we see the student standing and creating a small triangle that is equivalent to the big triangle since it has the same angles, the only difference is that its smaller, so what we have to do is make a proportion of both triangles, so since 8 ft correspond with the 40 ft they're going to be in the same part of the proportion and the other measurements, including x, on the other part, so itll be 5/8 and x/40, see how the 8 and 40 are both on the bottom? thats because they correspond, so now all you have to do is cross butterfly, so you can set up an expression on 8x= 5*40 or you can just multiply 5*40 and then divide by 8, your answer will be x= 25 ft

8 0
3 years ago
Read 2 more answers
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