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Solnce55 [7]
3 years ago
9

Graph

Mathematics
2 answers:
SIZIF [17.4K]3 years ago
5 0

Answer:

a} C’(4, –2)

Step-by-step explanation:

i took the test

Agata [3.3K]3 years ago
4 0
4,-2 because abc is translated into 6 units to eighth and 1 up
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PLS HALP MEH<br>I DONT GET IT <br>EASY 5 POINTS!!<br>​
never [62]

I hope this helps with solving. The steps are kinda on the side. The final answers are HOT DOGS = $3.28

VEGGIE BURGERS = $3.55

3 0
2 years ago
/// WORTH 70 points /// ASAP ////
belka [17]

A community is developing plans for a pool and hot tub. The community plans to form a swim team, so the pool must be built to certain dimensions. Answer the questions to identify possible dimensions of the deck around the pool and hot tub.


Part I: The dimensions of the pool are to be 25 yards by 9 yards. The deck will be the same width on all sides of the pool. Including the deck, the total pool area has a length of (x + 25) yards, and a width of (x + 9) yards.

Write an equation representing the total area of the pool and the pool deck. Use y to represent the total area. Hint: The area of a rectangle is length times width. (1 point)

y = (x+25)(x+9)


Rewrite the area equation in standard form. Hint: Use the FOIL method. (1 point)


y = x^2 + 9x + 25x + 9(25)


y = x^2 +34x + 225


Rewrite the equation from Part b in vertex form by completing the square. Hint: Move the constant to the other side, add to each side, rewrite the right side as a perfect square trinomial, and finally, isolate y. (4 points: 1 point for each step in the hint)


y-225 = x^2 +34x


y-225 + 17^2 = x^2 +34x + 17^2


y-225 + 289 = (x+17)^2


y = (x+17)^2 - 64


What is the vertex of the parabola? What are the x- and y-intercepts? Hint: Use your answer from Part a to identify the x-intercepts. Use your answer from Part b to identify the y-intercept. Use your answer from Part c to identify the vertex. (4 points: 1 point for each coordinate point)

The vertex is where the squared term is zero, x=-17 , y =-64, (-17,-64)


The y intercept is y at x=0, so (0,225)


The x intercepts are the zeros; so at x=-25 and x=-9, aka (-25,0), (-9,0)


Graph the parabola. Use the key features of the graph that you identified in Part d. (3 points)


[Plot the points we generated and connect the dots. I'll leave the graphing to you]

In this problem, only positive values of x make sense. Why? (1 point)

<em>x</em> is the width of the pool edge; it must be positive.


What point on your graph shows a total area that includes the pool but not the pool deck? (1 point)


x=0, y=225 i.e. (0,225)



The community decided on a pool area that adds 6 yards of pool deck to both the length and the width of the pool. What is the total area of the pool and deck when x = 6 yards? (2 points)


(9+6)(25+6)=15(31)=465



Part II: A square hot tub will be placed in the center of an enclosed area near the pool. Each side of the hot tub measures 6 feet. It will be surrounded by x feet of deck on each side. The enclosed space is also square and has an area of 169 square feet. Find the width of the deck space around the hot tub, x.

Step 1: Write an equation for the area of the enclosed space in the form y = (side length)2. Hint: Don't forget to add x to each side of the hot tub. (1 point)



y=(x+6)(x+6)=(x+6)^2



Step 2: Substitute the area of the enclosed space for y in your equation. (1 point)


169 = (x+6)^2


Step 3: Solve your equation from Part b for x. (3 points)


x + 6 = \pm \sqrt{169}


x = -6&#10; \pm 13


x= 7 \quad \textrm{ or } \quad x= -19


Step 4: What is the width of the deck around the hot tub? Hint: One of the answers from Part c is not reasonable. (1 point)


Only the positive root works,


x=7 feet


5 0
3 years ago
29. Island Rent-a-Car charges a car rental fee of $40
Kitty [74]

Answer:

Hence When the rental fees for Fraction of an hours will be less than 6 it will work given condition.

Step-by-step explanation:

Given:

Two rental fees as

Island rent car fees 40+5h

Wheels rent car fees as 25+7.5h

To Find:

Under what   conditions does it cost less to rent from Island   Rent-a-Car

Solution:

Condition to solve is that cost less than rent of Island rent

So Cost equation for island rent is

40+5h and

For Wheels rent it is

25+7.5h

By given condition,

40+5h

i.e   25+7.5h >40+5h

7.5h-5h>40-25

2.5h>15

h>15/2.5

h> 6

Hence When the rental fees for Fraction of an hours will be less than 6 it will work given condition.

7 0
3 years ago
A bicycle manufacturing company makes a particular type of bike. Each child bike requires 4 hours to build and 4 hours to test.
Shtirlitz [24]

Answer:

I'm sorry I have no clue I'm not that smart but I would just like to say that I like your profile picture

4 0
2 years ago
Read 2 more answers
The school assembly had 30 students in attendance and 20% of them were first graders. how many first graders were at the assembl
cestrela7 [59]

Answer:

The answer is 6. 6 of them are first graders

Step-by-step explanation:

30 * .2 (20%=.20) = 6

3 0
3 years ago
Read 2 more answers
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