Valentina's family is planning to have a party for her quinceanera. They are considering two different locations to rent for her party. Casa Lucia charges a $200 one-time rental fee plus $500 per hour. The Silver Fox charges $200 per hour plus a $1,100 one-time rental fee. Explain what the solution to the system of equations represents in this real-world context.

Answer:

[tex](x - (-4))^2 = -8(y - (-3))[/tex]

[tex]Where\ p<0[/tex]

Step-by-step explanation:

From the question we are told that:

Parabola  focus co-ordinates

[tex]F=(-4, -5)\\Directrix is y = -1[/tex]

Generally the equation for standard form of Parabola is mathematically given by

[tex](x - h)^2 = 4p(y - k)[/tex]

where p≠ 0

Generally the equation for Directrix of Parabola is mathematically given by

[tex]y=k-p\\y=-1[/tex]

Generally the equation for Focus of Parabola F is mathematically given by

[tex]F=(h, k + p).[/tex]

[tex]F=(-4, -5)[/tex]

Therefore

[tex]k-p=-1[/tex]

[tex]k=-1+p[/tex]

Given

[tex]k+p=-5[/tex]

[tex]-1+p+p=-5[/tex]

[tex]2p=-4[/tex]

[tex]p=-2[/tex]

Therefore

[tex]k-p=-1[/tex]

[tex]k-(-2)=-1[/tex]

[tex]k=-3[/tex]

Generally the equation for standard form of Parabola is mathematically given by

[tex](x - (-4))^2 = 4(-2)(y - (-3))[/tex]

[tex](x - (-4))^2 = -8(y - (-3))[/tex]

[tex]Where p<0[/tex]

Answer:

step 2

Step-by-step explanation:

Answer:

Step 3

(as a result step 4 is also wrong)

Step-by-step explanation:

22 is wrong

It should be 16 + 18

Entire solution is given below:

[tex]28 \div 7 \times 4 + 18 \\ \\ = 4 \times 4 + 18 \\ \\ = 16 + 18 \\ \\ = 34[/tex]

Answer:

a) Please find attached the required travel graph with times increasing from (0:00) of the day of travel to the following day

b) The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h

Step-by-step explanation:

The given information includes;

The time of departure of the salesman, t₁ = 0800

The duration of travel of the salesman = 13 hours

The average speed with which the salesman travels = 60 km/h

The time duration in which he stops = 30 minutes

The speed with which he continues = 50 km/h

The time duration he travels at 50 km/h = 2 hours

The time he arrives home after he turns, t₂ = 16:00

The appropriate graph is a distance time graph

So as to show the given information in a travel graph, we calculate the distances as follows;

Time   [tex]{}[/tex]                                                                     Location

08:00   [tex]{}[/tex]                                                                   0

08:00 + 13 = 21:00  [tex]{}[/tex]                                                13 × 60 = 780

21:00 + 0.30 = 21:30  [tex]{}[/tex]                                             780

21:30 + 2:00 = 23:30  [tex]{}[/tex]                                            780 + 50 × 2 = 880

23:30 + 1:00 = 0:30 (24: hours )   [tex]{}[/tex]                          880

16:00  [tex]{}[/tex](40 hours from 0:00 the previous day)  

Therefore, we have;

Location; 0, 780, 780, 880, 880, 0

Time; 08:00, 21:00, 21:30, 23:30, 24:30, 40:00

To show the distance traveled over the given time periods graphically, we let 00:30 = 24.30 and the arrival time (the next day) 16:00 = 40.00 hours after midnight (0:00) the previous day                

Please find attached the required travel graph created with Microsoft Excel

b) The average speed of return journey = (Total distance of return journey)/(Total time)

The total distance going = 880 km

Therefore the return journey is also 880 km

∴ The total time taken on return journey Δt = (Time at arrival home) - (Time of start of return journey)

∴ Δt = 40 - 24.5 = 15.5

Δt = 15.5 hour

∴ The average speed of return journey = 880 km/(15.5 h) ≈ 56.77 km/h.  

Answer and Step-by-step explanation:

How to know if the side lengths can form a triangle:

Add together two of the lowest numbers. If it is greater than the largest number, it can form a triangle.

13. Yes, these side lengths can form a triangle.

-- 4 + 5 = 9.

