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2 years ago

6

What is equivalent to 3x - 4y = 6

2 answers:

Vlad [161]2 years ago

8 0

Answer:

$y=\frac{3}{4}x-\frac{3}{2}$

Step-by-step explanation:

We have been given the equation $3x-4y=6$

The given choices are the values of y in terms of x. Hence, we solve the equation for y.

Subtract 3x to both sides of the equation

$-4y=-3x+6$

Now, we divide both sides by -4

$y=\frac{-1}{4}(-3x+6)\\\\y=\frac{3}{4}x-\frac{6}{4}\\\\y=\frac{3}{4}x-\frac{3}{2}$

Last option is correct.

Evgen [1.6K]2 years ago

4 0

I hope this helps you

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A cell site is a site where electronic communications equipment is placed in a cellular network for the use of mobile phones. Th

Olegator [25]

Answer:

(a) 74553

(b) 172120

(c) 234802

Step-by-step explanation:

Given

$y = \frac{340110}{1 + 377e^{-0.259t}}$

Solving (a): 1998

Year 1998 means that:

$t =1998 - 1980$

$t =18$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*18}}$

$y = \frac{340110}{1 + 377e^{-4.662}}$

$y = \frac{340110}{1 + 3.562}$

$y = \frac{340110}{4.562}$

$y = 74553$ --- approximated

Solving (b): 2003

Year 2003 means that:

$t = 2003 - 1980$

$t =23$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*23}}$

$y = \frac{340110}{1 + 377e^{-5.957}}$

$y = \frac{340110}{1 + 0.976}$

$y = \frac{340110}{1.976}$

$y = 172120$ --- approximated

Solving (c): 2006

Year 2006 means that:

$t = 2006 - 1980$

$t =26$

So, we have:

$y = \frac{340110}{1 + 377e^{-0.259*26}}$

$y = \frac{340110}{1 + 377e^{-6.734}}$

$y = \frac{340110}{1 + 0.4485}$

$y = \frac{340110}{1.4485}$

$y = 234802$ --- approximated

3 0

2 years ago

Gary drove to the park at a rate of 50 miles per hour if it took him 2.5 hours to get from his house to the park how far away is

Marina86 [1]

Answer:

The distance of the park from the Gary's house is 125 miles.

Step-by-step explanation:

Speed of Gary = 50 miles/hour

Time taken by Gary to reach the park from his house = 2.5 hours

Now, we know that,

Distance travelled = speed × time

So, distance between park and Gary's house = speed × time

= 50 × 2.5

= 125 miles

So, the park is 125 miles away from the Gary's house.

4 0

2 years ago

How many ways can you arrange the letters in the word prime?

Jobisdone [24]

There are 5 letters in the word "prime"

Imagine we had 5 slots to fill. They are empty initially.
Slot 1 has 5 choices to pick from
Once we pick a letter, we have 4 choices left over for slot 2
Slot 3 will have 3 choices
Slot 4 will have 2 choices
Slot 5 will have 1 choice

We have this countdown: 5,4,3,2,1

which multiplies out to 5*4*3*2*1 = 120

There are 120 unique ways to arrange the letters. Order matters. Because order matters, this is a permutation.

7 0

3 years ago

Round off - 126,945 to the nearest hundred thousand nearest ten thousand nearest thousand which of these rounds amount to the cl

VARVARA [1.3K]

100,000 30,000 7,000

the first one i believe

5 0

3 years ago

THe product of three numbers is 3150. Two of the number are 14 and 15. Find the third number

Sholpan [36]

Answer:

15

Step-by-step explanation:

Let's call the mystery number x.

$14\cdot 15\cdot x=3150 \\\\210x=3150 \\\\x=3150/210=15$

Hope this helps!

4 0

3 years ago

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