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zzz [600]
9 months ago
7

Graph the function, identify if it represents exponential growth or decay, and identify domain and range. See picture

Mathematics
1 answer:
Brrunno [24]9 months ago
4 0

Answer:

a. Decay

b. 0.5

c. 4

Explanation:

If we have a function of the form

y=ab^x

then

a = intital amount

b = growth / decay rate factor

x = time interval

If b > 1; then the equation is modelling growth. If b < 0, then the equation is modelling decay.

Now in our case, we have

y=4(\frac{1}{2})^x

Here we see that

inital amount = a = 4

b = 1/ 2 < 0, meaning the function is modeling decay

decay factor = b = 1/2

Therefore, the answers are

a. Decay

b. 0.5

c. 4

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The true speed and direction of the football thrown by the  quarterback is 30.185 mph and 9⁰ respectively.

<h3>Relative velocity of the football</h3>

The true speed and direction of the football is determined by applying the concept of relative velocity.

Vr/w = Vb - Vw

where;

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  • Vw is the velocity of the wind

Vr/w = 41 mph - 11 mph = 30 mph

The direction speed can be determined by sketching a triangle

Direction of the speed, θ = (360 - 339) - (180 - 168)

                                       θ = 21 - 12 = 9⁰

<h3>Resultant speed;</h3>

R² = 41² + 11² - 2(41 x 11 x cos9)

R² = 911.105

R = √911.105

R = 30.185 mph

Thus, the true speed and direction of the football thrown by the  quarterback is 30.185 mph and 9⁰ respectively.

Learn more about relative velocity here: brainly.com/question/17228388

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8 0
2 years ago
Factorize 1-(3x-1)^2​
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Step-by-step explanation:

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The figure below is not drawn to scale. ABCD is a parallelogram, Find
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\angle EAD=80^{\circ} (subtraction)

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The product of two rational numbers:
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Answer:

"The product of two rational numbers is rational."

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Step-by-step explanation:

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3 years ago
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Item 18 you and your friend are selling tickets to a charity event. you sell 7 adult tickets and 16 student tickets for $120. yo
quester [9]

Answer:

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Step-by-step explanation:

The two purchases can be written in terms of the cost of an adult ticket (a) and the cost of a student ticket (s):

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Using Cramer's rule, the value of s can be found as ...

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The cost of a student ticket is $4.

_____

<em>Comment on Cramer's Rule</em>

Cramer's rule is particularly useful for systems that don't have "nice" numbers that would make substitution or elimination easy methods to use. If you locate the numbers in the equation, you can see the X-patterns that are used to compute the numerator and denominator differences.

The value of a is (16·140 -9·120)/(same denominator) = 1160/145 = 8. I wanted to show you these numbers so you could see the numerator X-pattern for the first variable.

__

Of course, graphical methods can be quick and easy, too.

8 0
3 years ago
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