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gavmur [86]
3 years ago
8

Which expression is equivalent to (x+1)^2-9/x+4 A. X-2 B. X+2 C. X-4 D. X+4

Mathematics
1 answer:
Studentka2010 [4]3 years ago
6 0
\frac{(x + 1) {}^{2} - 9}{x + 4}

Use difference of squares for numerator:

\frac{(x + 1 + 3)(x + 1 - 3)}{x + 4}
\frac{(x + 4)(x - 2)}{x + 4}

Simplify x+4:

x - 2
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You want to make a rectangular banner that is 18ft. Long with a trim around the entire border of the banner . You have no more t
lys-0071 [83]

Answer:

6 ft

Step-by-step explanation:

Given that:

Length of rectangular banner = 18 ft

Total trim of banner available = 48 ft

To find:

Possible widths of the banner = ?

Solution:

Maximum trim available of the banner around the entire border of the banner = 48 ft

i.e. we are given the total perimeter of the rectangular banner.

Formula for perimeter of a rectangle is given as:

Perimeter = 2 \times (Length + Width)

Putting the values of perimeter and length to find the value of width.

48 = 2 \times (18 + Width)\\\Rightarrow 48 =36+2 \times Width\\\Rightarrow 2 \times Width = 48-36\\\Rightarrow 2 \times Width = 12\\\Rightarrow \bold{Width = 6\ ft}

So, width possible is <em>6ft.</em>

3 0
3 years ago
Find the volume of a cube with a side length of 4r3s2.
andrey2020 [161]

Answer:

V = 64 r^(9) * s^(6)

Step-by-step explanation:

The volume of a cube is given by

V = s^3 where s is the side length

V = (  4r^3s^2) ^3

We know that ( ab) ^c = a^c * b^c

V = 4^3 * r^3^3  * s^2^3

V = 64 * r^3^3  * s^2^3

   We know that a^b^c = a^(b*c)

V = 64 r^(3*3) * s^(2*3)

V = 64 r^(9) * s^(6)

8 0
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Marcus has 731 books.He puts about the same number of books on each of 9 shelves in his bookcase .About how many books are on ea
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About 82 books, i think....
8 0
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I hope this helps you



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6 0
3 years ago
the plans for your 13th birthday party are well under way. your parents agree to your guest list of 400 people. you decided it w
diamong [38]

Answer:

11 people will get both the prizes.

Step-by-step explanation:

In this question we need to find common integral multiples of 5 and 7 under 400. As you can see in the figure 35th person is the first one to get both ipod and psp. The LCM (least common multiple) of 5 and 7 which is 35 (!!! <em>I hope you know how to LCM of two integers </em>).

Therefore the integral multiples of 35 will be same as the common multiples of 5 and 7. So, figuring out the number of integral multiples of 35 under 400 will give the answer.

To do that divide the number 400 with 35. On performing the division the quotient will be 11 and the remainder will be 15.

Therefore 11 persons out of 400 will get both the prizes.

Similarly if you want to find the number of person getting ipod then divide 400 with 5. The quotient will be 80. ∴ 80 people will get ipod.

And for psp, divide 400 with 7. The quotient will be 57. ∴ 57 people will get psp.

In these divisions, consider just the quotient, here remainder is of no use.

5 0
2 years ago
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