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2 years ago

7

is planning a rectangular rose garden. The garden will be 204 roses wide and 18 roses long. He has 3,600 roses. Does he have eno

ugh roses to make the garden? Explain.

2 answers:

Evgesh-ka [11]2 years ago

6 0

Answer:

no, he is short 72 roses

Step-by-step explanation:

to find this out, we need to find out the area of the planned garden, we do this by multiplying width by length as shown

18 * 204 = 3,672

then we subtract the number of roses from the planed garden area

3,672 - 3,600 = 72

meaning that we are left with 72 spots missing or without a rose

astra-53 [7]2 years ago

6 0

Answer:

7,272

Step-by-step explanation:

204x18=3,672+3,600=7,272

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Write a quadratic function, in standard form, that fits the set of points. Solve it as a system of three equations. (-4, 9), (0,

Tresset [83]

Answer:

$\boxed{y=2x^2+4x-7}$

Step-by-step explanation:

Let the quadratic function be

$y=ax^2+bx+c$

We substitute $(-4,9)$ into the equation to obtain;

$9=a(-4)^2+b(-4)+c$

$\Rightarrow 9=16a-4b+c---(1)$

We substitute $(0,-7)$ to obtain;

$-7=a(0)^2+b(0)^2+c$

$\Rightarrow c=-7---(2)$

We finally substitute $(1,-1)$ to obtain;

$-1=a(1)^2+b(1)^2+c$

$\Rightarrow -1=a+b+c---(3)$

We put equation (2) into equation (1) to get;

$9=16a-4b-7$

$16a-4b=16$

$\Rightarrow 4a-b=4---(4)$

$\Rightarrow -1=a+b-7$

$\Rightarrow a+b=6---(5)$

We add equation (4) and (5) to get;

$4a+a=6+4$

$\Rightarrow 5a=10$

$\Rightarrow a=2$

We put $a=2$ into equation (5) to get;

$2+b=6$

$\Rightarrow b=6-2$

$\Rightarrow b=4$

The reqiured quadratic function is

$y=2x^2+4x-7$

7 0

2 years ago

-12 + 8a = -a + 6(2a - 2)

pogonyaev

Answer:

41/6

Step-by-step explanation:

-12+81=-1+6(2a-2)

first distribute:

-12+81=-1+12a-12

combine like terms:

<u>-12+81</u>= <u>-1</u>+12a<u>-12</u>

69=-13+12a

add -13 with 69:

82=12a

divide 82 and 12:

82/12= 41/6

3 0

2 years ago

Read 2 more answers

Solve the absolute value inequality: |x + 12| + 5 < 27 Isolate the absolute value by subtracting 5 from both sides.

Feliz [49]

Answer:

- 34 < x < 10

Step-by-step explanation:

Inequalities of the type | x | < a, always have a solution of the form

- a < x < a

given | x + 12 | + 5 < 27 ( subtract 5 from both sides )

| x + 12 | < 22, then

- 22 < x + 12 < 22 ( subtract 12 from all 3 intervals )

- 34 < x < 10

8 0

3 years ago

Read 2 more answers

Diego had $21.32 and gave $9.50 to Elena. How much did he have left?

Charra [1.4K]

Answer:

11.82

Step-by-step explanation: I know this because 21.32-9.50= 11.82

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3 years ago

A video game store allows customers to rent games for 4.75 each. Customers can also buy a membership for $54 annually, and video

ankoles [38]

Answer:

24 video games

Step-by-step explanation:

Let x represent number of video games.
We have been given that a video game store allows customers to rent games for $4.75 each. So the cost of renting x video games would be 4.75x.

We are also told that customers can also buys a membership for $54 annually, and video games would only cost $2.50 each. The cost of renting x video games after membership would be 2.50x + 54

To find the number of video-games that will cost same for both options, we will equate both expressions as:

4.75x = 2.50x + 54
4.75x - 2.50x = 2.50x - 2.50x + 54

Therefore, a customer would have rent 24 video games in a year in order for the two options to be equal.

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2 years ago