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3 years ago

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Mathematics

1 answer:

Phantasy [73]3 years ago

3 0

Answer:

11 1/3 sq yards

Step-by-step explanation:

4 1/4 x 2 2/3

change into improper fractions: 17/4 x 8/3 = 136/12 = 11 1/4

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Is it true that ƒ −(g − h) = (ƒ − g) − h? Explain why you believe the equation is true or provide a counterexample to show that

miss Akunina [59]

Answer:

The expression is false

Step-by-step explanation:

Given

$f - (g - h) = (f - g) - h$

Required

True or False

To determine if the expression is true or false, we need to simplify both sides of the equation

$f - (g - h) = (f - g) - h$

Start by opening the bracket on the right hand side

$f - (g - h) = f - g - h$

Then open the bracket on the left

$f - g + h = f - g - h$

Subtract f - g from both sides

$f - g - (f - g) + h = f - g - (f - g) + h$

$f - g - f + g + h = f - g - f + g - h$

$f - f - g + g + h = f - f - g + g - h$

$h \neq -h$

Hence;

The statement is false

To further check;

Assume f = 5; g = 4 and h = 3

$f - (g - h) = (f - g) - h$ becomes

$5 - (4 - 3) = (5 - 4) - 3$

$5 - 4 + 3 = 5 - 4 - 3$

$2 \neq -2$

5 0

4 years ago

What is the simplified form of the expression 3 + 8x − 2y − x + 1 + 4y

KengaRu [80]

Combine like terms
3+8y-2y-x+1+4y
(3+1)+(8y-2y+4y)
4+10y

5 0

4 years ago

Read 2 more answers

How is the graph of y=^3√0.5x related to its parent function,y=^3√x ? A.It is horizontally stretched by a factor of 0.5 B. It is

uranmaximum [27]

For this case we have the following function:
y = ^ 3√x
Applying the following transformation we have:
Expansions and horizontal compressions
The graph of y = f (bx):
If 0 <b <1, the graph of y = f (x) expands horizontally by the factor of 1 / b.
y = ^ 3√0.5x
Answer:
A.It is horizontally stretched by a factor of 1 / 0.5

8 0

3 years ago

47. Forming a Committee Four members from a 20-person committee are to be selected randomly to serve as chair- person, vice-chai

Svetllana [295]

Answer:

116,280 different leadership structures are possible

Step-by-step explanation:

The order is important.

For example, a Committee of John, Elisa, Laura and Rose means that John is the chairperson, Elisa the vice-chairperson, Laura the secretary and Rose the treasurer. If we exchange John and Elisa, their roles are also exchanged. This means that we use the permutations formula to solve this question.

Permutations formula:

The number of possible permutations of x elements from a set of n elements is given by the following formula:

$P_{(n,x)} = \frac{n!}{(n-x)!}$