All categories

3 years ago

The values in the table represent a linear function. How does the value of y

Mathematics

2 answers:

antoniya [11.8K]3 years ago

8 0

Answer:

The table shows that:

The value of y decreases when the value of x decreases or vice versa, the value of y increases as x increases.

Therefore the line has a positive slope

Orlov [11]3 years ago

5 0

GIVEN:

X Y

9 4

3 0

- 3 - 4

- 9 - 8

ANSWER:

From the table, we conclude that the value of x decreases when value of y increases, or the value of y decreases when value of x increases.

You might be interested in

In the past you paid $800$800 per month to rent your apartment. You now pay $900$900 per month for your rent. What is the percen

Katena32 [7]

100 more
100/800
1/8
.125
12.5%

3 0

3 years ago

Read 2 more answers

Factor completely. 3x^2-3x-18 HINT: Factor out the greatest common factor first.

lubasha [3.4K]

Answer:

3(x - 3)(x + 2)

Step-by-step explanation:

take out a common factor of 3 from each term

= 3(x² - x - 6)

to factor the quadratic consider the factors of - 6 which sum to - 1

These are - 3 and + 2, hence

3x² - 3x - 18 = 3(x - 3)(x + 2) ← in factored form

3 0

3 years ago

The temperature, H, in degrees Celsius, of a cup of coffee placed on the kitchen counter is given by H = f(t), where t is in min

Deffense [45]

Answer:

f'(t) is negative

The unit is degC/min

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

Step-by-step explanation:

From the question we are told we are told that

The equation for the temperature of a cup of coffee place on a counter is

$H= f(t)$

Here t is the time in minutes the coffee was put on the counter

Generally f(t)' is the derivative of f(t) at it represents the change of the temperature of the cup of coffee with respect to time

Generally for the coffee placed on the counter after a couple of minutes the temperature will decrease hence f(t)' is negative

Generally the unit of the temperature is in degrees Celsius while that of time is in minutes

So the change in temperature with time f(35)' will be in degrees Celsius/minutes (i.e degC/min)

From the question we are told that

$|f(35)'| = 1.5$

i.e the rate of change of temperature after 35 minutes is 1.5

and

$|f(35)| = 68$

i.e the temperature of the cup of coffee after 35 minutes is 67 degC

Now after another t= 30 seconds = $\frac{30}{60}= 0.5 \ minutes$ the rate of change of the temperature of the cup of coffee is

$R = |f(35)'| * t$

=> $R = 1.5 * 0.5$

=> $R = 0.75$

At 35 minutes after the coffee was put on the counter, its temperature is 68 and will decrease by about 0.75 in the next 30 seconds.

5 0

3 years ago

What fraction of 5 is 1/2

Sphinxa [80]

Answer:

1/10

Step-by-step explanation:

1/2 divided by 5 = 1/10

7 0

3 years ago

Read 2 more answers

A) Find the area B) Find the perimeter

Archy [21]

Answer:

A1= 64

A2= 40

P= 56(of whole shape)

Step-by-step explanation:

A squares area is a side squared so 8^2= 64, and it is also shown that a side of the square is the base of the parallelogram. The area of a parallelogram is b*h so (square side)(8) * height(5)= 40.

Since a parallelograms opposite sides are congruent, 8+8=16, and the other two sides need to be congruent and equal to 40-16(24), therefore the sides are both 12.

Then to calculate the perimeter just count up the side lengths, 8+8+8+12+8+12=56

4 0

3 years ago