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2 years ago

Write each of the following expression without using absolute value. |6m-54|, if m<9

Mathematics

1 answer:

Simora [160]2 years ago

3 0

9514 1404 393

Answer:

54 -6m

Step-by-step explanation:

For values of m < 9, the argument of the absolute value function is less than 0. Then the expression evaluates to ...

-(6m -54) = 54 -6m

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Explain whether the following statement is true or false.

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Answer:

This statement is false. The side of a triangle that is opposite an angle greater than or equal to 90° is always the largest side of the triangle.

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2 years ago

F(x) = 3x-1 and g(x)=2x^2

Law Incorporation [45]

Answer:

See below

Step-by-step explanation:

a. here you are to multiply the two functions together:

$(3x-1)(2x^{2} )=6x^{3}-2x^{2}$

b. here you are to subtract g from f:

$(3x-1)-(2x^{2})=-2x^{2}+3x-1$

c. here you are to compose g into f. In other words, pick up the whole g function and plug it into f wherever you see an x:

$3(2x^{2} )-1=6x^{2} -1$

d. here you are compose f into g. In other words, pick up the whole f function and plug it into g wherever you see an x:

$2(3x-1)^2$

You now have to FOIL out the (3x-1) like so:

$2[(3x-1)(3x-1)]$

which gives you

$2(9x^{2} -6x+1)$

Distribute in the 2 and you'll end up with the answer:

$18x^{2} -12x+2$

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3 years ago

The British Queen is to receive 4 foreign dignitaries. The digni- taries are sensitive to the order in which they are received.

Readme [11.4K]

Answer:

Number of Ways = ₄P₄ = 24

Step-by-step explanation:

Given that there are going to be 4 dignitaries, and that they are sensitive to the order (i.e the order of the dignitaries matter), hence the total number of ways they can be arranged can be found by permutating 4 dignitaries.

i.e

Number of Ways = ₄P₄ = 24

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3 years ago

Write an expression for the calculation 84 divided into sevenths added to 9 divided into thirds

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(84/7)+ 9/3=
12+9/3
12+3
15

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3 years ago

Find the value of x. round the length to the nearest tenth

Ronch [10]

Answer:

777.9 meters

Step-by-step explanation:

Notice that the angles of the right triangle are 40 and 50 degrees, with the 500 meter side adjacent to the 50 degree angle. Now, we can set up an equation: cos (50 degrees) = 500 / x. Use a calculator to find that the answer is 777.9.

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3 years ago

Read 2 more answers