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Norma-Jean [14]
2 years ago
5

Is the function represented by the table non-linear?

Mathematics
1 answer:
dexar [7]2 years ago
8 0

Answer:

Nope!

Step-by-step explanation:

It's linear, because it has a continuous pattern. Look!

x values: 6, 7, 8, 9

y values: 4, 2, 0, -2

X values: We add 1 each time

Y values: We subtract 2 each time

I hope it helps!

*RosalindCordelia*

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The table represents the temperature of a cup of coffee over time.
Harrizon [31]

Answer: first choice, exponential, because there is a relatively consistent multiplicative rate of change.

Explanation:

1) I have attached the figure with the data table that represents the temperature of a cup of coffee over time.

These are the data:

Time (min) ------ Temperature (°F)

0 ----------------------- 200

10 ---------------------- 180

20 --------------------- 163

30 --------------------- 146

40 ---------------------131

50 -------------------- 118

60 -------------------- 107

2) Since, the increase in time is constant, while the decrease in temperaute is not, you know that it is not linear.

3) The other two options involve exponential models.

The exponential models have a constant multiplicative rate of change, not additive. Therefore, the only feasible choice is the first one: temperature of a cup of coffee over time.

4) You can prove it:

i) Exponential models have the general form y = A [r]ˣ, where B is r is the multiplicative rate of change: any value is equal to the prior value multiplied by r:

y₁ = A [r]¹

y₂ = A[r]²

y₂ / y1 = r ← as you see this is the constant multiplicative rate of change.

ii) Test some data:

180 / 200 = 0.9

163 / 180 ≈ 0.906 ≈ 0.9

146 / 163 ≈ 0.896 ≈ 0.9

131 / 146 ≈ 0.897 ≈ 0.9

118 / 131 ≈ 0.901 ≈ 0.9

107 / 118 ≈ 0.907 ≈ 0.9

As you see all the data of the table have a relatively consistent multiplicative rate of change, which proves that the temperature follows an exponential decay; so the right choice is the first one.

6 0
2 years ago
Read 2 more answers
Divide and write in simplest form 4/7 divided by 1 1/7
IrinaVladis [17]

First, change the mixed fraction into improper fraction

1 1/7 = 7/7 + 1/7 = 8/7

(4/7)/(8/7)

To solve, flip the second fraction, and change the division into multiplication

(4/7)/(8/7) = (4/7) x (7/8)

Multiply, and simplify

(4/7) x (7/8) = 28/56, or 1/2

1/2 is your answer

hope this helps

7 0
2 years ago
Angles 1 and 2 are complementary, and angle 1=3x+3 and angle 2=10x-4, find the degree measure of each angle
tensa zangetsu [6.8K]

Answer:

The measure of the angles:

24°  and   66°

Step-by-step explanation:

Complementary angles sum 90°

then:

(3x + 3) + (10x-4) = 90

3x + 10x + 3 - 4 = 90

13x - 1 = 90

13x = 90+1

13x = 91

x = 91/13

x = 7°

then:

  • angle 1:

3x+3 = 3*7 + 3 = 21+3 = 24°

  • angle 2

10x - 4 = 10*7  - 4 = 70 - 4 = 66°

Check:

66° + 24° = 90°

7 0
2 years ago
-10 -9 -8 7 Slope of the Line: Click twice to plot each segment. Click a segment to delete it. y -6 5 3 2 -1 10 9 8 7 6 5 J 2 -8
frutty [35]

Answer:

  1/2

Step-by-step explanation:

The slope of a line is the ratio of "rise" to "run".

__

This line goes through grid intersections at (0, -7) and (2, -6), a rise of 1 unit for a run of 2 units to the right. The slope is ...

  slope = rise/run = 1/2

3 0
2 years ago
I hope you all have a great day <3
hoa [83]

Answer:

same to you Hun

Have a good day Ahead

4 0
2 years ago
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