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anzhelika [568]
3 years ago
7

Find the domain/range and equation

Mathematics
1 answer:
vichka [17]3 years ago
6 0

Answer:

Domain = [1.5, 4.5]

Range  = [4, ∞)

Step-by-step explanation:

The domain of the graph are the values along the input variable x while the range are the values of the output variable y;

From the figure the domain values falls with the range [-1.5, -4.5] while the range are with thin the values [4, ∞)

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2(5m^4n^-1)^3 simplify show work please
dangina [55]

Answer:

\large\boxed{2(5m^4n^{-1})^3=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}}

Step-by-step explanation:

\text{Use}\\\\(ab)^n=a^nb^n\\\\(a^n)^m=a^{nm}\\\\a^{-n}=\dfrac{1}{a^n}\\-------------------\\\\2(5m^4n^{-1})^3=2(5)^3(m^4)^3(n^{-1})^3=2(125)m^{3\cdot4}n^{-1\cdot3}=250m^{12}n^{-3}=\dfrac{250m^{12}}{n^3}

8 0
3 years ago
HELPPPPP ASAPPPP
KATRIN_1 [288]

Answer:

The maximum height of the volleyball is 12.25 feet.

Step-by-step explanation:

The height of the volleyball, h(t), is modeled by this equation, where t represents the  time, in seconds, after that ball was set :

h(t)=-16t^2+20t+6 ....(1)

The volleyball reaches its maximum height after 0.625 seconds.

For maximum height,

Put \dfrac{dh}{dt}=0

Now put t = 0.625 in equation (1)

h(t)=-16(0.625)^2+20(0.625)+6\\\\h(t)=12.25\ \text{feet}

So, the maximum height of the volleyball is 12.25 feet.

5 0
4 years ago
A circle has a circumfence of 3.14 units what is the diameter of this circle ?
Agata [3.3K]

Answer:

Step-by-step explanation:

4 0
3 years ago
Josiah and his friends are going to the movies. Each ticket costs $10, and popcorn is $5 a bag. There is a $3 service fee for th
Free_Kalibri [48]
Make sure you check this because i do make mistakes.

10 x 4 = 40

75 - 40 = 35

So josiah has 35 dollars to spend for things other than tickets.

35 - 3 = 32 (for the service fee)

So josiah has 32 dollars to spend on popcorn

32/5 = 6.4 but you cant have half a bag of popcorn so

6 bags
8 0
3 years ago
George weighs 60 pounds less than his older brother. Together they weigh 240 pounds. How many pounds does George weigh?
lyudmila [28]

Easy Algebra question!

Let's use "x" as a variable.

The equation would be x+x+60 = 240 with "x" being George's weight.

Subtract 60 from both sides and you get 2x = 180.

From there you divide both sides by 2, getting x=90.

"x" is George's weight, so he weighs 90 pounds.

ANSWER: 90 POUNDS

7 0
3 years ago
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