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2 years ago

What is 6 2/5 - 4 1/3

Mathematics

2 answers:

krok68 [10]2 years ago

4 0

Answer:

Exact Form:

31/15

Decimal Form:

2.06

Mixed Number Form:

2 1/15

DaniilM [7]2 years ago

3 0

Answer:

31/15 or 2 1/15

Step-by-step explanation:

The common denominator is 15. Convert both to an improper fraction and simplify.

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What is the distance between M(9, −5) and N(−11, 10)?

lesya692 [45]

Answer:

$\boxed{ \bold{ \huge{ \boxed{ \sf{25 \: units}}}}}$

Step-by-step explanation:

Let M ( 9 , -5 ) be ( x₁ , y₁ ) and N ( - 11 , 10 ) be ( x₂ , y₂ )

Finding the distance between these points

$\boxed{ \sf{distance = \sqrt{ {(x2 - x1)}^{2} + {(y2 - y1)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 11 - 9)}^{2} + {(10 - ( - 5))}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(10 + 5)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{ {( - 20)}^{2} + {(15)}^{2} } }}$

$\longrightarrow{ \sf{ \sqrt{400 + 225}}}$

$\longrightarrow{ \sf{ \sqrt{625}}}$

$\longrightarrow{ \sf{ \sqrt{ {(25)}^{2} } }}$

$\longrightarrow{ \sf{25 \: units}}$

Hope I helped!

Best regards! :D

7 0

3 years ago

The sum of ages of a man and his wife is 81. The ratio of their ages is 5:4. Find the age of the younger person.

slamgirl [31]

Answer:

A 30 years jjjajajajwiwkwkwiwqakaaiai

3 0

3 years ago

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Inessa05 [86]

no thanks but I'll see if I can get friends to join

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3 years ago

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Find all the zeros of <img src="https://tex.z-dn.net/?f=f%28x%29%20%3D%20%20%7B6x%7D%5E%7B4%7D%20%20%20-%20%20%7B7x%7D%5E%7B

Svetradugi [14.3K]

Answer:

{-1, 1/2, 2/3, 1}

Step-by-step explanation:

I find a graphing calculator to be a most useful tool for problems like this. (See attached.)

_____

First of all, observe that the constant is -2, so 0 is not a zero.

It is often useful to look at the sum of coefficients. Here, that is 0, indicating 1 is a zero.

You can divide that out, or simply continue by looking at the sum of coefficients with odd-degree terms negated. Then you have 6 +7 -4 -7 -2 = 0, indicating -1 is also a zero.

At this point, it can be useful to divide out the factors you know. The synthetic division tableaus attached show that work. First is division by (x+1), then by (x -1).

The result of doing that is the quadratic ...

6x^2 -7x +2 = 0

This can be factored ...

(6x^2 -3x) -(4x -2) = 0 . . . . . . rewrite -7x and group term pairs

3x(2x -1) -2(2x -1) = 0 . . . . . . . factor each pair

(3x -2)(2x -1) = 0 . . . . . . the factorization of the remaining quadratic

The zeros of this are the values of x that make the factors zero: 2/3 and 1/2.

The zeros of the given function f(x) are x ∈ {-1, 1/2, 2/3, 1}.