The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4).Which coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis?

A.
Qꞌ(−1, −2), Rꞌ(−3, −2), Sꞌ(−2, −4)

B.
Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4)

C.
Qꞌ(2, 1), Rꞌ(2, 3), Sꞌ(4, 2)

D.
Qꞌ(2, −4), Rꞌ(6, −4), Sꞌ(4, −8)

Answers

Answer 1

Answer: The vertices of triangle QRS have coordinates Q(1, −2), R(3, −2), and S(2, −4). The coordinates are the coordinates of the vertices of triangle QꞌRꞌSꞌ when triangle QRS is reflected across the x-axis Qꞌ(1, 2), Rꞌ(3, 2), Sꞌ(2, 4). The answer is letter B.

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Write an exponential function to model the situation. A population of 470 animals decreases at an annual rate of 12%.

Answers

The exponential function that models the following situation is given as follows:

$A(t) = 470(0.88)^t$

What is an exponential function?

A decaying exponential function is modeled by:

$A(t) = A(0)(1 - r)^t$

In which:

A(0) is the initial value.

r is the decay rate, as a decimal.

In this problem:

The initial population is of 470 animals, hence A(0) = 470.

It decreases 12% a year, hence r = 0.12.

Then, the equation is given by:

$A(t) = A(0)(1 - r)^t$

$A(t) = 470(1 - 0.12)^t$

$A(t) = 470(0.88)^t$

More can be learned about exponential functions at brainly.com/question/25537936

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$\bf \qquad \textit{Amount for Exponential Decay}\n\nA=P(1 - r)^t\qquad \begin{cases}A=\textit{accumulated amount}\nP=\textit{initial amount}\to &470\nr=rate\to 12\%\to (12)/(100)\to &0.12\nt=\textit{elapsed time}\n\end{cases}\n\n\nA=470(1-0.12)^t\implies A=470(0.88)^t$

Factorise this
72-6x

Answers

72-6x Factorised is 6(12+-1x)

The fraction 9/15 is an equivalent fraction of

6/20

1/2

3/5

Answers

Answer:

3/5

Step-by-step explanation:

3/5 is equal to 9/15.

$\implies {\blue {\boxed {\boxed {\purple {\sf { C. \: (3)/(5) }}}}}}$

$\large\mathfrak{{\pmb{\underline{\red{Step-by-step\:explanation}}{\red{:}}}}}$

➺ $\: (9)/(15)$

➺ $\: (3 * 3)/(3 * 5)$

➺ $\: (3)/(5)$

The fraction $\: (9)/(15)$ is an equivalent fraction of $\: (3)/(5)$ .

$\large\mathfrak{{\pmb{\underline{\orange{Mystique35 }}{\orange{❦}}}}}$

A doctor is examining three patients. Which sysmptoms do all three patients have in common?A) {headaches, hair loss, congestion}
B) {cold sweats, congestion, memory loss}
C) {spasms, memory loss, appetite}
D) {fever, joint pain, tiredness}

Answers

A because it says congestion in it and B because it says congestion in it and it says what do they have in common.

The sum of two numbers is 67. The larger number is 4 more than 2 times the smaller. What are the two numbers?a) 23 and 44
b) 21 and 46
c) 19 and 48
d) 17 and 50

Answers

x,y - two numbers (x > y)

(1) x + y = 67 ⇒ x = 67 - y
(2) x - 4 = 2y

subtitute (1) to (2)

67 - y - 4 = 2y
63 - y = 2y |add y to both sides
63 = 3y |divide both sides by 3
y = 21

subtitute the value of y to (1)

x = 67 - 21 = 46

Answer: 21 and 46.

Using technology, we determined that Mary’s investment account can be modeled by the function, M(x) = 4.96(2.18)x in thousands of dollars. What was Mary’s initial investment?

Answers

Answer:

$4960.

Step-by-step explanation:

We have been given that Mary’s investment account can be modeled by the function, $M(x)=4.96(2.18)^x$ in thousands of dollars. We are asked to find Mary's initial investment.

We can see that the given function is an exponential function where, initial value is 4.96 and growth factor is 2.18.

Since the function given Mary's investment in thousands of dollars, so we need to multiply 4.96 by $1000.

$\text{Mary's initial investment}=4.96* \$1000$

$\text{Mary's initial investment}=\$4960$

Therefore, Mary's initial investment was $4960.

well, her initial investment happened at day 0, namely x = 0, let's check,

$\bf M(x)= 4.96(2.18)^x\qquad \boxed{x=0}\qquad M(0)= 4.96(2.18)^0 \n\n\n M(0)= 4.96(1)\implies M(0)=4.96$

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