What's the vertex of the following equation<br> x2

Wylie is renting a bicycle from a local shop that charges $5 to rent a helmet, plus an hourly rate of $8.50 for the bike. For ho

KonstantinChe [14]

Idrk like I don’t but I do

7 0

3 years ago

The drama club is selling tickets to their play to raise money for the show's expenses.

Romashka [77]

Answer:

25

Step-by-step explanation:

Ticket sale (student) = $8

Ticket sale (adult) = $13

The hall can contain 70 people.

Number of adult tickets sold = 41

Cost of show = $730

Let the number of student ticket sold = x

Setting an algebraic equation to show represent the cost of the show and set minimum target of ticket to be sold.

730 = (41 * 13) + (x * 8)

730 = 533 + 8x

8x = 730 - 533

8x = 197

X = 197 / 8

x = 24.6 = 25

The minimum number of student tickets to be sold is 25

8 0

3 years ago

Select the correct answer from each drop-down menu. Quadrilateral PQRS, with vertex P(-5, -3), undergoes a transformation to for

anygoal [31]

Answer:

i) A. 180º rotation about the origin, ii) $Q' = (4, 5)$ .

Step-by-step explanation:

i) In this case, we understand that vertex $P = (-5,-3)$ changed to $P' = (5,3)$ after doing an operation. At first we must calculate the distance of each point regarding origin by Pythagorean Theorem:

Point P:

$OP = \sqrt{(x_{P}-x_{O})^{2}+(y_{P}-y_{O})^{2}}$

If we know that $x_{P} = -5$ , $y_{P} = -3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP$ is:

$OP = \sqrt{(-5-0)^{2}+(-3-0)^{2}}$

$OP \approx 5.831$

Point P':

$OP' = \sqrt{(x_{P'}-x_{O})^{2}+(y_{P'}-y_{O})^{2}}$

If we know that $x_{P'} = 5$ , $y_{P'} = 3$ , $x_{O} = 0$ and $y_{O} = 0$ , the distance $OP'$ is:

$OP' = \sqrt{(5-0)^{2}+(3-0)^{2}}$

$OP' \approx 5.831$

As $OP = OP'$ , origin is the center of rotation.

Besides, $P'$ is a multiple of $P$ , that is:

1) $(-5, -3)$ Given

2) $((-1)\cdot 5, (-1)\cdot 3)$ $(-a)\cdot b = -a\cdot b$

3) $(-1)\cdot (5, 3)$ Scalar multiplication of a vector/Result.

The value of the scalar proves that P experimented a 180º rotation about the origin. Hence, the correct answer is A.

ii) If $Q = (-4, -5)$ and the same operation described in item i) is used, then, the location of $Q'$ is:

$Q' = (-1)\cdot Q$

$Q' = (-1) \cdot (-4,-5)$

$Q' = ((-1)\cdot (-4), (-1)\cdot (-5))$

$Q' = (4, 5)$

Which corresponds to option C.

7 0

3 years ago

If $1,100 is deposited into a savings account offering 11% interest paid annually, approximately how much money will be in the a

Leona [35]

A=1,100×(1+0.11)^(10)
A=3,123.36

5 0

3 years ago

Read 2 more answers

Josh earns $2700 each summer and puts the money in a savings account with a 4.5% simple interest rate. If he deposits the same a

iragen [17]

Answer: Option 'B' is correct.

Step-by-step explanation:

Since we have given that

Amount Josh earn each summer = $2700

Rate of simple interest = 4.5%

According to question, he deposits the same amount each year.

First summer, he deposited = $2700

In Second summer, he deposited = $2700×2= $5400

In Third summer, he deposited = $2700 × 3=$8100

At the end of his third summer, his money becomes,

$\text{Simple Interest}=\frac{P\times R\times T}{100}\\\\\text{Simple Interest}=\frac{8100\times 4.5\times 1}{100}\\\\\text{Simple Interest}=\$364.5$

As we know the formula for "Amount" that it becomes at the end of his third summer:

$Amount=P+S.I\\\\Amount=\$8100+\$364.5\\\\Amount=\$8464.5$

Hence, Option 'B' is correct.

6 0

4 years ago

What's the vertex of the following equation x2 – 12x + 46