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2 years ago

5

On a coordinate grid, point P is at (5,2) and point R is at (-3,-4). Points Q and S are reflection of both points across the x-a

xis. What are the coordinates of Q and S

1 answer:

anzhelika [568]2 years ago

4 0

Answer:

C. Q(5,-2), S(-3,4)

Step-by-step explanation:

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Giving 100 points.

Nitella [24]

Answer:

1. <u>Cost per customer</u>: 10 + x

<u>Average number of customers</u>: 16 - 2x

$\textsf{2.} \quad -2x^2-4x+160\geq 130$

3. $10, $11, $12 and $13

Step-by-step explanation:

<u>Given information</u>:

$10 = cost of buffet per customer
16 customers choose the buffet per hour
Every $1 increase in the cost of the buffet = loss of 2 customers per hour
$130 = minimum revenue needed per hour

Let x = the number of $1 increases in the cost of the buffet

<u>Part 1</u>

<u></u>

<u>Cost per customer</u>: 10 + x

<u>Average number of customers</u>: 16 - 2x

<u>Part 2</u>

The cost per customer multiplied by the number of customers needs to be <u>at least</u> $130. Therefore, we can use the expressions found in part 1 to write the <u>inequality</u>:

$(10 + x)(16 - 2x)\geq 130$

$\implies 160-20x+16x-2x^2\geq 130$

$\implies -2x^2-4x+160\geq 130$

<u>Part 3</u>

To determine the possible buffet prices that Noah could charge and still maintain the restaurant owner's revenue requirements, solve the inequality:

$\implies -2x^2-4x+160\geq 130$

$\implies -2x^2-4x+30\geq 0$

$\implies -2(x^2+2x-15)\geq 0$

$\implies x^2+2x-15\leq 0$

$\implies (x-3)(x+5)\leq 0$

Find the roots by equating to zero:

$\implies (x-3)(x+5)=0$

$x-3=0 \implies x=3$

$x+5=0 \implies x=-5$

Therefore, the roots are x = 3 and x = -5.

<u>Test the roots</u> by choosing a value between the roots and substituting it into the original inequality:

$\textsf{At }x=2: \quad -2(2)^2-4(2)+160=144$

As 144 ≥ 130, the <u>solution</u> to the inequality is <u>between the roots</u>:

-5 ≤ x ≤ 3

To find the range of possible buffet prices Noah could charge and still maintain a minimum revenue of $130, substitute x = 0 and x = 3 into the expression for "cost per customer.

[Please note that we cannot use the negative values of the possible values of x since the question only tells us information about the change in average customers per hour considering an <em>increase </em>in cost. It does not confirm that if the cost is reduced (less than $10) the number of customers <em>increases </em>per hour.]

<u>Cost per customer</u>:

$x =0 \implies 10 + 0=\$10$

$x=3 \implies 10+3=\$13$

Therefore, the possible buffet prices Noah could charge are:

$10, $11, $12 and $13.

8 0

1 year ago

Set of real numbers list the set to which each number belongs??

Andre45 [30]

Answer:

all numbers natural,integer,rational,real algebra comes under real numbers

except the equations with alphabets

3 0

2 years ago

An online store receives customer satisfaction ratings between 000 and 100100100, inclusive. In the first 101010 ratings the sto

Monica [59]

Complete question is;

An online store receives customer satisfaction ratings between 0 and 100, inclusive. In the first 10 ratings the store received, the average (arithmetic mean) of the ratings was 75. What is the least value the store can receive for the 11th rating and still be able to have an average of at least 85 for the first 20 ratings?

Answer:

50

Step-by-step explanation:

We are told that In the first 10 ratings the store received arithmetic mean of the ratings = 75.

Thus;

Sum of the first 10 ratings = 75 × 10 = 750

Now, for the mean of the first 20 ratings to be at least 85, it means that the sum of the first 20 ratings would be; 85 × 20 = 1700

Thus, the sum of the next 10 ratings would be; 1700 − 750 = 950.

If maximum rating = 100, then the maximum possible value of the sum of the 12th to 20th ratings is given by;

9 × 100 = 900.

Now, in order to make the store have an average of at least 85 for the first 20 ratings, the least value for the 11th rating is;

950 − 900 = 50

7 0

3 years ago

C an somebody please tell me what 9+10 is?

Mekhanik [1.2K]

' 9 + 10 ' is a simple exercise in addition. Its solution is 19 .

There is junk floating around the internet saying that 9+10=21.
That statement is false, and the arithmetic is wrong.
The whole thing is a joke. If you ask someone to prove it, they will
perform a demonstration with Roman numerals, but the way they handle
the Roman numerals is itself defective, and they're hoping you won't notice.

5 0

3 years ago

I need help ! asap !

kotegsom [21]

Answer:

52

Step-by-step explanation:

A(2) + B(2) = C(2)

10(2) + 24(2)

676 = C(2)

square root of 676

AC=26 BD=26

AC + BD

26 + 26 =

52

Hope this helps

6 0

3 years ago