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3 years ago

Assume that y varies directly with

Mathematics

1 answer:

Galina-37 [17]3 years ago

5 0

Answer:

x = 4/3

Step-by-step explanation:

Direct variation:

y = kx

We use the given x-y point to find k.

6 = k * 2/3

k = 6 * 3/2

k = 9

The equation is

y = 9x

For y = 12,

12 = 9x

x = 12/9

x = 4/3

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WILL AWARD BRAINLIEST

Julli [10]

The given is that y varies directly with x:
y = xk
8 = 2k
k = 4

Now we know that the constant is 4. Make a new equation:

y = xk
y = 10(4)
y = 40

-T.B.

4 0

3 years ago

Read 2 more answers

Let g(x)x and h(x)<br> . Evaluate .

Maurinko [17]

9514 1404 393

Answer:

h(g(x)) = (1/5)x² +4/5

Step-by-step explanation:

$(h\circ g)(x)=h(g(x))=h(x^2+2) = \dfrac{(x^2+2)+2}{5}=\dfrac{x^2+4}{5}\\\\\boxed{(h\circ g)(x)=\dfrac{1}{5}x^2+\dfrac{4}{5}}$

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3 years ago

How is counting dollar bills like counting coins? how is it different ?

Dafna11 [192]

Answer:

well coins are smaller value i guess and dollars you have bigger numbers

4 0

3 years ago

Paul is saving for a down payment to buy a house. The account earns 13% interest compound quarterly, and he wants to have $15,00

Tatiana [17]

Answer:

The principal must be = $8991.88

Step-by-step explanation:

Formula for compound interest is:

$A = P(1 + \frac{r}{n})^{nt}$

Where A is the amount after 't' years.

P is the principal amount

n is the number of times interest is compounded each year.

r is the rate of interest.

Here, we are given that:

Amount, A = $15000

Rate of interest = 13 % compounded quarterly i.e. 4 times every year

Number of times, interest is compounded each year, n = 4

Time, t = 4 years.

To find, Principal P = ?

Putting all the given values in the formula to find P.

$15000 = P(1 + \frac{13}{400})^{4\times 4}\\\Rightarrow 15000 = P(1 + 0.0325)^{16}\\\Rightarrow 15000 = P(1.0325)^{16} \\\Rightarrow 15000 = P \times 1.66817253\\\Rightarrow P = \dfrac{15000}{1.66817253}\\\Rightarrow P \approx \$8991.88$

So, <em>the principal must be = $8991.88</em>

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3 years ago

Which table correctly shows all the sample spaces for tossing a coin and rolling an even number on a six-sided number cube?

kotykmax [81]

Tossing a coin would be 1/2 because a coin has two sides and it has 1 out of two sides to land on the side you want it to land on. So that answer is 1/2. The dice rolling on an even number on a six-sided number cube would be 3/6. Which if you simplify it, it would be 1/2. The answer to both of them is 1/2!

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4 years ago