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nikklg [1K]
3 years ago
6

In a function, every output value corresponds to exactly one input value true or false

Mathematics
1 answer:
svet-max [94.6K]3 years ago
6 0
It Is True . For A Function Each Input Should Only Have One OutPut . Example ❤️ : Input | Output 01 | 05 02. | 08 03. | 06 It Wouldn't Be A Function If The Input Had Repeated Example ❤️ : Input | Output 07. | 03 09. | 01 09. | 12 03. | 02
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Need help finding the x, y, and z. please and thank you
Reptile [31]

The first step in any problem is to look at what you are given. When solving systems of linear equations, it is often helpful to eliminate one or more of the variables by adding or subtracting a multiple of one equation with a multiple of another. It is convenient when at least one of the multipliers is 1.

Here, we can cancel the y-terms in the 2nd and 3rd equations simply by adding them together. This gives

... (5x +y -4z) +(-3x -y +5z) = (41) +(-45)

... 2x +z = -4 . . . . simplified

Likewise, we can add 3 times the second equation to the first to cancel y in that sum.

... 3(5x +y -4z) +(2x -3y +z) = 3(41) + (-1)

...15x +3y -12z +2x -3y +z = 123 -1

...17x -11z = 122 . . . . simplified

Now that we have 2 equations in x and z, we can go through the same process. We observe that the coefficient of z is +1 in the first equation and -11 in the second. The means we can cancel the z terms by adding 11 times the first equation to the second:

... 11(2x +z) +(17x -11z) = 11(-4) +122

...22x +17x = 78 . . . . . . simplify a little bit

... x = 78/39 = 2 . . . . . . divide by 39

From above, we find

... z = -4 -2x = -4 -2·2 = -8

... y = 41 -5x +4z = 41-5(2) +4(-8) = 41 -42 = -1

The solution is (x, y, z) = (2, -1, -8).

_____

The method of elimination used here will vary with the system of equations. If you want to employ a consistent method, you can use Cramer's Rule, Gaussian elimination, or matrix methods. Since you apparently don't mind help from technology, learning to do this on your graphing calculator can also be a good idea.

4 0
3 years ago
How much fencing would you need to fence in a rectangular storage that measures 40 feet x 20 feet?​
Monica [59]

Answer:

Ammount of fencing required = perimeter of the rectangular storage.

Perimeter of a rectangle = 2(l+b), where l = length, b = breadth.

so perimeter = 2(40+20) = 2(60) = 120 feet

so fencing required = 120 feet

HOPE IT WAS HELPFUL!

3 0
3 years ago
Read 2 more answers
I need help with this asap please
gtnhenbr [62]

Answer:

A

Step-by-step explanation:

Total amount of faces of object = 6

Surface area = length x height

2(4*10) + 2(10*17) + 2(4*17)

=2(40) + 2(170) + 2(68)

= 80 + 340 + 136

= 556cm^2

7 0
3 years ago
Simply 6-4 root 3/ 6+4 root 3 by ratnolising the denominator
Inessa [10]

\huge\underline{\red{A}\blue{n}\pink{s}\purple{w}\orange{e}\green{r} -}

the question asks us to rationalise the given expression !

so let's start ~

\frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} }  \\  \\ \implies \:  \frac{6 - 4 \sqrt{3} }{6 + 4 \sqrt{3} }   \:  \times  \:  \frac{6 - 4 \sqrt{3} }{6 - 4 \sqrt{3} }  =  \frac{(6 - 4 \sqrt{3}) {}^{2}  }{6 {}^{2} - 4 \sqrt{3}  {}^{2}  }  \\  \\ \implies \frac{\: 6 {}^{2}   +  4 \sqrt{3}  {}^{2}  - (2 \times 6 \times 4 \sqrt{3} )}{36 - 48} \\  \\ \implies \:  \frac{36  + 48 - 48 \sqrt{3} }{ - 12}  \\  \\ \implies \:   \frac{84 + 48 \sqrt{3} }{ - 12}  \\  \\ \implies \:  \frac{ \cancel{- 12}(7  -  4 \sqrt{3} )}{ \cancel{ - 12} } \\  \\ \implies \: 7 - 4  \sqrt{3}

hope helpful :D

3 0
2 years ago
Read 2 more answers
maya is driving 120 miles to her grandmothers house.she drivs 35% of the distance before stopping for lunch. how far does she dr
attashe74 [19]

Answer:

42 miles

Step-by-step explanation:

32% is the same thing as 0.35

Think of the word "of" as multiplication.

Therefore, 0.35 of 120 miles is 0.35×120

This equals 42 miles.

6 0
2 years ago
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