Which expressions have a value equal to −22 ?

What is your favorite anime and your favorite character from that anime? (Free Points)

lubasha [3.4K]

Thanks for the points

6 0

3 years ago

The vertex of the parabola below is at the point (2, 4), and the point (3, 6) is on the parabola. what is the equation of the pa

Paraphin [41]

Given:

Vertex ===> (h, k) (2, 4)

The parabola passes through the point: (x, y) ==> (3, 6)

Let's find the equation of a parabola.

To find the equation, use the general equation of a parabola with vertex (h, k):

$y=a(x-h)^2+k_{}$

Where:

(h, k) ==> (2, 4)

(x, y) ==> (3, 6)

Substitute values into the general equation:

$\begin{gathered} 6=a(3-2)^2+4 \\ \\ 6=a(1)^2+4 \\ \\ 6=a+4 \end{gathered}$

Subtract 4 from both sides:

$\begin{gathered} 6-4=a+4-4 \\ \\ 2=a \\ \\ a=2 \end{gathered}$

Substitute 2 for a, and input the values of the vertex (h, k) in the general vertex equation:

$y=2(x-2)^2+4$

Therefore, the equation of the parabola is:

$y=2(x-2)^2+4$

ANSWER:

$y=2(x-2)^2+4$

3 0

1 year ago

2. Writing a set in Roster Method means you list the elements of sets inside the braces separated by commas; while writing the s

ra1l [238]

The sets can either be presented in set builder form or roaster form. The

given sets presented in the required form are;

a. The set B is the set of days in the week that starts with letter S

Therefore;

The elements of B are; Saturday, Sunday

In roster method, we have; B = {Saturday, Sunday}

In set builder notation, we have; B = {x | x is a days in the week that starts with letter S}

b. C is the set of letters in PHILIPPINES

In roster form, we have; C = {P, H, I, L, I, P, P, I, N, E, S}

In set builder notation, we have; C = {Letters in the word PHILLIPINES}

Learn more here:

brainly.com/question/13642904

6 0

2 years ago

Find the measurement

Igoryamba

Answer:

RS = 2.4 cm

Step-by-step explanation:

given:

ST = 1.6cm

RT = 4 cm

RS + ST = RT

plugin values into the equation:

RS + 1.6 = 4

RS = 4 - 1.6

RS = 2.4 cm

3 0

3 years ago

. Consumer Awareness In 1986, the average cost of a new midsize four-door sedan was $9000. In 1991, the average cost was $12,000

eduard

Answer-

$\boxed{\boxed{y=9000(1.0592)^x}}$

And cost of a car in the year 2000 will be $20134.18

Solution-

Let's assume,

x = number of years after 1986

y = average cost of sedan in dollar

The exponential model that will model the scenario will be in the form of,

$y=ab^x$

where a and b are constants

As given that, in 1986 average cost of sedan was $9000 and in 1991 average cost of sedan was $12000

So, the points (0, 9000) and (5, 12000) will satisfy or lie on the exponential curve.

Putting (0, 9000) in the equation,

$\Rightarrow 9000=ab^0$

$\Rightarrow a\times 1=9000$

$\Rightarrow a=9000$

Now, the equation becomes $y=9000b^x$

Putting (5, 12000) in this equation,

$\Rightarrow 12000=9000b^5$

$\Rightarrow b^5=\dfrac{12000}{9000}$

$\Rightarrow b=\sqrt[5]{\dfrac{4}{3}}$

$\Rightarrow b=1.0592$

Putting the values,

$y=9000(1.0592)^x$

As we have to calculate the cost of sedan in 2000, so putting x=14(as 2000-1986=14),

$y=9000(1.0592)^{14}=20134.18$

Therefore, cost of a car in the year 2000 will be $20134.18

8 0

3 years ago