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3 years ago

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Tomato plants $.40 each. Pepper plant $.35 each.Kevin wants to buy at least 20 plants for no more than $7.50.Let tomato plants =

x and pepper plants =y. Write a system of inequalities for both kinds of plants.

1 answer:

Vitek1552 [10]3 years ago

6 0

Answer:

10x and 10y

Step-by-step explanation:

.40×10=4

.35×10=3.5

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Looking to recieve help on this practice question, thank you!

dimaraw [331]

In general, the standard form of an ellipse is

$\begin{gathered} \frac{(x-h){}^2}{a^2}+\frac{(y-k)^2}{b^2}=1 \\ a,b,h,k\rightarrow\text{ constants} \\ (h,k)\rightarrow\text{ center} \end{gathered}$

Thus, in our case, complete the squares for x and y, as shown below

$\begin{gathered} 3x^2-12x=3(x^2-4x) \\ and \\ x^2-4x+c^2=(x-c)^2 \end{gathered}$

Finding c,

$\begin{gathered} \Rightarrow x^2-4x+c^2=x^2-2cx+c^2 \\ \Rightarrow-4x=-2cx \\ \Rightarrow c=2 \\ \Rightarrow3x^2-12x+3*4=3(x^2-4x+4)=3(x-2)^2 \end{gathered}$

Therefore, after adding +12 to both sides of the initial equation, we get,

$\begin{gathered} 3x^2+5y^2-12x+30y+42+12=12 \\ \Rightarrow3(x-2)^2+5y^2+30y+42=12 \end{gathered}$

Similarly, completing the square for the variable y,

$\begin{gathered} 5y^2+30y=5(y^2+6y) \\ \Rightarrow y^2+6y+c^2=(y-c)^2 \\ \Rightarrow y^2+6y+c^2=y^2-2cy+c^2 \\ \Rightarrow6=-2c \\ \Rightarrow c=-3 \end{gathered}$

Thus,

$\begin{gathered} \Rightarrow5y^2+30y+5*(-3)^2=5(y+3)^2 \\ \Rightarrow5y^2+30y+45=5(y+3)^2 \end{gathered}$

Therefore, after adding +45 to the initial expression

$\begin{gathered} \Rightarrow3(x-2)^2+5y^2+30y+42+45=12+45 \\ \Rightarrow3(x-2)^2+5(y+3)^2+42=57 \end{gathered}$

Then,

$\begin{gathered} \Rightarrow3(x-2)^2+5(y+3)^2=15 \\ \Rightarrow\frac{3(x-2)^2}{15}+\frac{5(y+3)^2}{15}=1 \\ \Rightarrow\frac{(x-2)^2}{5}+\frac{(y+3)^2}{3}=1 \end{gathered}$ <h2>The answer is the expression immediately above this line.</h2>

The center of the ellipse, its minor axis, and major axis are

$\begin{gathered} center\rightarrow(h,k)=(2,-3) \\ semi-minor\text{ axis}\rightarrow\sqrt{3} \\ semi-major\text{ axis}\rightarrow\sqrt{5} \end{gathered}$

7 0

1 year ago

A local pizza shop has a membership program for frequent buyers. The membership costs $5 per month and members get a discounted

Len [333]

Answer: Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices = 5+1.5x

Step-by-step explanation:

Let x = number of slices

As per given,

Total monthly cost for x slices = (membership cost) +(discounted price) ×(x)

i.e. Total monthly cost for x slices = 5+1.5x

If x=20

Then, Nazim have to pay = 5+1.5(20)

= 5+30= $35

i..e Nazim have to pay $35 for 20 slices of pizza.

Monthly cost for x slices = 5+1.5x

5 0

3 years ago

Simplify the algebraic expression<br> (5.3X+8.2Y) + (13.3y+4.1x)

DIA [1.3K]

5.3x + 8.2y + 13.3y + 4.1x
9.4x + 21.3y

3 0

3 years ago

Read 2 more answers

Kim has fraction 1 over 2 cup of almonds. She uses fraction 1 over 8 cup of almonds to make a batch of pancakes. Part A: How man

Serga [27]

Answer:

4

Step-by-step explanation:

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3 years ago

You start at (5, -3). You move down 2 units. Where do you end?

kompoz [17]

Answer:

(5, -5)

Step-by-step explanation:

when you move up or down you only change the y axis

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3 years ago