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3 years ago

Question number five answer

Mathematics

2 answers:

kiruha [24]3 years ago

5 0

Answer:

Step-by-step explanation:

labwork [276]3 years ago

4 0

Hey it’s d!!! Can I pls get Brainly :) I’m trying to get my next rank!!!

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Find an explicit rule for the nth term of a geometric sequence where the second and fifth terms are -6 and 162, respectively.

Vesna [10]

Answer:

b. an = 2 • (-3)^(n - 1)

Step-by-step explanation:

Before we test a solution or two, we can easily discard most of them.

We see the values alternate of signs (-5 for the 2nd term and +162 for the 5th term)... so the progression factor has to be negative (in order to alternate sign). That already excludes answers A and C.

Normally, a geometric progression has the (n-1) exponent, not (n+1), so our chances seem to be better with B.

We can test both D and B with n = 2, to obtain -6

Let's test answer D before:

$a_{2} = 2 * (-3)^{2+1} = 2 * (-3)^{3} = 2 * -27 = -54$

The result is -54, not -6... so it's not the right result.

Let's test answer B then:

$a_{2} = 2 * (-3)^{2-1} = 2 * (-3)^{1} = 2 * -3 = -6$

Right! Let's verify with n=5 to get 162:

$a_{5} = 2 * (-3)^{5-1} = 2 * (-3)^{4} = 2 * 81 = 162$

Confirmed, answer is B. an = 2 • (-3)^(n - 1)

3 0

3 years ago

It costs $35 per hour to rent a boat at the lake. You also need to pay a $25 fee for safety equipment. You have $200. For how lo

kobusy [5.1K]

200-25= 175

175/35= 5 hours

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3 years ago

What is the percent of change from 50,000 to 90,000?

RSB [31]

Answer: 80%

Step-by-step explanation: 50000x1.8=90000

Hope this helps!

5 0

3 years ago

Hector, Sam, Ted, and Gina are comparing their savings. Hector saved twice as much money as Sam. Ted saved $100 more than Hector

lutik1710 [3]

Answer:

$2x+50$

Step-by-step explanation:

Given: Hector saved twice as much money as Sam.

Ted saved $100 more than Hector.

Gina saved $50 less than Ted.

As given, lets assume the amount of money Sam has in saving be "x".

Now, finding saving of each person given.

Writing the algebric expression of each´s saving amount.

we know, Hector saved twice as much money as Sam.

∴ Hector saving= $\$2x$

Also, Ted saved $100 more than Hector.

∴ Ted´s saving= $\$(2x+100)$

Next finding Gina´s saving

As given, Gina saved $50 less than Ted.

∴ Gina´s saving= $\$ (2x+100)-\$ 50$

Opening parenthesis and solving it.

⇒ Gina´s saving= $\$ 2x+\$50$

Algebric expression of Gina´s saving= $2x+50$

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4 years ago

Identify the vertex of the graph. Tell whether it is a minimum or maximum.

vitfil [10]

Given that the graph of the quadratic function.

We need to determine the vertex of the graph and also determine whether it is a minimum or maximum value.

Vertex:

The vertex of the parabola is the point at which the parabola makes a turn to form a U - shaped graph.

Hence, from the figure, the parabola turns at the point (0,-2) to form a U - shaped graph.

Therefore, the vertex of the graph is (0,-2)

Minimum or maximum value:

When the parabola is open upwards, then the vertex is the lowest point on the graph which is the minimum value on the graph.

Thus, the graph has a minimum value.

Hence, the vertex of the graph is (0,-2); minimum value.

Therefore, Option A is the correct answer.

5 0

3 years ago