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1 year ago

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-

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3 years ago

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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

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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 a,b, and c.

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

Substitute $c=-9a-3b-17$

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

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.

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3 years ago