All categories

3 years ago

Okay so i know g(x)= 3k-2x² and g(-3)=-6

Mathematics

2 answers:

crimeas [40]3 years ago

6 0

K=4 is the answer.....

USPshnik [31]3 years ago

4 0

g(x)= 3k-2x²

g(-3)=-6 ____(1)

So, using (1),

-6 = g(-3)

=> -6 = 3k - 2(-3)²

=> -6 = 3k - 2(9)

=> -6 = 3k - 18

=> -6 +18 = 3k

=> 12 = 3k

=> 12/3 = k

=> 4 = k

Now, you can find g(n) for any number n, as now we know the value of k. Specify the value of x, if you want to know what is g(x).

You might be interested in

The point (1, −1) is on the terminal side of angle θ, in standard position. What are the values of sine, cosine, and tangent of

defon

The abscissa of the ordered pair, that is the x-coordinate, is equal to 1 and the ordinate, the y-coordinate, is equal to -1. In the cartesian plane, this point lies in the fourth (IV) quadrant. The standard position of the angle is that which has one of its side is in the x-axis.

Solve for the hypotenuse of the right triangle formed.
h = sqrt((-1)² + (1)²) = √2
Below items show the calculation for each of the trigonometric functions.

sin θ = opposite/hypotenuse = y/h = (-1)/(√2) = -√2/2
cos θ = adjacent/hypotenuse = x/h = (1)/√2 = √2/2
tan θ = opposite/adjacent = y/x = -1/1 = -1

7 0

3 years ago

The Dallas Development Corporation is considering the purchase of an apartment project for $100,000. They estimate that they wil

katovenus [111]

Answer:

<u>The rate of return is 8.15%</u>

<u>This is a good investment</u>

<u></u>

Explanation:

For the first question, you need to find the rate that makes the present value of a stream of ten constant annual payments of $15,000 equal to the $100,000 investment.

The formula that returns the present value of a constant payment is called the annuity formula and is:

$Present\text{ }value=payment\times \bigg[\dfrac{1}{r}-\dfrac{1}{r(1+r)^t}\bigg]$

In your problem you know:

Present value: $100,000
payment: $15,000
r: ?
t: 10

You cannot solve for r directly. You must guess a value and calculate the right side of the equation until to you find the rate that makes it equal to 100,000.

Try 5%:

$\$15,000\times \bigg[\dfrac{1}{0.05}-\dfrac{1}{0.05(1+0.05)^{10}}\bigg]=\$115,826$

Then, the rate of return is greater than 5%. After several trials you will find that the rate of return is 8.15%.

Since this rate is higher than 8%, which is what the company requires, this is a good investment.

5 0

3 years ago

20,18,13,17,18 find the mean,median and mode

Degger [83]

<h3>Answer:</h3>

Mean: 17.2

Median: 18

Mode: 18

<h3>Solution:</h3>

Mean: The sum of all observation divided by several observation

20+18+13+17+18=86
86÷5=
17.2

Median:it is the middlemost observation of data arraged in increasing or decreasing order of values

(13,17,18,18,20)
(17,18,18)
(18)

Mode:it is the value that occurs frequently in a set of data

(13 , 17 , 18 , 18 , 20)

Hope it helps

6 0

2 years ago

Read 2 more answers

a fish tank contains 18 goldfish and 22 guppies . if you randomly select 2 fish what is the probabilty that they are both goldfi

svlad2 [7]

2/40 I thinks asdfsdf

4 0

4 years ago

If 25 gallons of gasoline has been used after driving 700 miles,how many gallons of gasoline would be used after driving 1,000 m

joja [24]

35 ( I’ve done this question before, this is the right answer ! )

4 0

3 years ago