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3 years ago

Is y=x2-1 linear or nonlinear

Mathematics

1 answer:

Kazeer [188]3 years ago

6 0

Answer:

y=x2-1 is Not Linear

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Lilit [14]

Answer:

The measure of angle CAB is 38 degrees

Step-by-step explanation:

Let me know if you need the explanation.

5 0

3 years ago

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A type of bacteria has a very high exponential growth rate of 80% every hour. If there are 10 bacteria, determine how many will

Lana71 [14]

<h3>There are 189 bacteria in 5 hours</h3><h3>There are 13382588 bacteria in 1 day</h3><h3>There are $10(1.8)^{168}$ bacteria in 1 week</h3>

<em><u>Solution:</u></em>

Given that,

A type of bacteria has a very high exponential growth rate of 80% every hour

There are 10 bacteria

<em><u>The increasing function is given as:</u></em>

$y = a(1+r)^t$

Where,

y is future value

a is initial value

r is growth rate

t is time period

From given,

a = 10

$r = 80 \5 = \frac{80}{100} = 0.8$

<em><u>Determine how many will be in 5 hours</u></em>

Substitute t = 5

$y = 10(1 + 0.8)^5\\\\y = 10(1.8)^5\\\\y = 10 \times 18.89568\\\\y \approx 188.96$

y = 189

Thus, there are 189 bacteria in 5 hours

<em><u>Determine how many will be in 1 day ?</u></em>

1 day = 24 hours

Substitute t = 24

$y = 10(1 + 0.8)^{24}\\\\y = 10(1.8)^{24}\\\\y = 10 \times 1338258.84\\\\y = 13382588.45\\\\y \approx 13382588$

Thus, there are 13382588 bacteria in 1 day

<em><u>Determine how many will be in 1 week</u></em>

1 week = 168

Substitute t = 168

$y = 10(1 + 0.8)^{168}\\\\y = 10(1.8)^{168}$

Thus there are $10(1.8)^{168}$ bacteria in 1 week

6 0

3 years ago

Give the slope of each of the following lines Name a point on each line <br> y+2=2/3 (x-4)

Effectus [21]

Answer:

See answer below

Step-by-step explanation:

y + 2 = 2/3(x - 4)

y + 2 = 2/3x - 8/3

y = 2/3x - 8/3 - 2

y = 2/3x - 2 2/3 - 2

y = 2/3x - 4 2/3 or y = 2/3x - 14/3

Slope = 2/3

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3 years ago

Subtract (5u + 6v) from (8u + 10v)

Lana71 [14]

Answer:

(22): tt

Step-by-step explanation:

Multiple times the segment

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3 years ago

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Snoopy the dog is on a 25-ft long chain that is attached to the back of a barn (see the

NeTakaya

Answer:

A = 981.3 ft^2

Step-by-step explanation:

Here we're calculating the area of a semicircle of radius 25 ft.

The area of a circle is A = (pi)(r)^2, and that of a semicircle of the same radius is A = (1/2)(pi)(r)^2.

Here pi = 3.14 and r = 25 ft, and so the area/space in question is

A = (1/2)(3.14)(25)^2

A = 981.3 ft^2

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3 years ago