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3 years ago

Given that the f(y) = y - 1 and g(y) = y^3 - 2y - 1, find (gof) (y)I and hence, (gof) (-6).

1 answer:

3 0

$(g \circ f)(y)=(y-1)^3-2(y-1)-1\\(g \circ f)(y)=y^3 - 3 y^2 + 3 y - 1-2y+2-1\\(g \circ f)(y)=y^3 - 3 y^2 +y\\\\(g \circ f)(-6)=(-6)^3-3\cdot(-6)^2+(-6)\\(g \circ f)(-6)=-216-108-6\\(g \circ f)(-6)=-330$

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A person takes up 24 inches of space on a stadium bleacher. If one row of bleachers is 150 feet long and there are 20 rows of bl

Feliz [49]

Answer:

1,500 people

Step-by-step explanation:

Remember that

$1\ ft= 12\ in$

Convert ft to in

$150\ ft=150*12=1,800\ in$

<em>Divide the length of a row by the space occupied by one person</em>

$1,800/24=75\ persons$

<em>Multiply by the number of rows to determine the total people that can fit into the stands</em>

$75(20)=1,500\ people$

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2 years ago

• To round a number, look at the digit to the right of the

nadya68 [22]

Answer:

2. A) 37 B)160 C) 110

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3. A)730 B) 675 C)1930

The hundreds digit is three from the left of a decimal point.

4. A) 0.40 B)74.60 C)15.20

The tenth is one away to the right of the decimal.

5. A)1.210 B) 3.430 C)0.350

The hundreth is two away to the right of the decimal point.

Explanation:

If it is above 5 you bring the digit before it up by one, if it is under 5 you bring the digit that is under 5 to zero.

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3 years ago

Jack had three times as many magic beans as his mother. after he gave her 23 beans, he still has 20 more than she had. how many

posledela

There are 43 magic beans althogether

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2 years ago

A rectangle with sides measuring x in. and 4x-1 in. has an area of 663in.^2. What are the dimensions of the rectangle?

serious [3.7K]

9514 1404 393

Answer:

13 in by 51 in

Step-by-step explanation:

The area is the product of the dimensions, so is ...

663 = x(4x -1)

4x^2 -x -663 = 0 . . . . . . subtract 663 to put in standard form

Using the quadratic formula, we can find the solutions.

x = (-(-1) ±√((-1)^2 -4(4)(-663)))/(2(4))

x = (1 ± √10609)/8 = (1 ±103)/8

Only the positive solution is of any use in this problem, so ...

x = 104/8 = 13

4x-1 = 4(13)-1 = 51

The dimensions of the rectangle are 13 inches by 51 inches.

I find it easiest to solve these using a graphing calculator.

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3 years ago

Suppose it is known that 10% of all people in Texas have a specific blood type. Suppose we take a random sample of 500 Texas res

Mila [183]

Answer:

a) 50

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Step-by-step explanation:

check the attached file below

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3 years ago