-- 9 is greater than 7, the largest length.

14. No, these side lengths can't form a triangle.

-- 2 + 3 = 6

-- 6 is equal to 6, not greater than.

15. Yes, these side lengths can form a triangle.

-- 2 + 4 = 6

-- 6 is greater than 5, the largest number.

16. Yes, these side lengths can form a triangle.

-- Don't get confused when you see that there are two side lengths that are the same (it means that this is an isosceles triangle); the rules still apply.

-- 2 + 8 = 10

-- 10 is greater than 8, the largest number.

17. Yes, these side lengths can form a triangle.

-- 5 + 6 = 11

-- 11 is greater than 9, the largest number.

18. Yes, these side lengths can form a triangle.

-- 4 + 5 = 9

-- 9 is greater than 8, the largest number.

I hope this helps!!

#teamtrees #PAW (Plant And Water)

Answer:

153.94 inches cubed

Step-by-step explanation:

plug in 7 as the radius

the formula is A = πr^2

Answer:

v = -6

Step-by-step explanation:

(Optional):  Simplify this equation by dividing all terms by 4:

2v - (v - 8) = 2

Perform the indicated multiplication, obtaining:  2v - v + 8 = 2

Next, combine like terms:  v = -6

Answer:

15x²

Step-by-step explanation:

Given

f(x) = 5x² , then

3f(x) = 3 × 5x² = 15x²

Answer:

37.69cm i might be wrong, u gonna have to check

Step-by-step explanation:

Answer:

(a). 7√2

Step-by-step explanation:

Answer:

13

Step-by-step explanation:

Since the X points { (-4, -15), (-4, -2) } are the same, its just a matter of 15-2, which equals 13.

Answer:

x       Y

0   -     0

1     -   5

2   -     10

Step-by-step explanation:

First box is 0

next is 5

the last is 10

Answer:

AC = 28

Step-by-step explanation:

ΔADB ≈ ΔDBC

DC / BC = AD / 15

16 / 20 = AD / 15

cross-multiply:

20AD = 240

AD = 12

AD + DC = AC

12 + 16 = AC

28 = AC

Answer:

no association because they all are in plcace

Answer:

6,y,5,

5,7,1,9,0 ok

tjis is a anwers

This question is an illustration of multiplication of fractions. The amount of eaten by Leroy's brother is [tex]\frac 16[/tex]

Given that:

[tex]L = \frac 14[/tex] ----- The left over

[tex]F = \frac 23[/tex]  ----- The fraction eaten by Leroy's brother

The fraction of the whole cake (B) eaten by Leroy's brother is:

[tex]B = L \times F[/tex]

So, we have:

[tex]B = \frac 14 \times \frac 23[/tex]

Cancel out common terns

[tex]B = \frac 12 \times \frac 13[/tex]

[tex]B = \frac 16[/tex]

Hence, Leroy's brother ate [tex]\frac 16[/tex] of the whole cake

Learn more about multiplication of fractions at:

https://brainly.com/question/1928793

Answer:

No, this is not a correct amount. The correct amount is $203.88

Step-by-step explanation:

The computation of the credit card amount is shown below:

Given that

The credit card is $220.87

But if we calculate the credit card amount, so it would be

= 12 months × 16.99

= $203.88

hence, the credit amount is $203.88

And, the given amount is wrong

So, the correct amount is $203.88

Answer:

No, 5 isn't a solution to 7x - 4 + x = 12

Step-by-step explanation:

7x - 4 + x = 12

combine common x-values

8x - 4 = 12

add

8x = 16

solve for x

x = 2

Answer:

No, 5 is not the solution...

Step-by-step explanation:

7x-4+x=12

7x+x=12+4

8x=16

x=16/8

x=2  is the solution

Answer:

B

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

Answer: C (depends on what order it’s in)

Step-by-step explanation:

40/42 × 8,262

=7868.571429

=7869 students studied

Answer:

5

Step-by-step explanation:

Answer: C

Step-by-step explanation:

All the numbers are 78, 80, 83, 84, 84, 86, 89, 91, 95, 100. That’s because for each row, you take the number in the first column, and create each score by putting one of the numbers in the second column next to the first number. The median is the number in the middle if you were to put them out in order. I already listed the numbers in order, and the middle numbers are 84 and 86, so the find the middle of those, you add them together and divide by 2. You get 85, a.k.a. option C.

