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3 years ago

Which statement best explains why y=4−6x is a function?

Mathematics

1 answer:

cluponka [151]3 years ago

5 0

<u>Answer:</u>

The correct answer option is: Each x value has one and only one y value.

<u>Step-by-step explanation:</u>

A relationship from a set of inputs to a set of outputs where each input has exactly one corresponding output value is said to be a function.

Here, we are given $y=4-6x$ which happens to be a function as no x value is repeated and there is only one corresponding y value to it.

Therefore, option c is the correct answer.

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Could someone help me on this math question please!! I don't remember what to do for things like these!

Bas_tet [7]

The answer to your question is C. 4

7 0

3 years ago

Read 2 more answers

Use the given inverse to solve the system of equations. left brace Start 3 By 3 Matrix 1st Row 1st Column x minus y plus z 2nd C

natka813 [3]

The interpretation of the given question is as follows:

Use the given inverse to solve the system of equations

$x- y - z = -6 \\ \\ 2y + z = -6 \\ \\ 3x -8 y = - \dfrac{1}{2}$

The inverse of $\left[\begin{array}{ccc}1&-1&1\\0&2&1\\3&-8&0\end{array}\right] is \left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right]$

x =

y =

z =

Answer:

x = - 1.5

y = - 0.5

z = - 5

Step-by-step explanation:

Using the correlation of inverse of matrix AX = B to solve the question above;

AX = B

⇒ A⁻¹(AX) = A⁻¹ B

X = A⁻¹ B

So ;

X = A⁻¹ B

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =$ $\left[\begin{array}{ccc}-8&8&3\\-3&3&1\\6&-5&-2\end{array}\right] =$ $\left[\begin{array}{ccc}-6\\ -6\\- \dfrac{1}{2}\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(-8*-6)+(8*-6)+(3*-\dfrac{1}{2})\\(-3*-6)+(3*-6)+(1*-\dfrac{1}{2})\\(6*-6)+(5*-6)+(-2* - \dfrac{1}{2})\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(48)+(-48)+(\dfrac{-3}{2})\\(18)+(-18)+(\dfrac{-1}{2})\\(-36)+(30)+(1)\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}(\dfrac{-3}{2})\\(\dfrac{-1}{2})\\(-5)\end{array}\right]$

$\left[\begin{array}{c}x\\y\\z\end{array}\right] =\left[\begin{array}{ccc}-1.5\\-0.5\\ -5\end{array}\right]$

5 0

3 years ago

Let X be a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal prob

Akimi4 [234]

Answer:

Yes. Have the same distribution.

Step-by-step explanation:

Given that X is a random day of the week, coded so that Monday is 1, Tuesday is 2, etc. (so X takes values 1, 2,..., 7, with equal probabilities).

Y is the next day after X

So Y can be written as X+1

But since highest value is 7, we can write

Y = X+1 mod 7

i.e. whenever X=7, Y= 8= 1 again.

Thus Y can take values as

Y 1 2 3 4 5 6 7

P(Y) = P(X+1) = 1/7

i.e. Y also has the same distribution as X

3 0

3 years ago

A polling company reported that 5353% of 10181018 surveyed adults said that rising gas prices arerising gas prices are "quite a

Sophie [7]

Answer: 540

Step-by-step explanation:

Given: A polling company reported that 53% of 1018 surveyed adults said that rising gas prices are "quite annoying."

To find: The exact value of 53% of 1018.

$53\%\text{ of }1018 = \dfrac{53}{100}\times1018$ [we divide a percentage by 100 to convert it into a fraction of decimal]

$=\dfrac{53954}{100}=539.54\\\\\approx540$

Hence, the 540 adults said that rising gas prices are "quite annoying."

Thus, the exact value = 540

8 0

3 years ago

What is EG? Round to the nearest tenth if necessary.

slava [35]

Answer:

26.

Step-by-step explanation:

As the vertex angles are equal:

24/54 = x / x+10

54x = 24x + 240

30x = 240

x = 8

So EG = x + x + 10

= 8 + 8 + 10

= 26..

7 0

3 years ago