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2 years ago

Compute the following: g(r) = 20 - 3r g(5) = ?

Mathematics

1 answer:

Alenkasestr [34]2 years ago

6 0

Answer:

G(5)= 5

Step-by-step explanation:

r is 5, so you input it into the r next to -3, so you should have 20-3(5), and -3 times 5 is -15. You subtract -15 with 5 and the answer should give you 5.

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How can I find the value of X?

BARSIC [14]

Answer:

Step-by-step explanation:

Remark

The first thing you must do is notice that <D = <BEA. Mark it that way on your diagram.

The Second thing you need to notice is that <BEA and <A are equal because <A and <D are marked as equal.

So both the large triangle and the small one are isosceles. because 2 of the 3 angles are equal.

Now are you ready for this? That means that BA = 10 because BA is opposite one of the 2 equal angles in the small triangle. So now you are ready to set up a proportion.

Proportion

AB / AC = AE/AD

Givens

AB = 10

AC = 18

AE = 8

AD = x + 8

Solution

Substitute the Givens into the Proportion.

10/18 = 8/(x + 8) Cross multiply

10(x + 8) = 8 * 18 Simplify both sides

10x + 80 = 144 Subtract 80 from both sides

10x + 80 - 80 = 144 - 80

10x = 64 Divide by 10

10x/10 = 64/10

Answer: x = 6.4

5 0

1 year ago

Common difference of 1 10 100 1000 What is the answer.

Maksim231197 [3]

Answer:

each time the numbers are being multiplied by 10

Step-by-step explanation:

1 × 10 = 10

10 × 10 = 100

100 × 10 = 1,000

hope this helps :)

5 0

2 years ago

Can somebody explain how to do this quickly. Already know how to solve it but it takes me a long time :(

lorasvet [3.4K]

Answer:

picture is too small .i am not able to see

4 0

2 years ago

Help please!! How do I solve this

egoroff_w [7]

This is an exponential equation. We will solve in the following way. I do not have special symbols, functions and factors, so I work in this way
2 on (2x) - 5 2 on x + 4=0 =>. (2 on x)2 - 5 2 on x + 4=0 We will replace expression ( 2 on x) with variable t => 2 on x=t =. t2-5t+4=0 => This is quadratic equation and I solve this in the folowing way => t2-4t-t+4=0 => t(t-4) - (t-4)=0 => (t-4) (t-1)=0 => we conclude t-4=0 or t-1=0 => t'=4 and t"=1 now we will return t' => 2 on x' = 4 => 2 on x' = 2 on 2 => x'=2 we do the same with t" => 2 on x" = 1 => 2 on x' = 2 on 0 => x" = 0 ( we know that every number on 0 gives 1). Check 1: 2 on (2*2)-5*2 on 2 +4=0 => 2 on 4 - 5 * 4+4=0 => 16-20+4=0 =. 0=0 Identity proving solution.
Check 2: 2 on (2*0) - 5* 2 on 0 + 4=0 => 2 on 0 - 5 * 1 + 4=0 =>
1-5+4=0 => 0=0 Identity provin solution.

5 0

2 years ago

On a certain route, an airline carries 8000 passengers per month, each paying $70.A market survey indicates that for each $1

son4ous [18]

Answer:

The maximum revenue is $661,250.

Step-by-step explanation:

The total revenue (R) is the product between the number of passengers (N) and the price of each ticket (P), so the inicial revenue is:

R = N * P = 8000 * 70 = $560,000

For each 1$ increase in the ticket, the airline loses 50 passengers, so if we call "x" the increase in the ticket price, we have that the revenue equation will be:

R = (8000-50*x) * (70+x) = 560000 + 8000*x - 50*70*x -50x2

R = -50*x2 + 4500*x + 560000

The value of x that gives the maximum value of a quadratic function is found using the formula:

x = -b/2a

where a and b are coefficients of the quadratic equation (in our case, a = -50 and b = 4500)

So the value of x that gives the maximum revenue is:

x = -4500 / (-100) = 45

Using this value in the revenue equation, we have that the maximum R is:

R = -50*45^2 + 4500*45 + 560000 = $661,250

(To get this revenue, the ticket will cost 70+45 = $115 and there will be 8000-50*45 = 5750 passengers)

3 0

2 years ago