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3 years ago

Is this table of values linear?

Mathematics

2 answers:

777dan777 [17]3 years ago

3 0

Answer:

Step-by-step explanation:

Linear values will increase by a common difference. For example, a linear function might increase by 6 every time or -4. However, this table does not; each time it increases by a different factor. Since there is no common difference and it does not follow an arithmetic function it is not linear.

sukhopar [10]3 years ago

3 0

Answer:

Step-by-step explanation:

Not linear.

If the inputs were 1, 2, 3, 4 and we wanted a linear function, one such function would be 1, 2, 3, 4 or 10, 20, 30, 40, and so on.

The given table shows that y increases faster and faster as x increases.

From x = 1 to x = 2, y increases from 1 to 2 (an increase of 1).

From x = 2 to x = 3, y increases from 2 to 6 (an increase of 4).

From x = 3 to x = 4, y increases from 6 to 24 (an increase of 18)

No, the table does not represent a linear function.

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An element with a mass 310 grams decays by 5.7% per minute. How much of the element is remaining after 9 minutes, to the nearest

balu736 [363]

Mass of an element = 310 grams

Percentage of the element that will decay in a minute = 5.7%

Quantity of the element that will decay in one minute :

$= \frac{5.7 \times 310}{100}$

$= \frac{1767}{100}$

$= \tt17.67 \: grams$

Thus, 17.67 grams of the element will decay every minute.

Quantity of element that will decay after nine minutes :

$= 17.67 \times 9$

$=\tt 159.03 \: grams$

Thus, 159.03 grams of the element will decay after 9 minutes.

Quantity of element that will remain after 9 minutes :

$= 310 - 159.03$

$= \tt150.97 \: grams$

Thus, 150.97 grams of the element will remain after nine minutes.

We can round off 150.97 to 151.00.

Therefore, <u>151.00 grams</u> of the element will remain after 9 minutes.

6 0

3 years ago

Which one of these is a lie and why? Explain your thinking.

drek231 [11]

Answer:

Step-by-step explanation:

y-intercept is not 1. It is -2

6 0

3 years ago

Write the expression 5x(x + 9) − 7(x + 9) in complete factored form.

NNADVOKAT [17]

$(5x-7)(x+9)$

6 0

3 years ago

The equation 4x2 – 24x + 4y2 + 72y = 76 is equivalent to

DerKrebs [107]

Answer:

Option 4 is correct.

The equation $4x^2 -24x + 4y^2 + 72y = 76$ is equivalent to $4(x-3)^2 + 4(y+9)^2 =436$

Step-by-step explanation:'

Given equation: $4x^2 -24x + 4y^2 + 72y = 76$

First group the terms with x and those with y;

$(4x^2-24x)+(4y^2+72y) = 76$

Next, we complete the squares.

We can do this by adding a third term such that the x terms and the y terms are perfect squares.

For this we must either add the same value on the other side of the equation or subtract the same value on the same side so that the equality is maintained.

⇒ $4(x^2-6x) +4(y+18y) = 76$