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3 years ago

Barney has 1 16

Mathematics

1 answer:

Mars2501 [29]3 years ago

3 0

1165 divided by 255 = 5.17 = 5 costumes

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Use mental math to simplify (3 + 62) +7.

Delicious77 [7]

72 3 plus 62 is 65 plus 7 is 72

6 0

3 years ago

Read 2 more answers

Find (f/g) (x) for the functions provided: ƒ(x) = x3 − 27, g(x) = 3x − 9

AnnZ [28]

Answer:

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

Step-by-step explanation:

We have been given that

$f(x)=x^3-27,g(x)=3x-9$

We can use the formula for difference of cubes to simplify the function f(x)

difference of cubes - $a^3-b^3=(a-b)(a^2+ab+b^2)$

$f(x)=x^3-27\\\\=x^3-3^3\\\\=(x-3)(x^2+3x+9)$

And g(x) can be written as

$g(x)=3x-9\\=3(x-3)$

Thus, we have

$(\frac{f}{g})(x)=\frac{(x-3)(x^2+3x+9)}{3(x-3}$

On cancelling the common factors, we get

$(\frac{f}{g})(x)=\frac{1}{3}(x^2+3x+9)$

5 0

3 years ago

Which expression is equivalent to 15x – 2(3x + 6)?

Mkey [24]

Answer: 3(3x−4) is the answer

7 0

3 years ago

David wants to buy a 6-foot long sandwich for a birthday party. If the sandwich costs $72.00, what is the cost per foot?

MariettaO [177]

Answer:

$12 per foot

Step-by-step explanation:

$72.00 divided by 6 is $12

3 0

3 years ago

Read 2 more answers

show that the points (1 ,7) ,(4, 2), (-1, -1) and (-4, 4) taken in order are the vertics of a square. Also find its area

OLga [1]

Answer:

Step-by-step explanation:

A (1 ,7) , B(4, 2), C(-1, -1) and D(-4, 4)

Find the distance of sides using distance formula.

Distance = $\sqrt{(x_{2}-x_{1})^{2}+(y_{2}-y_{1})^{2}}$

A (1 ,7) , B(4, 2)

$AB = \sqrt{(4-1)^{2}+(2-7)^{2}}\\\\ =\sqrt{3^{2}+(-5)^{2}}\\\\ \\ = \sqrt{9+25}=\sqrt{34} units\\\\\\\\BC = \sqrt{(-1-4)^{2}+(-1-2)^{2}}\\\\ =\sqrt{(-5)^{2}+(-3)^{2}} = \sqrt{25+9}=\sqrt{34} units\\\\\\CD = \sqrt{(-4-[-1])^{2}+(4-[-1])^{2}}\\\\=\sqrt{(-4+1)^{2}+(4+1)^{2}}\\\\=\sqrt{(-3)^{2}+(5)^{2}}\\\\=\sqrt{9+25} = \sqrt{34} units\\\\\\AD = \sqrt{(-4-1)^{2}+(4-7)^{2}}\\\\=\sqrt{(-5)^{2}+(-3)^{2}} =\sqrt{25+9} = \sqrt{34} units$

AB = BC = CD = AD = √34 units. so , ABCD is a square.

Area of square = side * side

= √34 * √34

= 34 square units

7 0

3 years ago