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aleksandr82 [10.1K]
3 years ago
10

The nth term can of a geometric sequence?

Mathematics
2 answers:
Novosadov [1.4K]3 years ago
8 0

Answer:

a1= 1   r= 3

a1= 8  r= 1/2

a1= 4  r= -4

second part of question below

Step-by-step explanation:

Which of the following is the rule for the geometric sequence 1, 3, 9, 27, . . .?

answer: a(n)= 1 x 3^n-1

Mars2501 [29]3 years ago
4 0

Answer:

1 and 3

8 and 1/2

4 and -4

Step-by-step explanation:

1 is the first term, and then if you keep multiplying by 3 you get the other numbers.

8 is the first term, and if you keep multiplying by 1/2 you get the other terms.

4 is the first term, and if you keep multiplying by -4 you get the continuing numbers.

Hope this helps!

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Which are the roots of the quadratic function f(b) = 62 – 75? Select two options.
elena55 [62]

Answer:

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

Step-by-step explanation:

Given

f(b) = b^2 - 75

Required

Determine the roots

To get the root of the function, then f(b) must be 0;

i.e. f(b) = 0

So, the expression becomes

0 = b^2 - 75

Add 75 to both sides

75 + 0 = b^2 - 75 + 75

75 = b^2

Take square roots of both sides

\sqrt{75} = \sqrt{b^2}

\sqrt{75} = b

Reorder

b = \sqrt{75}

Expand 75 as a product of 25 and 3

b = \sqrt{25*3}

Split the expression

b = \sqrt{25} *\sqrt{3}

b = \±5 *\sqrt{3}

b = \±5 \sqrt{3}

b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

The options are not clear enough; however the roots of the equation are b = 5 \sqrt{3} \ or\ b = -5 \sqrt{3}

4 0
3 years ago
Sarah paid $3.84 for 32 ounces of carrots. Sue paid $5.20 for 40 ounces of carrots. Who paid less per ounce
Tatiana [17]

Answer:

Sarah

Step-by-step explanation:

For Sarah

Sarah paid $3.84 for 32 ounces of carrots.

32 ounces = $3.84

1 ounce = x

Cross Multiply

x = $3.84/32

x = $0.12

For Sue

Sue paid $5.20 for 40 ounces of carrots.

40 ounces = $5.20

1 ounce = x

Cross Multiply

x = $5.20/40

x = $0.13

Who paid less per ounce?

Sarah paid less per ounce

8 0
3 years ago
Read 2 more answers
Probably of Carl solving the 10 problems if there's 20 to study and he knows 15 and ten of the 20 are on the test.
Vladimir79 [104]

Answer:

1/3

Step-by-step explanation:

Probability of solving ten problems by Carl

Given

Total number of problems = 20

Number of problems studied by Carl = 15

Number of problems out of the 20 set of problem coming in test is 10

Case I - All ten problems come from the set of known 15 question

10/15 * 10/20 = 1/3

8 0
3 years ago
Solve the inequality for x. Show each step of the solution.<br> 12X&gt;9(2X-3)-15
agasfer [191]
12x > 18x - 27 - 15
12x > 18x - 42
12x - 18x > -42
-6x > -42
x < -42/-6
two negatives make a positive so now its x < 42/6
Lastly divide 42/6 so it can equal 7

Answer: X < 7.
6 0
3 years ago
Read 2 more answers
Solve for X<br><br> PLEASE HELP ME
guapka [62]

Answer:

x = 10°

Step-by-step explanation:

Step 1:

92° + x° + 78° = 180°             Supplementary Angles

Step 2:

x° + 170° = 180°         Combine Like Terms

Step 3:

x° = 180° - 170°       Subtract 170° on both sides

Answer:

x = 10°

Hope This Helps :)

4 0
3 years ago
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