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Ierofanga [76]
3 years ago
11

Wyatt solved the following equation: x + one over two (6x − 4) = 6

Mathematics
1 answer:
Kamila [148]3 years ago
3 0

Answer:

x = 2

Step-by-step explanation:

x + 1/2 (6x - 4) = 6

DISTRIBUTIVE PROPERTY (distribute the 1/2)

x + 3x - 2 = 6

SIMPLIFY (combine like terms)

4x - 2 = 6

solve for x by adding 2 to both sides

4x = 8

divide both sides by 4

x = 2

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An experimental population of fruit flies increases according to the law of exponential growth. There were 60 flies after the 2n
Mice21 [21]

Answer:

There were 10 flies originally

Step-by-step explanation:

Since we have an exponential growth, we will be having a constant percentage of increase and we can set up the increase at any day using the following equation;

V = I(1+r)^d

where V is the number of flies on a particular day

I is the initial number of flies

r is the constant increase in percentage

and d is the number of days.

So we have for the second day;

60 = I(1+r)^2 ••••••(i)

For the fourth day, we have;

360 = I(1+r)^4 ••••••••(ii)

divide equation ii by i; we have;

360/60 = (1+r)^4/(1+r)^2

6 = (1+r)^2

(√6)^2 = (1+r)^2

1 + r = √6

r = √6 - 1

So we can substitute the value of r in any of the equations to get I which is the initial number of flies

Let’s use equation 1

60 = I(1 + r)^2

60 = I(1 + √6 -1)^2

60 = I(√6)^2

60 = 6I

I = 60/6

I = 10 flies

3 0
3 years ago
5) h(x) = 2x + 4; Find h(-3)
olya-2409 [2.1K]

Answer:

-2

Step-by-step explanation:

You make x= -3 then you insert it into the problem which is x= 2(-3)+4

2 times -3 is -6 which then you would get

-6+4 which equals -2

5 0
3 years ago
Given sinx= −3/5 when 3π/2 < x < 2π, find tan x/2
GarryVolchara [31]

Answer:

B -⅓

Step-by-step explanation:

sinx = -3/5

Adjacent² = 5² - 3² = 16

Adjacent = 4

tan(x) = -3/4

-¾ = 2tan(½x)/[1 - tan²(½x)]

-3 + 3tan²(½x) = 8tan(½x)

3tan²(½x) - 8tan(½x) - 3 = 0

tan(½x) = 3, -⅓

5 0
3 years ago
Read 2 more answers
The supplement of an angle is nines times as large as the complement of the angle. What is the measure of the angle to the neare
netineya [11]
I Think The answer is c I hope it helps My friend Message Me if I’m wrong and I’ll change My answer and fix it for you
4 0
3 years ago
The system of equations Y =-3x+2 and Y = 3x-6 is shown on the graph below.
Ira Lisetskai [31]

Answer:

A

Step-by-step explanation:

8 0
3 years ago
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