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3 years ago

Plz help me thank you :^((

Mathematics

1 answer:

Degger [83]3 years ago

4 0

Answer:

Correct choice is 4, f(6) = 15

Step-by-step explanation:

f(6) means x = 6. If you look at the piecewise function, x = 6 meets the criteria for the second equation which is just 15. You need the first equation ONLY if x is less than 4.

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A new computer loses 1/2 of its value every year. Which graph could represent the relationship between the year and the computer

Igoryamba

Let's first consider: the fact that a new computer loses 1/2 of its value

⇒ third choice and fourth choice are eliminated

⇒ because of the graph project the computer's value as growing over

years

Now let's try to set up an equation:

After 1st year ⇒ Computer's value = $total_.value*\frac{1}{2}$

After 2nd year ⇒ Computer's value = $total_.value*\frac{1}{2}*\frac{1}{2}=total_.value*(\frac{1}{2} )^2$

After 3rd year ⇒ Computer's value = $total_.value*\frac{1}{2}*\frac{1}{2}* \frac{1}{2}=total_.value*(\frac{1}{2})^3$

..... (Hopefully you see a pattern)

After x year ⇒ Computer's value = $total_.value*(\frac{1}{2})^x$

Therefore, the equation is: $total_.value*(\frac{1}{2})^x$

⇒that means the graph has to exponentially decreasing as it has

an exponent (meaning the function is exponential) and a base less

than 1 (meaning that the function is decreasing)

Answer: Choice (1)

Hope that helps!

5 0

2 years ago

Determine the vertex of the function f(x) = 3x2 – 6x + 13.

Olegator [25]

Answer:

i think it is a-2 to =6

Step-by-step explanation:

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6 0

3 years ago

Find the central angle of a sector of a circle of the area of the sector and the area of the circle are in the proportion of 3:5

abruzzese [7]

Answer:

$\theta = 216$

Step-by-step explanation:

Given

Area of Sector : Area of Circle = 3 : 5

Required

Determine the central angle

The question implies that

$\frac{Area_{sector}}{Area_{circle}} = \frac{3}{5}$

Multiply both sides by 5

$5 * \frac{Area_{sector}}{Area_{circle}} = \frac{3}{5} * 5$

$5 * \frac{Area_{sector}}{Area_{circle}} = 3$

Multiply both sides by Area{circle}

$5 * \frac{Area_{sector}}{Area_{circle}} * Area_{circle} = 3 * Area_{circle}$

$5 * {Area_{sector} = 3 * Area_{circle}$

Substitute the areas of sector and circle with their respective formulas;

$Area_{sector} =\frac{\theta}{360} * \pi r^2$

$Area_{circle} = \pi r^2$

So, we have

$5 * \frac{\theta}{360} * \pi r^2 = 3 * \pi r^2$

Divide both sides by $\pi r^2$

$5 * \frac{\theta}{360} * \frac{ \pi r^2}{\pi r^2} = 3 * \frac{\pi r^2}{\pi r^2}$

$5 * \frac{\theta}{360} = 3$

Multiply both sides by 360

$360 * 5 * \frac{\theta}{360} = 3 * 360$

$5 * \theta = 3 * 360$

Divide both sides by 5

$\frac{5 * \theta}{5} = \frac{3 * 360}{5}$

$\theta = \frac{3 * 360}{5}$

$\theta = \frac{1080}{5}$

$\theta = 216$

Hence, the central angle is 216 degrees

3 0

3 years ago

(01.04 NC The elevation of oty is 80 feet below sea level: the elevation of city is 18 feet below sea level. The elevation of pa

ser-zykov [4K]

Step-by-step explanation:

how the elevation of city can be seen below the sea level

6 0

3 years ago

An employee at a clothing store makes a base salary of $2,800 a month plus 6.75% of the sales that they make. The function E(s)=

Gennadij [26K]

Answer:

3,340$

Step-by-step explanation:

e(8000)=.0675(8000)+2800

e(8000)=540+2800

e(8000)=3340

4 0

3 years ago

Plz help me thank you :^((​

Plz help me thank you :^((