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luda_lava [24]
3 years ago
11

"Solve each equation. Remember to check for extraneous solutions."

Mathematics
1 answer:
tigry1 [53]3 years ago
4 0
Determine the defined range k=0
move expression to the left side and change its sign so it would be the problem = 0 

write all numerators above the least common denominator 6k (*2*)-Squared 
calculate the sum or the difference

check the solution in the defined range

hope this helped you 




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Height
dem82 [27]

Answer:

<h3>1 secs</h3>

Step-by-step explanation:

Given the height of the discus can be modeled by the equation y=−16x ^2 +32x+4, where y represents the  height in feet of the discus in seconds, the velocity of the discus at its maximum height is zero.

Velocity v = dy/dx = 0

dy/dx = -32x + 32

0 = -32x + 32

32x = 32

x = 1 secs

Hence it will take the discus 1 secs to reach its maximum height

8 0
3 years ago
Application of Geometric Series
Gnoma [55]

Answer:

  7.2224

Step-by-step explanation:

The value of the summation is given by the formula ...

  Sn = (a1)(1 -r^n)/(1 -r) . . . . . where a1 is the first of n terms, and r is the common ratio.

Your sum has first term and ratio ...

  a1 = 2(0.6) . . . . . summation term for n=1

  r = 0.6

So the sum is ...

  \displaystyle \sum_{n=1}^4{2(0.6^n)}=2(0.6)\dfrac{1-0.6^4}{1-0.6}=\dfrac{1.2}{0.4}(0.8704) = 2.6112

Then the value of the entire given expression is ...

  \displaystyle 2+2\sum_{n=1}^4{}2(0.6^n)=2+2(2.6112)=\boxed{7.2224}

_____

A calculator can help you find the value.

6 0
2 years ago
What is the domain of the relation graphed below?
swat32
Since the only places where an x-ordinate exist are the closed circles, the domain will simply be:

D: { -5, -4, -3, 1, 2, 5 }
4 0
3 years ago
Read 2 more answers
Matt needs to swim 8 meters in 25 seconds yo qualify as a state swimer. Which unit rate describes the speed Matt needs to swim​
fiasKO [112]

Answer:

Option D, 0.32 meters per second

Step-by-step explanation:

<u>Step 1:  Find the unit rate at which Matt needs to swim</u>

Make an equation to represent the scenario.

<em>25m = 8</em>

<u>Step 2:  Solve for m by dividing both sides by 25</u>

25m / 25 = 8 / 25

<em>m = 0.32</em>

<u>Step 3:  Check</u>

To check, you can multiply the number of second, 25, by the meters per second to see if you get the total meters, 8.

0.32 * 25

<em>8</em>

So, the answer is correct :)

<u><em>0.32 means that Matt needs to swim 0.32 meters per second to qualify as a state swimmer.</em></u>

Answer:  Option D, 0.32 meters per second

3 0
3 years ago
Read 2 more answers
M is directly proportional to r2.when r=2,m=14.Work out the value of r when m =224
DENIUS [597]

Answer:

r=8

Step-by-step explanation:

we know that

A relationship between two variables, x, and y, represent a proportional variation if it can be expressed in the form  y=kx

In this problem

Let

y=m

x=r^{2}

substitute

m=kr^{2}

<u>Find the value of k</u>

For r=2, m=14

14=k(2^{2})

14=4k

k=14/4 ----> constant of proportionality

the equation is equal to

m=(14/4)r^{2}

Find the value of r when m=224

substitute in the equation and solve for r

224=(14/4)r^{2}

r^{2}=224*4/14

r^{2}=64

r=8

6 0
3 years ago
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