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r-ruslan [8.4K]
1 year ago
12

There are 8 roll of carpet each carpet roll i 6 yard longhow long are the 8 roll in feet

Mathematics
1 answer:
vlabodo [156]1 year ago
5 0

The given 8 rolls will have a length of 144 feet or in other words, they will be 144 feet long.

Here, we are given that thee are 8 rolls of carpet and each roll is 6 yards long.

We know that the conversion factor of yards to feet is as follows-

1 yard = 3 feet

Thus, 6 yards = (6 × 3) feet

= 18 feet

⇒ each roll of carpet is 18 feet long

Since there are a total of 8 carpets given, the length of all the 8 rolls will be given as follows-

18 × 8

= 144

Thus, we find that the given 8 rolls will have a length of 144 feet or they will be 144 feet long.

Learn more about the unitary method here-

brainly.com/question/24587372

#SPJ4

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Answer:

-1 < c < 9

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-6<2c-4<14

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-6+4<2c-4+4<14+4

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3 years ago
A quadratic function is a function of the form y=ax^2+bx+c where a, b, and c are constants. Given any 3 points in the plane, the
pochemuha

Answer:

The quadratic function whose graph contains these points is y=-x^{2}-2x-2

Step-by-step explanation:

We know that a quadratic function is a function of the form y=ax^{2}+bx+c. The first step is use the 3 points given to write 3 equations to find the values of the constants <em>a</em>,<em>b</em>, and <em>c</em>.  

Substitute the points (0,-2), (-5,-17), and (3,-17) into the general form of a quadratic function.

-2=a*0^{2}+b*0+c\\c=-2

-17=a*-5^{2}+b*-5+c\\c=-25a+5b-17

-17=a*3^{2}+b*3+c\\ c=-9a-3b-17

We can solve these system of equations by substitution

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-9a-3b-17=25a+5b-17\\-9a-3b-17=-2

  • Isolate a for the first equation

-9a-3b-17=-25a+5b-17\\a=\frac{b}{2}

  • Substitute a=\frac{b}{2} into the second equation

-9\left(-\frac{b}{2}\right)-3b-17=-2

  • Find the value of b

-9\left(-\frac{4b}{17}\right)-3b-17=-2\\ b=-2

  • Find the value of a

a=\frac{b}{2}\\  a=-1

The solutions to the system of equations are:

b=-2,a=-1,c=-2

So the quadratic function whose graph contains these points is

y=-x^{2}-2x-2

As you can corroborate with the graph of this function.

8 0
3 years ago
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