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dem82 [27]
3 years ago
13

What happens to the value of the expression 3 y over 2 y as y increases

Mathematics
1 answer:
vladimir1956 [14]3 years ago
8 0
It starts becoming bigger :)
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A farmer wants to use 200 feet of fencing for a chicken pen. He wants the width of the pen to be 20 feet. What is the length of
Aneli [31]
The length should be 80 feet.

This is because the width is 20, since there are two sides for the width in a pen, we have to add 20+20. This would equal 40. Then we need to subtract 40 from 200. 200-40 would be 160. Then since there are two sides for the length, we need to split that in half. 160÷2 would be 80. To double check, you can do 80+80 and that would still be 160. So the length of one side would be 80. But of course, this whole thing would only be right if the pen has four sides(but since i have seen many chicken pens, there were all rectangular). I hope this helped! :)
7 0
2 years ago
Who is the father of modern Biology?<br>​
telo118 [61]
Aristotle
Hope this helps
5 0
2 years ago
Read 2 more answers
Find the nature of the root
GREYUIT [131]

Answer:

1) Real and same.

2) Real and distinct

3) Real and distinct

4) Real and distinct

5) Real and distinct

6) Real and distinct

7) Real and distinct

8) Real and distinct

Step-by-step explanation:

If a quadratic equation is in the form of ax² + bx + c = 0, then Discriminant of the equation D = b² - 4ac, which governs the nature of roots the equation has.

If D > 0, then there will be two different real roots.

If D = 0, then two same and real roots.

If D < 0, then two distinct but imaginary roots.

Now, 1) x² + 6x + 9 = 0 has D = 6² - 4 × 9 × 1 = 0. So, there will be two same and real roots.

2) 5x² - x = 4x² + 2

⇒ x² - x - 2 = 0

It has D = (-1)² - 4 × 1 × (-2) = 9. Therefore, the roots will be two distinct and real.

3) \frac{2}{x} + \frac{3}{x} = x - 4

⇒ 5 = x² - 4x

⇒ x² - 4x - 5 = 0.

So, D = (-4)² - 4 × (1) × (- 5) = 36. So, the equation has two real and distinct rools.

4) x(x - 5) = 4(5 - x)

⇒ x² - x - 20 = 0

Hence, D = (-1)² - 4 × 1 × (-20) = 81

So, the roots will be real and distinct.

5) x² + 7x + 1 = 0 has D = 7² - 4 × 1 × 1 = 45

So, the roots will be real and distinct.

6) 2x² + 9x + 3 = 0, has D = 9² - 4 × 2 × 3 = 57.

Hence, the roots will be real and distinct.

7) 5x² - 6 = 13x

⇒ 5x² - 13x - 6 = 0

So, D = (-13)² - 4 × 5 × (-6) = 289

So, the roots will be real and distinct.

8) x² - x = 3(x + 7)

⇒ x² - 4x - 21 = 0

It has D = (-4)² - 4 × 1 × (-21) = 100

So, the roots will be real and distinct. (Answer)

6 0
3 years ago
A school is selling tickets to a drama performance. On the first day of ticket sales the school sold 3 adult tickets and 1 child
baherus [9]

Answer:

System of linear equations

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

a: adult ticket price and c: child ticket price

Step-by-step explanation:

This system of equations can be used to find the price of the adult and child tickets.

We have two equations (one for each day) and two unknowns (adult ticket price and child ticket price).

Let a: adult ticket price and c: child ticket price,

we have for the first day that 3 adult tickets and 1 child ticket adds $38:

3a+1c=38

and for the second day we have that 2 adult tickets and 2 child tickets adds $52:

3a+2c=52

If we write this as a system of equations, we have:

\left\{\begin{matrix} 3a+c=38 \\\\   3a+2c=52 \end{matrix}\right.

4 0
2 years ago
The system of equations y = - 2x + 3 and y = xis graphed. What is the solution to the system of equations ?
nata0808 [166]

Answer:

(1,1)

Step-by-step explanation:

we have

y=-2x+3 ----> equation A

y=x ----> equation B

we know that

The solution of the system of equations is the intersection point both graphs

The intersection point both graphs is the point (1,1)

see the given graph

therefore

The solution is the point (1,1)

Remember that

if a ordered pair is a solution of a system of equations then the ordered pair must satisfy both equations of the system

<u><em>Verify</em></u>

Substitute the value of x=1 and y=1 in each equation and analyze the result

<em>Equation A</em>

1=-2(1)+3

1=1 ---> is true

so

The ordered pair satisfy the equation A

<em>Equation B</em>

1=1 ---> is true

so

The ordered pair satisfy the equation B

therefore

The ordered pair (1,1) is a solution of the system because satisfy both equations

5 0
2 years ago
Read 2 more answers
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