Answer:

12

Step-by-step explanation:

From the above-given multiples of 4 and 6 is the multiple 12 is the smallest common multiple. Therefore, LCM. of 4 and 6 is 12.

Answer:

c) 6 ft

Step-by-step explanation:

3^2+5^2 = 9+25 = 34

sqrt34 = approx 6

Answer:

x=0,-7

Step-by-step explanation:

Answer:

-7

Step-by-step explanation:

see you have to add something that equalles 0 so any questions like this you put a negitive infront of the 7.

Answer:

2x - 7y = -34.

Step-by-step explanation:

As the line we want is perpendicular to y= -7/2 x + 9 it's slope will be

-1 /(-7/2) = 2/7.

Now we find the point of intersection ofn the 2 given  lines:

x    + y = 10

3x - 4y = -12

Multiply the first equation by -3:

-3x - 3y = -30

Now add this last equation to the second one:

-7y =  -42

y = 6

Plug y = 6 into the first equation:

x + 6 = 10

x = 4.

So the point of intersection is (4, 6) and the equation we want passes through this, so using the point-slope form of  straight line we have:

y - 6 = 2/7(x - 4)

7y - 42 = 2(x - 4)

7y - 42 = 2x - 8

2x - 7y = -42 + 8

2x - 7y = -34

Answer:

y=(2/7)x+(7/3)

Step-by-step explanation:

y=-7/2(x)+9

y=mx+c

Therefore, slope of line y is -7/2

Because line y perpendicular to the required line

Therefore, slope of the required line is 2/7

x+y=10 ........(1)

3x-4y = -12 ......(2)

(1) x 4:

4x+4y =40 ......(3)

(3) + (2)

4x+4y+3x-4y=28

x=4

by substituting x=4 into (1), we have

y=10-4=6

Therefore, the point that the line intersects is (4, 6)

let y=(2/7)x+c be the required equation

(4, 6):

6=(2/7)4+c

c=21/4

therefore, the required equation is y=(2/7)x+(7/3).

Answer:

$3072

Step-by-step explanation:

The compound interest formula for the amount paid on the loan P = P₀(1 + rt/100) where P₀ = loan amount = $32,000, r = rate = 4.8 % per annum and t = time

For the 3 year loan, t = 3, So,

P = P₀(1 + rt/100)

P = $32,000(1 + 4.8 × 3/100)

P = $32,000(1 + 14.4/100)

P = $32,000(1 + 0.144)

P = $32,000(1.144)

P = $36608

For the 5 year loan, t = 5, So,

P' = P₀(1 + rt/100)

P' = $32,000(1 + 4.8 × 5/100)

P' = $32,000(1 + 24/100)

P' = $32,000(1 + 0.24)

P' = $32,000(1.24)

P' = $39680

So, the amount more Miranda pay for the 5 year loan than the 3 year loan is P' - P = $39680 - $36608 = $3072

In 3 years Miranda would pay $36,832.72.

In 5 years Miranda would pay $40,453.53.

Answer:

- 9q² - 3q - 6

Step-by-step explanation:

3C - 3D

= 3(q² - 2 + q) - 3(3q² + 2q) ← distribute parenthesis

= 3q² - 6 + 3q - 9q² - 6q ← collect like terms

= - 9q² - 3q - 6

The required expression is - 9q² - 3q - 6 which equals 3C - 3D in standard form.

Expressions are defined as mathematical statements that have a minimum of two terms containing variables or numbers.

The expression is given in the question as follows:

3C - 3D  ....(i)

We have to determine the resultant expression that could represent the standard form.

As per the question, we have the equations

C = q² - 2 + q and D = 3q² + 2q

Substitute these equations into the expression (i):

3(q² - 2 + q) - 3(3q² + 2q)

Apply the distributive property of multiplication,

3q² - 6 + 3q - 9q² - 6q

Combine the likewise terms in the above expression,

- 9q² - 3q - 6

Thus, the resultant expression is - 9q² - 3q - 6.

Learn more about Expressions here :

brainly.com/question/21751419

#SPJ2

Answer:

17.6

Step-by-step explanation: