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frozen [14]
3 years ago
7

22n=418 what is the vaule of n.

Mathematics
1 answer:
AnnZ [28]3 years ago
8 0

Answer:

n = 19

Step-by-step explanation:

22n = 418

Divide both sides by 22.

n = 19

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What are the zeros of the polynomial function f(x)=x^2-x-20
Sidana [21]

Answer:

x=5 or x= -4

Step-by-step explanation:

hello :

f(x)=x²-x-20

solve : x²-x-20 =0

(x-5)(x+4)=0

x-5=0 or x+4=0

x=5 or x= -4

6 0
2 years ago
The functions f(x) = -(x+4) +2 and g(x) =(x-2)^2 -2 have been rewritten using the completing the square method. Apply your knowl
rewona [7]

Answer:

g(x) = (x-2)^2 -2

If we compare this function with the vertex form we see that:

a = 1, h =2, k =-2

So then the vertex would be (h,k)=(2,-2)

And since the value for a is positive we know that the parabola open upward. We don't have a maximum defined since open upwards and the minimum point correspond to the vertex on this case (2,-2).

f(x)= -(x+4)^2 +2

If we compare this function with the vertex form we see that:

a=-1, h =-4, k = 2

And since the value for a is negative we know that the parabola open downward. We don't have a minimum defined since open downwards and the maximum point correspond to the vertex on this case (-4,2).

Step-by-step explanation:

We need to remember that the standard form for a parabola is given by the following equation:

y = ax^2 + bx +c

And the vertex form is given by this formula:

y = a(x-h)^2 +k

And we want to find the vertex and if we have a maximum or minimum for each function. Let's begin with g(x)

g(x) = (x-2)^2 -2

If we compare this function with the vertex form we see that:

a = 1, h =2, k =-2

So then the vertex would be (h,k)=(2,-2)

And since the value for a is positive we know that the parabola open upward. We don't have a maximum defined since open upwards and the minimum point correspond to the vertex on this case (2,-2).

For the function f(x) we assume that we have the following equation:

f(x)= -(x+4)^2 +2

If we compare this function with the vertex form we see that:

a=-1, h =-4, k = 2

And since the value for a is negative we know that the parabola open downward. We don't have a minimum defined since open downwards and the maximum point correspond to the vertex on this case (-4,2).

4 0
3 years ago
consider a population of voters. suppose that that there are n=1000 voters in the population, 30% of whom favor jones. identify
Drupady [299]

Answer:

P(B)=0.30

Step-by-step explanation:

Out of 1000 Voters, 30% favor Jones.

Event S=Favors Jones on First Trial

Event B=S occurs on Second Trial

P(S)=0.30

P(S')=1-0.30=0.70

Event B could occur in two ways

  1. The first two trials are a success
  2. The first trial is a failure and the second trial is a success.

Therefore,

P(B)=P(SS)+P(S'S)

=(0.3X0.3)+(0.7X0.3)

=0.09+0.21

=0.3

Therefore, the probability of event B(that event S occurs on the second trial), P(B)=0.30.

7 0
3 years ago
ASAP please help with math thanks
fomenos

Answer:

2: 6,8

Step-by-step explanation:

2) Look at the range from 6-8 then look at the frequency. The frequency is the highest so that is the most frequent range that they scored in.

I apologise for only answering one question. I don't have access to paper rn and this is hard stuff to do in my head.

5 0
3 years ago
After a 13% price reduction, a boat sold for $25,230. What was the boat's price before the reduction? (Round to the nearest cent
sashaice [31]

Answer:

The boat's price before the reduction was $ 29,000.

Step-by-step explanation:

Given that after a 13% price reduction, a boat sold for $ 25,230, to determine what was the boat's price before the reduction, the following calculation must be performed:

100 - 13 = 87

87 = 25230

100 = X

100 x 25 230/87 = X

2523000/87 = X

29000 = X

Therefore, the boat's price before the reduction was $ 29,000.

4 0
2 years ago
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