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olasank [31]
3 years ago
9

Write an explicit formula for an, the nth term of the sequence 2, -1, –4, ....

Mathematics
2 answers:
Agata [3.3K]3 years ago
7 0

Answer:

a(n) = a(1) -3(n-1)

Step-by-step explanation:

ryzh [129]3 years ago
4 0
A(n)=a(1)-3(n-1)
Step by step explanation
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Avery received $80 in cash for mowing lawns. She did the following with the $80. Put 20% of the $80 into a bank account. Spent 1
PolarNik [594]

Answer:

$48

Step-by-step explanation:

To start off, we know that Avery put 20% of the $80 in her bank account. We can figure out how much 20% of 80 is by multiplying 80 by 20% and then subtracting that number from 80. Remember to switch 20% to its decimal form (20% -> .2).

Step 1) 80 x .2 = 16

Step 2) 80 - 16 = 64

Next, we have to figure out how much 1/4 of the remaining $64 would be. We just simply divide 64 by 4 to figure out how much Avery spent.

Step 3) 64 / 4 = 16

Lastly, since we know Avery spent 16 dollars, we can subtract the 16 from 64 to get our final answer.

Step 4) 64 - 16 = 48

8 0
3 years ago
Two lines, A and B, are represented by the following equations:
ch4aika [34]
Line A: 2x+2y=8     ⇒2y=-2x+8  ⇒ y=-x+4
Line B: x+y=3          ⇒y=-x+3

Therefore: y=y then:
-x+4=-x+3
-x+x=3-4
0≠-1    ⇒There is no solution because the lines are parallels

Answer: There is no solution


8 0
3 years ago
Read 2 more answers
A laundry detergent cap holds a volume of 6 fluid ounces. Is the volume of 2 laundry detergent caps greater than 1 cup?
andre [41]
1 cup is 8 fluid ounces.

1 cap is 6 oz, 2 caps is 12 oz, is that greater than 8 oz?  well, surely you'd know.
7 0
3 years ago
A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each ad
vovikov84 [41]

Solution:

A family of 3 children and 2 adults visited a health club. The club charges $y an hour for each child and $x an hour for each adult.

First we make inequality according to question.

In a family number of children 3

Charge for 1 child = $y per hour

Charge for 3 children = 3y

Charge for 1 Adult = $x per hour

Charge for 2 adults = 2x

If the family does not want to s[end more than $30 an hour at health club.

\therefore 2x+3y\leq 30

Where, x and y should be greater than 0.

\therefore x\geq 0,y\geq 0

Now we make the graph of this inequality.

First we take equality of equation and then find x and y table.

2x+3y=30

x        y

 0        10

 6        6

 15      0

Here we have inequality. So, we have to take a test point (0,0)

2(0)+3(0)\leq 30\Rightarrow 0\leq 30

This statement is true. So, Graph will shade towards the test point (0,0)

Please see the attachment for graph.

3 0
3 years ago
Caroline, Sushil and Dan share £152 in a ratio 3:2:3. How much money does each person get?
Vlad [161]

Answer: 57:38:57

Step-by-step explanation:

7 0
3 years ago
Read 2 more answers
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