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3 years ago

Which function represents the graph below?

Mathematics

2 answers:

arsen [322]3 years ago

5 0

Answer:

pretty sure its the second one

explanation:

i know that the third one is incorrect

poizon [28]3 years ago

4 0

The inequalities all need to be of the form a < x ≤ b. Only the first selection matches that requirement.

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a farmer is buying fencing to surround a square field of area 3600m^2. What length of fencing does he need to buy?

kirill115 [55]

Answer:

240 m

Step-by-step explanation:

The area of a square field is 3600 m².

We need to find the length of fencing he needs to buy. It means we need to find the perimeter of the field.

The area of a square field is given by :

A = side²

So,

$s=\sqrt{3600} \ m\\\\s=60\ m$

Length of fencing = perimeter

= 4(s)

= 4(60)

= 240 m

So, he would need to buy 240 m of fencing.

8 0

2 years ago

Simplify the radical

mamaluj [8]

Answer:

$9d^3$

Step-by-step explanation:

$~~~\sqrt{81 d^6}\\\\=\left(81 d^6 \right)^{\tfrac 12}\\\\=\left(81\right)^{\tfrac 12} \cdot \left(d^6 \right)^{\tfrac 12}\\\\=\left(9^2 \right)^{\tfrac 12} \cdot d^{\tfrac 62}\\\\=9d^3$

4 0

1 year ago

If the length of a rectangular garden is 2 feet less than the length of a house and the width of the garden is 5 feet less than

Goshia [24]

Answer:

A(h) = h²/2 - 6*h + 10

Step-by-step explanation:

The garden is rectangular, and area of a rectangle is:

A(r) = L*w

Where L is the length and w is the width of the rectangle

Now if we call "h" the length of the house, we have the following expressions

L = h - 2 and

w = h/2 - 5

The expression for the area f the ectangle as a function of the length of the house is:

A(h) = ( h - 2 )* ( h/2 -5 )

A(h) = h²/2 - 5*h - h + 10

A(h) = h²/2 - 6*h + 10

3 0

3 years ago

If for every 12 blue streamers there is 9 gold streamers, how many blue streamers will I have if I have 36 gold streamers?

neonofarm [45]

Answer:

You will have 48 blue streamers.

Step-by-step explanation:

This question can be solved by proportions, using rule of three.

We have that:

For 12 blue streamers, there are have 9 gold streamers. How many blue streamers are there when there are 36 gold streamers?

12 blue - 9 gold

x blue - 36 gold

Applying cross multiplication

$9x = 36*12$

Simplifying by 9

$x = 4*12 = 48$

You will have 48 blue streamers.

4 0

2 years ago

In how many ways can 6 competitors finish a race assuming there are no ties?In how many ways can we sit n people on r < n cha

VLD [36.1K]

Answer: a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

Step-by-step explanation:

Since we have given that

a) Number of competitors = 6

We need to find the number of ways that 6 competitors can finish a race and there are no ties.

So, Number of ways would be

$6!=720$

b) number of people = n

Number of chairs = r (r<n)

so, the number of ways we can sit n people on r<n chairs is given by

$^nC_r=\dfrac{n!}{(n-r)!r!}$

c) If there are three awards :

Gold, silver, bronze.

We need to find the number of ways that these medals can be awarded.

Number of ways is given by

$^8P_3\\\\=336$

d) Number of 5-digit zip codes are possible is given by

$^{10}P_5=30240$

e) Number of poeple = 10

Number of people required in committee = 3

Number of different 3 person committee that are selected from 10 people is given by

$^{10}C_3=120$

Hence, a) 720, b) $^nC_r=\dfrac{n!}{(n-r)!r!}$ c) 336, d) 30240 e) 120.

6 0

3 years ago