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DochEvi [55]
3 years ago
12

Given the recursive formula for a geometric sequence find the common ratio, the first four terms, and the explicit formula.

Mathematics
1 answer:
Dahasolnce [82]3 years ago
4 0
Since a(n)=-3(a(n-1)) the common ratio is -3, and a(1)=-3 so

a(n)=-3(-3^(n-1)) so the first four terms are:

-3, 9, -27, 81
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A fast-food restaurant sold 54 burgers with cheese. If the ratio of burgers sold with cheese compared to without cheese was 9: 5
alex41 [277]

Answer:

Step-by-step explanation:

We can write an relationship for this as:

3

:

2

→

24

:

b

Where  

b

is the number of burgers sold without cheese.

We can rewrite the relationship as an equation and solve for  

b

:

3

2

=

24

b

2

3

=

b

24

24

×

2

3

=

24

×

b

24

48

3

=

24

×

b

24

16

=

b

b

=

16

The restaurant would of sold  

16

burgers without cheese with the information provided in the problem.

4 0
3 years ago
Joe has finished 14 of the 30 lessons in his piano book. Lindsey has finished the same percent of lessons from her piano book, b
Ksenya-84 [330]

Answer:

Step-by-step explanation:

14 is 46.67% of thirty so you’d need to find out what 46.67% of 45 is which would be 21

Hope this is right and it helped XD

8 0
3 years ago
Read 2 more answers
Plsss help this is hard for me
soldi70 [24.7K]
Diameter is radius plus radius so its 14. Circumference is radius times pi which is 3. 14 so the answer for Circumference is 43.98.
Area is 153.94 the formula is A= nr to the power of two
8 0
3 years ago
Alex has a 70 percent of her weekly paycheck automatically deposited into a saving account this week 35 is deposited Alex wants
garri49 [273]

Answer: 50

Step-by-step explanation:

Let X represents his total weekly pay check

Hence, 70% of X = 35

70/100 × X =35

0.7 × X =35

0.7X =35

X = 35 ÷ 0.7

X = 50

X which is 50 is Alex 100% weekly pay check.

8 0
3 years ago
The line represented by the equation 4y + 2x = 33.6 shares a solution point with the line represented by the table
mamaluj [8]

Answer:

The solution of this system is

(4). (6.0,5.4)

Step-by-step explanation:

First we have to find the equation of the line represented in the table; for that we have to find it's slope m and it's y-intercept b and then write it in the following form:

y=mx+b

The slope m of the line we get from first two points:

m=\frac{3.8-3.2}{(-2)-(-5)} =0.2

thus we have

y=0.2x+b

we find b by putting the point (2,4.6) into the function:

4.6=0.2(2)+b

b=4.6-0.4=4.2

Thus we have

y=0.2x+4.2

Now we have to find where this line intersects with 4y+2x=33.6; to do this we just substitute y with y=0.2x+4.2:

4(0.2x+4.2)+2x=33.6

0.8x+16.8+2x=33.6

\boxed{x=6 }

<em>We have the x-coordinate of  the intersection.</em>

We find the y-coordinate by substituting x=6 into y=0.2x+4.2:

y=0.2(6)+4.2=5.4

\boxed{y=5.4}

Thus the solution to the system is

\boxed{(x,y)=(6, 5.4)}

which is option 4.

4 0
3 years ago
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