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Mekhanik [1.2K]
3 years ago
5

10 Points!

Mathematics
1 answer:
Gekata [30.6K]3 years ago
7 0
In this sequence, a₁ equals -1. 

The difference between each term is +3, so the coefficient for n will be 3.

In the sequence, a₂ equals 2. The following equation will fit this sequence, and will be your answer:

a_n = -1 + 3(n - 1)

Proof:
a_1 = -1 + 3(1 - 1) = -1 + 3(0) = -1

a_2 = -1 + 3(2 - 1) = -1 + 3(1) = -1 + 3 = 2
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Help quick please. Order the numbers from least to greatest.
Anastasy [175]

Answer:

-2\frac{1}{4}

Step-by-step explanation:

Mod of any number represents the absolute value of the number.

Therefore, |-2\frac{1}{4}|=2\frac{1}{4} = 2.25

-2\frac{1}{4}=-2.25

|1\frac{1}{4}|=1.25

\frac{3}{4}=0.75

|-1\frac{3}{4}|=1\frac{3}{4}=1.75

-1\frac{1}{4}=-1.25

Now we can arrange these numbers in ascending order.

-2.25 < -1.25 < 0.75 < 1.25 < 1.75 < 2.25

Therefore, -2\frac{1}{4}

4 0
2 years ago
What is the equivalent ratio of 26:7​
anastassius [24]

Answer:

52 : 14

Step-by-step explanation:

multiply the numbers by 2

3 0
2 years ago
What's the linear function that passes through (1,-6) and (-8,9)​
ioda

Answer:

x axis?

Step-by-step explanation:

3 0
2 years ago
need help with this problem drop down1: 6, 10drop down2: 6, 10drop down3: less than (&lt;), greater than (&gt;), less than or eq
Kryger [21]

From the information given,

x represents number of small boxes while y represents number of large boxes.

If each small box can hold 6 books and each large box can hold 10 books, it means that the expression for the number of books that x small boxes and y large boxes can hold is

6x + 10y

If James can pack up to 110 books, it means that the number of books that he can pack is less than or equal to 110. The inequality representing this scenario is

6x + 10y ≤ 110

10y ≤ - 6x + 110

Dividing both sides of the equation by 10, we have

y ≤ - 6x/10 + 110/10

y ≤ - 3x/5 + 11

The graph is shown below

The inequality that represents this sitaution is 6x + 10y ≤ 110

The graph of the inequality wil have solid boundary at y = - 3x/5 + 11

and will be shaded below the line.

3 0
1 year ago
In planning her retirement, Liza deposits some money at 2% interest, twice as much deposited at 2.5%. What is the amount deposit
harkovskaia [24]
She deposited two amounts, let's say "a" and "b"
"a" earning 2% interest
"b" earning 2.5% interest

the 2.5% one, is twice as much as the 2% one
so.. one can say that, whatever "a" is, "b" is twice as much,
or b = 2*a -> b = 2a

now.. .the sum of both earned interest, was $1190

so.. one can say that (2% of a) + (2.5% of b) = 1190
let' us use the decimal notation then
\frac{2}{100}a+\frac{2.5}{100}b=1190\implies 0.02a+0.025b=1190&#10;\\ \quad \\&#10;\textit{however, we know "b" is 2a thus}&#10;\\ \quad \\&#10;0.02a+0.025\boxed{b}=1190\implies 0.02a+0.025(\boxed{2a})=1190

solve for "a" to find what the "a" amount is,
to find "b", well, "b" is "2a", so just do a 2*a to get "b"

5 0
3 years ago
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