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viktelen [127]
3 years ago
14

Write the explicit formula for the geometric sequence. a1 = -5 a2 = 20 a3 = -80

Mathematics
1 answer:
djverab [1.8K]3 years ago
3 0
Geometric is
an=(a1)(r^(n-1))
a1=first term
r=common ratio

so

a1=-5, given

a2=20 so

a2=20=-5(r^(2-1))
20=-5(r^1)
20=-5(r)
divide both sides by -5
-4=r

the formula is
an=-5(-4)^(n-1)
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Worth 12 points and actually help me with the question plz
KATRIN_1 [288]

Answer:

(x + 1, y - 3)

Step-by-step explanation:

The translation is 1 unit right and 3 units down.

7 0
3 years ago
Paul has $145 in his savings account. He earns $36 a week mowing lawns. If Paul saves all of his earnings, after how many weeks
Lemur [1.5K]

Answer:

Paul will have no more than $ 450 in next 8 weeks.

Step-by-step explanation:

From the information given on statement, we know that Paul saves all of his earnings weekly. Then, the money save is equal to the sum of initial amount (C_{o}), measured in monetary units, and week earning (R), measured in monetary units, multiplied by a number of weeks (n), dimensionless:

C =C_{o} + n\cdot R (1)

Now we clear the number of weeks within the formula:

n = \frac{C-C_{o}}{R}

If we know that C_{o} = \$\,145, C = \$\,450 and R = \$\,36, then the number of weeks is:

n = \frac{\$\,450-\$\,145}{\$\,36}

n = 8.472

Paul will have no more than $ 450 in next 8 weeks.

8 0
3 years ago
Read 2 more answers
Justify x over 3 minus 7 equals 11
drek231 [11]

Answer:

54/3-7=11

Step-by-step explanation:

x/3<u>-7=11</u>

   +7 +7

(3)x/3=18(3)

     x=54

Check

54/3-7=11

18-7=11

11=11

4 0
3 years ago
The function y = f(x) is graphed below. What is the average rate of change of the
Serjik [45]

The average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

<h3>What is the average rate of change?</h3>

The average Rate of Change of the function f(x) can be calculated as;

f(x) = \dfrac{f(b) - f(a)}{b-a}

Interval -3 ≤ x ≤-1

a = -3, b = -1

f(a) = f(-3) = -20

f(b) = f(-1) = 0

Step 2: Find Average

f(x) = \dfrac{f(b) - f(a)}{b-a}\\\\\\f(x) = \dfrac{f(-1) - f(-3)}{-1-(-3)}\\\\\\f(x) = \dfrac{0 - (-20)}{2}\\\\f(x) = 10

Therefore, the average rate of change of the function in the given interval -3 ≤ x ≤-1 is 10.

Learn more about average rate;

brainly.com/question/20784578

#SPJ1                  

3 0
2 years ago
10 pts<br> Point K (-2,-3) is translated (x + 5, y-7). What are the coordinates K?
Nady [450]
The answer is (3,-10)
4 0
3 years ago
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