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Zarrin [17]
3 years ago
12

Is this a linear function?

Mathematics
2 answers:
kotegsom [21]3 years ago
8 0

Answer:

Yes

Step-by-step explanation:

The rate of change ( the slope) of consecutive points are constant.

Using the slope formula on consecutive points

m = (y₂ - y₁ ) / (x₂ - x₁ ), then

\frac{6-4}{0+3} = \frac{2}{3}

\frac{8-6}{3-0} = \frac{2}{3}

\frac{10-8}{6-3} = \frac{2}{3}

Thus the given data represents a linear function

gizmo_the_mogwai [7]3 years ago
5 0

Answer: yes

Step-by-step explanation: bcz anything positive or negative can be a linear function as long as there are no exponents

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Consider a dart board made of three concentric circles of radii 1 cm, 2cm and 3 cm, respectively. The points you obtain by hitti
Vlada [557]

Answer:

The answer is 350 points

Step-by-step explanation:

The Area of a circle is πr∧2

The problem states that in the attempts, you never hit the outermost ring in the 10 attempts so we need the area of the 1cm and 2cm circles

Area of the 1st circle;  π X 1∧2 = π

Area of the Second circle; π X 2∧2 = 4π

We also need the area which is the difference between the area of the 1cm and 2cm circle

4π - π  = π

Points 50 = π/4π = 1/4

points 30 = 3π/4π = 3/4

For one attempt,

E(x) = 50 x 1/4 + 30 x 3/4

= 12.25 + 22.5

= 34.75

This is approximately 35

Therefor, 10 individual attempts will be 10 x 35 = 350

8 0
3 years ago
Read 2 more answers
Log 2x + log x = 2<br> What is the answer
shusha [124]

Answer:

x=5\sqrt{2\\

Step-by-step explanation:

7 0
1 year ago
Read 2 more answers
Write a system of equations to describe the situation below, solve using elimination, and fill in the blanks.
pogonyaev

Answer:

The small balloon bouquet uses  7 balloons and the large one uses

18 balloons.

Step-by-step explanation:

Let's say that small balloon bouquets are S and large balloon bouquets are L. For the graduation party the employee assembled 6 small bouquets and 6 large bouquets, the total number of balloon used is 150. To put the sentence into an equation will be:

6S + 6L= 150

S+L= 25   ----> 1st equation

For Father's Day, the employee uses 6 small bouquet and 1 large bouquet, the total number of balloons used is 60. The equation will be:

6S + 1L= 60

1L= 60- 6S   ----> 2nd equation

We can solve the number of small balloon bouquet by substitute the 2nd equation into 1st. The calculation will be:

S+L = 25

S+ (60-6S)= 25

-5S= 25-60

-5S= -35

S= -35/-5

S=7

Then we can find L by substitute S value to 1st or 2nd equation.

S+L=25

7+L=25

L=18

5 0
3 years ago
A clock loses 1 second every minute. It is set to the correct time at 10 AM on February 4. In which month is the next day on whi
Kruka [31]
<h3>Answer: The month of April</h3>

More accurately: The correct time will be shown on April 4th if it is a leapyear, or April 5th if it is a non-leapyear. It takes 60 days for the clock to realign, which is the same as saying "the clock loses 24 hours every 60 days".

===================================================

Explanation:

The following statements shown below are all equivalent to one another.

  • Clock loses 1 second every 1 minute (original statement)
  • Clock loses 60 seconds every 60 minutes (multiply both parts of previous statement by 60)
  • Clock loses 1 minute every 1 hour (time conversion)
  • Clock loses 60 minutes every 60 hours (multiply both parts of previous statement by 60)
  • Clock loses 1 hour every 2.5 days (time conversion)
  • Clock loses 24 hours every 60 days (multiply both parts of previous statement by 24)

Use a Day-Of-Year calendar to quickly jump ahead 60 days into the future from Feb 4th (note how Feb 4th is day 35; add 60 to this to get to the proper date in the future). On a leapyear (such as this year 2020), you should land on April 4th. On a non-leapyear, you should land on April 5th. The extra day is because we lost Feb 29th.

The actual day in April does not matter as all we care about is the month itself only. Though it's still handy to know the most accurate length of time in which the clock realigns itself.

8 0
3 years ago
The cost for 3.5 pounds of shrimp is $14.63.
notka56 [123]

Answer:

$4.18 dollars per pound

Step-by-step explanation:

We can find the price in dollars per pound by dividing the cost by the number of pounds:

14.63/3.5 = 4.18

This means the price in dollars per pound is $4.18

3 0
3 years ago
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