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3 years ago

Is the function linear or nonlinear?

1 answer:

8 0

The way you can tell if a function is linear or non-linear is if the rate of change is constant. Here you can tell it isn't the whole time.

-3 to -1 is +2

-1 to 0 is +2

0 to 1 is +1 (Here is where the rate of change changes, making it non-linear.)

But just in case, let's check the y-values.

-5 to -1 is +4

-1 to 1 is +2 (Again, here is where you can tell)

Hope this helps!

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What is the slope of the x axis?

ValentinkaMS [17]

The x axis is normally defined as Horizontal. Therefore, it is a slope of 0 degrees.

6 0

3 years ago

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At 10:00 a.M., Han and Tyler both started running toward each other from opposite ends of a 10-mile path along a river. Han runs

ehidna [41]

Answer: 1. Han run 2.5 miles after a half hour.

2. No, they will not meet within 1 hour.

Step-by-step explanation:

Here, Han runs at a pace of 12 minutes per mile.

Or, we can say that he can run with the speed of 5 miles per hour. (because, speed = 1/pace and 12 minutes = 1 miles ⇒ 60 minutes = 5 miles)

Similarly, If Tyler runs at a pace of 15 minutes per mile ⇒ Tyler run with the speed of 4 miles per hour.

Therefore,

1) The distance covered by Han in half an hour = 1/2 × 5 = 2.5 miles

(because distance = speed × time)

Now, 2) the time at which Han and tyler will meet,

T= Total distance/ ( the sum of their speed)

$T= \frac{10}{5+4} = \frac{10}{9}$

⇒ $T = 1\frac{1}{9}$ hours > 1 hour

That is, they will not meet within 1 hour.

4 0

3 years ago

Read 2 more answers

A sequence of 7 numbers starts with 8. The second number in the sequence is unknown and may be positive or negative. The third t

scoray [572]

Answer:

Explanation:

$a_1=8,a_7=0$

Since the third term is the sum of the two previous terms

$a_3=a_2+a_1$

$a_7=a_6+a_5$

$a_7=a_5+a_4+a_4+a_3$

Continuing in like manner

$a_7=5a_3+3a_2$

Since $a_3=a_2+a_1$

$a_7=5(a_2+a_1+3a_2$

$a_7=5a_2+5a_1+3a_2$

$a_7=8a_2+5a_1$

Recall: $a_1=8,a_7=0$

$0=8a_2+5*8$

$8a_2=-40$

$a_2=-5$

The sequence is therefore:

8,-5,3,-2,1,-1,0

The sum of the seven numbers is 4.

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3 years ago

What is the missing side length?<br> (Use Pythagorean Theorem)

Vedmedyk [2.9K]

Answer:

20 units

Step-by-step explanation:

The Pythagorean Theorem states that:

$a^{2} + b^{2} = c^{2} \\$

Now we can insert values into the equation.

$a = 15\\b = b\\c = 25\\$

Now we can plug these ☝ values into the Pythagorean Theorem:

$15^{2} + b^{2} = 25^{2}\\$

After we solve for $b$ we get:

$b^{2} = 400\\b = 20$

6 0

3 years ago

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What is the slope of the line through the points (–3, 5) and (4, 5)?

kicyunya [14]

The slope is 0.
Using the formula (y2-y1) / (x2-x1), we wee that when subtracting y2 from y1 we get zero in the numerator and 7 in the denominator.

0/7 = 0

Another way to determine this is by plotting the two points and seeing that they form a horizontal line, indicating that there is a slope of 0.

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3 years ago